text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
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<|im_start|>user
A rectangular field 30 m long and 20 m broad. How much deep it should be dug so that from the earth taken out, a platform can be formed which is 8 m long, 5.5 m broad and 1.5 m high where as the earth taken out is increase by 10/5?
Answer Choices: (A) 12 cm (B) 10 cm (C) 18 cm (D) 24 cm (E) 26 cm<|im_e... | 80,605 |
<|im_start|>user
If four coins are tossed, the probability of getting two heads and two tails is ?
Answer Choices: (A) 3/8 (B) 3/6 (C) 3/1 (D) 3/2 (E) 3/4<|im_end|>
<|im_start|>assistant
<think>
</think>
Since four coins are tossed, sample space = 24
Getting two heads and two tails can happen in six ways.
n(E) = six ... | 94,394 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Figures of speech are words or phrases that use language in a nonliteral or unusual way. They can make writing more expressive.
Anaphora is the repetition of the same word or words at the beginning of several phrases or clau... | 1,776 |
<|im_start|>user
In a certain experiment, the data collected is the number of organisms per sample, and this data follows a normal distribution. If the sample of data has a mean of 80 and a standard deviation of 14, which of the following is exactly 2.60 standard deviations more than the mean?
Answer Choices: (A) a) 4... | 68,179 |
<|im_start|>user
Six children — A, B, C, D, E, and F — are going to sit in six chairs in a row. Child E must be somewhere to the left of child F. How many possible configurations are there for the children?
Answer Choices: (A) 60 (B) 180 (C) 240 (D) 360 (E) 720<|im_end|>
<|im_start|>assistant
<think>
</think>
F is in... | 32,387 |
<|im_start|>user
There are 6 red shoes & 4 green shoes . If two of red shoes are drawn what is the probability of getting red shoes
Answer Choices: (A) 1/3 (B) 1/4 (C) 1/2 (D) 1/5 (E) 1/6<|im_end|>
<|im_start|>assistant
<think>
</think>
taking 2 red shoe the probablity is 6C2
from 10 shoes probablity of taking 2 red ... | 48,232 |
<|im_start|>user
A candidate who gets 30% of the marks fails by 60 marks. But another candidate who gets 45% marks gets 30 marks more than necessary for passing. Find the number of marks for passing?
Answer Choices: (A) 100 Marks (B) 240 Marks (C) 280 Marks (D) 371 Marks (E) 827 Marks<|im_end|>
<|im_start|>assistant
<t... | 34,902 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Question:
Which change best matches the sentence?
The ground in an area shakes and trembles.
Answer Choices: (A) earthquake (B) flood (C) erosion<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is A<|endoftex... | 4,041 |
<|im_start|>user
Susan weighs 12 pounds more than Anna does, and together they weigh a total of 162 pounds. Which of the following represents Anna’s weight in pounds?
Answer Choices: (A) 70 (B) 75 (C) 65 (D) 68 (E) 72<|im_end|>
<|im_start|>assistant
<think>
</think>
Total weight = 162
Anna's weight = 162-12 /2 = 75
T... | 62,110 |
<|im_start|>user
A pump can fill a tank with water in 2 hours. Because of a leak, it took 2 1/3 hours to fill the tank. The leak can drain all the water of the tank in?
Answer Choices: (A) 19 (B) 88 (C) 77 (D) 14 (E) 17<|im_end|>
<|im_start|>assistant
<think>
</think>
Work done by the tank in 1 hour = (1/2 - 1/3) = 1... | 24,859 |
<|im_start|>user
Half of 1 percent written as decimal is
Answer Choices: (A) 5 (B) 0.5 (C) 0.05 (D) 0.005 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
It will be 1/2(1%) = 1/2(1/100) = 1/200 = 0.005
Option D
The answer is D<|endoftext|> | 19,821 |
<|im_start|>user
Fossils themselves and the order in which they appear in are generally collectively called what?
Answer choice: (A) fossil magnitude (B) fossil record (C) coal record (D) fuel cycle<|im_end|>
<|im_start|>assistant
<think>
</think>
There are many layers of rock in the Earth's surface. Newer layers for... | 6,044 |
<|im_start|>user
if 50% of (x-y) = 20% of (x+y) then what percent of x is y?
