text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
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<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Experiments can be designed to answer specific questions. When designing an experiment, you must identify the supplies that are necessary to answer your question. In order to do this, you need to figure out what will be test... | 4,448 |
<|im_start|>user
The adult cells that form the butterfly begin growing in what developmental stage?
Answer choice: (A) embryo (B) caterpillar (C) pupa (D) mitochondria<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is A<|endoftext|> | 8,590 |
<|im_start|>user
The compound interest accrued on an amount of Rs.44000 at the end of two years is Rs.1193.60. What would be the simple interest accrued on the same amount at the same rate in the same period?
Answer Choices: (A) Rs.10,840 (B) Rs.10,720 (C) Rs.10,560 (D) Rs.10,280 (E) None of these.<|im_end|>
<|im_start... | 73,656 |
<|im_start|>user
Mr. James sold two pipes at $1.20 each. Based on the cost, his profit one was 20% and his loss on the other was 20%. On the sale of the pipes, he:
Answer Choices: (A) broke even (B) lost 4 cents (C) gained 4 cents (D) lost 10 cents (E) gained 10 cents<|im_end|>
<|im_start|>assistant
<think>
</think>
... | 86,231 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Chemical changes and physical changes are two common ways matter can change.
In a chemical change, the type of matter changes. The types of matter before and after a chemical change are always different.
Some chemical change... | 5,734 |
<|im_start|>user
A person covered one-fourth of the total distance at 26 kmph and remaining distance at 24 kmph. What is the average speed for the total distance?
Answer Choices: (A) 27 (1/3) kmph (B) 21 (1/3) kmph (C) 21 (1/7) kmph (D) 26 (1/3) kmph (E) 31 (1/3) kmph<|im_end|>
<|im_start|>assistant
<think>
</think>
... | 85,226 |
<|im_start|>user
24 oz of juice P and 25 oz of juice V are mixed to make smothies R and Y . The ratio of p to V in smothie R is 4 is to 1 and that in Y is 1is to 5.How many ounces of juice P are contained in the smothie R?
Answer Choices: (A) 5 (B) 10 (C) 15 (D) 20 (E) 25<|im_end|>
<|im_start|>assistant
<think>
</thin... | 26,763 |
<|im_start|>user
If f(a)=a^2, what is the value of (f(a-b)−f(a))/b ?
Answer Choices: (A) a (B) b (C) 2a (D) -2a + b (E) 2b - a<|im_end|>
<|im_start|>assistant
<think>
</think>
start with f(a+b) before start calculations: f(a-b)=(a-b)^2= a^2-2ab+b^2
a^2-2ab+b^2 - a^2/b = (simplify a^2)
-2ab+b^2/b = (cancel b's)
= -2a+... | 88,137 |
<|im_start|>user
The probability that A speaks truth is 3/5 and that of B speaking truth is 4/7. What is the probability that they agree in stating the same fact?
Answer Choices: (A) 18/35 (B) 18/38 (C) 18/34 (D) 18/31 (E) 18/30<|im_end|>
<|im_start|>assistant
<think>
</think>
If both agree stating the same fact, eit... | 38,561 |
<|im_start|>user
If a and b are positive integers and b ≠ 1, then ab(b −1) is
Answer Choices: (A) ab^2-ab (B) 2/b (C) 1/b (D) 1/a (E) 1/a+1/b<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is A<|endoftext|> | 15,569 |
<|im_start|>user
A rectangular grass field is 95 m * 55 m, it has a path of 2.5 m wide all round it on the outside. Find the area of the path and the cost of constructing it at Rs.2 per sq m?
Answer Choices: (A) 1350 (B) 1550 (C) 9676 (D) 1679 (E) 2691<|im_end|>
<|im_start|>assistant
<think>
</think>
Area = (l + b +2... | 79,352 |
<|im_start|>user
The speed of a car is 90 km in the first hour and 60 km in the second hour. What is the average speed of the car?
Answer Choices: (A) 79 kmph (B) 85 kmph (C) 34 kmph (D) 23 kmph (E) 14 kmph<|im_end|>
<|im_start|>assistant
<think>
</think>
S = (90 + 60)/2
= 75 kmph
The answer is B<|endoftext|> | 86,954 |
<|im_start|>user
Today is Thursday. The day after 59 days will be
Answer Choices: (A) Monday (B) Tuesday (C) Saturday (D) Sunday (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
59 days = 8 weeks 3 days = 3 odd days
Hence if today is Thursday, After 59 days, it will be = (Thursday + 3 ... | 62,151 |
<|im_start|>user
Anup was asked to find the value of 7/12 of a sum of money Q. Instead of multiplying the same by 7/12,he divided it by 7/12 and his answer exceeded the correct answer by 95. The correct answer is:
Answer Choices: (A) 48 (B) 89 (C) 84 (D) 69 (E) 49<|im_end|>
<|im_start|>assistant
<think>
</think>
... | 19,403 |
<|im_start|>user
5358 x 54 = ?
