text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
|---|---|
<|im_start|>user
The total population of a country is 294000, out of which 150000 are males. Out of every 100 males, 98 can read and write, but only 53% of the total population can do so. Find the percentage of women who can read and write.
Answer Choices: (A) 6.125 % (B) 5.125 % (C) 6.000 % (D) 4.125 % (E) None<|im_en... | 80,081 |
<|im_start|>user
In what time a sum of money double itself at 5% per annum simple interest?
Answer Choices: (A) 33 1/8% (B) 20% (C) 83 1/3% (D) 33 4/3% (E) 73 1/3%<|im_end|>
<|im_start|>assistant
<think>
</think>
P = (P*5*R)/100
R = 20%
The answer is B<|endoftext|> | 89,337 |
<|im_start|>user
Two cards are selected at random from 10 cards numbered 1 to 10. Find the probability that the sum is odd if two cards are drawn together.
Answer Choices: (A) 11 (B) 88 (C) 77 (D) 19 (E) 17<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is C<|endoftext|> | 92,134 |
<|im_start|>user
Each term of a certain sequence is 3 less than the previous term. The first term of this sequence is 15. If the sum of the first n terms of the sequence is n, what is the value of positive integer n?
Answer Choices: (A) 1 (B) 11 (C) 15 (D) 19 (E) 47<|im_end|>
<|im_start|>assistant
<think>
</think>
We... | 27,456 |
<|im_start|>user
What fertilizes an egg during sexual reproduction?
Answer choice: (A) sperm (B) gametes (C) mucus (D) cytoplasm<|im_end|>
<|im_start|>assistant
<think>
</think>
Image copyright James Steidl, 2014. During sexual reproduction, a sperm fertilizes an egg . Used under license from Shutterstock. com.
The a... | 10,224 |
<|im_start|>user
A number consists of 3 digits whose sum is 10. The middle digit is equal to the sum of the other two and the number will be increased by 99 if its digits are reversed. The number is
Answer Choices: (A) 145 (B) 185 (C) 253 (D) 370 (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution
Let ... | 17,805 |
<|im_start|>user
A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If three marbles are picked at random, what is the probability that they are all blue?
Answer Choices: (A) 1/455 (B) 2/455 (C) 1/91 (D) 4/455 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Given that there... | 79,953 |
<|im_start|>user
What is the lowest positive integer that is divisible by each of the integers 1 through 7, inclusive?
Answer Choices: (A) 420 (B) 840 (C) 1,260 (D) 2,520 (E) 5,040<|im_end|>
<|im_start|>assistant
<think>
</think>
The integer should be divisible by: 2, 3, 4(=2^2), 5, 6(=2*3), and 7. The least common m... | 27,374 |
<|im_start|>user
Group A has 3 boys and 4 girls, group B has 2 boys and 2 girls and group C has 4 boys and 4 girls. One student is selected from each of the group. Find the probability that one girl and two boys are among the three selected?
Answer Choices: (A) 13/4 (B) 19/28 (C) 9/15 (D) 29/35 (E) 77/27<|im_end|>
<|im... | 82,910 |
<|im_start|>user
The average amount with a group of seven numbers is Rs. 30. If the newly joined member has Rs. 60 with him, what was the average amount with the group before his joining the group?
Answer Choices: (A) s. 25.6 (B) s. 25 (C) s. 16.6 (D) s. 26 (E) s. 25.6<|im_end|>
<|im_start|>assistant
<think>
</think>
... | 2,785 |
<|im_start|>user
What is split to produce nuclear energy?
Answer choice: (A) molecules (B) atoms (C) chemicals (D) protons<|im_end|>
<|im_start|>assistant
<think>
</think>
Nuclear energy is produced by splitting atoms. It also produces radioactive wastes that are very dangerous for many years.
The answer is B<|endoft... | 6,633 |
<|im_start|>user
Find the number of solutions for 3x+4y=60, if x and y are positive integers
Answer Choices: (A) 1 (B) 2 (C) 3 (D) 4 (E) 5<|im_end|>
<|im_start|>assistant
<think>
</think>
3x+4y=60
=>x=(60-4y)/3
as x and y are positive integers, put y=1,2,3,... & find x
y=3,x=16
y=6,x=12
y=9,x=8
y=12,x=4
(x,y)=(4,12),... | 15,116 |
<|im_start|>user
What is the positive difference between the sum of the squares of the first 5 positive integers and the sum of the prime numbers between the first square and fourth square?
