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README.md +199 -0
config.json +171 -0
generation_config.json +9 -0
model-00001-of-00003.safetensors +3 -0
model-00002-of-00003.safetensors +3 -0
model-00003-of-00003.safetensors +3 -0
model.safetensors.index.json +970 -0

README.md ADDED Viewed

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+---
+library_name: transformers
+tags: []
+---
+# Model Card for Model ID
+<!-- Provide a quick summary of what the model is/does. -->
+## Model Details
+### Model Description
+<!-- Provide a longer summary of what this model is. -->
+This is the model card of a 🤗 transformers model that has been pushed on the Hub. This model card has been automatically generated.
+- **Developed by:** [More Information Needed]
+- **Funded by [optional]:** [More Information Needed]
+- **Shared by [optional]:** [More Information Needed]
+- **Model type:** [More Information Needed]
+- **Language(s) (NLP):** [More Information Needed]
+- **License:** [More Information Needed]
+- **Finetuned from model [optional]:** [More Information Needed]
+### Model Sources [optional]
+<!-- Provide the basic links for the model. -->
+- **Repository:** [More Information Needed]
+- **Paper [optional]:** [More Information Needed]
+- **Demo [optional]:** [More Information Needed]
+## Uses
+<!-- Address questions around how the model is intended to be used, including the foreseeable users of the model and those affected by the model. -->
+### Direct Use
+<!-- This section is for the model use without fine-tuning or plugging into a larger ecosystem/app. -->
+[More Information Needed]
+### Downstream Use [optional]
+<!-- This section is for the model use when fine-tuned for a task, or when plugged into a larger ecosystem/app -->
+[More Information Needed]
+### Out-of-Scope Use
+<!-- This section addresses misuse, malicious use, and uses that the model will not work well for. -->
+[More Information Needed]
+## Bias, Risks, and Limitations
+<!-- This section is meant to convey both technical and sociotechnical limitations. -->
+[More Information Needed]
+### Recommendations
+<!-- This section is meant to convey recommendations with respect to the bias, risk, and technical limitations. -->
+Users (both direct and downstream) should be made aware of the risks, biases and limitations of the model. More information needed for further recommendations.
+## How to Get Started with the Model
+Use the code below to get started with the model.
+[More Information Needed]
+## Training Details
+### Training Data
+<!-- This should link to a Dataset Card, perhaps with a short stub of information on what the training data is all about as well as documentation related to data pre-processing or additional filtering. -->
+[More Information Needed]
+### Training Procedure
+<!-- This relates heavily to the Technical Specifications. Content here should link to that section when it is relevant to the training procedure. -->
+#### Preprocessing [optional]
+[More Information Needed]
+#### Training Hyperparameters
+- **Training regime:** [More Information Needed] <!--fp32, fp16 mixed precision, bf16 mixed precision, bf16 non-mixed precision, fp16 non-mixed precision, fp8 mixed precision -->
+#### Speeds, Sizes, Times [optional]
+<!-- This section provides information about throughput, start/end time, checkpoint size if relevant, etc. -->
+[More Information Needed]
+## Evaluation
+<!-- This section describes the evaluation protocols and provides the results. -->
+### Testing Data, Factors & Metrics
+#### Testing Data
+<!-- This should link to a Dataset Card if possible. -->
+[More Information Needed]
+#### Factors
+<!-- These are the things the evaluation is disaggregating by, e.g., subpopulations or domains. -->
+[More Information Needed]
+#### Metrics
+<!-- These are the evaluation metrics being used, ideally with a description of why. -->
+[More Information Needed]
+### Results
+[More Information Needed]
+#### Summary
+## Model Examination [optional]
+<!-- Relevant interpretability work for the model goes here -->
+[More Information Needed]
+## Environmental Impact
+<!-- Total emissions (in grams of CO2eq) and additional considerations, such as electricity usage, go here. Edit the suggested text below accordingly -->
+Carbon emissions can be estimated using the [Machine Learning Impact calculator](https://mlco2.github.io/impact#compute) presented in [Lacoste et al. (2019)](https://arxiv.org/abs/1910.09700).
+- **Hardware Type:** [More Information Needed]
+- **Hours used:** [More Information Needed]
+- **Cloud Provider:** [More Information Needed]
+- **Compute Region:** [More Information Needed]
+- **Carbon Emitted:** [More Information Needed]
+## Technical Specifications [optional]
+### Model Architecture and Objective
+[More Information Needed]
+### Compute Infrastructure
+[More Information Needed]
+#### Hardware
+[More Information Needed]
+#### Software
+[More Information Needed]
+## Citation [optional]
+<!-- If there is a paper or blog post introducing the model, the APA and Bibtex information for that should go in this section. -->
+**BibTeX:**
+[More Information Needed]
+**APA:**
+[More Information Needed]
+## Glossary [optional]
+<!-- If relevant, include terms and calculations in this section that can help readers understand the model or model card. -->
+[More Information Needed]
+## More Information [optional]
+[More Information Needed]
+## Model Card Authors [optional]
+[More Information Needed]
+## Model Card Contact
+[More Information Needed]

config.json ADDED Viewed

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+{
+  "_name_or_path": "thewordsmiths/Llama_SciQ",
+  "architectures": [
+    "LlamaForCausalLM"
+  ],
+  "attention_bias": false,
+  "attention_dropout": 0.0,
+  "bos_token_id": 128000,
+  "eos_token_id": 128001,
+  "hidden_act": "silu",
+  "hidden_size": 4096,
+  "initializer_range": 0.02,
+  "intermediate_size": 14336,
+  "max_position_embeddings": 8192,
+  "mlp_bias": false,
+  "model_type": "llama",
+  "num_attention_heads": 32,
+  "num_hidden_layers": 32,
+  "num_key_value_heads": 8,
+  "pad_token_id": 128255,
+  "pretraining_tp": 1,
+  "quantization_config": {
+    "bits": 8,
+    "damp_percent": 0.1,
+    "dataset": [
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nThe average of five consecutive odd numbers is 61. What is the difference between the highest and lowest numbers?\n\n### Options:\nA. 6\nB. 7\nC. 8\nD. 4\nE. 1\n\n### Answer:\nLet the numbers x, x + 2, x + 4, x + 6 and x + 8\nThen, [x + (x + 2) + (x + 4) + (x + 6) + (x + 8)]5 = 61\nor 5x + 20 = 305 => x = 57\nSo, required difference = (57 + 8) - 57 = 8.\nAnswer: C\nThe answer is: C<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nIf the function Q is defined by the formula Q = 5w/(4vf(z^2)), by what factor will Q be multiplied if w is quadrupled, f is doubled, and z is tripled?\n\n### Options:\nA. 1/9\nB. 2/9\nC. 4/9\nD. 3/9\nE. 2/27\n\n### Answer:\nWe just need to find the factor thats all,\nw -> quadrupled -> 4w\nf-> doubled -> 2f\nz-> tripled -> 3Z\nHence, Z^2 = 9Z^2\nW is in numerator, and f*z in denominator.\nHence,\nAdditional factor being introduced = 4/2*9\n=4/18 = 2/9 = B\nThe answer is: B<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nhe distance from town A to town B is five miles. C is six miles from B. Which of the following could be the maximum distance from A to C?\n\n### Options:\nA. 11\nB. 77\nC. 51\nD. 16\nE. 12\n\n### Answer:\nExplanation:\nDo not assume that AB and C are on a straight line. Make a diagram with A and B marked 5 miles apart. Draw a circle centered on B, with radius 6. C could be anywhere on this circle. The minimum distance will be 1, and maximum 11\nAnswer:A\nThe answer is: A<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nA family has two children. find the probability that both the children are girls given that at least\none of them is a girl?\n\n### Options:\nA. 2/5\nB. 1/3\nC. 2/7\nD. 3/5\nE. 1/7\n\n### Answer:\nLet b stand for boy and g for girl. The sample space of the experiment is\nS = {(g, g), (g, b), (b, g), (b, b)}\nLet E and F denote the following events :\nE : \u2018both the children are girls\u2019\nF : \u2018at least one of the child is a girl\u2019\nThen E = {(g,g)} and F = {(g,g), (g,b), (b,g)}\nNow E n F = {(g,g)}\nThus P(F) = 3/4\nand P (E n F )= 1/4\nTherefore P(E|F) = P(E \u2229 F)/P(F) = (1/4)/(3/4) = 1/3\nB\nThe answer is: B<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nA train 1500 m long can cross an electric pole in 50 sec and then find the speed of the train?\n\n### Options:\nA. 106\nB. 107\nC. 108\nD. 109\nE. 110\n\n### Answer:\nLength = Speed * time\nSpeed = L/T\nS = 1500/50\nS = 30 M/Sec\nSpeed= 30*18/5 (To convert M/Sec in to Kmph multiply by 18/5)\nSpeed = 108 Kmph\nAnswer:C\nThe answer is: C<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nOn average, activated yeast cells divide once every 120 minutes; that is, each individual cell divides into two individual cells over that time span. Given that a certain yeast colony consisted of 300,000 cells two hours ago, approximately how many cells will be populating the colony six hours from now?