text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
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<|im_start|>user
On the shelf, there are four books of poetry, four novels, and three reference works. Suppose we picked two books at random. What is the probability that we pick one novel and one reference work?
Answer Choices: (A) 7/15 (B) 8/25 (C) 9/35 (D) 11/45 (E) 12/55<|im_end|>
<|im_start|>assistant
<think>
</t... | 30,682 |
<|im_start|>user
Eight percent of the programmers in a startup company weigh 200 pounds or more. Twenty-five percent of the programmers that are under 200 pounds in that same company weigh 100 pounds or less. What percent of the programmers in the startup company weigh between 100 and 200 pounds?
Answer Choices: (A) 15... | 45,619 |
<|im_start|>user
What gas is released by burning of fossil fuels and contributes to global warming?
Answer choice: (A) nitrous oxide (B) hydrogen (C) helium (D) carbon dioxide<|im_end|>
<|im_start|>assistant
<think>
</think>
Using fossil fuels affects the environment in a variety of ways. There are impacts to the env... | 7,918 |
<|im_start|>user
39! is divided by 41 then what is the remainder?
Answer Choices: (A) 1 (B) 2 (C) 4 (D) 6 (E) 7<|im_end|>
<|im_start|>assistant
<think>
</think>
Substituting p = 41 in the wilson's theorem, we get
40!+141=0
40×39!+141=0
−1×39!41=−1
Cancelling -1 on both sides,
39!41=1
A
The answer is A<|endoftext|> | 14,169 |
<|im_start|>user
Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 5 sec. What is the length of the fast train?
Answer Choices: (A) 27 7/8 (B) 27 7/6 (C) 27 7/4 (D) 27 7/9 (E) 27 7/1<|im_end|>
<|im_start|>assistant
<thin... | 44,905 |
<|im_start|>user
In how many different ways can 3 boys and 3 girls sit on a bench such that the girls always sit together?
Answer Choices: (A) 96 (B) 108 (C) 120 (D) 132 (E) 144<|im_end|>
<|im_start|>assistant
<think>
</think>
We can think of the girls as one unit.
The number of ways to arrange 4 units in order is 4!... | 40,089 |
<|im_start|>user
The area of a square field 3136 sq m, if the length of cost of drawing barbed wire 3 m around the field at the rate of Rs.1.40 per meter. Two gates of 1 m width each are to be left for entrance. What is the total cost?
Answer Choices: (A) 399 (B) 272 (C) 932.4 (D) 277 (E) 311<|im_end|>
<|im_start|>assi... | 74,593 |
<|im_start|>user
After dispersal of a seed, what next step may occur if environmental conditions are favorable?
Answer choice: (A) germination (B) bloom (C) degradation (D) infection<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is A<|endoftext|> | 1,734 |
<|im_start|>user
For a three-digit number xyz, where x, y, and z are the digits of the number, f(xyz)=5^x 2^y 3^z . If f(abc)=3*f(def), what is the value of abc-def ?
Answer Choices: (A) 1 (B) 2 (C) 3 (D) 9 (E) 27<|im_end|>
<|im_start|>assistant
<think>
</think>
Since f(abc) = 3*f(def), I would assume that f = c - 1 ... | 69,978 |
<|im_start|>user
The true discount on a bill of Rs. 2660 is Rs. 360. What is the banker's discount?
Answer Choices: (A) Rs. 432 (B) Rs. 422 (C) Rs. 416 (D) Rs. 442 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
F = Rs. 2660
TD = Rs. 360
PW = F - TD = 2660 - 360 = Rs. 2300
True Discou... | 61,395 |
<|im_start|>user
If Teena is driving at 55 miles per hour and is currently 7.5 miles behind Joe, who is driving at 40 miles per hour in the same direction then in how many minutes will Teena be 30 miles ahead of Joe?
Answer Choices: (A) 150 (B) 60 (C) 75 (D) 90 (E) 105<|im_end|>
<|im_start|>assistant
<think>
</think>
... | 80,398 |
<|im_start|>user
What is the name of the cell that results when a sperm nucleus fuses with a egg nucleus?
Answer choice: (A) t cell (B) a cytoplasm (C) a filament (D) a zygote<|im_end|>
<|im_start|>assistant
<think>
</think>
When a sperm penetrates the egg, it triggers the egg to complete meiosis. The sperm also unde... | 5,820 |
<|im_start|>user
What is the least number of squares tiles required to pave the floor of a room 6 m 75 cm long and 4 m 5 cm broad?