Answer Choices: (A) 11 (B) 12 (C) 13 (D) 14 (E) 15<|im_end|>
<|im_start|>assistant
<think>
</think>
Forget conventional ways of ... | 56,115 |
<|im_start|>user
Find the unit's digit in 264^102+264^103
Answer Choices: (A) 0 (B) 2 (C) 3 (D) 4 (E) 5<|im_end|>
<|im_start|>assistant
<think>
</think>
Required unit's digit = unit's digit in 4102+4103.4102+4103.
Now, 4242 gives unit digit 6.
⇒ 41024102 gives unit digit 6.
⇒ 41034103 gives unit digit of the product ... | 53,477 |
<|im_start|>user
The perimeter of a triangle is 28 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle?
Answer Choices: (A) 76 cm2 (B) 15 cm2 (C) 76 cm2 (D) 17 cm2 (E) 35 cm2<|im_end|>
<|im_start|>assistant
<think>
</think>
Area of a triangle = r * s
Where r is the inradius and s is the se... | 15,513 |
<|im_start|>user
A person travels from K to L a speed of 50 km/hr and returns by increasing his speed by 50%. What is his average speed for both the trips ?
Answer Choices: (A) 50 kmph (B) 70 kmph (C) 60 kmph (D) 80 kmph (E) 10 kmph<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Speed on return trip = ... | 9,172 |
<|im_start|>user
A factory produces 6000 toys per week. If the workers at this factory work 4 days a week and if these workers make the same number of toys everyday, how many toys are produced each day?
Answer Choices: (A) 4436 toys (B) 1500 toys (C) 6113 toys (D) 2354 toys (E) 1375 toys<|im_end|>
<|im_start|>assistant... | 48,214 |
<|im_start|>user
An art gallery owner is hanging paintings for a new show. Of the seven paintings she has to choose from, she can only hang three on the main wall of the gallery. Assuming that she hangs as many as possible on that wall, in how many ways can she arrange the paintings?
Answer Choices: (A) 18 (B) 30 (C) 6... | 29,937 |
<|im_start|>user
Total number of boys and girls in a school is 150. If the number of boys is x, then girls become x% of the total number of students. The number of boys is
Answer Choices: (A) 50 (B) 60 (C) 70 (D) 80 (E) 90<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Clearly,
x% of 150 = 150 - x [as ... | 24,104 |
<|im_start|>user
Difference between the length & breadth of a rectangle is 23 m. If its perimeter is 206 m, then its area is?? We have: (l - b) = 23 and 2(l + b) = 206 or (l + b) = 103?
Answer Choices: (A) 2500 m^2 (B) 2510 m^2 (C) 2520 metre sq (D) 2540 m^2 (E) 2590 m^2<|im_end|>
<|im_start|>assistant
<think>
</think... | 91,710 |
<|im_start|>user
If Josh, Doug, and Brad have a total of $68 between them, and Josh has two times as much money as Brad but only three-fourths as much as Doug, how much money does Brad have?
Answer Choices: (A) $10 (B) $24 (C) $26 (D) $12 (E) $36<|im_end|>
<|im_start|>assistant
<think>
</think>
Josh+Doug+Brad = 68 ; ... | 88,996 |
<|im_start|>user
How many different 6-letter sequences are there that consist of 1A, 20B's and 15C's ?
Answer Choices: (A) 6 (B) 60 (C) 120 (D) 360 (E) 720<|im_end|>
<|im_start|>assistant
<think>
</think>
How many different 6-letter sequences are there that consist of 1 A, 20B's, and 15 C's?
(A) 6
(B) 60
(C) 120
(D) ... | 43,482 |
<|im_start|>user
How many multiples of 7 are there between 9 and 89, 9 and 89 inclusive ?
Answer Choices: (A) 11 (B) 17 (C) 16 (D) 13 (E) 12<|im_end|>
<|im_start|>assistant
<think>
</think>
7 multiples are ...14,21,28,35,42,49,56,63,70,77,84,
...
,...,
the answer is =11
The answer is A<|endoftext|> | 53,850 |
<|im_start|>user
A family has two children. find the probability that both the children are girls given that at least
one of them is a girl?
Answer Choices: (A) 1/5 (B) 1/3 (C) 3/7 (D) 2/7 (E) 3/7<|im_end|>
<|im_start|>assistant
<think>
</think>
Let b stand for boy and g for girl. The sample space of the experiment i... | 85,291 |
<|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... | 3,480 |
<|im_start|>user
A man has Rs. 544 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?