\n\n### Options:\nA. 77,500\nB. 1,860,000\nC. 2,480,000\nD. 3,720,000\nE. 4,800,000\n\n### Answer:\n300,000 \u00d7 2 \u00d7 2\u00d72\u00d72 = 300,000 \u00d7 16 = E\nThe answer is: E<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nTwo pipes P and Q can fill a cistern in 12 and 15 minutes respectively. Both are opened together, but at the end of 3 minutes the first is turned off. How much longer will the cistern take to fill?\n\n### Options:\nA. 11 1/2 min\nB. 11 1/4 min\nC. 11 2/4 min\nD. 11 1/5 min\nE. 11 7/4 min\n\n### Answer:\n3/12 + x/15 = 1\nx= 11 1/4\nAnswer: B\nThe answer is: B<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nA recycling facility is staffed by 10 floor workers and one manager. All of the floor workers are paid equal wages, but the manager is paid n times as much as a floor worker. If the manager\u2019s wages account for 1/10 of all wages paid at the facility, what is the value of n?\n\n### Options:\nA. 5/4\nB. 10/9\nC. 3/2\nD. 5/3\nE. 5\n\n### Answer:\nSay each floor worker is paid $x, then the manager is paid $xn.\nTotal salary would be 10x+xn and we are told that it equals to 10xn:\n10x+xn=10xn --> reduce by x:10+n=10n -->9n= 10\nn = 10/9\nAnswer: B\nThe answer is: B<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nJohnson has a corporate proposal. The probability that vice-president Adams will approve the proposal is 0.6. If VP Adams approves the proposal, then the probability that vice-president Baker will approve the proposal is 0.4. If VP Adams doesn\u2019t approve the proposal, then the probability that vice-president Baker will approve the proposal is 0.3. What is the probability that at least one of the two VPs, approves Johnson\u2019s proposal?\n\n### Options:\nA. 0.12\nB. 0.24\nC. 0.28\nD. 0.48\nE. 0.72\n\n### Answer:\n(1at approves * second rejects ) + (1st rejects * 2nd approves ) + (both approves )\n=0.6*0.2+0.4*0.3+0.6*0.4\n= 0.12+0.12+0.24\n=0.48\nD\nThe answer is: D<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nIn how many ways, a committee of 5 members can be selected from 4 men and 5 ladies, consisting of 3 men and 2 ladies?\n\n### Options:\nA. 40\nB. 152\nC. 175\nD. 200\nE. 212\n\n### Answer:\n(3 men out 4) and (2 ladies out of 5) are to be chosen\nRequired number of ways = (4C3 * 5C2) = 40\nAnswer is A\nThe answer is: A<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nWhat is the greatest positive integer E such that 3^E is a factor of 9^10?\n\n### Options:\nA. E=5\nB. E=9\nC. E=10\nD. E=20\nE. 30\n\n### Answer:\nWhat is the greatest positive integer E such that 3^E is a factor of 9^10?\n9^10 = (3^2)^10 = 3^20\nD. 20\nThe answer is: D<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nBy selling a watch for Rs.400/-, a man loses 20% what is that watch cost price?\n\n### Options:\nA. s. 600/-\nB. s. 700/-\nC. s. 800/-\nD. s. 500/-\nE. s. 900/-\n\n### Answer:\n80 % ------> 400 (80 * 5 = 400)\n100 % ------>500 (100 * 5 = 500)\nCost price = Rs. 500/-\nD)\nThe answer is: D<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nIf 4XZ + YW = 10 and XW + YZ = 20, what is the value of the expression (2X + Y)(2Z + W)?\n\n### Options:\nA. 9.\nB. 12.\nC. 15.\nD. 50.\nE. 18.\n\n### Answer:\n(2x+y)*(2z+w) = 10+2(20) =50\nAnswer : D\nThe answer is: D<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nThe average of first 7 prime numbers is?\n\n### Options:\nA. 10.11\nB. 11.11\nC. 8.29\nD. 13.11\nE. 14.11\n\n### Answer:\nSum of 7 prime no. = 58\nAverage = 58/7 = 8.29\nANSWER: C\nThe answer is: C<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nIf x is an odd integer and y and z are even integers, which of the following CANNOT be an integer?\n\n### Options:\nA. y/z\nB. x/y\nC. z/x\nD. yx/z\nE. zx/y\n\n### Answer:\nx = Odd\ny = Even\nz = Even\nChecking Options:\nA. y/z Even/Even may be an Integer e.g. 4/2=2 Hence Incorrect Option\nB. x/y Odd/Even CAN NEVER be an Integer Hence Correct Option\nAnswer : B\nThe answer is: B<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nA boy was asked to multiply a number by 22. He instead multiplied the number by 44 and got the answer 308 more than the correct answer. What was the number to be multiplied?\n\n### Options:\nA. 16\nB. 10\nC. 14\nD. 12\nE. 13\n\n### Answer:\nLet required number\n=x\n=22x+308=44x\n\u21d222x=308\n\u21d2x=308/22\n=154/11\n=14\nAnswer :C\nThe answer is: C<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nA train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 sec. The speed of the train is?\n\n### Options:\nA. 40\nB. 50\nC. 60\nD. 70\nE. 80\n\n### Answer:\nSpeed of the train relative to man = 125/10 = 25/2 m/sec.\n= 25/2 * 18/5 = 45 km/hr\nLet the speed of the train be x km/hr. Then, relative speed = (x - 5) km/hr.\nx - 5 = 45 => x = 50 km/hr.\nAnswer: Option B\nThe answer is: B<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nConvert the 13/36 m/s into kilometers per hour?\n\n### Options:\nA. 2.9 kmph\nB. 9.9 kmph\nC. 1.3 kmph\nD. 1.2 kmph\nE. 5.7 kmph\n\n### Answer:\n13/36 m/s = 13/36 * 18/5 = 13/10\n= 1.3 kmph.\nAnswer: C\nThe answer is: C<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nThe difference between a 8 digit number and the number formed by reversing its digit is not a multiple of\n\n### Options:\nA. 3\nB. 5\nC. 296297\nD. 888891\nE. 2666673\n\n### Answer:\nAnother approach is to TEST a number.\nLet's say the original number is 12000002\nSo, the REVERSED number is 20000021\nThe DIFFERENCE = 20000021-12000002 = 8000019\nNo check the answer choices\n8000019 is a multiple of 3,296297,888891,2666673\n5 is NOT a multiple of 8000019\nAnswer ; B\nThe answer is: B<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\n1,000^2 + 1,001^2 +1,002^2 =\n\n### Options:\nA. 6,030,053\nB. 6,030,054\nC. 6,006,005\nD. 6,030,056\nE. 6,030,057\n\n### Answer:\nInteresting problem.\nI think key is to notice that all the given answer choices differs in last two digits. Therefore, our entire focus should be to figure out how the given terms contribute to last two digits of total.\n1000^2 -> 00\n1001^1 -> 01\n.\n.\n.\n1002^2 -> 5\nTotal -> *5\nAnswer C.\nThe answer is: C<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nJoshua and Jose work at an auto repair center with 5 other workers. For a survey on health care insurance, 2 of the 6 workers will be randomly chosen to be interviewed. What is the probability that Joshua and Jose will both be chosen?\n\n### Options:\nA. 1/21\nB. 1/12\nC. 1/9\nD. 1/6\nE. 1/3\n\n### Answer:\nTwo Methods\n1) Probability of chosing Josh first = 1/7\nProbability of chosing Jose second = 1/6\ntotal = 1/42\nProbability of chosing Jose first = 1/7\nProbability of chosing Josh second = 1/6\nTotal = 1/42\nFinal = 1/42 + 1/42 = 1/21\nA\nThe answer is: A<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nA and B complete a work in 6 days. A alone can do it in 10 days. If both together can do the work in how many days?\n\n### Options:\nA. 3.75 days\nB. 4 days\nC. 5 days\nD. 6 days\nE. 7 days\n\n### Answer:\nExplanation:\n1/6 + 1/10 = 8/30 = 4/15\n15/4 = 3.75 days\nAnswer: A\nThe answer is: A<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nOut of four numbers ,the average of first three is 16 and that of the last three is 15. If the last number is 21,the first number is :\n\n### Options:\nA. 22\nB. 21\nC. 77\nD. 99\nE. 24\n\n### Answer:\nExplanation:\nLet the numbers be a,b,c,d\nGiven, a + b + c = 48, b + c + d = 45\nNow, d = 21\nthus, b + c + 21 = 45 \u21d2 b + c = 24\nPutting the value of b + c in a + b + c = 48\na + 24 = 48 \u21d2 a = 24\nAnswer: E\nThe answer is: E<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\n9 friends went to a super market, and everyone decided to contribute equally to the total bill of $900. If one of the friends had a coupon for 10% off the total bill, and if each friend still contributed equally after the coupon was applied to the bill, how much did each friend pay?\n\n### Options:\nA. 30\nB. 60\nC. 80\nD. 90\nE. 95\n\n### Answer:\nAt the non-discounted price, each friend would pay $100, as $900 divided by 9 friends is $100 per friend. But if the bill is 10% off, then each friend would pay 10% less. 10% of $100 is $10, so each friend saves $10 and pays the remaining $90\nCORRECT OPTION:OPTION D\nThe answer is: D<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nIf X,Y is 20%,25% greater than Z then how much percentage is X smaller than Y?\n\n### Options:\nA. 2\nB. 4\nC. 6\nD. 7\nE. 1\n\n### Answer:\nX=120%\nY=125%\nZ=100%\nX-Y/Y*100 = 5/125*100\n==>4%\nANSWER B\nThe answer is: B<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nAccording to the directions on a can of frozen orange juice concentrate, 1 can of concentrate is to be mixed with 4 cans of water to make orange juice. How many 12 ounce cans of concentrate are required to prepare 140 six-ounce servings of orange juice?\n\n### Options:\nA. 12\nB. 14\nC. 16\nD. 18\nE. 20\n\n### Answer:\n1 X 12 ounce can of concentrate + 4 X 12 ounce cans of water = 60 ounces of the mixture.\n60 ounces of mixture gives (60 / 6 ) = 10 servings.