Answer Choices: (A) 15 (B) 20 (C) 40 (D) 44 (E) 54<|im_end|>
<|im_start|>assistant
<think>
</think>
Length of largest tile = H.C.F. of 675 cm and 405 cm = 135 cm.
Area of each tile = (135... | 50,258 |
<|im_start|>user
Three 6 faced dice are thrown together. The probability that no two dice show the same number on them is
Answer Choices: (A) 5/1 (B) 5/9 (C) 5/8 (D) 5/6 (E) 5/2<|im_end|>
<|im_start|>assistant
<think>
</think>
No two dice show same number would mean all the three faces should show different numbers. ... | 22,221 |
<|im_start|>user
In how many ways can 5 boysand 2 girls be arranged at a table if 2 girls are never together?
Answer Choices: (A) 350 (B) 390 (C) 400 (D) 420 (E) 480<|im_end|>
<|im_start|>assistant
<think>
</think>
Total ways of arranging 7 person in a circle = 6! = 720 ways
If we consider two women as one, then we h... | 84,670 |
<|im_start|>user
In a race of length L metres, Johnson beats Lewis by Y metres and Greene by N metres, By how many metres does Lewis beat Greene in the same race ? (Y<N)
Answer Choices: (A) L(L-N) / L-Y (B) L(N-Y) / L-Y (C) L-N (D) Y-N (E) Y+N<|im_end|>
<|im_start|>assistant
<think>
</think>
As the time is constant... | 77,786 |
<|im_start|>user
A car starts from X and moves towards Y. At the same time another car starts from Y and moves towards X. Both travel at a constant speed and meet after 7 hours. During that time, the faster car traveled 2/3 of the distance XY. How long would it take the slower car to travel the distance XY?
Answer Choi... | 35,295 |
<|im_start|>user
There are 50 boys in a class. Their average weight is 45 kg. When one boy leaves the class, the average reduces by 100 g. Find the weight of the boy who left the class.
Answer Choices: (A) 40.9 kg (B) 42.9 kg (C) 49.9 kg (D) 39.9 kg (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
H... | 51,802 |
<|im_start|>user
Jack bought 200 packets of swiss chocolate. He was able to sell 1/2 of them at a 5% profit, another 1/4 of them at zero profit and the remainder was sold at a 10% loss. Find the total profit or loss made by Jack after selling those 200 packets. A packet sold at a loss had a price of $9.
It's a bit conf... | 25,109 |
<|im_start|>user
Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5?
Answer Choices: (A) 9/209 (B) 9/27 (C) 9/20 (D) 9/22 (E) 9/21<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Here, S = {... | 14,645 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Informal writing is typically used in casual situations or when communicating with someone you know well. Informal language often expresses familiarity and tends to sound more like speech. It uses more conversational languag... | 5,447 |
<|im_start|>user
A person can row upstream 20 kmph and downstream 30 kmph. Find the person rate in still water and rate of the stream.
Answer Choices: (A) 25,5 (B) 10,5 (C) 5,5 (D) 10,5 (E) 1,5<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Please remember,
If a is rate downstream and b is rate upstrea... | 33,608 |
<|im_start|>user
In a car wheel, four spokes cover 40 degree. Then for the entire car,how many spokes are there?
Answer Choices: (A) 120 (B) 144 (C) 158 (D) 200 (E) 328<|im_end|>
<|im_start|>assistant
<think>
</think>
given, 4 spokes cover 40degrees,
so for 360 degrees.---->360*4/40=36..
so, for entire car, 4*36=144
... | 59,412 |
<|im_start|>user
Fractures, rickets, and osteoarthritis all affect what part(s) of the body?
Answer choice: (A) fossils (B) Heart (C) bones (D) animals<|im_end|>
<|im_start|>assistant
<think>
</think>
Despite their hardness and strength, bones can suffer from injury and disease. Bone problems include fractures, osteo... | 2,781 |
<|im_start|>user
Two men starting from the same place walk at the rate of 5 kmph and 5.5 kmph respectively. What time will they take to be 9.5 km apart, if they walk in the same direction?
Answer Choices: (A) 19 hrs (B) 14 hrs (C) 15 hrs (D) 17 hrs (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Sol.
to be ... | 36,919 |
<|im_start|>user
20^10 / 120^5=?