Answer Choices: (A) 2.5% (B) 10% (C) 5% (D) 15% (E) 43%<|im_end|>
<|im_start|>assistant
<think>
</think>
50% of (x-y)=20% of(x+y)
(50/100)(x-y)=(20/100)(x+y)
5(x-y)=2(x+y)
3x=7y
x=7/3y
therefore required percentage
=((y/x) X 100)% = ((y/(7/3... | 19,563 |
<|im_start|>user
Find the value for m?
19(m + n) + 17 = 19(-m + n) - 97
Answer Choices: (A) -3 (B) -1 (C) 1 (D) 2 (E) 3<|im_end|>
<|im_start|>assistant
<think>
</think>
19m + 19n + 17 = -19m + 19n - 97
38m= -114 => m = -3
A
The answer is A<|endoftext|> | 91,620 |
<|im_start|>user
Two men A and B start from place X walking at 4 ½ kmph and 5 ¾ kmph respectively. How many km apart they are at the end of 4 ½ hours if they are walking in the same direction?
Answer Choices: (A) 7 km (B) 6 km (C) 5 5/8 km (D) 9 km (E) 5 km<|im_end|>
<|im_start|>assistant
<think>
</think>
RS = 5 ¾ - ... | 46,620 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Words change in meaning when speakers begin using them in new ways. For example, the word peruse once only meant to examine in detail, but it's now also commonly used to mean to look through in a casual manner.
When a word c... | 1,696 |
<|im_start|>user
If Sharon's weekly salary increased by 15 percent, she would earn $575per week. If instead, her weekly salary were to decreased by 12 percent, how much would she earn per week?
Answer Choices: (A) Rs.540 (B) Rs.580 (C) Rs.560 (D) Rs.620 (E) Rs.650<|im_end|>
<|im_start|>assistant
<think>
</think>
Soln... | 59,374 |
<|im_start|>user
If the areas of the three adjacent faces of a cuboidal box are 120 cm², 72 cm² and 60 cm² respectively, then find the volume of the box.
Answer Choices: (A) 120 m³ (B) 400 m³ (C) 660 m³ (D) 720 cm m³ (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Sol.
Let the length, breadth and height of ... | 22,188 |
<|im_start|>user
A wire in the form of a circle of radius 3.5 m is bent in the form of a rectangule, whose length and breadth are in the ratio of 6 : 5. What is the area of the rectangle?
Answer Choices: (A) 65 cm2 (B) 30 cm2 (C) 16 cm2 (D) 17 cm2 (E) 15 cm2<|im_end|>
<|im_start|>assistant
<think>
</think>
The circum... | 3,743 |
<|im_start|>user
There are two sets A and B. The range of set A is 7, and the range of set B is 13. If the two sets are combined and get a new set W, which cannot be the range of the set W?
Answer Choices: (A) 8 (B) B.11 (C) C.14 (D) D.17 (E) E.21<|im_end|>
<|im_start|>assistant
<think>
</think>
Let Set A has 1,8 as ... | 9,261 |
<|im_start|>user
?% of 360 = 115.2
Answer Choices: (A) 277 (B) 36 (C) 64 (D) 32 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
?% of 360 = 115.2
or, ? = 115.2×100/360=32
The answer is D<|endoftext|> | 67,138 |
<|im_start|>user
A tank is filled by three pipes with uniform flow. The first two pipes operating simultaneously fill the tank in the same time during which the tank is filled by the third pipe alone. The second pipe fills the tank 5 hours faster than the first pipe and 4 hours slower than the third pipe. Time required... | 5,995 |
<|im_start|>user
Ada's income is 60 percent more than Adelaide's income, and Adelaide's income is 50 percent less than Bella's income. What percent of Bella's income is Ada's income?
Answer Choices: (A) 86% (B) 30% (C) 50% (D) 90% (E) 80%<|im_end|>
<|im_start|>assistant
<think>
</think>
Bella's income = 100 (assume);... | 76,674 |
<|im_start|>user
An bus covers a certain distance at a speed of 240 kmph in 5 hours. To cover the samedistance in 1hr, it must travel at a speed of?
Answer Choices: (A) 677 km/hr (B) 720 km/hr (C) 790 km/hr (D) 800 km/hr (E) 820 km/hr<|im_end|>
<|im_start|>assistant
<think>
</think>
Distance = (240 x 5) = 1200 km.
Sp... | 54,989 |
<|im_start|>user
A machine is any device that makes work easier by doing what?
