text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
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<|im_start|>user
In the Bombay Stock Exchange there are 45% female employees and thus the number of male employees is exceeded by 72. Hence the total no. of employees in the BSE is:
Answer Choices: (A) 540 (B) 720 (C) 800 (D) 550 (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution: Female employees = 4... | 34,057 |
<|im_start|>user
If it would take one machine 15 minutes to fill a large production order and another machine 20 minutes to fill the same order, how many minutes would it take both machines working together, at their respective rates, to fill the order?
Answer Choices: (A) 4 1/60 (B) 5 (C) 5 5/11 (D) 5 1/2 (E) 8 4/11<|... | 72,541 |
<|im_start|>user
What is the Compound Interest on Rs.9500 at 6% p.a. compounded half-yearly for 1 1/2 years.
Answer Choices: (A) 810.91 (B) 840.91 (C) 880.91 (D) 887.91 (E) 980.91<|im_end|>
<|im_start|>assistant
<think>
</think>
Compound interest : A = P(1 + r/n)nt
A = 10,380.91
C.I. >> 10,380.91 - 9500 >> Rs. 880.91... | 14,051 |
<|im_start|>user
7 does not occur in 1000. So we have to count the number of times it appears between 1 and 999. Any number between 1 and 999 can be expressed in the form of xyz where 0 < x, y, z < 9.
Answer Choices: (A) 150 (B) 300 (C) 275 (D) 135 (E) 451<|im_end|>
<|im_start|>assistant
<think>
</think>
1. The numbe... | 27,269 |
<|im_start|>user
The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at the speed of 13 km/hr completes one round in 8 minutes, then the area of the park (in sq. m) is
Answer Choices: (A) 345600 (B) 153400 (C) 153600 (D) 154000 (E) 154200<|im_end|... | 3,252 |
<|im_start|>user
Two employees X and Y are paid a total of Rs. 506 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week?
Answer Choices: (A) s.250 (B) s.280 (C) s.290 (D) s.299 (E) s.230<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the amount paid to X per wee... | 11,303 |
<|im_start|>user
A form of carbon in which carbon atoms are arranged in a hollow sphere is known as?
Answer choice: (A) chondrite (B) fullerene (C) amines (D) analyte<|im_end|>
<|im_start|>assistant
<think>
</think>
A fullerene (also called a Bucky ball) is a form of carbon in which carbon atoms are arranged in a hol... | 8,524 |
<|im_start|>user
In a rectangular coordinate system, what is the area of a rhombus whose vertices have the coordinates (0, 3.5), (8, 0), (0, -3.5), (-8, 0)?
Answer Choices: (A) 56 (B) 88 (C) 112 (D) 116 (E) 120<|im_end|>
<|im_start|>assistant
<think>
</think>
Area of rhombus= 1/2* D1 *D2
Length of 1st diagonal = 8+8=... | 93,471 |
<|im_start|>user
The simple form of the ratio 4/2:2/5 is?
Answer Choices: (A) 10:6 (B) 5:1 (C) 15:3 (D) 25:3 (E) 30:3<|im_end|>
<|im_start|>assistant
<think>
</think>
4/2 : 2/5 = 20:4 = 5:1
The answer is B<|endoftext|> | 27,911 |
<|im_start|>user
What are hydrocarbons that contain only single bonds between carbon atoms called?
Answer choice: (A) saturated hydrocarbons (B) caloric hydrocarbons (C) unsaturated hydrocarbons (D) carcinogenic hydrocarbons<|im_end|>
<|im_start|>assistant
<think>
</think>
Saturated hydrocarbons are hydrocarbons that... | 2,694 |
<|im_start|>user
The average age of 8 men increases by 2 years when two women are included in place of two men of ages 20 and 24 years. Find the average age of the women?
Answer Choices: (A) 5 (B) 10 (C) 50 (D) 40 (E) 30<|im_end|>
<|im_start|>assistant
<think>
</think>
20 + 24 + 8 * 2 = 60/2 = 30
The answer is E<|end... | 73,507 |
<|im_start|>user
Two teams Arrogant and Overconfident are participating in a cricket tournament. The odds that team Arrogant will be champion is 5 to 3, and the odds that team Overconfident will be the champion is 1 to 4. What are the odds that either Arrogant or team Overconfident will become the champion?
Answer Choi... | 39,013 |
<|im_start|>user
A man is 28 years older than his son. In two years, his age will be twice the age of his son. The present age of the son is?