Answer Choices: (A) 6^5 (B) 5^6 (C) (10/3) ^5 (D) 6^3 (E) 15^3<|im_end|>
<|im_start|>assistant
<think>
</think>
20^10 / 120^5=?
A. 6^5
B. 5^6
C. (10/3)^5
D. 6^3
E. 15^3
-> 20^10 / 120^5=(20^10)/(6^5)(20^5)=(20^5)/(6^5)=(2^5)(10^5)/(2^5)(3^5)=(10/3)^5.
Thus, C is
The answer is C<|endof... | 51,718 |
<|im_start|>user
On a certain plane, 2/5 of the passengers speak English and 3/4 speak Hebrew. If all of the passengers on the plane speak at least one of these languages, what is the smallest number of passengers that could be on the plane?
Answer Choices: (A) 12 (B) 15 (C) 100 (D) 124 (E) 130<|im_end|>
<|im_start|>as... | 77,566 |
<|im_start|>user
If c > 1 and d = 2^(c −1), then 4^c =
Answer Choices: (A) 16d^2 (B) 4d^2 (C) d^2 (D) d^2/4 (E) d^2/16<|im_end|>
<|im_start|>assistant
<think>
</think>
If c > 1 and d = 2^(c −1), then 4^c
Given c>1, so let's assume c=2
d=2^(c-1) = 2^(2-1) = 2, so d=2
hence, 4^c = 4^2 = 16
only 1 ans. choice can satisf... | 25,802 |
<|im_start|>user
2+2^2+2^+......+2^9=?
Answer Choices: (A) 2044 (B) 1022 (C) 1056 (D) 1065 (E) None of them<|im_end|>
<|im_start|>assistant
<think>
</think>
This is a G.P. in which a=2, r=2^2/2=2 and n=9
S^n=a(r^n -1)/(r-1)
=2x(2^9-1)/(2-1)
=2x(512-1)=2x511
=1022
The answer is B<|endoftext|> | 76,047 |
<|im_start|>user
A man bought an article and sold it at a gain of 5 %. If he had bought it at 5% less and sold it for Re 2 less, he would have made a profit of 10%. The C.P. of the article was
Answer Choices: (A) 344 (B) 218 (C) 400 (D) 388 (E) 211<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Let ori... | 87,833 |
<|im_start|>user
The measures of the 2 acute angles of a triangle are in the ratio of 2:7. What are the measures of the 2 angles?
Answer Choices: (A) 60° (B) 70° (C) 80° (D) 90° (E) 100°<|im_end|>
<|im_start|>assistant
<think>
</think>
If the ratio of the two angles is 2:7, then the measures of two angles can be writ... | 68,437 |
<|im_start|>user
Which type of tides are created when the sun and moon's tides match?
Answer choice: (A) spring tides (B) Neap tides (C) low tides (D) weak tides<|im_end|>
<|im_start|>assistant
<think>
</think>
When the Sun's and Moon's tides match, there are spring tides. When the two tides are opposed, there are ne... | 4,870 |
<|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... | 3,001 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
A pure substance is made of only one type of matter.
A mixture is made of two or more types of matter mixed together.
Question:
Select the mixture.
Answer Choices: (A) pasta salad (B) silver<|im_end|>
<|im_start|>assistant
... | 2,272 |
<|im_start|>user
Jane and Thomas are among the 8 people from which a committee of 4 people is to be selected. How many different possible committees of 4 people can be selected from these 8 people if at least one of either Jane or Thomas is to be selected?
Answer Choices: (A) 28 (B) 46 (C) 55 (D) 63 (E) 70<|im_end|>
<|... | 24,597 |
<|im_start|>user
Anita has 360 apples. There are 60 students are studying in her class. She would like to give each student the same amount of apples, how much should she give to each student?
Answer Choices: (A) 12 (B) 6 (C) 9 (D) 15 (E) 7<|im_end|>
<|im_start|>assistant
<think>
</think>
360/60 = 6
The answer is B<|... | 96,099 |
<|im_start|>user
The ratio of spinsters to cats is 2 to 9. If there are 63 more cats than spinsters, how many spinsters are there?
Answer Choices: (A) 10 (B) 12 (C) 14 (D) 16 (E) 18<|im_end|>
<|im_start|>assistant
<think>
</think>
Let 2x be the number of spinsters. Then 9x is the number of cats.
9x-2x=63
x=9 and the ... | 34,727 |
<|im_start|>user
If (-6)^(2x) = 6^(7 + x) and x is an integer, what is the value of x ?