Answer Choices: (A) 80 (B) 90 (C) 95 (D) 98 (E) 102<|im_end|>
<|im_start|>assistant
<think>
</think>
Let ... | 3,769 |
<|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... | 2,341 |
<|im_start|>user
The area of a triangle will be when a = 2m, b = 5m, c = 7m, a, b, c being lengths of respective sides?
Answer Choices: (A) 2 (B) 7 (C) 5 (D) 3 (E) 4<|im_end|>
<|im_start|>assistant
<think>
</think>
S = (2 + 5 + 7)/2
= 7
The answer is B<|endoftext|> | 17,911 |
<|im_start|>user
Rahul is a cashew merchant in Kerala. He has cashews in sealed wooden boxes of 10kg
each. The price of the cashew increases by Rs.20 per kg for every year, but at the same
time, 10% of the cashews are eaten by rodents every year. If the price of a 1 kg of fresh
cashew is Rs.100, what is the change in h... | 77,907 |
<|im_start|>user
What is the greatest number of identical bouquets that can be made out of 21 white and 91 red tulips if no flowers are to be left out? (Two bouquets are identical whenever the number of red tulips in the two bouquets is equal and the number of white tulips in the two bouquets is equal)
Answer Choices: ... | 16,802 |
<|im_start|>user
How many oxygen ions make up an ozone molecule?
Answer choice: (A) three (B) eight (C) one (D) five<|im_end|>
<|im_start|>assistant
<think>
</think>
Oxygen is needed to make ozone. Ozone is a molecule made of three oxygen ions. Ozone in the upper atmosphere blocks harmful solar radiation from reachin... | 4,812 |
<|im_start|>user
The average temperature for Monday, Tuesday, Wednesday and Thursday was 48 degrees and for Tuesday, Wednesday, Thursday and Friday was 46 degrees. If the temperature on Monday was 42 degrees. Find the temperature on Friday ?
Answer Choices: (A) 34 (B) 66 (C) 25 (D) 18 (E) 12<|im_end|>
<|im_start|>assis... | 15,712 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Rhyming words are words that end with the same sound.
The words tip and slip rhyme. They both end with the same sound.
The words meet and treat also rhyme. They both end with the same sound, even though the sound has two dif... | 3,883 |
<|im_start|>user
A and B together can complete a piece of work in 4 days.If A alone can complete the same work in 12 days, in how many days can B alone complete that work?
Answer Choices: (A) 5 (B) 7 (C) 6 (D) 4 (E) 8<|im_end|>
<|im_start|>assistant
<think>
</think>
A and B's one day work=1/4
A's 1 day's work=1/12
B'... | 90,605 |
<|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) 90% increase (B) 45% increase (C) 9% decrease (D) Same as before (E) NONE<|im_end|>
<|im_start|>assistant
<think>
</think>
(30 * 30)/100 = 9% decrease
The answer is D<... | 37,753 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Question:
Complete the sentence.
Cesar Chavez came from () family.
Answer Choices: (A) an African American (B) a Mexican American (C) a Chinese American (D) a French American<|im_end|>
<|im_start|>assistant
<think>
</thin... | 211 |
<|im_start|>user
The ratio of two numbers is 3:4 and their sum is 35. The greater of the two numbers is?
Answer Choices: (A) 12 (B) 20 (C) 16 (D) 17 (E) 19<|im_end|>
<|im_start|>assistant
<think>
</think>
3:4
Total parts = 7
= 7 parts --> 35 (7 × 5 = 35)
= 1 part ---->5 (1 × 5 = 5)
= The greater of the two number i... | 92,556 |
<|im_start|>user
4 professors and 6 students are being considered for membership on a supervisory committee which must consist of 2 people. If the committee has to include at least 2 professor, how many ways can this committee be formed?
Answer Choices: (A) 36 (B) 60 (C) 72 (D) 80 (E) 64<|im_end|>
<|im_start|>assistant... | 35,617 |
<|im_start|>user
Dimitri weighs x pounds more than Allen weighs. Together, Allen and Dimitri weigh a total of 3y-y pounds. Which of the following represents Allen’s weight?
Answer Choices: (A) y - x/2 (B) 2x - y/2 (C) (y - x) /2 (D) y - 2x (E) 2x - y<|im_end|>
<|im_start|>assistant
<think>
</think>
These type of mult... | 88,347 |
<|im_start|>user
What percent of a day is 12 hours?