Answer Choices: (A) 16 (B) 19 (C) 15 (D) 26 (E) 10<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the son's present age be x years.
Then, man's present age = (x + 28) yea... | 68,896 |
<|im_start|>user
How long does a train 110 m long running at the speed of 72 km/hr takes to cross a bridge 132 m length?
Answer Choices: (A) 9.8 sec (B) 12.1 sec (C) 12.42 sec (D) 14.3 sec (E) 15.3 sec<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = 72 * 5/18 = 20 m/sec
Total distance covered = 110 + 132 = 2... | 67,191 |
<|im_start|>user
A box contains 20 green balls, 15 red balls and 25 white balls. A ball is drawn at random from the box. What is the probability that the ball drawn is either red or green?
Answer Choices: (A) 6/7 (B) 5/11 (C) 3/8 (D) 1/13 (E) 7/12<|im_end|>
<|im_start|>assistant
<think>
</think>
Total number of balls... | 82,526 |
<|im_start|>user
A letter lock consists of three rings each marked with six different letters. The number of distinct unsuccessful attempts to open the lock is at the most
Answer Choices: (A) 272 (B) 277 (C) 215 (D) 187 (E) 165<|im_end|>
<|im_start|>assistant
<think>
</think>
Since each ring consists of six different... | 9,977 |
<|im_start|>user
Two trains are running at 40 kmph and 20 kmph respectively in the same direction.Fast train completely passes a man sitting in the slower train in 9 seconds.What is the length of the fast train?
Answer Choices: (A) 23 m (B) 23 2/9 m (C) 27m (D) 46 m (E) 50 m<|im_end|>
<|im_start|>assistant
<think>
</t... | 14,573 |
<|im_start|>user
Ross has 20 shirts, 3/4 of the shirts are green and 1/10 is without buttons. Therefore Ross has between ___ and ___ shirts with buttons that are not green.
Answer Choices: (A) 3 ; 5. (B) 3 ; 6. (C) 3 ; 7. (D) 3 ; 8. (E) 3 ; 9.<|im_end|>
<|im_start|>assistant
<think>
</think>
Total shirts = 20
Green s... | 14,710 |
<|im_start|>user
If X is invested in a bank at a rate of simple interest of y% p.a. for two years, then the interest earned is 300. if X is invested at y% p.a., for two years when the interest is compounded annually, the interest is 307.50. What is the value of X?
Answer Choices: (A) 8000 (B) 6000 (C) 5000 (D) 4000 (E)... | 84,737 |
<|im_start|>user
On the xy-plane, each point on circle C has coordinates such
that x 0 and y 0. If the center of circle C is the point (7; 9),
what is the maximum possible area of C?
Answer Choices: (A) 6 (B) 9 (C) 24 (D) 32 (E) 64<|im_end|>
<|im_start|>assistant
<think>
</think>
I think that theintentof this qu... | 73,863 |
<|im_start|>user
A person purchased a TV set for Rs. 16000 and a DVD player for Rs. 6250. He sold both the items together for Rs. 31150. What percentage of profit did he make?
Answer Choices: (A) 48% (B) 70% (C) 40% (D) 45% (E) 20%<|im_end|>
<|im_start|>assistant
<think>
</think>
The total CP = Rs. 16000 + Rs. 6250
=... | 62,911 |
<|im_start|>user
Nicole cycles at a constant rate of 10 kilometers per hour, and is passed by Jessica, who cycles at a constant rate of 20 kilometers per hour. If Jessica cycles at her constant rate for x minutes after passing Nicole, then stops to wait for her, how many minutes will Jessica have to wait for Nicole to ... | 74,710 |
<|im_start|>user
Skier Lindsey Vonn completes a straight 300-meter downhill run in t seconds and at an average speed of (x + 10) meters per second. She then rides a chairlift back up the mountain the same distance at an average speed of (x - 8) meters per second. If the ride up the mountain took 135 seconds longer than... | 21,997 |
<|im_start|>user
40% of all students in a class commute by public transportation. If 25% of the students aspire to be scientists, which of the following can be the percentage of students who do not commute by public transportation and do not aspire to be scientists?
I. 7%
II. 20%
III. 45%
Answer Choices: (A) I ONLY (B)... | 62,133 |
<|im_start|>user
The average age 11 members of a committee are the same as it was 2 years ago, because an old number has been replaced by a younger number. Find how much younger is the new member than the old number?