Answer Choices: (A) 5 (B) 4 (C) 3 (D) 8 (E) 7<|im_end|>
<|im_start|>assistant
<think>
</think>
Since x is an integer, (-6)^2x is always positive.
So, 6^2x = 6^(7 + x)
2x = 7 + x
x = 7
The answer is E<|endoftext|> | 40,822 |
<|im_start|>user
2,5,12,31,81,__
Answer Choices: (A) 210 (B) 211 (C) 213 (D) 214 (E) 215<|im_end|>
<|im_start|>assistant
<think>
</think>
12= 5*2+2
31= 12*2+5+2
81= 31*2+12+5+2
Similarly 81*2+31+12+5+2 = 162+50=212
The answer is C<|endoftext|> | 45,216 |
<|im_start|>user
By selling 150 mangoes, a fruit-seller gains the selling price of 15 mangoes. Find the gain percent?
Answer Choices: (A) 27% (B) 25% (C) 11% (D) 85% (E) 24%<|im_end|>
<|im_start|>assistant
<think>
</think>
SP = CP + g
150 SP = 150 CP + 15 SP
135 SP = 150 CP
135 --- 15 CP
100 --- ? => 11%
The answer i... | 46,711 |
<|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... | 709 |
<|im_start|>user
How many days will there be from 29th January,1996 to 15th May,1996(both days included)?
Answer Choices: (A) 102 (B) 103 (C) 111 (D) 120 (E) 108<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Number of days from 29-Jan-1996 to 15-May-1996 (both days included)
= 3(Jan) + 29(Feb) + 31 (M... | 86,346 |
<|im_start|>user
Tough and Tricky questions: Exponents.
If a and b are positive integers and x = 5^a and y = 4^b, which of the following is a possible units digit of xy?
Answer Choices: (A) 1 (B) 4 (C) 5 (D) 7 (E) 0<|im_end|>
<|im_start|>assistant
<think>
</think>
Only Units digit of X and Y contribute to the Units d... | 75,619 |
<|im_start|>user
If n = 4p, where p is a prime number greater than 2, how many different positive even divisors does n have, including n ?
Answer Choices: (A) Two (B) Three (C) Four (D) Six (E) Eight<|im_end|>
<|im_start|>assistant
<think>
</think>
n=4p
since n = 4p then even divisors are:
4p/4p = 1
4p/2p = 2
4p/4 = ... | 14,462 |
<|im_start|>user
The probability of having a girl is identical to the probability of having a boy. In a family with five children, what is the probability that all the children are of the same gender?
Answer Choices: (A) 1/16 (B) 1/4 (C) 1/8 (D) 1/12 (E) 1/25<|im_end|>
<|im_start|>assistant
<think>
</think>
There are... | 52,947 |
<|im_start|>user
Mangala completes a piece of work in 20 days, Raju completes the same work in 30 days. If both of them work together, then the number of days required to complete the work is?
Answer Choices: (A) 8 days (B) 12 days (C) 14 days (D) 16 days (E) 18 days<|im_end|>
<|im_start|>assistant
<think>
</think>
I... | 24,675 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Personification is giving human characteristics to nonhuman things. It is a figure of speech that can be used to make writing more interesting or to emphasize a point.
The trees danced in the wind.
The word danced describes ... | 6,319 |
<|im_start|>user
Where is the cell wall located?
Answer choice: (A) in cell membrane (B) in the chloroplast (C) in the mitochondria (D) outside cell membrane<|im_end|>
<|im_start|>assistant
<think>
</think>
The cell wall is located outside the cell membrane. It consists mainly of cellulose and may also contain lignin... | 7,036 |
<|im_start|>user
If a number x is in octal form and having zero as unit place then if we change that number x in decimal form then what is the probability that number x having zero as unit place?
Answer Choices: (A) 11/64 (B) 11/69 (C) 11/66 (D) 11/64 (E) 11/61<|im_end|>
<|im_start|>assistant
<think>
</think>
example... | 13,007 |
<|im_start|>user
How many different arrangements of letters are possible if three letters are chosen from the letters A through F and the letters E and A must be among the letters selected?
Answer Choices: (A) 24 (B) 28 (C) 32 (D) 36 (E) 40<|im_end|>
<|im_start|>assistant
<think>
</think>
Besides A and E, there are 4... | 71,612 |
<|im_start|>user
Ravi can do a piece of work in 20 days while Prakash can do it in 40 days. In how many days will they finish it together?