Answer Choices: (A) 12×1/2% (B) 50% (C) 18×2/3% (D) 22×1/2% (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution
Required percentage = (12/24×100)%
= 50%.
The answer is B<|endoftext|> | 38,771 |
<|im_start|>user
When an amount was distributed among 14 boys, each of them got rs 80 more than the amount received by each boy when the same amount is distributed equally among 18 boys. What was the amount?
Answer Choices: (A) 5000 (B) 5030 (C) 5010 (D) 5040 (E) 5020<|im_end|>
<|im_start|>assistant
<think>
</think>
... | 91,463 |
<|im_start|>user
In a cinema hall for the matinee show which started at 2.30 pm and ended at 5.30 pm the vehicle parking lot had only three wheelers (auto rickshaws) and four wheelers. Today the wheels of the vehicles parked was counted and found to be 240. What could be the number of three wheelers parked therein?
Ans... | 56,298 |
<|im_start|>user
A sum of Rs. 125000 amounts to Rs. 17500 in 4 years at the rate of simple interest. What is the rate of interest?
Answer Choices: (A) 10% (B) 4% (C) 5% (D) 6% (E) 7%<|im_end|>
<|im_start|>assistant
<think>
</think>
S.I. = (17500 - 12500) = Rs. 5000\
Rate = (100 * 5000) / (12500 * 4) = 10%
The answer ... | 75,649 |
<|im_start|>user
If a square mirror has a 20-inch diagonal, what is the approximate perimeter R of the mirror, in inches?
Answer Choices: (A) 40 (B) 60 (C) 80 (D) 100 (E) 120<|im_end|>
<|im_start|>assistant
<think>
</think>
if you draw the square and diagonal inside the square. u can see square becomes part of t... | 13,582 |
<|im_start|>user
A box contains 10 tablets of medicine A and 13 tablets of medicine B. What is the least number of tablets that should be taken from the box to ensure that at least two tablets of each kind are among the extracted.
Answer Choices: (A) 12 (B) 15 (C) 17 (D) 19 (E) 21<|im_end|>
<|im_start|>assistant
<think... | 64,386 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
The atmosphere is the layer of air that surrounds Earth. Both weather and climate tell you about the atmosphere.
Weather is what the atmosphere is like at a certain place and time. Weather can change quickly. For example, th... | 269 |
<|im_start|>user
What is the smallest number which when increased by 5 is completely divisible by 8, 11 and 24?
Answer Choices: (A) 264 (B) 259 (C) 269 (D) 270 (E) 282<|im_end|>
<|im_start|>assistant
<think>
</think>
LCM(8,11,24)=24x11=264
So the least divisible number is 264, and the number we are looking for is 259... | 46,732 |
<|im_start|>user
After fluid collects in nephron tubules in the kidney, where does it move to?
Answer choice: (A) the uterus (B) the prostate (C) the spleen (D) the bladder<|im_end|>
<|im_start|>assistant
<think>
</think>
The location of nephrons in the kidney. The fluid collects in the nephron tubules and moves to t... | 2,082 |
<|im_start|>user
If the diagonal of a rectangle is 17 cm long and its perimeter is 46 cm, find the area of the rectangle.
Answer Choices: (A) 127 cm^2 (B) 125 cm^2 (C) 120 cm^2 (D) 102 cm^2 (E) None of them<|im_end|>
<|im_start|>assistant
<think>
</think>
Let length = x and breadth = y. Then,
2 (x + y) = 46 or x + y ... | 62,454 |
<|im_start|>user
2 log10 5 + log10 8 – ½ log10 4 = ?
Answer Choices: (A) 2 (B) 4 (C) 2 + 2 log10 2 (D) 4 - 4 log10 2 (E) 6<|im_end|>
<|im_start|>assistant
<think>
</think>
2 log10 5 + log10 8 – ½ log10 4
= log10 (52) + log10 8 - log10 (41/2)
= log10 25 + log10 8 - log10 2 = log10 (25*8)/2
= log10 100 = 2
The answer i... | 81,256 |
<|im_start|>user
A train running at the speed of 110 km/hr crosses a pole in 9 sec. What is the length of the train?