Answer Choices: (A) 272258 (B) 272358 (C) 289332 (D) 274258 (E) 274358<|im_end|>
<|im_start|>assistant
<think>
</think>
5358 x 51 = 5358 x (50 + 4)
= 5358 x 50 + 5358 x 4
= 267900 + 21432
= 289332.
C)
The answer is C<|endoftext|> | 47,947 |
<|im_start|>user
The salary of a worker is first increased by 30% and afterwards reduced by 30%. What is net change in his salary?
Answer Choices: (A) 3% decrease (B) 5% decrease (C) 9% decrease (D) 4% decrease (E) 8% decrease<|im_end|>
<|im_start|>assistant
<think>
</think>
(30 * 30)/100 = 9% decrease
The answer is ... | 40,044 |
<|im_start|>user
Running at their respective constant rate, machine X takes 2 days longer to produce w widgets than machines Y. AT these rates, if the two machines together produce 5w/4 widgets in 3 days, how many days would it take machine X alone to produce 1w widgets.
Answer Choices: (A) 4 (B) 6 (C) 8 (D) 10 (E) 12<... | 28,712 |
<|im_start|>user
The probability that a visitor at the mall buys a pack of candy is 30%. If three visitors come to the mall today, what is the probability Q that exactly two visitors will buy a pack of candy?
Answer Choices: (A) 0.343 (B) 0.147 (C) 0.189 (D) 0.063 (E) 0.027<|im_end|>
<|im_start|>assistant
<think>
</th... | 93,749 |
<|im_start|>user
A train overtakes two persons walking along a railway track. The first one walks at 4.5 km/hr. The other one walks at 5.4 km/hr. The train needs 8.4 and 8.5 seconds respectively to overtake them. What is the speed of the train if both the persons are walking in the same direction as the train?
Answer C... | 217 |
<|im_start|>user
In how many ways the word "PACK" can be arranged?
Answer Choices: (A) 14 (B) 24 (C) 28 (D) None (E) Cannot be determined<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
The required number of ways = 4!
= 24
The answer is B<|endoftext|> | 88,854 |
<|im_start|>user
The angle between the minute hand and the hour hand of a clock when the time is 12.30, is
Answer Choices: (A) 35° (B) 65° (C) 45° (D) 195° (E) 95°<|im_end|>
<|im_start|>assistant
<think>
</think>
Angle between hands of a clock
When the minute hand is behind the hour hand, the angle between the two ha... | 55,764 |
<|im_start|>user
A gardener grows cabbages in her garden that is in the shape of a square. Each cabbage takes 1 square feet of area in her garden. This year, she has increased her output by 191 cabbages as compared to last year. The shape of the area used for growing the cabbages has remained a square in both these yea... | 93,944 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Every substance around you is made of one or more chemical elements, or types of atoms. Substances that are made of only one chemical element are elementary substances. Substances that are made of two or more chemical elemen... | 1,340 |
<|im_start|>user
A certain animal in the zoo has consumed 39 pounds of food in six days. If it continues to eat at the same rate, in how many more days will its total consumption be 117 pounds?
Answer Choices: (A) 8 (B) 7 (C) 12 (D) 9 (E) none of the above<|im_end|>
<|im_start|>assistant
<think>
</think>
Ans is C:
39... | 32,602 |
<|im_start|>user
A technology company made a $5 million profit on its first $15 million in sales and a $12 million profit on its next $30 million in sales. By what percent did the ratio of profit to sales increase from the first $15 million in sales to the next $30 million in sales?
Answer Choices: (A) 10% (B) 20% (C) ... | 49,188 |
<|im_start|>user
What is the first step in protein synthesis?
Answer choice: (A) reproduction (B) differentiation (C) mutation (D) transcription<|im_end|>
<|im_start|>assistant
<think>
</think>
Transcription is the first step in protein synthesis. It takes place in the nucleus. During transcription, a strand of DNA i... | 6,900 |
<|im_start|>user
The speed of a train is 120 kmph. What is the distance covered by it in 40 minutes?