Answer Choices: (A) 5 7/9 days (B) 6 7/9 days (C) 5 1/9 days (D) 5 7/2 days (E) 4 7/9 days<|im_end|>
<|im_start|>assistant
<think>
</think>
1/20 + 1/40 = 3/40
40/7 = 5 7/9 days
Th... | 33,605 |
<|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... | 2,817 |
<|im_start|>user
15 different biology books and 8 different chemistry books lie on a shelf. In how many ways can a student pick 2 books of each type?
Answer Choices: (A) 80 (B) 160 (C) 720 (D) 2100 (E) 2940<|im_end|>
<|im_start|>assistant
<think>
</think>
No. of ways of picking 2 biology books(from 15 books) = 15c2 =... | 9,823 |
<|im_start|>user
Nathan took out a student loan for 1200$ at 10 percent annual interest, compounded annually. If he did not repay any of the loan or interest during the first 3 years, which of the following is the closest to the amount of interest he owed for the 3 years.
Answer Choices: (A) 360 (B) 390 (C) 400 (D) 410... | 28,167 |
<|im_start|>user
Compound interest earned on a sum for the second and the third years are Rs.12000 and Rs.13800 respectively. Find the rate of interest?
Answer Choices: (A) 15% p.a. (B) 22% p.a. (C) 20% p.a. (D) 24% p.a. (E) None of these.<|im_end|>
<|im_start|>assistant
<think>
</think>
Rs.13800 - 12000 = Rs.1800 is... | 38,227 |
<|im_start|>user
which of the following could be the greatest common factor of positive integers 4 and 8 ?
I) 8 II) 4 III) 2
Answer Choices: (A) III only (B) II only (C) I only (D) I,II only (E) II,III only<|im_end|>
<|im_start|>assistant
<think>
</think>
4=2*2
8=2*2*4
GCF = 2*2 = 4
The answer is B<|endoftext|> | 73,366 |
<|im_start|>user
If x < 12, then it must be true that...
Answer Choices: (A) -x < -12 (B) -x - 2 < 14 (C) -x + 2 < -10 (D) x + 2 < 10 (E) x - 3 < 14<|im_end|>
<|im_start|>assistant
<think>
</think>
A. -x < -12 --> x>12. Not true.
B. -x - 2 < 14 --> x>-16. Not true, consider x=-20.
C. -x + 2 < -10 --> x>12. Not true.
... | 73,827 |
<|im_start|>user
The cost price of 13 articles is equal to the selling price of 11 articles. Find the profit percent?
Answer Choices: (A) 18 2/18% (B) 18 2/11% (C) 18 2/91% (D) 18 9/11% (E) 12 2/11%<|im_end|>
<|im_start|>assistant
<think>
</think>
13 CP = 11 SP
11 --- 2 CP
100 --- ? =>18 2/11%
The answer is B<|endoft... | 34,565 |
<|im_start|>user
Tough and Tricky questions: Combinations.
Seven students - 4 boys and 3 girls - are to sit side by side for a makeup exam. How many ways could they arrange themselves given that no two boys and no two girls can sit next to one another?
Answer Choices: (A) 12 (B) 36 (C) 72 (D) 288 (E) 720<|im_end|>
<|im... | 51,447 |
<|im_start|>user
A can do a certain job in 14 days. B is 60% more efficient than A. How many days does B alone take to do the same job?
Answer Choices: (A) 7 1/2 days (B) 8 3/4 days (C) 5 days (D) 9 days (E) None of them<|im_end|>
<|im_start|>assistant
<think>
</think>
Ratio of times taken by A and B = 160 : 100 = 8 ... | 24,470 |
<|im_start|>user
A is the average (arithmetic mean) of the first 7 positive multiples of 8 and B is the median of the first 3 positive multiples of positive integer n. If the value of A^2 – B^2 is zero, what is the value of n?
Answer Choices: (A) 10 (B) 12 (C) 16 (D) 24 (E) 32<|im_end|>
<|im_start|>assistant
<think>
<... | 82,244 |
<|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... | 2,695 |
<|im_start|>user
The rate of a certain chemical reaction is directly proportional to the square of the concentration of chemical A present and inversely proportional to the concentration of chemical B present. If the concentration of chemical B is increased by 90%, which of the following is closest to the percent chang... | 19,638 |
<|im_start|>user
Out of 40 applicants to a law school, 15 majored in political science, 20 had a grade point average higher than 3.0, and 10 did not major in political science and had a GPA equal to or lower than 3.0. How many T applicants majored in political science and had a GPA higher than 3.0?