Answer Choices: (A) 298 m (B) 275m (C) 208 m (D) 988 m (E) 299 m<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = 110 * 5/18 = 275/9 m/sec
Length of the train = speed * time =275/9 * 9
= 275 m
... | 26,437 |
<|im_start|>user
If square-root of 15 is 3.87. Then find the value of square-root of (5/3)
Answer Choices: (A) 1.29 (B) 1.39 (C) 1.49 (D) 1.59 (E) 1.69<|im_end|>
<|im_start|>assistant
<think>
</think>
=> root 5/ root 3 = (root 5/ root 3)*(root 3/ root 3)
= root 15/ root 9
= 3.87/3
= 1.29
The answer is A<|endoftext|> | 1,781 |
<|im_start|>user
A number is four less than six times the other number. If the sum of both the number is 38, what are the numbers?
Answer Choices: (A) 6,32 (B) 7,31 (C) 5,33 (D) 4,34 (E) None of the above<|im_end|>
<|im_start|>assistant
<think>
</think>
that numbers are x,6x-4
so sum =x+6x-4=38
7x=42 ==> x=6
another ... | 32,395 |
<|im_start|>user
If 4 (A's capital) = 6 (B's capital) = 10 (C's capital), then out of a profit of Rs. 682, C will receive
Answer Choices: (A) 233 (B) 381 (C) 132 (D) 287 (E) 271<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Let 4A = 6B = 1OC = k. Then, A = k/4, B = k/6, and C =k/10 .
A : B :C = k/4 : ... | 28,088 |
<|im_start|>user
A box contains four cent coins, of which two coins have heads on both their faces, one coin has tail on both its faces and the fourth coin is a normal one. A coin is picked at random and then tossed. If head is the outcome of the toss, then find the probability that the other face (hidden face) of the ... | 15,483 |
<|im_start|>user
What vesicles store neurotransmitters?
Answer choice: (A) hydrophobic (B) synaptic (C) dendritic (D) Golgi apparatus<|im_end|>
<|im_start|>assistant
<think>
</think>
Secretory Vesicles contain materials that are to be excreted from the cell, such as wastes or hormones . Secretory vesicles include syn... | 437 |
<|im_start|>user
How many of the positive divisors of 240 are also multiples of 4 not including 240?
Answer Choices: (A) 6 (B) 8 (C) 9 (D) 11 (E) 12<|im_end|>
<|im_start|>assistant
<think>
</think>
240 = 2^4 * 3 * 5 = (4) * 2^2 * 3 * 5
Besides (4), the exponents of 2, 3, and 5 are 2, 1, and 1.
There are (2+1)(1+1)(1+... | 72,411 |
<|im_start|>user
Adam borrowed some money at the rate of 6% p.a. for the first 2years, at the rate of 9% p.a. for the next three years, and at the rate of 14% p.a. for the period beyond five years. If he pays a total interest of $ 11400 at the end of 9years, how much money did he borrow?
Answer Choices: (A) $12000 (B) ... | 32,232 |
<|im_start|>user
A person's present age is two-fifth of the age of his mother. After 8 years, he will be one-half of the age of his mother. How old id the mother at present?
Answer Choices: (A) 50 (B) 40 (C) 20 (D) 30 (E) 10<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the mother's present age be x years. The... | 83,433 |
<|im_start|>user
The base of a right triangle is 8 and hypotenuse is 10. Its area is?
Answer Choices: (A) 12 (B) 80 (C) 59 (D) 24 (E) 25<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
h2=(10)2-(8)2-(6)2->h=6
1/2*8*6=24
The answer is D<|endoftext|> | 6,623 |
<|im_start|>user
The population of a town is 10000. It increases annually at the rate of 20% p.a. What will be its population after 3 years?
Answer Choices: (A) 17300 (B) 17350 (C) 17280 (D) 17500 (E) 17600<|im_end|>
<|im_start|>assistant
<think>
</think>
Formula :
( After =100 denominator
Ago = 100 numerator)
10000 ... | 23,585 |
<|im_start|>user
What is the greatest possible length which can be used to measure exactly the lengths 8 m, 4 m 20 cm and 12 m 20 cm?
Answer Choices: (A) 20 cm (B) 23 cm (C) 25cm (D) 10 cm (E) 28 cm<|im_end|>
<|im_start|>assistant
<think>
</think>
Required length = HCF of 800 cm, 420 cm, 1220 cm = 20 cm
The answer is... | 5,828 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
An object's speed tells you how fast the object is moving. Speed depends on both distance and time.