Answer choice: (A) changing a force (B) moving things (C) changing molecules (D) removing barriers<|im_end|>
<|im_start|>assistant
<think>
</think>
A machine is any device that makes work easier by changing a force. When you use a machine,... | 3,240 |
<|im_start|>user
A thief goes away with a SANTRO car at a speed of 40 kmph. The theft has been discovered after half an hour and the owner sets off in a bike at 50 kmph when will the owner over take the thief from the start?
Answer Choices: (A) 22 hours (B) 21 hours (C) 23 hours (D) 20 hours (E) 28 hours<|im_end|>
<|im... | 88,004 |
<|im_start|>user
If the perimeter of a rectangular garden is 600 m, its length when its breadth is 100 m is?
Answer Choices: (A) 299 m (B) 777 m (C) 200 m (D) 167 m (E) 128 m<|im_end|>
<|im_start|>assistant
<think>
</think>
2(l + 100) = 600 => l
= 200 m
The answer is C<|endoftext|> | 16,241 |
<|im_start|>user
When p is divided by 9, the remainder is 7. All of the following are possible values of p, except for which of the following?
Answer Choices: (A) 16 (B) 34 (C) 52 (D) 60 (E) 70<|im_end|>
<|im_start|>assistant
<think>
</think>
Four of these numbers can be expressed in the form of 9x+7, where x can be ... | 81,883 |
<|im_start|>user
In how many ways can 4 indistinguishable red balls and 2 different blue balls be arranged in a line?
Answer Choices: (A) 6! (B) 30 (C) 40 (D) 6!/2! (E) 4!/2!<|im_end|>
<|im_start|>assistant
<think>
</think>
The total number of ways in which a total N items, out of which p are identical of one type, q... | 26,319 |
<|im_start|>user
Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 45kmph. For how many minutes does the bus stop per hour?
Answer Choices: (A) 12 (B) 11 (C) 10 (D) 9 (E) 8<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Speed of the bus excluding stoppages =54 kmph
Speed... | 34,384 |
<|im_start|>user
A set of 11 positive integers has an average of 30. Which of the following is the greatest possible value for the median of this set?
Answer Choices: (A) 25 (B) 30 (C) 36 (D) 54 (E) 46<|im_end|>
<|im_start|>assistant
<think>
</think>
for the median to be max , we should take all the values below mead... | 33,535 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
A letter starts with a greeting and ends with a closing. For each one, capitalize the first word and end with a comma. You should also capitalize proper nouns, such as Aunt Sue.
Dear Aunt Sue,
I'm glad you could come to my p... | 1,677 |
<|im_start|>user
In a certain animal population, for each of the first 3 months of life, the probability that an animal will die during that month is 1/4. For a group of 200 newborn members of the population, approximately how many would be expected to survive the first 3 months of life?
Answer Choices: (A) 40 (B) 46 (... | 20,758 |
<|im_start|>user
An amount of Rs. 100000 is invested in two types of shares. The first yields an interest of 9% p.a and the second, 11% p.a. If the total interest at the end of one year is 9 3/5 %, then the amount invested at 11% was?
Answer Choices: (A) 23777 (B) 30000 (C) 29977 (D) 26777 (E) 19871<|im_end|>
<|im_star... | 72,284 |
<|im_start|>user
How many odd numbers are possible between 1 to 1000000? find out the number of odd number of digits?
Answer Choices: (A) 2999 (B) 3500 (C) 4000 (D) 4599 (E) 499999<|im_end|>
<|im_start|>assistant
<think>
</think>
There are always one odd and one even no. And the question is odd no. Between 1 to 10000... | 85,351 |
<|im_start|>user
Set A contains all the even numbers between 8 and 50 inclusive. Set B contains all the even numbers between 108 and 150 inclusive. What is the difference between the sum of elements of set B and the sum of the elements of set A?
Answer Choices: (A) 2200 (B) 2550 (C) 5050 (D) 6275 (E) 11325<|im_end|>
<|... | 42,628 |
<|im_start|>user
A man covers a distance on scooter. Had he moved 3kmph faster he would have taken 40 min less. If he had moved 2kmph slower, he would have taken 40min more. The distance is.