Answer Choices: (A) 50 kmph (B) 60 kmph (C) 70 kmph (D) 80 kmph (E) 85 kmph<|im_end|>
<|im_start|>assistant
<think>
</think>
120 * 40/60
=80 kmph
The answer is D<|endoftext|> | 47,789 |
<|im_start|>user
Village P’s population is 1200 greater than Village Q's population. If Village Q’s population were reduced by 800 people, then Village P’s population would be 6 times as large as Village Q's population. What is Village Q's current population?
Answer Choices: (A) 1050 (B) 1100 (C) 1150 (D) 1200 (E) 1250... | 60,748 |
<|im_start|>user
Out of a classroom of 6 boys and 5 girls, the teacher randomly chooses a president for the student board, a vice president, and a secretary. What is the probability that only girls will be selected for all three positions?
Answer Choices: (A) 2/33 (B) 4/33 (C) 2/165 (D) 4/165 (E) 7/165<|im_end|>
<|im_s... | 59,812 |
<|im_start|>user
How many such pairs of digits are there in the number '5391246' in both forward and backward directions, each of which has as many digits between them in the number as when the digits are arranged in ascending order with in the number?
Answer Choices: (A) 1 (B) 2 (C) 0 (D) 3 (E) More than 3<|im_end|>
<... | 21,911 |
<|im_start|>user
P is three times as fast as Q and working together, they can complete a work in 42 days. In how many days can Q alone complete the work?
Answer Choices: (A) 16 (B) 77 (C) 56 (D) 55 (E) 778<|im_end|>
<|im_start|>assistant
<think>
</think>
P = 3Q
P + Q = 3Q + Q = 4Q
These 4Q people can do the work in 4... | 68,433 |
<|im_start|>user
If 4 men can colour 48 m long cloth in 2 days, then 8 men can colour 36 m long cloth in
Answer Choices: (A) 0.75 day (B) 2 days (C) 1.2 days (D) 4 days (E) 5 days<|im_end|>
<|im_start|>assistant
<think>
</think>
The length of cloth painted by one man in one day = 48 / 4 × 2 = 6 m
No. of days required... | 31,082 |
<|im_start|>user
What determines sex in animals?
Answer choice: (A) cell structure (B) ribosomes (C) sex chromosomes (D) cell density<|im_end|>
<|im_start|>assistant
<think>
</think>
Sex chromosomes determine sex in animals and many plants. Other chromosomes are called autosomes. Sex-linked traits are controlled by g... | 9,966 |
<|im_start|>user
Steve traveled the first 2 hours of his journey at 35 mph and the remaining 3 hours of his journey at 80 mph. What is his average speed for the entire journey?
Answer Choices: (A) 60 mph (B) 56.67 mph (C) 53.33 mph (D) 62 mph (E) 66.67 mph<|im_end|>
<|im_start|>assistant
<think>
</think>
Distance tra... | 91,469 |
<|im_start|>user
A man bought some apples of which 13% of then were rotten. He sold 75% of the balance and was left with 261 apples. How many apples did he have originally?
Answer Choices: (A) 1000 (B) 1100 (C) 1200 (D) 1300 (E) 1400<|im_end|>
<|im_start|>assistant
<think>
</think>
Ans.
Now take initial number of app... | 37,049 |
<|im_start|>user
A committee is reviewing a total of 20x black-and-white films and 6y color films for a festival. If the committee selects y/x% of the black-and-white films and all of the color films, what fraction R of the selected films are in color?
Answer Choices: (A) 1/130 (B) 1/5 (C) 3/13 (D) 10/13 (E) 30/31<|im_... | 26,312 |
<|im_start|>user
How long is a day on Mercury in Earth time?
Answer choice: (A) 24 hours. (B) 1 Earth year. (C) 59 Earth days. (D) 88 Earth days.<|im_end|>
<|im_start|>assistant
<think>
</think>
A day on Mercury, from one sunrise to the next, lasts about 59 Earth days.
The answer is C<|endoftext|> | 146 |
<|im_start|>user
The distance from City A to City B is 180 miles. While driving from City A to City B, Ed drives at a constant speed of 30 miles per hour. Flora leaves City A 2 hours after Ed. What is the minimum constant speed in miles per hour that Flora must exceed in order to arrive in City B before Ed?