Distance tells you how far the object has moved. One unit used to measure distance is the kilometer.
Time tells you how long... | 6,078 |
<|im_start|>user
In the xy-plane, a triangle has vertices (0,0), (4,0) and (4,9). If a point (a,b) is selected at random from the triangular region, What is the probability that a-b>0?
Answer Choices: (A) 1/5 (B) 1/3 (C) 1/2 (D) 2/9 (E) 4/5<|im_end|>
<|im_start|>assistant
<think>
</think>
The area of the right triang... | 49,227 |
<|im_start|>user
A portion of the 85% solution of chemicals was replaced with an equal amount of 30% solution of chemicals. As a result, 40% solution of chemicals resulted. What part of the original solution was replaced?
Answer Choices: (A) 5/11 (B) 6/11 (C) 7/11 (D) 9/11 (E) 13/6<|im_end|>
<|im_start|>assistant
<thin... | 31,583 |
<|im_start|>user
If (x – 2)^2 = 144, which of the following could be the value of 2x?
Answer Choices: (A) –26 (B) –22 (C) –11 (D) 12 (E) -20<|im_end|>
<|im_start|>assistant
<think>
</think>
You can also get to the answer by backsolving using answer choices
Starting with x = -10
(x – 2)^2 = 144
(-10– 2)^2 = 144 =====>... | 27,649 |
<|im_start|>user
What are tiny, hair like projections?
Answer choice: (A) cilia (B) fuzz (C) spinicles (D) actin<|im_end|>
<|im_start|>assistant
<think>
</think>
Many mucous membranes are also covered with cilia. These are tiny, hair-like projections. Cilia move in waves and sweep mucus and trapped pathogens toward b... | 7,431 |
<|im_start|>user
What structures of the cardiovascular system help regulate body processes by either constricting or dilating?
Answer choice: (A) muscles (B) blood vessels (C) cartilage (D) capillaries<|im_end|>
<|im_start|>assistant
<think>
</think>
Blood vessels help regulate body processes by either constricting (... | 1,587 |
<|im_start|>user
Which of the following is closest to 1/8+1/88+1/888
Answer Choices: (A) 1/8 (B) 1/2.5 (C) 1/5 (D) 1/7.3 (E) 1/9<|im_end|>
<|im_start|>assistant
<think>
</think>
1/8+1/88+1/888=0.125+0.01136+0.001126=0.137486=1/7.3
The answer is D<|endoftext|> | 52,520 |
<|im_start|>user
If Leon's income is Rs 16000, calculate his savings given that his income and expenditure are in the ratio 8:3.?
Answer Choices: (A) Rs.10000 (B) Rs.7000 (C) Rs.2500 (D) Rs.2450 (E) Rs.3000<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the income and the expenditure of the person be Rs.8x and ... | 24,172 |
<|im_start|>user
How many of the positive factors of 19 are not factors of 29?
Answer Choices: (A) 0 (B) 1 (C) 2 (D) 3 (E) 4<|im_end|>
<|im_start|>assistant
<think>
</think>
Factors of 19 - 1, 19
factors of 29- 1, 29
Comparing both, we have three factors of 19 which are not factors of 29- 19,
The answer is B<|endofte... | 43,836 |
<|im_start|>user
The ratio between the length and the breadth of a rectangular park is 2 : 3 If a man cycling along the boundary of the park at the speed of 10 km/hr completes one round in 18 min, then the area of the park (in sq. m) is?
Answer Choices: (A) 3000 m (B) 9000 m (C) 540000 m (D) 10000 m (E) 54000 m<|im_end... | 82,705 |
<|im_start|>user
Find the value of y from the given equation. 9^y = 3^12, what is y?
Answer Choices: (A) 3 (B) 5 (C) 7 (D) 8 (E) 6<|im_end|>
<|im_start|>assistant
<think>
</think>
3^2y = 3^12
2y=12, therefore y=6
E
The answer is E<|endoftext|> | 70,126 |
<|im_start|>user
A train speeds past a pole in 23 seconds and a platform 125 m long in 33 seconds. Its length is?
Answer Choices: (A) 275 (B) 287.5 (C) 288 (D) 233.5 (E) 245.6<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the length of the train be x meters and its speed be y m/sec.
They, x / y = 23 => y = x/2... | 46,886 |
<|im_start|>user
In an election between the two candidates, the candidates who gets 70% of votes polled is winned by 280 vote’s majority. What is the total number of votes polled?