Answer Choices: (A) ... | 46,041 |
<|im_start|>user
What are the three ways to control the transcription of an operon?
Answer choice: (A) repressive, activator, inducible (B) hormonal, repressive, activator, (C) repressive, activator, spontaneous (D) transparent , activator , inducible<|im_end|>
<|im_start|>assistant
<think>
</think>
16.2 Prokaryotic ... | 5,046 |
<|im_start|>user
The average monthly salary of 25 employees in an organisation is Rs. 2500. If the manager's salary is added, then the average salary increases by Rs. 200. What is the manager's monthly salary?
Answer Choices: (A) Rs.7700 (B) Rs.3618 (C) Rs.3600 (D) Rs.3619 (E) Rs.3610<|im_end|>
<|im_start|>assistant
<t... | 3,810 |
<|im_start|>user
A bag contains 3 red and 2 black ball. Another bag contains 4 red and 5 black balls. A ball is drawn from the first bag and is placed in the second. A ball is then drawn from the second. What is the probability that this draw of red ball is due to the drawing of red ball from the first bag ?
Answer Cho... | 67,476 |
<|im_start|>user
1 man or 2 women or 3 boys can do a work in 44days. Then in how many days will 1man, 1woman and 1 boy do the work?
Answer Choices: (A) 20days (B) 24days (C) 30days (D) 15days (E) 10days<|im_end|>
<|im_start|>assistant
<think>
</think>
number of days = 44*1*2*3/(1*2 + 2*3 + 1*3) = 24days
The answer is... | 20,315 |
<|im_start|>user
In a recent survey at a local deli, it was observed that 3 out of 5 customers bought a bagel and 5 out of 7 customers bought a coffee. Some customers bought both. If 6 customers are selected, what are the chances that at least 1 customer bought a coffee and a bagel?
Answer Choices: (A) 27/343 (B) 3/7 (... | 85,110 |
<|im_start|>user
Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is:
Answer Choices: (A) 3/8 (B) 3/2 (C) 3/6 (D) 3/1 (E) 3/7<|im_end|>
<|im_start|>assistant
<think>
</think>
Let ... | 31,232 |
<|im_start|>user
the sum of series represented as
1/(1*5) + 1/(5*9) + 1/(9*13) +..... + 1/(221*225) is
Answer Choices: (A) 28/221 (B) 56/221 (C) 56/225 (D) 54/225 (E) none of these<|im_end|>
<|im_start|>assistant
<think>
</think>
1/(1*5) + 1/(5*9) + 1/(9*13) +..... + 1/(221*225)
=(1/4)*[(5-1)/(1*5) + (9-5)/(5*9) + (1... | 87,171 |
<|im_start|>user
The length of rectangle is thrice its breadth and its perimeter is 96 m, find the area of the rectangle?
Answer Choices: (A) 432 (B) 212 (C) 252 (D) 992 (E) 212<|im_end|>
<|im_start|>assistant
<think>
</think>
2(3x + x) = 96
l = 36 b = 12
lb = 36 * 12 = 432
The answer is A<|endoftext|> | 27,583 |
<|im_start|>user
A box contains 12 pairs of shoes (24 shoes in total). If two shoes are selected at random, what it is the probability that they are matching shoes?
Answer Choices: (A) 1/190 (B) 1/23 (C) 1/19 (D) 1/10 (E) 1/9<|im_end|>
<|im_start|>assistant
<think>
</think>
The problem with your solution is that we d... | 94,501 |
<|im_start|>user
What is the name given to the use of controlled nuclear fusion as an energy source?
Answer choice: (A) generator power (B) half-life (C) thermonuclear power (D) fossil fuel<|im_end|>
<|im_start|>assistant
<think>
</think>
32.5 Fusion While basking in the warmth of the summer sun, a student reads of t... | 7,578 |
<|im_start|>user
A shopkeeper sells 300 metres of cloth for Rs. 18000 at a loss of Rs.5 per metre. Find his cost price for one metre of cloth?
Answer Choices: (A) 12 (B) 27 (C) 29 (D) 50 (E) 65<|im_end|>
<|im_start|>assistant
<think>
</think>
SP per metre = 18000/300 = Rs. 60 Loss per metre = Rs. 5 CP per metre = 60 ... | 575 |
<|im_start|>user
If y exceeds x by 20%, then x is less than y by?