Answer Choices: (A) 30 km (B) 40 km (C) 45 km (D) 50 km (E) 55 km<|im_end|>
<|im_start|>assistant
<think>
</think>
Let distance... | 156 |
<|im_start|>user
The term science comes from a latin word that means?
Answer choice: (A) were knowledge (B) having information (C) only knowledge (D) having knowledge<|im_end|>
<|im_start|>assistant
<think>
</think>
Understanding the "hows" and "whys" of the world is the goal of science. The term science comes from a... | 1,939 |
<|im_start|>user
If $5,000 is invested in an account at a simple annual rate of r percent, the interest is $250. When $19,000 is invested at the same interest rate, what is the interest from the investment?
Answer Choices: (A) $700 (B) $750 (C) $800 (D) $950 (E) $900<|im_end|>
<|im_start|>assistant
<think>
</think>
-... | 75,237 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Measurements are written with both a number and a unit. The unit comes after the number. The unit shows what the number means.
Imagine being told that a pencil is 8 long. You might be thinking, 8 what? Is the pencil 8 inches... | 2,986 |
<|im_start|>user
Warming conditions and, perhaps, human activities contributed to what fate of many organisms of the pleistocene era?
Answer choice: (A) overpopulation (B) accumulation (C) extinction (D) evolution<|im_end|>
<|im_start|>assistant
<think>
</think>
Many of the organisms that made up the Pleistocene mega... | 7,398 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Reptiles have scaly, waterproof skin. Most reptiles live on land.
Question:
Select the reptile.
Answer Choices: (A) Japanese tree frog (B) fruit bat (C) eagle ray (D) salt water crocodile<|im_end|>
<|im_start|>assistant
<th... | 407 |
<|im_start|>user
A father said to his son, "I was as old as you are at the present at the time of your birth". If the father's age is 50 years now, the son's age 10 years back was:
Answer Choices: (A) 14 years (B) 19 years (C) 33 years (D) 15 years (E) 39years<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the ... | 92,397 |
<|im_start|>user
Find all integers x NOT EQUAL TO 3 such that X-3|X^3-3
Answer Choices: (A) 1,2,3,4,5 (B) -21,-9,-5,-3,-1,0,1,2,4,5,6,7,9,11,15,27 (C) 1 (D) 6 (E) -1,0,1<|im_end|>
<|im_start|>assistant
<think>
</think>
Let x-3=t. Thus, t is an integer not equal to such'that t|(t+3)^2-3,
which is equivalent to the con... | 74,209 |
<|im_start|>user
Two vessels A and B contain 62.5% and 87.5% of alcohol respectively. If 2 litres from vessel A is mixed with 4 litres from vessel B , the ratio of alcohol and water in the resulting mixture is?
Answer Choices: (A) 19:5 (B) 17:2 (C) 27:2 (D) 21:5 (E) 11:1<|im_end|>
<|im_start|>assistant
<think>
</think... | 87,246 |
<|im_start|>user
The denominator of a fraction is 1 less than twice the numerator. If the numerator and denominator are both increased by 1, the fraction becomes 3/5. Find the fraction?
Answer Choices: (A) 5/7 (B) 5/1 (C) 5/9. (D) 5/2 (E) 5/8<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the numerator and deno... | 2,175 |
<|im_start|>user
Find the area of circle whose radius is 5m?
Answer Choices: (A) 113.1 (B) 154 (C) 288 (D) 280 (E) 371<|im_end|>
<|im_start|>assistant
<think>
</think>
22/7 * 5 * 5
= 113.1
The answer is A<|endoftext|> | 70,553 |
<|im_start|>user
A student has to obtain 33% of the total marks to pass. He got 175 marks and failed by 56 marks. The maximum marks are?
Answer Choices: (A) 450 (B) 300 (C) 500 (D) 610 (E) 700<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the maximum marks be x
Then, 33% of x = 175+56
33x/100 = 231
x = 700
The... | 12,879 |
<|im_start|>user
A’s speed is 32/27 times that of B. If A and B run a race, what part of the length of the race should A give B as a head start, so that the race ends in a dead heat?
Answer Choices: (A) 5/32 (B) 5/27 (C) 1/27 (D) 1/32 (E) 27/32<|im_end|>
<|im_start|>assistant
<think>
</think>
We have the ratio of A’s... | 52,035 |
<|im_start|>user
I bought two books; for Rs.480. I sold one at a loss of 15% and other at a loss of 25% and then I found each book was sold at the same price. Find the cost of the book sold at a lower loss?