Answer Choices: (A) 750 (B) 700 (C) 800 (D) 850 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Note: majo... | 44,199 |
<|im_start|>user
What is the greatest of 3 consecutive integers whose sum is 21 ?
Answer Choices: (A) 6 (B) 7 (C) 8 (D) 9 (E) 5<|im_end|>
<|im_start|>assistant
<think>
</think>
The sum of three consecutive integers can be written as n + (n + 1) + (n + 2) = 3n + 3
If the sum is 24, we need to solve the equation 3n + 3... | 39,854 |
<|im_start|>user
By selling an article at Rs.700, a shopkeeper makes a profit of 25%. At what price should he sell the article so as to make a loss of 25%?
Answer Choices: (A) s.600 (B) s.480 (C) s.500 (D) s.450 (E) s.420<|im_end|>
<|im_start|>assistant
<think>
</think>
SP = 700
Profit = 25%
CP = (SP)*[100/(100+P)]
=... | 10,056 |
<|im_start|>user
0.41 + 21.4 + 6.3 + 280=?
Answer Choices: (A) 708.71 (B) 408.71 (C) 508.71 (D) 308.71 (E) 208.71<|im_end|>
<|im_start|>assistant
<think>
</think>
Add 280.00+
21.40+
6.30+
0.41=
308.71
The answer is D<|endoftext|> | 67,489 |
<|im_start|>user
A no.when divided by 281 gives a remainder 160, what remainder will be obtainedby dividingthe same no.21?
Answer Choices: (A) 21 (B) 22 (C) 23 (D) 24 (E) 25<|im_end|>
<|im_start|>assistant
<think>
</think>
281 + 160 = 441/21 = 21 (Remainder)
A
The answer is A<|endoftext|> | 37,586 |
<|im_start|>user
Tom and Linda stand at point A. Linda begins to walk in a straight line away from Tom at a constant rate of 2 miles per hour. One hour later, Tom begins to jog in a straight line in the exact opposite direction at a constant rate of 7 miles per hour. If both Tom and Linda travel indefinitely, what is t... | 82,940 |
<|im_start|>user
If the arithmetic mean of seventy five numbers is calculated, it is 35. If each number is increased by 5, then mean of new numbers is
Answer Choices: (A) 30 (B) 35 (C) 40 (D) 50 (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Sol.
A.M. of 75 numbers = 35.
Sum of 75 numbers = (75 x 35) = 262... | 56,306 |
<|im_start|>user
On dividing a number by 5, we get 3 as remainder. What will the remainder when the square of the this number is divided by 5 ?
Answer Choices: (A) 0 (B) 5 (C) 8 (D) 9 (E) 4<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Let the number be x and on dividing x by 5, we get k as quotient a... | 61,060 |
<|im_start|>user
The tax on a commodity is diminished by 24% but its consumption is increased by 12%. Find the decrease percent in the revenue derived from it?
Answer Choices: (A) 20% (B) 18% (C) 15% (D) 12% (E) 14%<|im_end|>
<|im_start|>assistant
<think>
</think>
100 * 100 = 10000
76 * 112 = 8512
10000------- 1488
1... | 37,389 |
<|im_start|>user
A car travels at a speed of 65 miles per hour. How far will it travel in 6 hours?
Answer Choices: (A) 125 miles (B) 225 miles (C) 390 miles (D) 425 miles (E) 525 miles<|im_end|>
<|im_start|>assistant
<think>
</think>
During each hour, the car travels 65 miles. For 6 hours it will travel
65 + 65 + 65 ... | 33,268 |
<|im_start|>user
Julie decided to save a certain amount of her monthly salary each month and her salary was unchanged from month to month. If Julie 's savings by the end of the year from these monthly savings were four times the amount she spent per month, what should be the fraction of her salary that she spent each m... | 51,053 |
<|im_start|>user
What is the purpose of your body's first line of defense?
Answer choice: (A) to keep out pathogens (B) reject foreign bodies (C) fight or flight (D) heal wounds<|im_end|>
<|im_start|>assistant
<think>
</think>
Your body’s first line of defense is like a castle’s moat and walls. It keeps most pathogen... | 10,260 |
<|im_start|>user
A total of Y tourists were transported by bus to a certain museum. If there were Z tourists on each bus, which of the following expresses the number of buses used?