\nThus 1 x 12 ounce can of concentrate is used to produce 10 servings of the mixture.\nTo make 140 servings of the mixture, we need 140 / 10 = 14 cans of the concentrate.\nThe answer is B.\nThe answer is: B<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nSudhir started a business with Rs.30,000 and after 8 months Ravi joined him with Rs.60,000. If they get a profit of Rs.28000 then ratio of their shares will be\n\n### Options:\nA. 3:2\nB. 2:3\nC. 4:3\nD. 3:4\nE. 3:5\n\n### Answer:\n30000*12:60000*(12-8)\n=360000 :240000\n=3:2\nANSWER:A\nThe answer is: A<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nThe average age of M boys is \u2018b\u2019 years and of \u2018n\u2019 girls \u2018c\u2019 years. The average age of all together is?\n\n### Options:\nA. (mb + nc)/ (m + b) years\nB. (mb + bc)/ (m + n) years\nC. (mb + nc)/ (m + n) years\nD. (nb + nc)/ (m + n) years\nE. (mb + nb)/ (m + n) years\n\n### Answer:\n(mb + nc) / (m+ n).nswer: C\nThe answer is: C<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nExcluding stoppages, the speed of a train is 48 kmph and including stoppages it is 36 kmph. Of how many minutes does the train stop per hour?\n\n### Options:\nA. 16\nB. 17\nC. 15\nD. 18\nE. 12\n\n### Answer:\nT = 12/48 * 60\n= 15\nAnswer: C\nThe answer is: C<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nAn assembly line produces 90 cogs per hour until an initial order of 60 cogs is completed. The speed of the assembly line is then immediately decreased so that it only produces 60 cogs per hour until another 60 cogs are produced. What is the overall average output, in cogs per hour, for the assembly line during this whole time?\n\n### Options:\nA. 68\nB. 69\nC. 70\nD. 71\nE. 72\n\n### Answer:\nThe time to produce the first 60 cogs is 60/90 = 2/3 hours.\nThe time to produce the next 60 cogs is 60/60 = 1 hour.\nThe average output is 120 cogs / (5/3) hours = 72 cogs per hour.\nThe answer is E.\nThe answer is: E<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nIf r < y < -1, which of the following is true?\n\n### Options:\nA. r/y > ry\nB. y/r > r+y\nC. y/r > ry\nD. y/r < r+y\nE. y/r > r/y\n\n### Answer:\nConsider :\nr= -3\ny= -2\nthen put for every option. U'll get ans B.\nThe answer is: B<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nA pump can fill a tank with water in 2 hours. Because of a leak, it took 7 hours to fill the tank. The leak can drain all the water in ?\n\n### Options:\nA. 15hr 10min\nB. 16hr 20min\nC. 2hr 48min\nD. 15hr\nE. 14hr 25min\n\n### Answer:\nWork done by the leak in 1 hour = 1/2 - 1/7 = 5/14\nLeak will empty the tank in 14/5 hrs = 2hr 48min\nAnswer is C\nThe answer is: C<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nOn a certain test, Bill scored 20 more points than John, but half as many points as Sue. If the sum of the scores of the three students was 220 points, how many points did Bill receive?\n\n### Options:\nA. 30\nB. 40\nC. 50\nD. 60\nE. 100\n\n### Answer:\nconsider john's points as x\nso bill's points are x +20\nSo sue's points are 2x +40\ntotal of all three students is 4x +60, but this total is given as 220\nx = 40\nso bill's points = 40 +20 = 60\ncorrect answer option D\nThe answer is: D<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nThe cross-section of a water channel is a trapezium in shape. If the channel is 12 meters wide at the top and 8 meters wide at the bottom and the area of cross-section is 700 square meters, what is the depth of the channel (in meters)?\n\n### Options:\nA. 50\nB. 60\nC. 70\nD. 80\nE. 90\n\n### Answer:\n1/2 * d * (12 + 8) = 700\nd = 70\nThe answer is C.\nThe answer is: C<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nIn a certain sequence, each term except for the first term is one less than twice the previous term. If the first term is 1.75, then the 3rd term is which of the following?\n\n### Options:\nA. \u22121.5\nB. \u22121\nC. 0\nD. 0.5\nE. 4\n\n### Answer:\nFirst = 1.75\nSecond = 2*1.75-1 = 2.5\nSecond = 2*2.5-1 = 4\nAnswer: option E\nThe answer is: E<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nA train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?\n\n### Options:\nA. 40\nB. 28\nC. 27\nD. 17\nE. 21\n\n### Answer:\nSpeed = 45 * 5/18 = 25/2 m/sec\nTotal distance covered = 360 + 140 = 500 m\nRequired time = 500 * 2/25\n= 40 sec\nAnswer: A\nThe answer is: A<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nWhat is the average of three tenths and five thousandths\n\n### Options:\nA. 0.2022\nB. 0.3325\nC. 0.1525\nD. 0.2012\nE. 0.2114\n\n### Answer:\nExplanation:\nthree tenths = 0.3\nFive thousandths = 0.005\nThe average is (0.3 + 0.005)/2 = 0.1525\nAnswer: C\nThe answer is: C<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nA train covers a distance of 1000 km in 10hrs. Find the speed of the train?\n\n### Options:\nA. 100km/hr\nB. 120km/hr\nC. 150km/hr\nD. 50km/hr\nE. 75km/hr\n\n### Answer:\nSpeed = 1000/10 = 100km/hr\nAnswer is A\nThe answer is: A<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nA box is in the shape of a semicircle with a radius of 12. What is the approximate perimeter of the semicircle?\n\n### Options:\nA. 54\nB. 62\nC. 25\nD. 34\nE. 60\n\n### Answer:\nperimeter of a circle =2pi*r\nperimeter of a semicircle = pi*r + 2r\naprox perimiter = 3.14*12 + 2*12 = 61.68 approximately 62\nanswer B\nThe answer is: B<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nThe probabilities of solving a question by 3students A, B & C are 1/2,1/3 &1/4, respectively. The probability that the problem will be solved is?\n\n### Options:\nA. 1/5\nB. 3/4\nC. 3/7\nD. 3/5\nE. 3/7\n\n### Answer:\nSol. First, we find the probability of not solving the problem x PTO x = (1 \u2014 D x - D x - D\n1 2 3 1 =iXiX71=4;\n1 3 Required probability 3/4\nB\nThe answer is: B<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nThe ratio of male to female in a class is 6:6. the career preference of the students in the class are to be represented in a circle graph. If the area of the graph allocated to each career preference is to be proportional to the number of students who have that career preference, how many degrees of the circle should be used to represent a career that is preferred by one third of the males and two-third of the females in the class?\n\n### Options:\nA. a)180 degree\nB. b) 168 degree\nC. c)191 degree\nD. d)192 degree\nE. e)204 degree\n\n### Answer:\nhere is my approach => males => 6x and females =6x => total =12x\nnow 12x=> 360\ntherefore 6x => 180 degree .\nP.S => 6x is nothing but total number of students with the given preference\nAnswer A\nThe answer is: A<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nA number which is divided by 13 and 26 yields same remainder?\n\n### Options:\nA. 108\nB. 61\nC. 86\nD. 78\nE. 92\n\n### Answer:\nWe can find it with the help of option\n108=108/13 and 108/26 not gives the remainder 6 and 3\n61=61/13 and 61/26 not gives the remainder 6 and 3\n86=86/13 and 86/26 not gives the remainder 6 and 3\n78=78/13 and 78/26 gives same remainder 0\nOption D\nThe answer is: D<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nIn a certain corporation, there are 300 male employees and 150 female employees. It is known that 30% of the male employees have advanced degrees and 40% of the females have advanced degrees. If one of the 450 employees is chosen at random, what is the probability this employee has an advanced degree or is female?\n\n### Options:\nA. 2/3\nB. 3/5\nC. 3/10\nD. 8/15\nE. 11/30\n\n### Answer:\nP(female) = 150/450 = 1/3\nP(male with advanced degree) = 0.3*300/450 = 90/450 = 1/5\nThe sum of the probabilities is 8/15\nThe answer is D.\nThe answer is: D<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nIf each day a tree loses half its remaining leaves, what fraction of its leaves will it have lost after 5 days ?\n\n### Options:\nA. 1/32\nB. 1/16\nC. 9/10\nD. 15/16\nE. 31/32\n\n### Answer:\nAt the end of each day, the tree has 1212 it's remaining leaves.\nIf initially the tree has x leaves.\nAfter day 1: 1/2x\nAfter day 2: 1/2x\u22171/2=1/^2 x and so on ....\nAfter day 5: 1/2^5x=1/32x\nSo leaves lost = Initial amount of leaves - Leaves remaining = x\u22121/32x=31/32x\nAnswer:E\nThe answer is: E<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nFind the principle on a certain sum of money at 5% per annum for 2 2/5 years if the amount being Rs.2120?\n\n### Options:\nA. Rs.1000.15\nB. Rs.1100.95\nC. Rs.1892.85\nD. Rs.1050.85\nE. Rs.1200.25\n\n### Answer:\n2120 = P [1 + (5*12/5)/100]\nP= 1892.85\nANSWER:C\nThe answer is: C<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nA, B and C are partners. A receives 2/3 of profits, B and C dividing the remainder equally. A's income is increased by Rs.400 when the rate to profit rises from 5 to 7 percent. Find the Capital of C?\n\n### Options:\nA. 3377\nB. 2899\nC. 5000\nD. 2778\nE. 1991\n\n### Answer:\nA:B:C = 2/3:1/6:1/6 = 4:1:1\nx * 2/100 * 2/3 = 400\nC's capital = 30000*1/6 = 5000\nAnswer: C\nThe answer is: C<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nIn the xy-plane, a triangle has vertices (0,0), (4,0) and (4,9). If a point (a,b) is selected at random from the triangular region, What is the probability that a-b>0?