Answer Choices: (A) 16 2/9% (B) 16 3/3% (C) 16 2/3% (D) 12 2/3% (E) 16 1/3%<|im_end|>
<|im_start|>assistant
<think>
</think>
X=100 y=120
120------20
100-------? => 16 2/3%
The answer is C<|endoftext|> | 31,615 |
<|im_start|>user
What prohibits knocking out genes?
Answer choice: (A) ethical considerdations (B) genetic considerdations (C) professional considerations (D) moral considerdations<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is A<|endoftext|> | 10,676 |
<|im_start|>user
A boat crossed a lake from North to South at the speed of 6 km/h, entered a river and covered twice as much distance going upstream at 3 km/h. It then turned around and stopped at the south shore of the lake. If it averaged 5 km/h that day, what was its approximate downstream speed?
Answer Choices: (A)... | 27,377 |
<|im_start|>user
Last Sunday a certain store sold copies of Newspaper A for $1.00 each and copies of Newspaper B for $1.25 each, and the store sold no other newspapers that day. If r percent of the store's revenues from newspapers sales was from Newspaper A and if j percent of the newspapers that the store sold were co... | 76,041 |
<|im_start|>user
If the number 97215 * 6 is completely divisible by 11, then the smallest whole number in place of * will be:
Answer Choices: (A) 3 (B) 1 (C) 2 (D) 5 (E) 4<|im_end|>
<|im_start|>assistant
<think>
</think>
Given number = 97215x6
(6 + 5 + 2 + 9) - (x + 1 + 7) = (14 - x), which must be divisible by 11.
x... | 92,364 |
<|im_start|>user
Very large stars eventually become what extremely dense space regions, which are so dense that no light can escape from them?
Answer choice: (A) worm holes (B) black holes (C) dark matter (D) moons<|im_end|>
<|im_start|>assistant
<think>
</think>
The largest-mass stars become black holes . These extr... | 8,157 |
<|im_start|>user
A theater box office sold an average (arithmetic mean) of 64 tickets per staff member to a particular movie. Among the daytime staff, the average number sold per member was 76, and among the evening staff, the average number sold was 60. If there are no other employees, what was the ratio of the number... | 8,971 |
<|im_start|>user
In 100 m race, A covers the distance in 36 seconds and B in 45 seconds. In this race A beats B by:
Answer Choices: (A) 20 m (B) 22 m (C) 32 m (D) 40 m (E) 30 m<|im_end|>
<|im_start|>assistant
<think>
</think>
Distance covered by B in 9 sec. =(100/45 x 9) m = 20m
THEREFORE - A beats B by 20 metres.
Th... | 59,112 |
<|im_start|>user
If x+y=4 and x2y3 + y2x3=36, what is the value of xy?
Answer Choices: (A) 1 (B) 2 (C) 3 (D) 4 (E) 5<|im_end|>
<|im_start|>assistant
<think>
</think>
xy=3
As x+y=4
x2y3+y2x3=36
x2y2(y+x)=36
Substituting x+y
x2y2=4
xy=4
The answer is D<|endoftext|> | 96,849 |
<|im_start|>user
What is the term for a small organelle where proteins are made?
Answer choice: (A) atom (B) capsule (C) ovary (D) ribosome<|im_end|>
<|im_start|>assistant
<think>
</think>
A ribosome is a small organelle where proteins are made. It’s like a factory in the cell. It gathers amino acids and joins them t... | 10,112 |
<|im_start|>user
If abc = ab^3 = 180 where a, b and c are positive integers, what is the value of `c’?
Answer Choices: (A) 0 (B) 1 (C) 2 (D) 3 (E) 4<|im_end|>
<|im_start|>assistant
<think>
</think>
abc = a(b^3) = 180
on solving abc = a(b^3) we get c = b^2
and for a(b^3) = 180 , there is only one possibility a = 180 a... | 77,995 |
<|im_start|>user
If [[x]] = x^2 + 2x + 4, what is the value of [[4]]?