Answer Choi... | 86,429 |
<|im_start|>user
A polling company reports that there is a 40% chance that a certain candidate will win the next election. If the candidate wins, there is a 60% chance that she will sign Bill X and no other bills. If she decides not to sign Bill X, she will sign either Bill Y or Bill Z, chosen randomly. What is the cha... | 11,628 |
<|im_start|>user
A woman is planning a trip that involves 3 connecting trains that depart from Stations X, Y, and Z, respectively. The first train leaves Station X every hour, beginning at 6 a.m., and arrives at Station Y 1(3/4) hours later. The second train leaves Station Y every half hour, beginning at 9 a.m., and ar... | 49,863 |
<|im_start|>user
The sale price sarees listed for Rs.400 after successive discount is 30% and 20% is?
Answer Choices: (A) 297 (B) 879 (C) 342 (D) 762 (E) 224<|im_end|>
<|im_start|>assistant
<think>
</think>
400*(70/100)*(80/100)
= 224
The answer is E<|endoftext|> | 33,059 |
<|im_start|>user
List L: ABC, BCA, CAB
In list L above, there are 6 positive integers, where each of A, B, and C is a different nonzero digit. Which of the following is the sum of all the positive integers that MUST be factors of the sum of the integers in list L?
Answer Choices: (A) 47 (B) 114 (C) 152 (D) 161 (E) 488<... | 52,758 |
<|im_start|>user
Prove that there exists infinitely many positive integers n such that 4n^2 + 1 is divisible both by 5 and 13.
Answer Choices: (A) 5 (B) 6 (C) 5|4n^2+ 1 and 13|4n^2+ 1 (D) 3|4n^2+ 1 and 10|4n^2+ 1 (E) 2|4n^2+ 1 and 1|4n^2+ 1<|im_end|>
<|im_start|>assistant
<think>
</think>
For instance, all numbers n ... | 60,548 |
<|im_start|>user
How do molecules react when a gas is heated?
Answer choice: (A) they move slower (B) they disintegrate (C) they move faster (D) they explode<|im_end|>
<|im_start|>assistant
<think>
</think>
Gases are compressible, meaning that when put under high pressure, the particles are forced closer to one anoth... | 6,610 |
<|im_start|>user
Two vessels A and B contain mixtures of spirit and water. A mixture of 3 parts from A and 2 parts from B is found to contain 29% of spirit and a mixture of 1 part from A and 9 parts from B is found to contain 34 per cent of spirit. Find the percentage of spirit in A and B.
Answer Choices: (A) 35, 25 (B... | 11,777 |
<|im_start|>user
Find the odd man out
2880, 480, 96, 24, 10, 4, 4
Answer Choices: (A) 480 (B) 96 (C) 24 (D) 10 (E) 4<|im_end|>
<|im_start|>assistant
<think>
</think>
from the right side
4*1=4,
4*2=8 but here given 10 so it's not.
8*3=24
24*4=96
96*5=480
480*6=2880
The answer is D<|endoftext|> | 75,100 |
<|im_start|>user
What are hollow cylinders and are the thickest of the cytoskeleton structures?
Answer choice: (A) vesicles (B) cytoplasm (C) nucleotides (D) microtubules<|im_end|>
<|im_start|>assistant
<think>
</think>
Microtubules , shown in Figure below (a) , are hollow cylinders and are the thickest of the cytosk... | 8,804 |
<|im_start|>user
The sum of all solutions for x in the equation x^2 – 4x + 14 = |x – 4|+ 8 is equal to:
Answer Choices: (A) –7 (B) 8 (C) 10 (D) 12 (E) 14<|im_end|>
<|im_start|>assistant
<think>
</think>
x^2 - 4x + 6 = |x-4|
RHS can be -ve or +ve
x^2 - 5x + 10 = 0
x^2 - 3x + 2 = 0
x= 5,2,1
We test all 3 values in orig... | 1,691 |
<|im_start|>user
Find the number that fits somewhere into the middle of the series. Some of the items involve both numbers and letters
Look at this series: C19, E21, __, I25, K27, ... What number should fill the blank?
Answer Choices: (A) D20 (B) E21 (C) F22 (D) G23 (E) H24<|im_end|>
<|im_start|>assistant
<think>
</th... | 237 |
<|im_start|>user
The side of a square is increased by 25% then how much % does its area increases?