Answer Choices: (A) 18 (B) 22 (C) 77 (D) 26 (E) 12<|im_end|>
<|im_start|>assistant
<think>
</think>
1... | 89,598 |
<|im_start|>user
Ramu bought an old car for Rs. 42000. He spent Rs. 13000 on repairs and sold it for Rs. 64900. What is his profit percent?
Answer Choices: (A) 16% (B) 88% (C) 18% (D) 14% (E) 28%<|im_end|>
<|im_start|>assistant
<think>
</think>
Total CP = Rs. 42000 + Rs. 13000
= Rs. 55000 and SP
= Rs. 64900
Profit(%)... | 45,737 |
<|im_start|>user
In a group of 80 children and 10 youngsters, each child got sweets that are 15% of the total number of children and each youngster got sweets that are 25% of the total number of children. How many sweets were there?
Answer Choices: (A) 1160 (B) 1169 (C) 1162 (D) 1122 (E) 1168<|im_end|>
<|im_start|>assi... | 53,907 |
<|im_start|>user
For any positive integer Y, the sum of the first Y positive integers equals Y(Y+1)/2 . If X and Y are positive integers and X > Y, what is the sum of all the integers between X and Y, inclusive?
Answer Choices: (A) X(X+1) /2 + Y(Y+1) /2 (B) X(X+1) /2 - Y(Y-1) /2 (C) X(X+1) /2 - Y(Y+1) /2 (D) X(X+1)... | 24,287 |
<|im_start|>user
A bag contains 70 black balls and 60 white balls. One ball is drawn at random. What is the probability that the ball drawn is white?
Answer Choices: (A) 2/5 (B) 5/7 (C) 1/2 (D) 1/4 (E) 6/13<|im_end|>
<|im_start|>assistant
<think>
</think>
Total number of balls = 70+60 = 130
no. of white balls = 60
pr... | 36,307 |
<|im_start|>user
What do decomposers release once they have broken down the dead organisms?
Answer choice: (A) inorganic molecules (B) essential molecules (C) unusable molecules (D) organic molecules<|im_end|>
<|im_start|>assistant
<think>
</think>
Ecosystems require constant inputs of energy from sunlight or chemica... | 9,786 |
<|im_start|>user
78, 64, 48, 30, 10, (...)
Answer Choices: (A) 14 (B) -14 (C) 12 (D) 0 (E) -12<|im_end|>
<|im_start|>assistant
<think>
</think>
78 - 14 = 64
64 - 16 = 48
48 - 18 = 30
30 - 20 = 10
10 - 22 = -12
The answer is E<|endoftext|> | 22,707 |
<|im_start|>user
What is the probability that Company E's advertisement will be one of the first two be shown during the first commercial break?
Answer Choices: (A) 1/ 225 (B) 1 / 30 (C) 1 /15 (D) 2 / 15 (E) 4 /15<|im_end|>
<|im_start|>assistant
<think>
</think>
E 1/15 + (14/15) * 1/14 = 2/15 D
The answer is D<|... | 24,954 |
<|im_start|>user
Two sides of a triangle have lengths x and w and meet at a right angle. If the perimeter of the triangle is 4x, what is the ratio of x to w ?
Answer Choices: (A) a) 2 : 3 (B) b) 3 : 4 (C) c) 4 : 3 (D) d) 3 : 2 (E) e) 2 : 1<|im_end|>
<|im_start|>assistant
<think>
</think>
Ahhhh....my bad. Thank y... | 16,034 |
<|im_start|>user
In the manufacture of a certain product, 9 percent of the units produced are defective and 5 percent of the defective units are shipped for sale. What percent of the units produced are defective units that are shipped for sale?
Answer Choices: (A) 0.15% (B) 0.45% (C) 0.8% (D) 1.25% (E) 2.0%<|im_end|>
<... | 24,547 |
<|im_start|>user
Seventy five percent of a number is 21 less than four fifth of that number. What is the number ?
Answer Choices: (A) 240 (B) 340 (C) 420 (D) 130 (E) 125<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the number be x.
Then, 4*x/5 –(75% of x) = 21
4x/5 – 75x/100 = 21
x = 420.
The answer is C<... | 43,439 |
<|im_start|>user
An article is bought for Rs.680 and sold for Rs.900, find the gain percent?