\n\n### Options:\nA. 1/5\nB. 1/3\nC. 1/2\nD. 2/9\nE. 4/5\n\n### Answer:\nThe area of the right triangle is (1/2)*4*9 = 18.\nOnly the points (a,b) below the line y=x satisfy a - b > 0.\nThe part of the triangle which is below the line y=x has an area of (1/2)(4)(4) = 8.\nP(a - b > 0) = 8/18 = 2/9\nThe answer is D.\nThe answer is: D<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nIf the sum of 7 consecutive negative integers is -70, what is the value of the 2nd number in the sequence?\n\n### Options:\nA. 8\nB. -9\nC. -8\nD. 9\nE. 6\n\n### Answer:\nif sum is -70, the average = median = -70/7 = -10 = which is the middle in the sequence.\n7/2 = 3.5. When rounded up = 4. So -10 is the 4th in the sequence.\n4th - 2nd = 2 numbers away.\n-10 + 2= -8\nAnswer: C\nThe answer is: C<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nIf x-y=10, which of the following must be true?\nI. Both x and y are positive\nII. If x is negative, y must be negative\nIII.If x is positive, y must be positive\n\n### Options:\nA. I only\nB. II only\nC. III only\nD. I and II\nE. II and III\n\n### Answer:\nThe best way to approach such questions is to plug in values for x and y\nGiven: x-y=10\nI. Both x and y are positive:\nLet x=12 and y=2\nx-y=10\nBut,\nLet x=6 and y=-4\nx-y=8\nTherefore, NOT TRUE\nIII. If x is positive, y must be positive\nLet x=12 and y=2\nx-y=10\nBut,\nLet x = 6 and y=-4\nx-y=10\nTherefore, NOT TRUE\nII. If x is negative, y must be negative\nIf x is negative, for the expression x-y=8 to be true, y must be a -ve number. Otherwise, the sum of two negative numbers will yield another negative number!\nTherefore, TRUE\nAns: 'B'\nThe answer is: B<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nIf 9x^2-16y^2=3x+4y,then what will give the answer?\n\n### Options:\nA. 3x-4y=0\nB. 3x-4y=2\nC. 3x-4y=1\nD. 3x+4y=0\nE. 3x+4y=1\n\n### Answer:\n9x^2-16y^2=3x+4y\n(3x+4y)(3x-4y)=3x+4y\n3x-4y=(3x+4y)/(3x+4y)\n3x-4y=1\nAnswer is option C\nThe answer is: C<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nA library contains 90671 books in English and 405063 books in other languages. What is the total number of books available in the library?\n\n### Options:\nA. 494947\nB. 494044\nC. 495734\nD. 493734\nE. 493923\n\n### Answer:\nNumber of English Books = 90671\nNumber of in other Language Books = 405063\ntotal number of books 90671 + 405063 = 495734 books\nanswer :C\nThe answer is: C<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nIn a rectangular coordinate system, what is the area of a rectangle whose vertices have the coordinates (-5, 1), (1, 1), (1, -4) and (-5, -4)?\n\n### Options:\nA. 20\nB. 30\nC. 40\nD. 55\nE. 48\n\n### Answer:\nLength of side 1= 5+1=6\nLength of side 2= 4+1= 5\nArea of rectangle= 6*5= 30\nB is the answer\nThe answer is: B<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nIf p(x)=ax^4+bx^3+cx^2+dx+e has roots at x=1,2,3,4 and p(0)=48, what is p(5)\n\n### Options:\nA. 48\nB. 24\nC. 0\nD. 50\nE. 40\n\n### Answer:\np(x)=ax^4+bx^3+cx^2+dx+e\nit can be written as\np(x)=a*(x-1)*(x-2)*(x-3)*(x-4) ----(1)\nput x=0 in(1), we get\np(0)=a*(-1)(-2)(-3)(-4)\n=> 48=a*24\n=> a=2\nso, p(x)=2*(x-1)*(x-2)*(x-3)*(x-4)\n=> p(5)=2*(5-1)*(5-2)*(5-3)*(5-4)=2*4*3*2*1=48\np(5) = 48\nANSWER:A\nThe answer is: A<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nEach of the 26 members in a high school class is required to sign up for a minimum of one and a maximum of three academic clubs. The three clubs to choose from are the poetry club, the history club, and the writing club. A total of 11 students sign up for the poetry club, 17 students for the history club, and 15 students for the writing club. If 5 students sign up for exactly two clubs, how many students sign up for all three clubs?\n\n### Options:\nA. 2\nB. 3\nC. 4\nD. 5\nE. 6\n\n### Answer:\nThe total number in the three clubs is 11+17+15=43.\nAll 26 students signed up for at least one club.\n5 of those students signed up for exactly one more club.\n43 - 31 = 12 so 6 students must have signed up for exactly three clubs.\nThe answer is E.\nThe answer is: E<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nIf the value of a piece of property decreases by 10% while the new tax rate on the property represent 110% of the original tax rate, what is the effect on the taxes?\n\n### Options:\nA. taxes increase by 10%\nB. taxes increase by 1%\nC. there is no change in taxes\nD. taxes decrease by 1%\nE. taxes decrease by 10%\n\n### Answer:\nConsider the value of property = 100, Original tax rate 10%, hence tax value = 100*10% = 10.\nDecreased value of property = 90, New tax rate = 110% of 10 = 11%, hence tax value = 90*11% = 9.9\n10-9.9 = decrease by 1%.\nAnswer D.\nThe answer is: D<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nA box contains 25 electric bulbs, out of which 4 are defective. Two bulbs are chosen at random from this box. The probability that at least one of these is defective is\n\n### Options:\nA. 3/10\nB. 7/19\nC. 12/19\nD. 21/95\nE. None\n\n### Answer:\nSolution\nP( None is defective)\n= 21C2 / 25C2\n= 7/10\nP( at least one is defective)\n= (1- 7/10)\n=3/10.\nAnswer A\nThe answer is: A<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nThis topic is locked. If you want to discuss this question please re-post it in the respective forum.\nMatt and Peter can do together a piece of work in 20 days. After they have worked together for 12 days Matt stops and Peter completes the remaining work in 16 days. In how many days Peter complete the work separately.\n\n### Options:\nA. 26 days\nB. 27 days\nC. 23 days\nD. 35 days\nE. 40 days\n\n### Answer:\nTogether they complete the job in 20 days means they complete 12/20 of the job after 12 days.\nPeter completes the remaining (8/20) of the job in 16 days which means that the whole job(1) can be completed in X days.\n<=> 8/20->16 <=> X=16/(8/20)=40 Thus the answer is E.\nThe answer is: E<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nThe difference between the place value and the face value of 8 in the numeral 856973 is\n\n### Options:\nA. 973\nB. 6973\nC. 5994\nD. 6084\nE. None of these\n\n### Answer:\n(Place value of 8) - (Face value of 8) = (800000 - 8) = 799992\nAnswer: Option E\nThe answer is: E<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nThe difference between the ages of two persons is 30 years. Fifteen years ago, the elder one was twice as old as the younger one. The present age of the younger person is?\n\n### Options:\nA. 30yr\nB. 25yr\nC. 45yr\nD. 40yr\nE. 50yr\n\n### Answer:\nLet their ages be x years and (x+30) years\nThen, (x+30) - 15 = 2(x-15)\nx +15 = 2x-30\nx = 45\nAnswer is C\nThe answer is: C<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nIn an examination 65% failed in Math and 35% failed in French. If 22% failed in both. What % of students passed in both.\n\n### Options:\nA. 22%\nB. 15%\nC. 20%\nD. 30%\nE. 10%\n\n### Answer:\nPassed in Math = 100 - 65 = 35%\nPassed in French = 100 - 35 = 65%\nStudents who passed Math or French = 100 -22 = 78%\nStudents passed in Math and French = (Passed in Math) + (Passed in French) - (Students who passed Math or French) = 35+65-78 =22%\nANSWER:A\nThe answer is: A<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nThe value of ((x \u2013 y)\u00b3 + (y - z)\u00b3 + (z \u2013 x)\u00b3)/(21 (x \u2013 y) (y \u2013 z) (z \u2013 x))\nis equal to :\n\n### Options:\nA. 0\nB. 1/12\nC. 1/7\nD. 1/4\nE. 1/3\n\n### Answer:\nSince (x \u2013 y) + (y \u2013 z) + (z \u2013 x) = 0,\nso (x \u2013 y)\u00b3 + (y \u2013 z)\u00b3 + (z \u2013 x)\u00b3= 3 (x \u2013 y) (y \u2013 z) (z \u2013 x).\n(3 (x \u2013 y) (y \u2013 z) (z \u2013 x))/(21(x \u2013 y) (y \u2013 z) (z \u2013 x)) = 1/7.\nANSWER:C\nThe answer is: C<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nIf y \u2260 3 and 2 x/y is a prime integer greater than 2, which of the following must be true?\nI. x = y\nII. y = 1\nIII. x and y are prime integers.\n\n### Options:\nA. None\nB. I only\nC. II only\nD. III only\nE. I and II\n\n### Answer:\nLet 2 x/Y = K , Where k is a prime number > 2 ( 3, 5, 7, 11 ...etc)\nso 2x = Ky --> ( 3y or 5y or 7y or 11y etc...)\nWhich implies always X > Y\nSo answer is (A)\nThe answer is: A<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nA certain club has exactly 5 new members at the end of its first week. Every subsequent week, each of the previous week's new members (and only these members) brings exactly M new members into the club. If y is the number of new members brought into the club during the twelfth week, which of the following could be y?\n\n### Options:\nA. 5^1/12\nB. 3^11 * 5^11\nC. 3^12 * 5^12\nD. 3^11 * 5^12\nE. 60^12\n\n### Answer:\nAt the end of the first week, there are 5 new members;\nAt the end of the second week, there are 5M new members (since each 5 new members from the previous week brings M new members);\nAt the end of the third week, there are 5M^2 new members (since each 5M new members from the previous week brings M new members);\n...\nAt the end of the twelfth week, there are 5M^11 new members (since each 5M^10 new members from the previous week brings M new members).