Answer Choices: (A) 55.2 % (B) 10 % (C) 15 % (D) 56.25 % (E) 18 %<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
a = 100 a2 = 10000
a = 125 a2 = 15625
----------------
10000 --------- 5625
100 -------? =>... | 87,990 |
<|im_start|>user
The total car population in a Mumbai is 2,94,00 out of which 1,50,00 are made by Honda. Out of every 100 Honda cars, 98 are red in color, but only 53% of the total car population is red. Find the % of non-Honda cars that are red
Answer Choices: (A) 5.025% (B) 5.25% (C) 6.125% (D) 7.34% (E) 8.43%<|im_en... | 73,411 |
<|im_start|>user
A can do a piece of work in 8 days and B alone can do it in 12 days. How much time will both take to finish the work ?
Answer Choices: (A) A) 4.8 (B) B) 6.333 (C) C) 7.333 (D) D) 8.5 (E) E) 9<|im_end|>
<|im_start|>assistant
<think>
</think>
This question can be solved by different methods. We need to... | 20,663 |
<|im_start|>user
P is three times as old as Q. In 11 years, P will be twice as old as Q. How old was P three years ago?
Answer Choices: (A) 21 (B) 24 (C) 27 (D) 30 (E) 33<|im_end|>
<|im_start|>assistant
<think>
</think>
P = 3Q so Q = P/3
P+11 = 2(Q+11) = 2(P/3+11)
P/3 = 11
P = 33
Three years ago, P was 30.
The answer... | 44,642 |
<|im_start|>user
Henrikh lives x blocks from his office. It takes him 1 minute per block to walk to
work and 20 seconds per block to ride his bicycle to work. If it takes him exactly
9 minutes more to walk to work than to ride his bicycle, then x equals
Answer Choices: (A) 4 (B) 7 (C) 10 (D) 15 (E) 13.5<|im_end|>
<|im_... | 71,218 |
<|im_start|>user
A reduction of 30% in the price of oil enables a house wife to obtain 5kgs more for Rs.800, what is the reduced price for kg?
Answer Choices: (A) 46 (B) 47 (C) 48 (D) 49 (E) 50<|im_end|>
<|im_start|>assistant
<think>
</think>
800*(30/100) = 240 ---- 5
? ---- 1 => Rs.48
The answer is C<|endoftext|> | 78,145 |
<|im_start|>user
Bog destruction in scotland is an example of the widespread loss of what kind of habitat?
Answer choice: (A) tundra (B) wetland (C) ocean (D) desert<|im_end|>
<|im_start|>assistant
<think>
</think>
A habitat that is quickly being destroyed is the wetland . By the 1980s, over 80% of all wetlands in pa... | 1,069 |
<|im_start|>user
Mary invested a certain sum of money in a bank that paid simple interest. The amount grew to $260 at the end of 2 years. She waited for another 3 years and got a final amount of $350. What was the principal amount that she invested at the beginning?
Answer Choices: (A) $220 (B) $230 (C) $240 (D) $200 (... | 84,874 |
<|im_start|>user
What organ is divided into the duodenum, the jejunum, and the ileum?
Answer choice: (A) large intestine (B) small intestine (C) kidney (D) lung<|im_end|>
<|im_start|>assistant
<think>
</think>
Most chemical digestion and nearly all absorption of nutrients take place in the small intestine. This organ... | 11,061 |
<|im_start|>user
Anitha had 80 currency notes in all, some of which are of Rs 95 denomination and the remaining of Rs 45 denomination. The total amount of all these currency notes was Rs. 4000. How much amount (in Rs) did she have in the denomination of Rs 45?
Answer Choices: (A) 3500 (B) 72 (C) 2000 (D) 3000 (E) 4000<... | 66,529 |
<|im_start|>user
Will must choose a 3-character computer password, consisting of 3 distinct digits, in any order.From how many different passwords can Will choose?
Answer Choices: (A) 390 (B) 2,340 (C) 4,320 (D) 7,020 (E) 14,040<|im_end|>
<|im_start|>assistant
<think>
</think>
10C1*9C1*8C1 = 720.
=>720 * 3 ! = 4320.
... | 46,156 |
<|im_start|>user
Express of the following as a fraction: 0.008%
Answer Choices: (A) 3/1250 (B) 9/1250 (C) 6/1250 (D) 1/1250 (E) None of them<|im_end|>
<|im_start|>assistant
<think>
</think>
0.008 = 8/100 = 1/1250.
The answer is D<|endoftext|> | 54,965 |
<|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... | 31 |
<|im_start|>user
At what rate of annual simple interest,a certain sum will amount to four times in 15 year?