Answer Choices: (A) 33 1/8% (B) 33 8/3% (C) 33 1/3% (D) 32 6/17% (E) 32 1/3%<|im_end|>
<|im_start|>assistant
<think>
</think>
680---- 220
100 ---- ? => 32 6/17%
The answer is D<|endoftext|> | 21,995 |
<|im_start|>user
What is 15% of 2/3 of 0.7?
Answer Choices: (A) 0.07 (B) 0.9 (C) 9 (D) 90 (E) None of the above<|im_end|>
<|im_start|>assistant
<think>
</think>
The best way to solve these questions is to convert every term into fraction
(15/100)*(2/3)*(7/10) = 210/3000 = 0.07
Option A
The answer is A<|endoftext|> | 29,418 |
<|im_start|>user
How long will it take a certain amount to increase by 30% at the rate of 15% simple interest?
Answer Choices: (A) 20 (B) 30 (C) 40 (D) 50 (E) 60<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the principal be Rs. x
Simple interest = x*30/100 = 3x/10
T = 100*SI/PR = 100*3x/10 / x*15 = 2%
Alterna... | 22,161 |
<|im_start|>user
A survey reveals that the average income of a company’s customers is $45,000 per year. If 50 customers respond to the survey and the average income of the wealthiest 10 of those customers is $95,000, what is the average income of the other 40 customers?
Is there a way to solve this using weighted avera... | 27 |
<|im_start|>user
What will come in place of the x in the following Number series? 279936, 46656, 7776, 1296, 216, x
Answer Choices: (A) 23 (B) 34 (C) 36 (D) 42 (E) 45<|im_end|>
<|im_start|>assistant
<think>
</think>
Go on dividing by 6 to the next number
C)
The answer is C<|endoftext|> | 14,027 |
<|im_start|>user
In a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 200 km/hr and the time of flight increased by 30 minutes. The duration of the flight is:
Answer Choices: (A) 1hour (B) 2hour (C) 3hour (D) 4hour (E) 5hour<|im_end|>
<|im_start|>assistant... | 60,918 |
<|im_start|>user
For any non-zero a and b that satisfy |ab| = ab and |b| = -b
|b - 4| + |ab - b| = ?
Answer Choices: (A) a) ab - 4 (B) b) 2b - ab - 4 (C) c) ab + 4 (D) d) ab - 2b (E) e) ab - 2b + 4<|im_end|>
<|im_start|>assistant
<think>
</think>
|a| = -a Suggests that 'a' is Negative
|ab| = ab Suggests that 'ab... | 54,389 |
<|im_start|>user
If a - b = 3 and a(power 2) + b(power 2) = 23, find the value of ab.
Answer Choices: (A) 5 (B) 8 (C) 7 (D) 10 (E) 3<|im_end|>
<|im_start|>assistant
<think>
</think>
2ab = (a(power 2) + b(power 2) - (a - b)(power 2)
= 23 - 9 = 14
ab = 7.
The answer is C<|endoftext|> | 20,188 |
<|im_start|>user
If a certain sample of data has a mean of 11.0 and the value 20.0 is more than 2.5 standard deviations from the mean, which of the following could be the standard deviation of the sample
Answer Choices: (A) 14.75 (B) 3.55 (C) 4.25 (D) 4.0 (E) 2.75<|im_end|>
<|im_start|>assistant
<think>
</think>
20.0... | 78,353 |
<|im_start|>user
John has on his shelf four books of poetry, four novels, and three reference works. Suppose from these ten books, we were to pick two books at random. What is the probability that we pick one novel and one reference work?
Answer Choices: (A) 1/2 (B) 12/55 (C) 3/10 (D) 7/20 (E) 8/45<|im_end|>
<|im_start... | 52,813 |
<|im_start|>user
Given a square of length 2m. Its corners are cut such that to represent a regular octagon. Find the length of side of octagon
Answer Choices: (A) 2 (B) 3 (C) 4 (D) 5 (E) 7<|im_end|>
<|im_start|>assistant
<think>
</think>
Let x is the side of the octagon and x + 2y is the side of the square.
In the gi... | 69,640 |
<|im_start|>user
Which of the following are/is prime?
I. 143
II. 147
III. 157
Answer Choices: (A) II only (B) III only (C) III (D) IIII (E) I, II,III<|im_end|>
<|im_start|>assistant
<think>
</think>
1) 143 = 13*11 so we know it is not prime quickly eliminate all options having 1 as a choice
which leaves us with ... | 32,249 |
<|im_start|>user
When the oval window vibrates, it causes what else to vibrate as well?