Answer Choices: (A) A) 657 (B) B) 280 (C) C) 225 (D) D) 289 (E) E) 427<|im_end|>
<|im_start|>assistant
<think>
<... | 93,267 |
<|im_start|>user
If a and y are different prime numbers less than ten, what must be true about the sum of a and y?
Answer Choices: (A) the sum is even (B) the sum is odd (C) the sum is less than ten (D) the sum is greater than ten (E) the sum is less than 13<|im_end|>
<|im_start|>assistant
<think>
</think>
This has t... | 52,996 |
<|im_start|>user
On Sunday morning, Pugsley and Wednesday are trading pet spiders. If Pugsley were to give Wednesday two of his spiders, Wednesday would then have three times as many spiders as Pugsley does. But, if Wednesday were to give Pugsley one of her spiders, Pugsley would now have two fewer spiders than Wednesd... | 3,727 |
<|im_start|>user
Teas worth Rs. 126 per kg and Rs. 135 per kg are mixed with a third variety in the ratio 1 : 1 : 2. If the mixture is worth Rs 156 per Kg , the price of the third variety per Kg will be?
Answer Choices: (A) Rs. 147.50 (B) Rs. 785.50 (C) Rs. 178.50 (D) Rs. 258.50 (E) None of these<|im_end|>
<|im_start|>... | 93,304 |
<|im_start|>user
The average age of a class is 15.8 years. The average age of the boys in the class is 16.4 years and that of the girls is 15.4 years. What is the ratio of boys to girls in the class?
Answer Choices: (A) 1 : 2 (B) 3 : 4 (C) 2 : 3 (D) 3:2 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think... | 81,176 |
<|im_start|>user
Fox jeans regularly sell for $15 a pair and Pony jeans regularly sell for $18 a pair. During a sale these regular unit prices are discounted at different rates so that a total of $5 is saved by purchasing 5 pairs of jeans: 3 pairs of Fox jeans and 2 pairs of Pony jeans. If the sum of the two discounts ... | 6,090 |
<|im_start|>user
The distance between two towns is 380 km. At the same moment, a passenger car and a truck start moving towards each other from different towns. They meet 4 hours later. If the car drives 5 km/hr faster than the truck, what is the speed of the car?
Answer Choices: (A) 30km/h (B) 40km/h (C) 50km/h (D) 60... | 20,671 |
<|im_start|>user
The activation of what kind of buds induces branching?
Answer choice: (A) lymphatic buds (B) axillary buds (C) leafy buds (D) arterial buds<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is B<|endoftext|> | 89 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Organisms, including people, have both inherited and acquired traits. Inherited and acquired traits are gained in different ways.
Inherited traits are passed down through families. Children gain these traits from their paren... | 2,635 |
<|im_start|>user
A box contains 4 yellow balls and 5 black balls. One by one, every ball is selected at random without replacement. What is the probability that the fourth ball selected is black?
Answer Choices: (A) 2/5 (B) 3/7 (C) 5/9 (D) 2/3 (E) 3/4<|im_end|>
<|im_start|>assistant
<think>
</think>
Each ball has an ... | 12,988 |
<|im_start|>user
When Greenville State University decided to move its fine arts collection to a new library, it had to package the collection in 20-inch by 20-inch by 12-inch boxes. If the university pays $0.40 for every box, and if the university needs 2.16 million cubic inches to package the collection, what is the m... | 39,087 |
<|im_start|>user
Find the sum The difference between the compound and S.I. on a certain sum of money for 2 years at 10% per annum is Rs.15of money?
Answer Choices: (A) 1500 (B) 1992 (C) 9921 (D) 2798 (E) 2789<|im_end|>
<|im_start|>assistant
<think>
</think>
P = 15(100/10)2
=> P = 1500
The answer is A<|endoftext|> | 93,131 |
<|im_start|>user
There are 6561 balls out of them 1 is heavy.Find the min. no. of times the balls have to be
weighed for finding out the haevy ball.
Answer Choices: (A) 7 (B) 8 (C) 9 (D) 10 (E) 11<|im_end|>
<|im_start|>assistant
<think>
</think>
1))6561/3=2187->2187,2187,2187
2)2187/3=729->729,729,729
3)729/3=243->24... | 56,215 |
<|im_start|>user
Based on this year's costs, a factory budgets P dollars for planing N new cars next year. If the average cost of building each car were to increase 50% from this year's cost, then the greatest number of cars that the factory could build next year using P dollars would be:
Answer Choices: (A) 33% less t... | 69,574 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Plants and animals are living things. Living things are called organisms.