Answer Choices: (A) 15% (B) 17.5% (C) 20% (D) 25% (E) 35%<|im_end|>
<|im_start|>assistant
<think>
</think>
r=?
t=15 yrs
SI=p*r*t/100
Amount = SI+p = 4p
(p*r*15/100)+p = 4p
p(15r/100 + 1) = 4p
15r + 100 = 400
15... | 15,009 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
There are four kinds of sentences.
A declarative sentence is a statement, and it always ends with a period.
The nurse told Mr. Abrams to roll up his sleeve so that she could check his blood pressure.
An interrogative sentenc... | 3,743 |
<|im_start|>user
If 2ab - 3c = 2a(b - c), which of the following must be true?
Answer Choices: (A) a=3/2 and c=0 (B) a=1/2 and b=2 (C) b=1 and c=0 (D) a=1 or b=0 (E) a=1/2 or c=0<|im_end|>
<|im_start|>assistant
<think>
</think>
2ab-3c = 2a (b-c)
2ab - 3c = 2ab - 2ac
3c= 2ac
2ac-3c = 0
c(2a-3) = 0
Either c = 0; o... | 96,098 |
<|im_start|>user
If a = 1 and b = -2, then (2a^2 + b)(q + y) + (a + b)(q - y) =
Answer Choices: (A) 0 (B) 2x (C) y - q (D) x - y (E) x + y<|im_end|>
<|im_start|>assistant
<think>
</think>
Putting A=1 and B = -2 => 2A^2-B=0 ; so the first part of the term is zero
with second term => (1-2) *(q+y)=y-q => Smash C
The ans... | 13,527 |
<|im_start|>user
A batsman makes a score of 64 runs in the 16th innings and thus increased his average by 3. Find his average after the 16th inning?
Answer Choices: (A) 22 (B) 77 (C) 26 (D) 19 (E) 88<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the average after the 16th inning be P.
So, the average after the... | 37,738 |
<|im_start|>user
Frances can complete a job in 6 hours, and Joan can complete the same job in 12 hours. Frances starts the job at 9 a.m., and stops working at 1 p.m. If Joan starts working at 4 p.m. to complete the job, at what time is the job finished?
Answer Choices: (A) 6 p.m. (B) 7 p.m. (C) 12 p.m. (D) 10 p.m. (E) ... | 85,333 |
<|im_start|>user
The L.C.M of two numbers is 495 and their H.C.F is 5. If the sum of the numbers is 100, then their difference is
Answer Choices: (A) 19 (B) 10 (C) 28 (D) 27 (E) 29<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the numbers be x and (100-x).
Then,
\inline \fn_jvn \Rightarrow \inline \fn_jvn x^{2... | 74,821 |
<|im_start|>user
Tough and Tricky questions: Mixture Problems.
A drink holding 6 ounces of an alcoholic drink that is 1 part rum to 2 parts coke is added to a jug holding 36 ounces of an alcoholic drink that is 1 part rum to 3 parts coke. What is the ratio of rum to coke in the resulting mixture?
Answer Choices: (A) 2:... | 12,588 |
<|im_start|>user
1370 , X, 1070 , -180, -6430
Answer Choices: (A) 1320 (B) 6530 (C) 6630 (D) 6730 (E) 6830<|im_end|>
<|im_start|>assistant
<think>
</think>
1370-50*(5^0)=1320
1320-50*(5^1)=1070
1070-50*(5^2)=-180
-180-50*(5^3)=-6430
The answer is A<|endoftext|> | 86,902 |
<|im_start|>user
If 0 < a < b and k = (2a + 3b)/b , which of the following must be true?
Answer Choices: (A) k < 2 (B) k < 5 (C) k < 9 (D) k > 9 (E) k > 11<|im_end|>
<|im_start|>assistant
<think>
</think>
Here's another approach:
k = (2a + 3b)/b
= 2a/b + 3b/b
= 2(a/b) + 3
Since 0 < a < b, we know that a/b is less tha... | 3,738 |
<|im_start|>user
39 persons can repair a road in 12 days, working 5 hours a day. In how many days will 30 persons, working 3 hours a day, complete the work?
Answer Choices: (A) 10 (B) 26 (C) 14 (D) 15 (E) 16<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the required number of days be x.
Less persons, More days... | 18,278 |
<|im_start|>user
A circular metal plate of even thickness has 12 holes of radius 1 cm drilled into it. As a result the plate lost 1/6th its original weight. The radius of the circular plate is
Answer Choices: (A) 16sqrt2 (B) 8sqrt2 (C) 32sqrt2 (D) sqrt72 (E) sqrt82<|im_end|>
<|im_start|>assistant
<think>
</think>
Are... | 29,821 |
<|im_start|>user
A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If two marbles are picked at random, what is the probability that they are either blue or yellow?