Answer Choices: (A) YZ (B) Y/Z (C) Z/Y (D) Y-Z (E) Z^2<|im_end|>
<|im_start|>assistant
<think>
</think>
IMHO (B)Y/Z as well !
Number... | 77,175 |
<|im_start|>user
Two cylinders of the radius in the ratio 3 : 5 and heights in the ratio 10 : 9. Then find the volumes ratio?
Answer Choices: (A) 4:5 (B) 1:5 (C) 3:5 (D) 1.5:5 (E) 2:5<|im_end|>
<|im_start|>assistant
<think>
</think>
πR(power2)H : πr(power2)h
9 × 10 : 25 × 9
90 : 225
2 : 5
The answer is E<|endoftext|> | 80,916 |
<|im_start|>user
In the graduating class of a certain college, 48 percent of the students are male and 52 percent are female. In this class 40 percent of the male and 50 percent of the female students are 25 years old or older. If one student in the class is randomly selected, approximately what is the probability that... | 55,073 |
<|im_start|>user
81,162,49,98,25,50,68
Answer Choices: (A) 126 (B) 127 (C) 129 (D) 128 (E) 136<|im_end|>
<|im_start|>assistant
<think>
</think>
81*2=162
49*2=98
25*2=50
68*2=136
The answer is E<|endoftext|> | 78,633 |
<|im_start|>user
Ann and Bob drive separately to a meeting. Ann's average driving speed is greater than Bob's avergae driving speed by one-third of Bob's average driving speed, and Ann drives twice as many miles as Bob. What is the ratio R of the number of hours Ann spends driving to the meeting to the number of hours ... | 58,703 |
<|im_start|>user
In how many ways can the letters of the word MANIFOLD be arranged so that the vowels are separated ?
Answer Choices: (A) 14400 (B) 36000 (C) 18000 (D) 24000 (E) 22200<|im_end|>
<|im_start|>assistant
<think>
</think>
We have 3 vowels: AIO and 5 consonants: MNFLD.
Consider the following case: *M*N*F*L*... | 62,188 |
<|im_start|>user
An article is bought for Rs.675 and sold for Rs.1215, find the gain percent?
Answer Choices: (A) 33 1/9% (B) 33 8/3% (C) 33 1/3% (D) 33 2/3% (E) 80%<|im_end|>
<|im_start|>assistant
<think>
</think>
675 ---- 540
100 ---- ? => 80%
The answer is E<|endoftext|> | 15,849 |
<|im_start|>user
First bunch of bananas has (1/4) again as many bananas as a second bunch. If the second bunch has 3 bananas less than the first bunch, then the number of bananas in the first bunch is
Answer Choices: (A) 9 (B) 10 (C) 12 (D) 15 (E) 17<|im_end|>
<|im_start|>assistant
<think>
</think>
x is the no.of ban... | 48,271 |
<|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... | 745 |
<|im_start|>user
In a certain sequence, the first term is 2, and each successive term is 2 more than the reciprocal of the term that immediately precedes it. What is the fifth term in this sequence?
Answer Choices: (A) 13/8 (B) 21/13 (C) 58/5 (D) 70/29 (E) 82/13<|im_end|>
<|im_start|>assistant
<think>
</think>
let fi... | 77,973 |
<|im_start|>user
If GAVE is coded as 5137 and BAT is coded as 924. How is GATE coded?
Answer Choices: (A) 5147 (B) 5247 (C) 6584 (D) 7489 (E) 9487<|im_end|>
<|im_start|>assistant
<think>
</think>
g-5 a-1 e-7 from the code gate
t - 4 from bat
The answer is A<|endoftext|> | 75,651 |
<|im_start|>user
An order was placed for the supply of a carpet whose breadth was 6 m and length was 1.44 times the breadth. What be the cost of a carpet whose length and breadth are 40% more and 25% more respectively than the first carpet. Given that the ratio of carpet is Rs. 45 per sq m?
Answer Choices: (A) Rs.4082.... | 39,946 |
<|im_start|>user
Vijay bought 160 shirts at the rate of Rs. 255 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) Rs. 321 (B) Rs. 270 (C) ... | 93,264 |
<|im_start|>user
If I walk at 4 km/h, I miss the bus by 10 minutes. If I walk at 5 km/h, I reach 5 minutes before the arrival of the bus. How far I walk to reach the bus stand ?
Answer Choices: (A) 5 km (B) 4.5 km (C) 5 1⁄4 km/h (D) Cannot be determined (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think... | 88,659 |
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