Plants come in many shapes and sizes. Most plants grow in the ground. They might grow leaves, flowers, and fruit. Plants cannot move around on their o... | 2,961 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Words change in meaning when speakers begin using them in new ways. For example, the word peruse once only meant to examine in detail, but it's now also commonly used to mean to look through in a casual manner.
When a word c... | 4,287 |
<|im_start|>user
33 men can complete a piece of work in 18 days. In how many days will 27 men complete the same work ?
Answer Choices: (A) 22 (B) 77 (C) 36 (D) 25 (E) 13<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Less Men, means more Days {Indirect Proportion}
Let the number of days be x
then,
27 :... | 90,591 |
<|im_start|>user
A box contains SEVEN bulbs out of which 3 are defective. If THREE bulbs are chosen at random, find the probability that atleast one bulb is good?
Answer Choices: (A) 32/33 (B) 35/36 (C) 37/39 (D) 34/39 (E) 34/35<|im_end|>
<|im_start|>assistant
<think>
</think>
Required probability
= 1- 3C3/7C3
= 1 - ... | 26,011 |
<|im_start|>user
Tough and Tricky questions: Exponents.
If a and b are positive integers and x = 4^a and y = 3^b, which of the following is a possible units digit of xy?
Answer Choices: (A) 1 (B) 8 (C) 5 (D) 7 (E) 9<|im_end|>
<|im_start|>assistant
<think>
</think>
Only Units digit of X and Y contribute to the Units d... | 11,311 |
<|im_start|>user
Four packages have an average weight of 12.5 pounds. What is the minimum possible weight of the heaviest package in pounds if the median is 12 pounds?
Answer Choices: (A) 12 (B) 13 (C) 14 (D) 15 (E) 16<|im_end|>
<|im_start|>assistant
<think>
</think>
Let us denote the weights of the packages in pound... | 13,522 |
<|im_start|>user
There are 35 students in a hostel. If the no. of students increases by 7, the expenses of the mess increase by Rs.42/day while the average expenditure per head diminishes by Rs1. Find the original expenditure of the mess?
Answer Choices: (A) 38 (B) 40 (C) 42 (D) 45 (E) 80<|im_end|>
<|im_start|>assistan... | 61,553 |
<|im_start|>user
A train is 360 meter long is running at a speed of 45 km/hour. In what time will it pass a bridge of 140 meter length?
Answer Choices: (A) 39 (B) 27 (C) 40 (D) 88 (E) 21<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = 45 Km/hr = 45*(5/18) m/sec = 25/2 m/sec
Total distance = 360+140 = 500 met... | 33,012 |
<|im_start|>user
A boat goes 100 km downstream in 10 hours, and 75 m upstream in 15 hours. The speed of the stream is?
Answer Choices: (A) 22 1/9 (B) 22 1/7 (C) 22 1/1 (D) 22 1/2 (E) 32 1/2<|im_end|>
<|im_start|>assistant
<think>
</think>
100 --- 10 DS = 10
? ---- 1
75 ---- 15 US = 5
? ----- 1 S = (10 - 5)/2
= 22 1/2... | 85,087 |
<|im_start|>user
A rectangular parking space is marked out by painting three of its sides.If the length of the unpainted side is 9 feet, and the sum of the lengths of the painted sides is 37 feet, then what is the area of the parking space in square feet?
Answer Choices: (A) 126sq.ft (B) 120sq.ft (C) 130sq.ft (D) 135sq... | 71,975 |
<|im_start|>user
Which part of the axon has a higher membrane potential?
Answer choice: (A) muscular hillock (B) biofilm hillock (C) canals hillock (D) axon hillock<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is D<|endoftext|> | 1,624 |
<|im_start|>user
Forks, Spoons, and Knives in drawer are in the ratio of 4: 4 : 3. If there are 16 Forks, the number of Knives in the drawer is:
Answer Choices: (A) 8 (B) 4 (C) 12 (D) 16 (E) 14<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
Let Forks = 4x, Spoons = 4x & Knives = 3x. Now, 4x = 16 hence... | 32,045 |
<|im_start|>user
Three interviewers, A, B, and C are interviewing 30 applicants. Only with three interviewers' admission can an applicant be admitted. If interviewer A admitted 10 applicants, B admitted 12 applicants, and C admitted 15 applicants, at least how many applicants get the admission?