Answer choice: (A) cilia (B) timpani (C) the cochlea (D) hammer and anvil<|im_end|>
<|im_start|>assistant
<think>
</think>
The stirrup in the middle ear passes the amplified sound waves to the inner ear through the oval window. Wh... | 8,465 |
<|im_start|>user
A certain sum becomes four times itself at simple interest in eight years. In how many years does it become ten times itself?
Answer Choices: (A) 24 years (B) 14 years (C) 65 years (D) 17 years (E) 15 years<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the sum be Rs. x, then it becomes Rs. 4x ... | 77,134 |
<|im_start|>user
Organic chemistry is the study of the chemistry of what?
Answer choice: (A) hydrogen (B) carbon compounds (C) metals (D) oxidation<|im_end|>
<|im_start|>assistant
<think>
</think>
Organic chemistry is the study of the chemistry of carbon compounds.
The answer is B<|endoftext|> | 4,430 |
<|im_start|>user
If b<0, which of the following represents a positive number?
Answer Choices: (A) |b|b (B) b/ |b| (C) b|b| (D) |b|/b (E) -b|b|<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is E<|endoftext|> | 26,768 |
<|im_start|>user
When 60 per cent of a number is added to another number the second number increases to its 140 per cent. What is the ratio between the first and the second number?
Answer Choices: (A) 3 : 4 (B) 4 : 3 (C) 2 : 3 (D) Data inadequate (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Let ... | 10,249 |
<|im_start|>user
What is the name for unsaturated hydrocarbons that contain at least one double bond?
Answer choice: (A) alkenes (B) lipids (C) acids (D) enzymes<|im_end|>
<|im_start|>assistant
<think>
</think>
Unsaturated hydrocarbons that contain at least one double bond are called alkenes . The name of a specific ... | 10,226 |
<|im_start|>user
What is the diffference between the place value and face value of 7 in the numeral 9751?
Answer Choices: (A) 691 (B) 692 (C) 693 (D) 694 (E) 695<|im_end|>
<|im_start|>assistant
<think>
</think>
place value of 7 = 7 * 100 = 700
face value of 7 = 7
700 - 7 = 693
C
The answer is C<|endoftext|> | 1,800 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
A strong argument uses valid reasoning and logic in support of a claim. When an argument or claim introduces irrelevant information or misrepresents the issues at hand, it may be committing a logical fallacy. Logical fallaci... | 2,022 |
<|im_start|>user
The speed of a boat in upstream is 50 kmph and the speed of the boat downstream is 80 kmph. Find the speed of the boat in still water and the speed of the stream?
Answer Choices: (A) 10 kmph. (B) 17 kmph. (C) 15 kmph. (D) 11 kmph. (E) 12 kmph.<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed of... | 41,502 |
<|im_start|>user
Conductivity, oxidation state and physical appearance are properties that help determine whether what are metals?
Answer choice: (A) atoms (B) phases (C) elements (D) organisms<|im_end|>
<|im_start|>assistant
<think>
</think>
Strategy: A Based on the conductivity of the elements, determine whether ea... | 11,282 |
<|im_start|>user
A motorist travel to a place 150 km away at an average speed of 45 km/hr and returns at 30 km/hr.His average speed for the whole journey in km/hr is
Answer Choices: (A) 36 km/hr (B) 37.5 km/hr (C) 35.5 km/hr (D) 34.5 km/hr (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation... | 80,069 |
<|im_start|>user
In a group of 150 readers who read science fiction or literacy works or both, 120 read science fiction and 90 read literacy works. How many read both science fiction and literacy works?
Answer Choices: (A) 70 (B) 60 (C) 90 (D) 100 (E) 110<|im_end|>
<|im_start|>assistant
<think>
</think>
Consider tota... | 52,114 |
<|im_start|>user
What is the remainder when 135^77 is divided by 7 ?
Answer Choices: (A) 0 (B) 1 (C) 2 (D) 3 (E) 4<|im_end|>
<|im_start|>assistant
<think>
</think>
(15^77 * 9^77)/7;
(15^77)/7 * (9^77)/7;
1 * 2^77/7;
((2^3)^25 * 2^2)/7;
1 * 4 = 4
The answer is E<|endoftext|> | 3,218 |
<|im_start|>user
For how many unique pairs of nonnegative integers {a, b} is the equation a^2 - b^2 = 235 true?