Answer Choices: (A) 2/28 (B) 2/27 (C) 2/21 (D) 2/89 (E) 2/11<|im_end|>
<|im_start|>assistant
<think>
</think>
Given that there ... | 89,365 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
During peer review, you read and respond to a fellow student's writing. While there are many methods and strategies that you can use for reviewing a text, it is generally helpful to frame your suggestions in concrete and con... | 5,089 |
<|im_start|>user
Divide $ 1162 among A, B, C in the ratio 35 : 28 : 20.
Answer Choices: (A) 490,490,490 (B) 360,392,460 (C) 490,392,280 (D) 260,160,60 (E) 492,390,280<|im_end|>
<|im_start|>assistant
<think>
</think>
Sum of ratio terms = (35 + 28 + 20) = 83.
A's share = $ (1162 x (35/83))= $ 490; B's share = $ (1162 x... | 31,454 |
<|im_start|>user
The average of five numbers is 27. If one number is excluded, the average becomes 24. The excluded number is?
Answer Choices: (A) 36 (B) 37 (C) 38 (D) 39 (E) 40<|im_end|>
<|im_start|>assistant
<think>
</think>
Excluded number = (27 * 5) - (24 * 4)
= 135 - 96
= 39.
The answer is D<|endoftext|> | 84,760 |
<|im_start|>user
A group consists of 4 men, 6 women and 5 children. In how many ways can 2 men , 3 women and 1 child selected from the given group?
Answer Choices: (A) 400 (B) 600 (C) 287 (D) 278 (E) 281<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Two men, three women and one child can be selected i... | 57,724 |
<|im_start|>user
In how many Q ways can the letters of the word JUPITER be arranged in a row so that the vowels appear in alphabetic order?
Answer Choices: (A) 736 (B) 768 (C) 792 (D) 840 (E) 876<|im_end|>
<|im_start|>assistant
<think>
</think>
three letters can be arranged in 3! ways.
only one combination EIU i... | 57,461 |
<|im_start|>user
Two pipes can fill a tank in 18 minutes and 6 minutes. An outlet pipe can empty the tank in 45 minutes. If all the pipes are opened when the tank is empty, then how many minutes will it take to fill the tank?
Answer Choices: (A) 1/15 (B) 1/6 (C) 1/11 (D) 1/10 (E) 1/12<|im_end|>
<|im_start|>assistant
<t... | 95,220 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Experiments can be designed to answer specific questions. When designing an experiment, you must identify the supplies that are necessary to answer your question. In order to do this, you need to figure out what will be test... | 5,202 |
<|im_start|>user
A used-book dealer sells paperback books at 3 times dealer's cost and hardback books at 4 times the dealer's cost. Last week, the dealer sold a total of 160 books, each of which had cost the dealer $1. If the gross profit (sales revenue minus the dealer's cost) on the sale of all of these books was $40... | 20,581 |
<|im_start|>user
How many seconds will a 550 m long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
Answer Choices: (A) 12 sec (B) 30 sec (C) 33 sec (D) 16 sec (E) 18 sec<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed of tra... | 64,726 |
<|im_start|>user
Vijay bought 160 shirts at the rate of Rs. 205 per shirt. The transport expenditure was Rs. 1400. He paid an octroi at the rate of Rs. 1.75 per shirt and labour charges were Rs. 320. What should be the selling price of one shirt, if he wants a profit of 20%?
Answer Choices: (A) s.225 (B) s.288 (C) s.48... | 96,292 |
<|im_start|>user
4 dice are thrown simultaneously on the board. Find the probability show the same face?
Answer Choices: (A) 1/211 (B) 2/213 (C) 1/216 (D) 2/113 (E) 2/115<|im_end|>
<|im_start|>assistant
<think>
</think>
The total number of elementary events associated to the random experiments of throwing four dice s... | 10,681 |
<|im_start|>user
A train speeds past a pole in 15 sec and a platform 100 m long in 25 sec, its length is?
Answer Choices: (A) 299 m (B) 982 m (C) 399 m (D) 150 m (E) 354 m<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the length of the train be x m and its speed be y m/sec.
Then, x/y = 15 => y = x/15
(x + 100)... | 29,843 |
<|im_start|>user
If the ratio of a to b is 2 to 3 and the ratio of b to c is 1 to 5, what is the ratio of a to c?