Answer Choices: (A) 6 (... | 36,442 |
<|im_start|>user
A boat having a length 3 m and breadth 2 m is floating on a lake. The boat sinks by 1 cm when a man gets on it. The mass of man is :
Answer Choices: (A) 12 kg (B) 60 kg (C) 72 kg (D) 96 kg (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution
Volume of water displaced = (3 × 2 ×... | 59,281 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
When writing research papers, you will often be asked to follow a particular style guide for your citations. One popular style guide is the Modern Language Association (MLA) Handbook.
Below are the basic formats for some com... | 1,991 |
<|im_start|>user
A certain sum of money is divided among A, B and C so that for each Rs. A has, B has 65 paisa and C 40 paisa. If C's share is Rs.40, find the sum of money?
Answer Choices: (A) 288 (B) 262 (C) 72 (D) 205 (E) 267<|im_end|>
<|im_start|>assistant
<think>
</think>
A:B:C = 100:65:40
= 20:13:8
8 ---- 40
41 ... | 95,924 |
<|im_start|>user
If a sequence of 8 consecutive odd integers with increasing values has 9 as its 7th term, what is the sum of the terms of the sequence?
Answer Choices: (A) 22 (B) 32 (C) 36 (D) 40 (E) 44<|im_end|>
<|im_start|>assistant
<think>
</think>
Seventh term, a7 = 9
Number of terms,n = 8
an= a1 + (n-1)d
a7= a1... | 57,032 |
<|im_start|>user
Today my car meter reads as 72227 kms. I notes that this is a palindrome. How many minimum kms i need to travel so my car meter find another palindrom.
Answer Choices: (A) 700 kms (B) 625 kms (C) 600 kms (D) 210 kms (E) 120 kms<|im_end|>
<|im_start|>assistant
<think>
</think>
A
700 kms
72227 +700 = 7... | 80,439 |
<|im_start|>user
3 years ago, the avg age of a family of 5 individuals was 17. A kid have been born the avg age of family is an exact today? What is the age of the kid?
Answer Choices: (A) 2 years (B) 5 years (C) 6 years (D) 4 years (E) 7 years<|im_end|>
<|im_start|>assistant
<think>
</think>
A
2 years
Current age of... | 34,193 |
<|im_start|>user
Look at this series: 2, 4, 6, 8, 10, ... What number should come next?
Answer Choices: (A) 10 (B) 11 (C) 16 (D) 13 (E) 12<|im_end|>
<|im_start|>assistant
<think>
</think>
E
12
This is a simple addition series. Each number increases by 2.
The answer is E<|endoftext|> | 69,915 |
<|im_start|>user
The denominator of a fraction is 7 greater than the numerator. If the numerator and the denominator are increased by 4, the resulting fraction is equal to 5â„6. What is the value of the original fraction?
Answer Choices: (A) 23/30 (B) 25/32 (C) 31/38 (D) 37/44 (E) 47/54<|im_end|>
<|im_start|>assistant... | 24,814 |
<|im_start|>user
A is thrice as efficient as B and is, therefore, able to finish a piece of work 10 days earlier than B. In how many days A and B will finish it together?
Answer Choices: (A) 3 1/2 days (B) 3 4/5 days (C) 3 days (D) 5 days (E) 6 days<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
WC = 3... | 77,530 |
<|im_start|>user
If 2^z is a factor of 23!, which of the following could be the value of z?
I. 22
II. 23
III. 24
Answer Choices: (A) I only (B) II only (C) I and II (D) I, II, and III (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
23! contains all numbers from 1 to 23. To find the factor with the highest... | 56,052 |
<|im_start|>user
If a particular is never chosen, in how many ways can a cricketbe chosen out of 15 players?
Answer Choices: (A) 245 (B) 250 (C) 364 (D) 389 (E) 398<|im_end|>
<|im_start|>assistant
<think>
</think>
A particular players is never chosen, it means that 11 players are selected out of 14 players.
=> Requir... | 34,958 |
<|im_start|>user
Ravi can do a piece of work in 11 days while Prakash can do it in 22 days. In how many days will they finish it together?