Answer Choices: (A) 1 (B) 2 (C) 5 (D) 7 (E) 9<|im_end|>
<|im_start|>assistant
<think>
</think>
Answer B
(a+b)(a-b)=235
2cases For (a+b), (a-b)
235, 1
47, 5
The answer is B<|endoftext|> | 67,400 |
<|im_start|>user
What type of disease occurs when the immune system fails to recognize the body's own molecules?
Answer choice: (A) autoimmune (B) gastrointestinal (C) cardiac (D) congenital<|im_end|>
<|im_start|>assistant
<think>
</think>
Autoimmune diseases occur when the immune system fails to recognize the body’s... | 3,853 |
<|im_start|>user
Mike drives his new Corvette from San Francisco to Las Vegas, a journey of 640 miles. He drives the first half of the trip at an average rate of 80 miles per hour, but has to slow down for the second half of his journey. If the second half of the trip takes him 200 percent longer than the first half, w... | 74,379 |
<|im_start|>user
A group consists of 4 men, 6 women and 1 child. In how many ways can 2 men , 3 women and 1 child selected from the given group?
Answer Choices: (A) 400 (B) 120 (C) 287 (D) 278 (E) 281<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Two men, three women and one child can be selected in â... | 21,909 |
<|im_start|>user
3/4th of a number exceeds its 2/3rd by 8. What is the number?
Answer Choices: (A) 22 (B) 77 (C) 28 (D) 96 (E) 26<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Let the number be x.
3/4x = 2/3x + 8
Multiply by 12
9x = 8x + 96
x = 96
The answer is D<|endoftext|> | 75,168 |
<|im_start|>user
A van takes 6 hours to cover a distance of 180 Km. how much should the speed in Kmph be maintained to cover the same direction in 3/2th of the previous time?
Answer Choices: (A) 50 Kmph (B) 60 Kmph (C) 70 Kmph (D) 80 Kmph (E) 20 Kmph<|im_end|>
<|im_start|>assistant
<think>
</think>
Time = 6
Distence ... | 82,052 |
<|im_start|>user
Which of the following leads to the correct mathematical solution for the number of ways that the letters of the word BOOK could be arranged to create a four-letter code?
Answer Choices: (A) 4! (B) 4! − ( 2!) (C) 4! − (3! × 2!) (D) 4!/( 2!) (E) 4!/(3! × 2!) <|im_end|>
<|im_start|>assistant
<think>
... | 87,727 |
<|im_start|>user
The ratio of the radius of two circles is 1: 3, and then the ratio of their areas is?
Answer Choices: (A) 1:6 (B) 1:0 (C) 1:9 (D) 1:2 (E) 1:1<|im_end|>
<|im_start|>assistant
<think>
</think>
r1: r2 = 1: 3
Πr12: Πr22
r12: r22 = 1:9
The answer is C<|endoftext|> | 85,629 |
<|im_start|>user
Of the 50 researchers in a workgroup, 40 percent will be assigned to Team A and the remaining 60 percent to Team B. However, 60 percent of the researchers prefer Team A and 30 percent prefer Team B. What is the lowest possible number of researchers who will NOT be assigned to the team they prefer?
Answ... | 92,581 |
<|im_start|>user
A person spends 1/3rd of the money with him on clothes, 1/5th of the remaining on food and 1/4th of the remaining on travel. Now, he is left with Rs 600. How much did he have with him in the beginning?
Answer Choices: (A) s 200 (B) s 1500 (C) s 300 (D) s 450 (E) s 550<|im_end|>
<|im_start|>assistant
<t... | 2,698 |
<|im_start|>user
5 speakers gathered to deliver speeches on two topics. Even though 5 speeches were initially planned to be delivered, due to lack of time only 2 speeches were finally decided to be delivered. Topics are to be spoken in a specific order and the speeches differ with respect to speaker or topic. How many ... | 21,582 |
<|im_start|>user
If 5x = 7y and xy ≠ 0, what is the ratio of 1/5*x to 1/6*y ?
Answer Choices: (A) 25/6 (B) 42/25 (C) 6/5 (D) 5/6 (E) 25/36<|im_end|>
<|im_start|>assistant
<think>
</think>
5x = 7y => x/y = 7/5
1/5*x to 1/6*y = x/y * 6/5 = (7/5)*(6/5)=42/25
The answer is B<|endoftext|> | 13,984 |
<|im_start|>user
An analyst will recommend a combination of 3 industrial stocks, 2 transportation stocks, and 2 utility stocks. If the analyst can choose from 5 industrial stocks, 4 transportation stocks, and 3 utility stocks, how many different combinations of 7 stocks are possible?