Answer Choices: (A) 4/15 (B) 1/3 (C) 2/15 (D) 4/5 (E) 7/6<|im_end|>
<|im_start|>assistant
<think>
</think>
a:b = 2:3 -- 1
b:c = 1:5
=>b:c = 3 :15 --2
From 1 and 2 , we get
a:c = 2:15
The answer is C<|endo... | 32,213 |
<|im_start|>user
Excluding stoppages, the speed of a bus is 48 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour?
Answer Choices: (A) 5 (B) 4.15 (C) 4.25 (D) 5.5 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Due to stoppages, it covers 314 km less.
Time ... | 24,962 |
<|im_start|>user
If a choir consists of 5 boys and 7 girls, in how many ways can the singers be arranged in a row, so that all the boys are together? Do not differentiate between arrangements that are obtained by swapping two boys or two girls.
Answer Choices: (A) 120 (B) 30 (C) 24 (D) 11 (E) 8<|im_end|>
<|im_start|>as... | 35,623 |
<|im_start|>user
A ball is bought for Rs.400 and sold at a gain of 20% find its selling price
Answer Choices: (A) Rs.400/- (B) Rs.420/- (C) Rs.480/- (D) Rs.500/- (E) Rs.520/-<|im_end|>
<|im_start|>assistant
<think>
</think>
100 % ------> 400 (100 * 4 = 400)
120 % ------> 480 (120 * 4 = 480)
Selling price = Rs.480/-
C... | 20,429 |
<|im_start|>user
Of 30 applicants for a job, 12 had at least 4 years' experience, 18 had degrees, and 3 had less than 4 years' experience and did not have a degree.How many of the applicants had at least 4 years' experience and a degree?
Answer Choices: (A) 14 (B) 13 (C) 9 (D) 7 (E) 5<|im_end|>
<|im_start|>assistant
<t... | 92,327 |
<|im_start|>user
Sachin is younger than Rahul by 7 years. If the ratio of their ages is 7:9, find the age of Sachin
Answer Choices: (A) 23.5 (B) 24.5 (C) 12.5 (D) 14.5 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
If Rahul age is x, then Sachin age is x-7,
so (x-7)/x = 7/9
=> 9x-63 =... | 37,772 |
<|im_start|>user
An amount of money was lent for 3 years. What will be the difference between the simple and the compound interest earned on it at the same rate?
I. The rate of interest was 8 p.c.p.a.
II. The total amount of simple interest was Rs. 1200.
Answer Choices: (A) I alone sufficient while II alone not suffici... | 73,633 |
<|im_start|>user
Electrons are organized into shells and subshells about the nucleus of this?
Answer choice: (A) compound (B) atom (C) molecule (D) element<|im_end|>
<|im_start|>assistant
<think>
</think>
Electrons are organized into shells and subshells about the nucleus of an atom.
The answer is B<|endoftext|> | 9,660 |
<|im_start|>user
A train 146 m long is running at a speed of 98 kmph. How long does it take to pass a man who is running at 12 kmph in the same direction as the train?
Answer Choices: (A) 6 sec (B) 9 sec (C) 12 sec (D) 18 sec (E) 15 sec<|im_end|>
<|im_start|>assistant
<think>
</think>
Answer : A.
Speed of the train r... | 50,574 |
<|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 from biological parents to their offspring through genes. Gen... | 920 |
<|im_start|>user
There are 28 balls which are red, blue or green. If 12 balls are green and the sum of red balls and green balls is less than 24, at most how many red balls are there?
Answer Choices: (A) 10 (B) 12 (C) 11 (D) 13 (E) 14<|im_end|>
<|im_start|>assistant
<think>
</think>
r+g+b=28
g=12
r + g < 24
=> r + 12... | 93,829 |
<|im_start|>user
Calculate the share of profit that belongs to Mark in a partnership business he invested Rs 31,000. His partner Abel invested RS.36,800 and the business made a profit of Rs 18,400.
Answer Choices: (A) 8499.98 (B) 8489.98 (C) 8412.98 (D) 8732.98 (E) 2112.98<|im_end|>
<|im_start|>assistant
<think>
</thi... | 45,983 |
<|im_start|>user
The H.C.F. of two numbers is 11 and their L.C.M. is 7700. If one of the numbers is 275, then the other is:
Answer Choices: (A) 279 (B) 283 (C) 308 (D) 318 (E) 415<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
Other number = 11â‹…7700 / 275 = 308
The answer is C<|endoftext|> | 64,631 |
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