\nWe are given that 5M^11=y. Out of the answers only D yields integer value for M: 5M^11=3^11 * 5^12 --> M=3*5=15.\nAnswer: D.\nThe answer is: D<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nThe sum of first four prime numbers is?\n\n### Options:\nA. 17\nB. 23\nC. 24\nD. 28\nE. 30\n\n### Answer:\nRequired sum = (2 + 3 + 5 + 7) = 17.\nNote: 1 is not a prime number.\nDefinition: A prime number (or a prime) is a natural number that has exactly two distinct natural number divisors: 1 and itself.\nA\nThe answer is: A<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nThe set S has 36 different subsets each of which contains exactly two elements. How many subsets of S could contain exactly six elements each?\n\n### Options:\nA. 96\nB. 80\nC. 84\nD. 88\nE. 92\n\n### Answer:\nnC2 = 36\n=> n*(n-1)/2 = 36 by middle term factor and n cannot be negative\n=> n = 9\nnC3 = 9C6 = 9!/6!*(9-6)!= 9*8*7*6!/6!*3*2 =84\nSo, Answer is C.\nThe answer is: C<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nIn a vessel, there are 10 litres of alcohol. An operation is defined as taking out five litres of what is present in the vessel and adding 10 litres of pure water to it. What is the ratio of alcohol to water after two operations?\n\n### Options:\nA. 1 : 0\nB. 1 : 5\nC. 1 : 1\nD. 1 : 2\nE. 1 : 9\n\n### Answer:\nFinal concentration = Initial concentration (1\u2212replacement quantityfinal volume)(1\u2212replacement quantityfinal volume)\nFinal concentration = =1\u00d7(1\u22121015)=13=1\u00d7(1\u22121015)=13\nFinal concentration = 13\u00d7(1\u22121020)=1613\u00d7(1\u22121020)=16\nSo ratio of alcohol : water = 1 : 5\nAnswer:B\nThe answer is: B<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nThe average weight of a group of boys is 30 kg. After a boy of weight 36 kg joins the group, the average weight of the group goes up by 1 kg. Find the number of boys in the group originally ?\n\n### Options:\nA. A)5\nB. B)8\nC. C)6\nD. D)2\nE. E)1\n\n### Answer:\nLet the number off boys in the group originally be x.\nTotal weight of the boys = 30x\nAfter the boy weighing 36 kg joins the group, total weight of boys = 30x + 36\nSo 30x + 36 = 31(x + 1) = > x = 5.\nAnswer:A\nThe answer is: A<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nHow many words can be formed by using all letters of the word \u2018DAUGHTER\u2019 so that the vowels always come together?\n\n### Options:\nA. 1214\nB. 4320\nC. 1254\nD. 3265\nE. 4512\n\n### Answer:\nGiven word contains 8 different letters. When the vowels AUE are always together, we may suppose them to form an entity, treated as one letter.\nThen, the letters to be arranged are DGNTR (AUE).\nThen 6 letters to be arranged in 6p6 = 6! = 720 ways.\nThe vowels in the group (AUE) may be arranged in 3! = 6 ways.\nRequired number of words = (720x6) = 4320.\nAns: B\nThe answer is: B<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nIf x is positive integer,y is negative integer, and 5x+2y=4, which of the following could be the value of x ?\n\n### Options:\nA. 0\nB. 1\nC. 2\nD. 3\nE. 4\n\n### Answer:\nUse answer options to solve this problem -\nPut x = 2\nSo, 5x+2y=4\nOr, 5(2)+2y=4\nOr, 10+2y=4\nOr, 2y=4-10;2y=-6\nOr, y=-3(y is negative integer)\nAnswer will be (C)\nThe answer is: C<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nIf X gets 25% more than Y and Y gets 20% more than Z, the share of Z out of Rs. 1110 will be:\n\n### Options:\nA. Rs. 300\nB. Rs. 200\nC. Rs. 240\nD. Rs. 350\nE. None of these\n\n### Answer:\nZ share = Z,\nY = 1.2Z\nX = 1.25\u00c3\u20141.2Z,\nX+Y+Z =111\n(1.25\u00c3\u2014 1.2+1.2+1)Z=1110\n3.7Z=1110, Z=300\nAnswer: . A\nThe answer is: A<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nTwo goods trains each 720 m long are running in opposite directions on parallel tracks. Their speeds are 45 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one?\n\n### Options:\nA. 22 sec\nB. 88 sec\nC. 48 sec\nD. 18 sec\nE. 72 sec\n\n### Answer:\nRelative speed = 45 + 30 = 75 km/hr.\n75 * 5/18 = 125/6 m/sec.\nDistance covered = 750 + 750 = 1500 m.\nRequired time = 1500 * 6/125 = 72 sec.\nAnswer:E\nThe answer is: E<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nIf the price of a book is first decreased by 50% and then increased by 60%, then the net change in the price will be?\n\n### Options:\nA. 20% decrease\nB. 10% increase\nC. 10% decrease\nD. 15% increase\nE. 25% decrease\n\n### Answer:\nLet the original price be $100\nNew final price = 160% of (50% of $100)\n= 160/100 * 50/100 *100 = $80\nDecrease is 20%\nAnswer is A\nThe answer is: A<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nThe standard deviation of a normal distribution of data is 2, and 3 standard deviations below the mean is greater than 44. What is a possible value for the mean of the distribution?\n\n### Options:\nA. 46\nB. 47\nC. 48\nD. 49\nE. 51\n\n### Answer:\nThe standard deviation ({SD}) = 2;\n3 standard deviations below the mean is greater than 44:\n{Mean} - 3*{SD} > 44;\n{Mean} - 6 > 44;\n{Mean} > 50.\nAnswer: E.\nThe answer is: E<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nAt present, the ratio between the ages of Arun and Deepak is 4:3. After 2 years, Arun's age will be 26 years. What is the age of Deepak at present?\n\n### Options:\nA. 16\nB. 17\nC. 10\nD. 18\nE. 15\n\n### Answer:\nLet the present ages of Arun and Deepak be 4x and 3x years respectively.\nThen, 4x + 2 = 26 => x = 8\nDeepak's age = 3x = 18 years.\nAnswer: D\nThe answer is: D<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nIn 2008, the profits of Company N were 10 percent of revenues. In 2009, the revenues of Company N fell by 20 percent, but profits were 18 percent of revenues. The profits in 2009 were what percent of the profits in 2008?\n\n### Options:\nA. 80%\nB. 105%\nC. 120%\nD. 144%\nE. 138%\n\n### Answer:\nx = profits\nr= revenue\nx/r = 0,1\nx= 10\nr=100\n2009:\nr=80\nx/80 = 0,18 = 18/100\nx= 80*18/100\nx= 14.4\n14.4/10 = 1,44 = 144%, Answer D\nThe answer is: D<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nA shopkeeper buys two articles for Rs.1000 each and then sells them, making 30% profit on the first article and 30% loss on second article. Find the net profit or loss percent?\n\n### Options:\nA. 200\nB. 768\nC. 276\nD. 300\nE. 279\n\n### Answer:\nProfit on first article = 30% of 1000 = 300.\nThis is equal to the loss he makes on the second article. That, is he makes neither profit nor loss.\nAnswer: D\nThe answer is: D<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nThe average score in an examination of 10 students of a class is 60. If the scores of the top five students are not considered, the average score of the remaining students falls by 5. The pass mark was 50 and the maximum mark was 100. It is also known that none of the students failed. If each of the top five scorers had distinct integral scores, the maximum possible score of the topper is\n\n### Options:\nA. 99\nB. 95\nC. 98\nD. 97\nE. 100\n\n### Answer:\nThe average score in an examination of 10 students of a class is 60 --> the total score = 10*60 = 600;\nThe 5 smallest scores have an average of 55 --> the total score of the 5 smallest scores = 275.\nFrom above, the total score of the 5 largest scores = 600 - 275 = 325.\nSay the 5 largest scores are a, b, c, d, and e (where a<b<c<d<e, since each of the top five scorers had distinct scores). We want to maximize e. To maximize e, we need to minimize a, b, c, and d. The least value of a, is 55 (The least score of the top 5 , a, should be equal to the highest of the bottom 5 and to minimize the highest of the bottom 5, all scores from the bottom 5 should be equal). In this case the least values of b, c, and d are 56, 57, and 58 respectively:\na + b + c + d + e = 55 + 56 +57 + 58 + e = 325;\ne = 99.\nAnswer: A.\nThe answer is: A<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nIn an increasing sequence of 8 consecutive integers, the sum of the first 4 integers is 570. What is the sum of the last 4 integers in the sequence?\n\n### Options:\nA. 585\nB. 580\nC. 586\nD. 587\nE. 589\n\n### Answer:\nSolution:\nIn solving this problem we must first remember that when we have 8 consecutive integers we can display them in terms of just 1 variable. Thus, we have the following:\nInteger 1: x\nInteger 2: x + 1\nInteger 3: x + 2\nInteger 4: x + 3\nInteger 5: x + 4\nInteger 6: x + 5\nInteger 7: x + 6\nInteger 8: x + 7\nWe are given that the sum of the first 4 integers is 570. This means that:\nx + x+1 + x+2 + x+3 = 570\n4x + 6 = 570\n4x = 564\nx = 141\nThe sum of the last 4 integers can be expressed and simplified as:\nx+4 + x+5 + x+6+ x+7 = 4x + 22\nSubstituting 141 for x yields:\n(4)(141) + 22 = 586\nAnswer: C\nThe answer is: C<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nA certain high school has 500 students. Of these students, 50 are taking music, 20 are taking art, and 10 are taking both music and art. How many students are taking neither music nor art?\n\n### Options:\nA. 430\nB. 440\nC. 450\nD. 460\nE. 470\n\n### Answer:\nWe're given a series of facts to work with:\n1) A certain high school has 500 students.