Answer Choices: (A) 3 (B) 9 (C) 15 (D) 19 (E) 28<|im_end|>
<|im_start|>assistant
<think>
</think>
[[x]] = x^2 + 2x + 4
[[4]] = 4^2 + 2*4 + 4 = 28. Option E
The answer is E<|endoftext|> | 18,863 |
<|im_start|>user
A mixture contains alcohol and water in the ratio 4 : 3. If 5 litres of water is added to the mixture, the ratio becomes 4: 5. Find the quantity of alcohol in the given mixture
Answer Choices: (A) 15 litres (B) 10 litres (C) 30 litres (D) 22 litres (E) 8 litres<|im_end|>
<|im_start|>assistant
<think>
... | 10,747 |
<|im_start|>user
If 20 men can build a wall 112 metres long in 6 days, what length of a similar wall can be built by 35 men in 3 days?
Answer Choices: (A) 16mtr. (B) 52mtr (C) 70mtr. (D) 78mtr. (E) 98mtr.<|im_end|>
<|im_start|>assistant
<think>
</think>
20 men is 6 days can build 112 metres
35 men in 3 days can build... | 77,000 |
<|im_start|>user
How many minutes does the minute hand gain in every one hour?
Answer Choices: (A) 55 (B) 60 (C) 65 (D) No gain (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
55
The answer is A<|endoftext|> | 51,869 |
<|im_start|>user
Ravi can do a piece of work in 50 days while Prakash can do it in 75 days. In how many days will they finish it together?
Answer Choices: (A) 30 days (B) 35 days (C) 25 days (D) 27 days (E) 29 days<|im_end|>
<|im_start|>assistant
<think>
</think>
1/50 + 1/75 = 5/150
30/1 = 30 days
The answer is A<|en... | 55,803 |
<|im_start|>user
The mean of 50 observations was 36. It was found later that an observation 44 was wrongly taken as 23. The corrected new mean is
Answer Choices: (A) 35.22 (B) 36.12 (C) 36.22 (D) 36.42 (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution
Correct sum = (36x50+44-23)
= 1821.
∴ Correct m... | 37,987 |
<|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... | 524 |
<|im_start|>user
A group of n students can be divided into equal groups of 4 with 1 student left over or equal groups of 5 with 4 students left over. What is the sum of the two smallest possible values of n?
Answer Choices: (A) 30 (B) 34 (C) 38 (D) 42 (E) 46<|im_end|>
<|im_start|>assistant
<think>
</think>
n = 4k+1 =... | 61,733 |
<|im_start|>user
Community interactions are important factors in what?
Answer choice: (A) natural process (B) natural change (C) natural selection (D) natural resources<|im_end|>
<|im_start|>assistant
<think>
</think>
A community is the biotic component of an ecosystem. It consists of the populations of all the speci... | 3,733 |
<|im_start|>user
A ship can travel with aspeed of 10km/hr in still water. If the speed of the stream is 10km/hr, find the time taken by the boat to go 60km downstream.
Answer Choices: (A) 3 hrs (B) 5 hrs (C) 6 hrs (D) 7 hrs (E) 9 hrs<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed downstream = (10 + 10) km/hr ... | 72,006 |
<|im_start|>user
If p+5/q is a prime integer, which of the following must be true?
1.q=5p
2.q is a prime integer
3. p+5/q is ODD.
Answer Choices: (A) None (B) 1 only (C) 2 only (D) 1 and 2 only (E) 2 and 3 only.<|im_end|>
<|im_start|>assistant
<think>
</think>
I would pick up numbers and do .
i hope the question is (... | 23,351 |
<|im_start|>user
What is the temperature at which a substance freezes known as?
Answer choice: (A) absolute zero (B) freezing point (C) zero point (D) drop point<|im_end|>
<|im_start|>assistant
<think>
</think>
The freezing point of a substance is the temperature at which it freezes. The freezing point of pure water ... | 5,471 |
<|im_start|>user
One ton has 2500 pounds, and one pound has 16 ounces. How many packets containing wheat weighing 16 pounds and 4 ounces each would totally fill a gunny bag of capacity 13 tons?
Answer Choices: (A) 2000 (B) 1700 (C) 2350 (D) 2500 (E) 8000<|im_end|>
<|im_start|>assistant
<think>
</think>
16 pounds... | 84,689 |
<|im_start|>user
Two cards are drawn at random from a pack of 52 cards.what is the probability that either both are black or both are queen?
Answer Choices: (A) 32/200 (B) 55/221 (C) 55/200 (D) 12/130 (E) 45/200<|im_end|>
<|im_start|>assistant
<think>
</think>
n(S)=52C2=52*51/2*1
=1326
A = event of getting black card... | 9,960 |
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