Answer Choices: (A) 5 7/3 days (B) 7 1/3days (C) 5 1/9 days (D) 5 7/3 days (E) 4 7/9 days<|im_end|>
<|im_start|>assistant
<think>
</think>
1/11 + 1/22 = 3/22
22/3 = 7 1/3 days
The... | 31,835 |
<|im_start|>user
Find the largest 7 digit number which is exactly divisible by 88?
Answer Choices: (A) 9998765 (B) 9998907 (C) 9999944 (D) 9999954 (E) 9999968<|im_end|>
<|im_start|>assistant
<think>
</think>
Largest 7 digit number is 9999999
After doing 9999999 ÷ 88 we get remainder 31
Hence largest 7 digit number ex... | 77,403 |
<|im_start|>user
A, B, C rent a pasture. A puts 10 oxen for 7 months, B puts 12 oxen for 5 months and C puts 15 oxen for 3 months for grazing. If the rent of the pasture is Rs. 175, how much must C pay as his share of rent?
Answer Choices: (A) Rs. 45 (B) Rs. 50 (C) Rs. 55 (D) Rs. 60 (E) None<|im_end|>
<|im_start|>assis... | 63,832 |
<|im_start|>user
x and y are positive integers. If xy + x is odd, then which of the following must be even?
.
Answer Choices: (A) x (B) y (C) x + y (D) xy − x (E) x^2 − y<|im_end|>
<|im_start|>assistant
<think>
</think>
Two possibilities:
(1) even + odd = odd
(2) odd + even= odd
In this case, x can not be even as it ... | 58,148 |
<|im_start|>user
Tough and Tricky questions: Combinations.
Five contestants representing four different countries advance to the finals of a fencing championship. Assuming all competitors have an equal chance of winning, how many possibilities are there with respect to how a first-place and second-place medal can be aw... | 22,575 |
<|im_start|>user
If a fair die is rolled four time, what is the probability that a 3 occurs on at least one roll?
Answer Choices: (A) 25/36 (B) 125/216 (C) 91/216 (D) 11/36 (E) 248/479<|im_end|>
<|im_start|>assistant
<think>
</think>
Questions such as these that talk about at least or maximum or minimum in probabilit... | 18,556 |
<|im_start|>user
A trader bought a car at 5% discount on its original price. He sold it at a 60% increase on the price he bought it. What percent of profit did he make on the original price?
Answer Choices: (A) 17% (B) 62% (C) 52% (D) 19% (E) 22%<|im_end|>
<|im_start|>assistant
<think>
</think>
Original price = 100
C... | 80,807 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Guide words appear on each page of a dictionary. They tell you the first word and last word on the page. The other words on the page come between the guide words in alphabetical order.
To put words in alphabetical order, put... | 3,433 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
All organisms have pieces of hereditary material called genes, which are passed from parents to offspring. Genes contain instructions for building the parts of an organism. An organism's genes affect its observable traits, i... | 5,333 |
<|im_start|>user
A car drove from Town A to Town B without stopping. The car traveled the first 50 miles of its journey at an average speed of 25 miles per hour. What was the car’s average speed, in miles per hour, for the remaining 110 miles if the car’s average speed for the entire trip was 40 miles per hour?
Answer ... | 5,165 |
<|im_start|>user
The price of 2 sarees and 4 shirts is Rs. 1600. With the same money one can buy 1 saree and 6 shirts. If one wants to buy 12 shirts, how much shall he hThe price of 2 sarees and 4 shirts is Rs. 1600. With the same money one can buy 1 saree and 6 shirts. If one wants to buy 12 shirts, how much shall he ... | 51,957 |
<|im_start|>user
A shipment of 1500 heads of cabbage, each of which was approximately the same size, was purchased for $600. The day the shipment arrived 1/3 of the heads were sold, each at 25% above the cost per head. The following day the rest were sold at a price equal to 5% less than the price each head sold for on... | 63,678 |
<|im_start|>user
What is energy that travels in the form of an electromagnetic wave?
Answer choice: (A) light (B) sound (C) microwave (D) gravity<|im_end|>
<|im_start|>assistant
<think>
</think>
Light is one type of electromagnetic radiation . Light is energy that travels in the form of an electromagnetic wave. Pictu... | 3,268 |
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