\n2) Of these students:\nX are taking music,\nY are taking art, and\nZ are taking BOTH music and art.\nWe're asked how many students are taking NEITHER music nor art?\nLet's TEST\nX = 50\nY = 20\nZ = 10\nSo, we have 50 students taking music, 20 taking art and 10 taking BOTH music and art.\n40 student taking JUST music\n10 student taking JUST art\n10 student taking BOTH music and art\nTotal = 60 students\nWe're asked for the total number of students who are taking NEITHER Course. That is 500 - 60 = 440.\nB\nThe answer is: B<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nA train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is?\n\n### Options:\nA. 13 km/hr\nB. 50 km/hr\nC. 17 km/hr\nD. 18 km/hr\nE. 12 km/hr\n\n### Answer:\nSpeed of the train relative to man = (125/10) m/sec\n= (25/2) m/sec. [(25/2) * (18/5)] km/hr\n= 45 km/hr. Let the speed of the train be x km/hr. Then, relative speed\n= (x - 5) km/hr. x - 5 = 45 ==> x\n= 50 km/hr.\nAnswer:B\nThe answer is: B<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nIf X,Y is 20%,25% greater than Z then how much percentage is X smaller than Y?\n\n### Options:\nA. 3 1/13%\nB. 3%\nC. 3 11/13%\nD. 4%\nE. None of these\n\n### Answer:\nExplanation:\nX = 125%\nY = 130%\nZ = 100%\nX-Y/Y * 100 = 5/130 * 100\n= 500/130 %\n= 3 11/13% smaller than Y\nAnswer: Option C\nThe answer is: C<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nIn the xy-plane, line e passes through point (3,-2) and intersect perpendicularly with line n that passes through points (0,3) and (3,5). What is the equation of line e?\n\n### Options:\nA. 3x+2y-5=0\nB. 3x+2y+5=0\nC. 2x-3y-12=0\nD. 2x+3y=0\nE. 4x+3y-6=0\n\n### Answer:\nIf two lines intersect perpendicularly, we get -1 when we multiply two slopes together. The slope of a line n is (5-3)/(3-0)=2/3. Hence, the slope of a line e should be -3/2. Since it crosses (3,-2), if we calculate we get 3x+2y=5. Hence, the correct answer is A.\nThe answer is: A<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nWalking at 6/7th of his usual speed, a man is 25 mins too late. His usual time is\n\n### Options:\nA. 7.5 hrs\nB. 1.5 hrs\nC. 2.5 hrs\nD. 1.67 hrs\nE. 2.67 hrs\n\n### Answer:\nAs the distance is same s*t=6/7s*(t+25)\nsolving this we get t=150 sec\n150/60=2.5 hrs\nANSWER:C\nThe answer is: C<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nIn a competitive examination in State A, 6% candidates got selected from the total appeared candidates. State B had an equal number of candidates appeared and 7% candidates got selected with 80 more candidates got selected than A. What was the number of candidates appeared from each State ?\n\n### Options:\nA. 2438\nB. 8000\nC. 2379\nD. 2988\nE. 2791\n\n### Answer:\nExplanation:\nLet the number of candidates appeared from each state be x.\nIn state A, 6% candidates got selected from the total appeared candidates\nIn state B, 7% candidates got selected from the total appeared candidates\nBut in State B, 80 more candidates got selected than State A\nFrom these, it is clear that 1% of the total appeared candidates in State B = 80\n=> total appeared candidates in State B = 80 x 100 = 8000\n=> total appeared candidates in State A = total appeared candidates in State B = 8000\nAnswer: B) 8000\nThe answer is: B<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nWhen she chooses a password, Eloise\nalways uses exactly ten different\ncharacters: five letters (A, B, C, D, and E)\nand five numbers (2, 3, 4, 5, and 6).\nAdditionally, she always ensures that no\npair of letters is consecutive and that no\npair of numbers is consecutive. How many\ndifferent passwords conform to these rules?\n\n### Options:\nA. fewer than 1,000\nB. between 1,000 and 10,000\nC. between 10,000 and 100,000\nD. between 100,000 and 1,000,000\nE. more than 1,000,000\n\n### Answer:\nThe first character of the password can be any letter or number, so Eloise has ten\noptions. Her second choice must be from the set (letter or number) not yet used, so she\nhas five options. Choice 3 is from the same set as Choice 1, and she has four options left.\nChoice 4 is the second item from the same set as Choice 2, so she has four options.\nChoices 5 and 6 are from different sets, each with three options; Choices 7 and 8 are from\ndifferent sets, each with two options; Choices 9 and 10 are from different sets, each with\nonly one option remaining. You can see this information in the following chart:\n1st 2nd 3rd 4th 5th 6th 7th 8th 9th 10th\n10 5 4 4 3 3 2 2 1 1\nTo find the total number of possible passwords, multiply these numbers together:\n10 \u00d7 5 \u00d7 4 \u00d7 4 \u00d7 3 \u00d7 3 \u00d7 2 \u00d7 2 \u00d7 1 \u00d7 1 = 28,800\ncorrect anser C)between 10,000 and 100,000\nThe answer is: C<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nIf m is a positive integer and m^2 is divisible by 33, then the largest positive integer that must divide m is?\n\n### Options:\nA. 3\nB. 6\nC. 8\nD. 11\nE. 16\n\n### Answer:\nM^2 is divisible by 33 so M^2 must be multiple of 48.\nIf the value of M is Multiples of 11 then it will satisfy the condition. If we If M is 12 or 24 or 36 then it ans is D but if M = 33 then answer should be 16.\nIs the question right? Or am i missing some thing?\nD\nThe answer is: D<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nTwo trains are moving in opposite directions with speed of 70 km/hr and 90 km/hr respectively. Their lengths are 1.10 km and 0.9 km respectively. the slower train cross the faster train in --- seconds\n\n### Options:\nA. 56\nB. 45\nC. 47\nD. 26\nE. 25\n\n### Answer:\nExplanation:\nRelative speed = 70+90 = 160 km/hr (Since both trains are moving in opposite directions)\nTotal distance = 1.1+.9 = 2km\nTime = 2/160 hr = 1/80 hr = 3600/80 seconds = = 45 seconds\nAnswer: Option B\nThe answer is: B<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nHow many prime numbers exist between 1 and 20?\n\n### Options:\nA. 7\nB. 6\nC. 5\nD. 8\nE. 9\n\n### Answer:\nE)\nThe answer is: E<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nJolene entered an 18-month investment contract that guarantees to pay 2 percent interest at the end of 4 months, another 3 percent interest at the end of 12 months, and 4 percent interest at the end of the 18 month contract. If each interest payment is reinvested in the contract, and Jolene invested $10,000 initially, what will be the total amount of interest paid during the 18-month contract?\n\n### Options:\nA. $506.00\nB. $726.24\nC. $900.00\nD. $920.24\nE. $926.24\n\n### Answer:\nIf interest were not compounded in every six months (so if interest were not earned on interest) then we would have (2+3+4)=9% simple interest earned on $10,000, which is $900. So, you can rule out A, B and C right away.\nInterest earned after the first time interval: $10,000*2%=$200;\nInterest earned after the second time interval: ($10,000+$200)*3%=$300+$6=$306;\nInterest earned after the third time interval: ($10,000+$200+$306)*4%=$400+$8+(~$12)=~$420;\nTotal: 200+306+(~420)=~$920.24\nAnswer: D.\nThe answer is: D<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nIn a survey of 350 employees, 104 of them are uninsured, 54 work part time, and 12.5 percent of employees who are uninsured work part time. If a person is to be randomly selected from those surveyed, what is the probability that the person will neither work part time nor be uninsured?\n\n### Options:\nA. 7/12\nB. 8/41\nC. 9/348\nD. 1/8\nE. 41/70\n\n### Answer:\n---------UI----------------NUI-------Total\nPT----(12.5/100)*104 = 13----------- --54\nNPT---104-13-------------- x--------296\nTotal--104----------------------------350\nwe have to find not part time and not uninsured . in other words not part time and insured = x/350 = (296-104+13)/350\n= 41/70\nAnswer is E.\nThe answer is: E<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nThe value of (2.502+0.064)^2 - (2.502-0.064)^2/2.502*0.064\n\n### Options:\nA. .25\nB. .235\nC. 4\nD. 3\nE. 2\n\n### Answer:\n(2.502+0.064)2 - (2.502-0.064)2/2.502*0.064 = (a+b)2 - (a-b)/ab\n= 4ab/ab\n= 4\nANSWER:C\nThe answer is: C<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nOn flipping 2 coins together what is the outcomes for at least two heads?\n\n### Options:\nA. {HH}\nB. {TT}\nC. {HT}\nD. {TH}\nE. None\n\n### Answer:\nSample space, S = {HH, TH, TH, TT}\nFavorable outcomes for at least two heads\n= favorable outcomes for exactly two heads and favorable outcomes for more than two heads\n= {HH}\nA\nThe answer is: A<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nThe difference between simple and compound interest on Rs. 1600 for one year at 10% per annum reckoned half-yearly is?\n\n### Options:\nA. 8\nB. 3\nC. 9\nD. 4\nE. 2\n\n### Answer:\nS.I. = (1600 * 10 * 1)/100 = Rs. 160\nC.I. = [1600 * (1 + 5/100)2 - 1600]\n= Rs. 164 Difference = (164 - 160)\n= Rs.4.\nAnswer:D\nThe answer is: D<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nTwo cars cover the same distance at the speed of 50 and 45 kmps respectively. Find the distance traveled by them if the slower car takes 1 hour more than the faster car?\n\n### Options:\nA. 278\nB. 277\nC. 960\nD. 600\nE. 261\n\n### Answer:\n50(x + 1) = 45 x\nX = 10\n60 * 10 = 600 km\nAnswer:D\nThe answer is: D<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nIncome and expenditure of a person are in the ratio 5 : 4. If the income of the person is Rs. 20000, then find his savings?\n\n### Options:\nA. Rs.3600\nB. Rs.4000\nC. Rs.3639\nD. Rs.3632\nE. Rs.3602\n\n### Answer:\nLet the income and the expenditure of the person be Rs. 5x and Rs. 4x respectively.\nIncome, 5x = 20000 => x = 4000\nSavings = Income - expenditure = 5x - 4x = x\nSo, savings = Rs.4000\nAnswer: B\nThe answer is: B<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nDhoni spent 40 percent of his earning last month on rent and 20 percent less than what he spent on rent to purchase a new dishwasher. What percent of last month's earning did Dhoni have left over?\n\n### Options:\nA. 30%\nB. 28%\nC. 32%\nD. 33%\nE. 34%\n\n### Answer:\nSay Dhoni's earning last month was $100.\nDhoni spent 40 percent of his earning last month on rent --> $40 on rent;\n20 percent less than what he spent on rent to purchase a new dishwasher --> $40*0.8=$32 on the dishwasher.\nLeft over amount 100 - (40 + 32) = $28\nAnswer: B\nThe answer is: B<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nThe equal amounts of money are deposited in two banks each at 15% per annum for 3.5 years and 5 years respectively. If the difference between their interests is Rs.144, find the each sum?\n\n### Options:\nA. 299\nB. 100\nC. 270\nD. 278\nE. 213\n\n### Answer:\n(P*5*15)/100 - (P*3.5*15)/100 = 144\n75P/100 \u2013 52.5P/100 = 144\n22.5P = 144 * 100\n=> P = Rs.640.Answer: B\nThe answer is: B<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nOf three numbers, the third is twice the second and the second is 4 times the first. If their average is 78, the smallest of the three numbers is:\n\n### Options:\nA. 18\nB. 19\nC. 20\nD. 21\nE. 22\n\n### Answer:\nExplanation:\nLet first number be x.\nSo,2nd no. = 4x & 3rd no.=8x.\nSo,x+4x+8x=78 \u00d7 3 = 234.\n13x = 234\nx = 234/13\nHence,smallest Number x=18.\nAnswer: A\nThe answer is: A<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nIf two numbers, a and b, are to be chosen from a set of 4 consecutive integers starting with 1 and a set of three consecutive even integers starting with 6, respectively, what is the probability that b/a will not be an integer?\n\n### Options:\nA. 1/6\nB. 1/4\nC. 1/3\nD. 1/2\nE. 2/3\n\n### Answer:\na is from the following set {1,2,3,4}\nb is from the following set {6,8,10}\nThe total number of ways of choosing 2 integers, one from each set is 4*3 = 12 ways.\nThe possibilities where b/a is not an integer is for the following outcomes:\n{b,a} = {6,4},{8,3},{10,3},{10,4} = 4 ways\nThus the probability is 4/12 = 1/3\nThe answer is C.\nThe answer is: C<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nA and B working separately can complete a piece of work in 9 and 12 days respectively. If they work alternatively starting from A in how many days will the work be completed?\n\n### Options:\nA. 10.21 days\nB. 10.23 days\nC. 18.25 days\nD. 10.25 days\nE. 40.25 days\n\n### Answer:\nExplanation:\nA takes 9 days to complete a piece of work. B takes 12 days to complete a piece of work.\n=> In one day A came complete 1/9th of the task(x/9)\n=> In one day B can complete 1/12th of the job.(x/12)\nFirst day x/9th work will be done next day x/12th and so on:\nTogether A and B can do x/9 + x/12 work.\n=>(x/9) + (x/12) = 7/36th work done\nIn 10 days 35/36th of the work will be done.\nOn 11th day it will be A\u2019s chance. It takes A 1 day to complete 1/9th work.\nSo, 1/36th work will be done in 1/4 days.\n=>10.25 days\nANSWER: D\nThe answer is: D<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nLook at this series: 439,404, 369, 334, 299, 264 ... What number should come next?\n\n### Options:\nA. 206\nB. 208\nC. 206\nD. 229\nE. 204\n\n### Answer:\n229\nThis is a simple subtraction series. Each number is 35 less than the previous number.\nD\nThe answer is: D<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nA man can row three - quarters of a kilometer against the stream in 11\u00bcminutes. The speed(in km/hr) of the man in still water is\n\n### Options:\nA. 2\nB. 3\nC. 4\nD. 5\nE. 6\n\n### Answer:\nSolution\nRate upstream\t= (750 / 675)m/sec\n= (10 / 9) m/ sec.\nRate downstream\t= (750 / 450)\n=(5 / 3) m/sec\nRate in still water\t= 1/2(10 /9 + 5/3)\n= (25/18x18/5)km/hr\n= 5 km/hr.\nAnswer D\nThe answer is: D<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nAmit Kumar invested an amount of 15,000 at compound interest rate of 10 pcpa for a period of two years. What amount will he receive at the end of two years?\n\n### Options:\nA. 18,000\nB. 18,500\nC. 17,000\nD. 17,500\nE. None of these\n\n### Answer:\nAmount = 15000 (1 + 10\u2044100)2\n= 15000 \u00d7 11\u204410 \u00d7 11\u204410 = 18150\nAnswer E\nThe answer is: E<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nOut of 15 students in a class, 7 are from Maharashtra, 5 are from Karnataka, and 3 are from Goa. Four students are to be selected at random. What are the chances that at least one is from Karnataka?\n\n### Options:\nA. 12/13\nB. 11/13\nC. 10/15\nD. 1/15\nE. 4/14\n\n### Answer:\nTotal possible ways of selecting 4students out of 15 = 15C4 = (15*14*13*12)/(4*3*2*1) =1365\nThe number of ways of selecting a 4 students in which no student belongs to Karnataka = 10C4\nNumber of ways of selecting atleast one student from Karnataka = 15C4-10C4 = 1155\nProbability = 1155/1365 = 11/13\nAnswer is B\nThe answer is: B<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nIn the last set of tests, a student scored marks in each of 5 subjects in the ratio 4:5:6:7:8 and got an overall average score of 54%. If a mark of 50% in a subject is a pass and the maximum marks of each subject is the same, how many subjects did the student pass?\n\n### Options:\nA. 1\nB. 2\nC. 3\nD. 4\nE. 5\n\n### Answer:\nThe tests scores are 4k, 5k, 6k, 7k, and 8k.\nThe sum of the test scores is 30k.\nThe average test score is 30k/5 = 54. Then k = 9.\nThe test scores are 36, 45, 54, 63, and 72.\nThe student passed 3 subjects.\nThe answer is C.\nThe answer is: C<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nLarry and Daniel are partners in a business, they invested Rs. 50,000 and Rs. 39,000 respectively.If the business yielded a total profit of Rs. 21,000, what is Daniel's share?\n\n### Options:\nA. 9402.25\nB. 9272.25\nC. 9982.25\nD. 9211.25\nE. 9202.25\n\n### Answer:\nExplanation:\nRatio of their shares = 50,000 : 39,000 = 50 : 39.\nDaniel's share = Rs. (21000 * 39/89) = Rs. 9202.25.\nAnswer: E) 9202.25\nThe answer is: E<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nRs.385 were divided among X,Y,Z in such a way that X had Rs.20 more than Y and Z had Rs 15 more than X . How much was Y\u2019s share?\n\n### Options:\nA. Rs.110\nB. Rs.145\nC. Rs.150\nD. Rs.176\nE. Rs.181\n\n### Answer:\nLet Y gets Rs x. Then We can say X gets Rs (x + 20 ) and Y gets Rs ( x + 35) .\nx + 20 + x + x + 35 = 385\n3x = 330\nx = 110 .\nR\u2019s share = Rs ( 110 + 35 ) = Rs.145\nB\nThe answer is: B<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nIf a, b, and c are consecutive integers such that a < b < c and a is an even prime number, which of the following is true?\nI. a \u00d7 b \u00d7 c < a^3\nII. 5b > 5c\nIII.a + b + c > a^3\n\n### Options:\nA. I only\nB. II only\nC. III only\nD. II and III\nE. I, II, and III\n\n### Answer:\nOnly 'A' is possible solution. If a is even prime number i.e 2, b is 3 and c is 4\nPutting the values in the answers only 'A' seems valid.\nThe answer is: A<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nKurt, a French painter, has 9 jars of paint: 4 jars of yellow paint, 2 jars of red paint, and 3 jars of brown paint. Kurt pours the contents of 3 jars of paint into a new container to make a new color, which he will name according to the following conditions:\nThe paint will be namedBrun Yif it contains 2 jars of brown paint and no yellow.\nThe paint will be namedBrun Xif the paint contains 3 jars of brown paint.\nThe paint will be namedJaune Xif the paint contains at least 2 jars of yellow.\nThe paint will be namedJaune Yif the paint contains exactly 1 jar of yellow.\nWhat is the probability Q that the new color will be one of theJaunecolors?\n\n### Options:\nA. 5/42\nB. 37/42\nC. 1/21\nD. 4/9\nE. 5/9\n\n### Answer:\nI get B.\nJaune Y = (4 choose 1)*(5 choose 2) = 4*10 = 40\nJaune X = (4 choose 2)*(5 choose 1) + (4 choose 3) = 6*5 + 4 = 34\nTotal combinations = 9 choose 3 = 84\nProbability of Jaune Q= (40 + 34)/84 = 37/42\nThe answer is: B<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nA can do a piece of work in 6days of 9 hours each and B alone can do it in 12 days of 9 hours each.how long will they take it to do working together\n4 1/2 hours a day?\n\n### Options:\nA. 8 days\nB. 9 days\nC. 7 days\nD. 6 days\nE. 10 days\n\n### Answer:\nA's work per hour=1/54\nB's work per hour=1/108\nA & B's work per hour together=(1/54)+(1/108)=3/108=1/36\nso A & B together complete the work in 36 hours...\nif they work 4 1/2=9/2 hours a day,\nit will take (36)/(9/2) days=8 days...\nANSWER: A\nThe answer is: A<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nWhich of the following is the Highest Common Factor of 49, 63 and 77?\n\n### Options:\nA. 8\nB. 10\nC. 7\nD. 14\nE. 12\n\n### Answer:\nTHE HIGHEST COMMON FACTOR IS 7\rAns is :C\nThe answer is: C<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nIn a dairy farm, 20 cows eat 20 bags of husk in 20 days. In how many days one cow will eat one bag of husk?\n\n### Options:\nA. 1\nB. 40\nC. 20\nD. 26\nE. 30\n\n### Answer:\nExplanation :\nOne bag of husk = 20 cows per day\n\u21d2 20 \u00d7 1 \u00d7 20 = 1 \u00d7 20 \u00d7 x\nFor one cow = 20 days\nAnswer : C\nThe answer is: C<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nIn a survey of 340 employees, 104 of them are uninsured, 54 work part time, and 12.5 percent of employees who are uninsured work part time. If a person is to be randomly selected from those surveyed, what is the probability that the person will neither work part time nor be uninsured?\n\n### Options:\nA. 7/12\nB. 8/41\nC. 39/68\nD. 1/8\nE. 41/91\n\n### Answer:\n---------UI----------------NUI-------Total\nPT----(12.5/100)*104 = 13----------- --54\nNPT---104-13-------------- x--------286\nTotal--104----------------------------340\nwe have to find not part time and not uninsured . in other words not part time and insured = x/340 = (286-104+13)/340\n= 39/68\nAnswer is C.\nThe answer is: C<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\n1. X and Y invest Rs.21000 and Rs.17500 respectively in a business. At the end of the year, they make a profit of Rs.26400. What is the share of X in the profit?\n\n### Options:\nA. Rs.14400\nB. Rs.26400\nC. Rs.12000\nD. Rs.12500\nE. Rs.13000\n\n### Answer:\nExplanation:\nRatio of the investment\n=21000:17500=210:175=21000:17500=210:175 =42:35=6:5=42:35=6:5\nShare of X in the profit\n=26400\u00c3\u2014611=2400\u00c3\u20146=14400\nANSWER IS A\nThe answer is: A<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nA man started his journey from Lucknow to Kolkata, which is 200 km, at the speed of 40 kmph then he went to Banglore which is 300 km, at the speed of 20 kmph. Further he went to Ahmedabad which is 500 km, at the speed of 10 kmph. The average speed of the man is :\n\n### Options:\nA. 14(2/7) kmph\nB. 14(5/7) Kmph\nC. 15.6 kmph\nD. 16.1 kmph\nE. None\n\n### Answer:\nSolution: Average speed,\n= (Total distance /Total time)\n= [(200+300+500)/{(200/40)+(300/20)+(500/10)}]\n= 1000/70\n= 14(2/7) kmph.\nAnswer: Option A\nThe answer is: A<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nThe age of the two friends were in the ration of 6:5. If the sum of their ages is 55. Then after how many years their ratio will become 8:7?\n\n### Options:\nA. 11\nB. 7\nC. 10\nD. 12\nE. 13\n\n### Answer:\nsince given ratio is 6:5 of their ages.\n6x+5x=55(given)\n11x=55\nx=5. so present ages are: 6*5=30 and 5*5=25\nafter few yrs ratio becomes 8:5.\nso,their ages will become 8x and 7x respectively, ie. 40 and 35 respectively.\nnw difference of their current ages and further ages is clear from above... ie. 10 yrs.\nANSWER:C\nThe answer is: C<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nThe sum of a number and its reciprocal is one-eighth of 34. What is the product of the number and its square root?\n\n### Options:\nA. 8\nB. 27\nC. 32\nD. 42\nE. 52\n\n### Answer:\nLet the number be x. Then,\nx + 1/x = 34/8\n8x2 - 34x + 8 = 0\n4x2 - 17x + 4 = 0\n(4x - 1)(x - 4) = 0\nx = 4\nrequired number = 4 * \u221a4 = 4 * 2 = 8.\nANSWER:A\nThe answer is: A<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nA man can row 9 kmph in still water. When the river is running at 3.1 kmph, it takes him 1 hour to row to a place and black. What is the total distance traveled by the man?\n\n### Options:\nA. 2.21\nB. 2.48\nC. 9.24\nD. 7.29\nE. 7.94\n\n### Answer:\nM = 9\nS = 3.1\nDS = 12.1\nUS = 5.9\nx/12.1 + x/5.9 = 1\nx = 3.97\nD = 3.97 * 2 = 7.94\nAnswer: E\nThe answer is: E<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nA, B, C, D, E are the five electronic shops in the Naza market, which have 20, 30, 60, 80 and 50 T. V . sets with them respectively, then the average number of T. V. sets in each shop is\n\n### Options:\nA. 24\nB. 48\nC. 50\nD. 60\nE. None\n\n### Answer:\nAnswer\nAverage number of T. V. sets\n= ( 20 + 30 + 60 + 80 + 50 ) / 5\n= 48\nCorrect Option: B\nThe answer is: B<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nA train 260 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?\n\n### Options:\nA. 40\nB. 32\nC. 26\nD. 21\nE. 14\n\n### Answer:\nSpeed = 45 * 5/18 = 25/2 m/sec\nTotal distance covered = 260 + 140 = 400 m\nRequired time = 400 * 2/25 = 32 sec\nAnswer:B\nThe answer is: B<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nWhat is the sixth digit to the right of the decimal point, in the decimal expansion of (3/5)^6?\n\n### Options:\nA. 2\nB. 4\nC. 6\nD. 8\nE. 0\n\n### Answer:\nStep 1 Convert fraction to decimal with two decimal places 3/5 = 0.60 then convert to scientific number = 6*10^-1\nStep 2 Multiply 6^6 by 10^-6\nStep 3 6 has the sequence 6, 36, 216\nAnswer is C\nThe answer is: C<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nMichelle deposited a certain sum of money in a savings account on July 1st, 2007. She earns an 14% interest compounded semiannually. The sum of money in the account on December 31st, 2009 is approximately what percent of the initial deposit?\n\n### Options:\nA. 117%\nB. 120%\nC. 121%\nD. 138%\nE. 145%\n\n### Answer:\nSince Michelle earns 14% interest compounded semiannually, then she earns 7% interest every 6 months.\nNow, the simple interest earned in 5 periods (30 months = 5*6 months) would be 7%*5=35%. But, since the interest iscompoundedevery 6 months, then there would be interest earned on interest (very small amount) thus the actual interest earned would be a little bit more than 35%, only answer choice D fits.\nAnswer: D\nThe answer is: D<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nTwo people measure each other's height, the height of the taller person is H and the height of the other person is L. If the difference in their heights is equal to the average height, what is the Value of H/L\n\n### Options:\nA. 1/3.\nB. 3.\nC. 2.\nD. 1/2.\nE. 6.\n\n### Answer:\nDifference = Average\nH - L = (H + L)/2,\nSolving for H/L gives 3. A quick check, H be 18 and L be 6, 18 - 6 = (18 + 6)/2\nB\nThe answer is: B<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nA,B,C invested some money such that capital of C is half of B and capital of B is half of A. If they get a profit of Rs.7000 then profit share of B is\n\n### Options:\nA. Rs.3000\nB. Rs.2000\nC. Rs.2500\nD. Rs.3500\nE. Rs.3600\n\n### Answer:\nRatio of their capital ie c:b:a=1:2:4\nHence b's share of profit =2/(7) *7000=2000\nANSWER:B\nThe answer is: B<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nExpress a speed of 90 kmph in meters per second?\n\n### Options:\nA. 25mps\nB. 20 mps\nC. 35 mps\nD. 19 mps\nE. 21 mps\n\n### Answer:\n90 * 5/18 = 25 mps\nAnswer: A\nThe answer is: A<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nJohn weighs twice as much as Susan. Susan's weight is 60% of Sam's weight. Mark weighs 50% of Lynn's weight. Lynn weighs 180% of John's weight. Which of these 5 people weighs the least?\n\n### Options:\nA. John\nB. Susan\nC. Sam\nD. Mark\nE. Lynn\n\n### Answer:\nJohn weighs twice as much as Susan --> J=2S --> John cannot weigh the least;\nSusan's weight is 60% of Sam's weight --> S=0.6*Sam --> Sam cannot weigh the least;\nMark weighs 50% of Lynn's weight --> M=0.5*L --> Lynn cannot weigh the least;\nLynn weighs 180% of John's weight --> L=1.8*J --> John cannot weigh the least (we already know that);\nAs you can see the answer is either Susan (S) or Mark (M). To compare their weights we should express their weights in regards of the same person: M=0.5*L=0.5*(1.8*J)=0.9*J and from J=2S, S=0.5*J --> Susan weights the least: Susan's weight is 50% of that of John and Mark's weight is more than 50%of that of John.\nAnswer: B.\nThe answer is: B<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\na survey of n people in the town of badaville found that 50% of them prefer brand A.another survey of 100 people in the town of Chotaville found that 60% prefer brand A.In total 55% of all the people surveyed prefer brand A.What is the total number of people surveyed?\n\n### Options:\nA. 100\nB. 200\nC. 300\nD. 400\nE. 500\n\n### Answer:\n.5*n+.6*100=.55*(n+100)\nn=100\ntotal people surveyed=n+100\n=100+100\n=200\nANSWER:B\nThe answer is: B<|end_of_text|>",
+      "Below is a MCQ that you will need to answer. Write an answer that fully explains your reasoning.\n\n### Question:\nFind the average of the first 20 natural numbers?\n\n### Options:\nA. 18.5\nB. 10.0\nC. 10.4\nD. 10.5\nE. 10.2\n\n### Answer:\nAverage of the first 'n' natural numbers = (n + 1)/2\nWe get (20 + 1)/2 = 10.5.Answer: D\nThe answer is: D<|end_of_text|>"
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