Answer Choices: (A) 12 (B) 19 (C) 6... | 67,494 |
<|im_start|>user
Find the value of y from (12)^3 x 6^4 ÷ 432 = y?
Answer Choices: (A) 2134 (B) 2245 (C) 3450 (D) 4500 (E) 5184<|im_end|>
<|im_start|>assistant
<think>
</think>
Given Exp. = (12)3 x 64 = (12)3 x 64 = (12)2 x 62 = (72)2 = 5184
432 12 x 62
E
The answer is E<|endoftext|> | 28,011 |
<|im_start|>user
What part of the plant has a root end and a shoot end?
Answer choice: (A) radius (B) axis (C) leaves (D) pistol<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is B<|endoftext|> | 1,070 |
<|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... | 3,021 |
<|im_start|>user
Sandy buys an old scooter for $800 and spends $200 on its repairs. If Sandy sells the scooter for $1400, what is the gain percent?
Answer Choices: (A) 20% (B) 30% (C) 40% (D) 50% (E) 60%<|im_end|>
<|im_start|>assistant
<think>
</think>
selling price / total cost = 1400/1000 = 1.4
The gain percent is ... | 91,431 |
<|im_start|>user
9873 + x = 13800, then x is ?
Answer Choices: (A) 3327 (B) 3237 (C) 3927 (D) 2337 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Answer
x = 13800 - 9873 = 3927
Option: C
The answer is C<|endoftext|> | 51,902 |
<|im_start|>user
A and B started a business and invested in 4:5 ratio.after 3 month A takes back 1/4 part of his investment and B takes back 1/5 part of his investment.after 10 month there is profit of 76000 rs.calculate the profit share of A.
Answer Choices: (A) 35000 (B) 43000 (C) 33000 (D) 46000 (E) 38000<|im_end|>
... | 96,941 |
<|im_start|>user
A man invests some money partly in 9% stock at 96 and partly in 12% stock at 120. To obtain equal dividends from both, he must invest the money in the ratio?
Answer Choices: (A) 16:18 (B) 16:13 (C) 16:15 (D) 16:12 (E) 16:11<|im_end|>
<|im_start|>assistant
<think>
</think>
For an income of Re. 1 in 9%... | 18,390 |
<|im_start|>user
How many ways can you arrange 16 people into 4 rows of 4 desks each?
Answer Choices: (A) 14! (B) 15! (C) 16! (D) 17! (E) 18!<|im_end|>
<|im_start|>assistant
<think>
</think>
for 1st person there are 16 places
for 2nd person there are 15 places
for 3rd ..... 14 places
no. of ways will be = 16*15*14...... | 65,522 |
<|im_start|>user
Mary, Peter, and Lucy were picking chestnuts. Mary picked twice as much chestnuts than Peter. Lucy picked 5 kg more than Peter. Together the three of them picked 29 kg of chestnuts. How many kilograms of chestnuts did Mary, Peter, and Lucy pick respectively?
Answer Choices: (A) 6, 11 and 12 (B) 12, 11 ... | 80,343 |
<|im_start|>user
A man travels 100km by train at 60km/hr, 200km by ship at 20km/hr, 300km by aeroplane at 100km/hr and 100km by car at 50km/hr. What is the average speed for the entire distance?
Answer Choices: (A) 35.3km/hr (B) 42km/hr (C) 48.9km/hr (D) 52.6km/hr (E) 27.6km/hr<|im_end|>
<|im_start|>assistant
<think>
... | 9,659 |
<|im_start|>user
Kim purchased n items from a catalog for $8 each. Postage and handling charges consisted of $7 for the first item and $1 for each additional item. Which of the following gives the total dollar amount for Kim’s purchase, including postage and handling, in terms of n ?
Answer Choices: (A) 8n + 2 (B) 8n +... | 30,198 |
<|im_start|>user
The radius of the two circular fields is in the ratio 3: 5 the area of the first field is what percent less than the area of the second?
Answer Choices: (A) 54% (B) 74% (C) 53% (D) 64% (E) 24%<|im_end|>
<|im_start|>assistant
<think>
</think>
r = 3 πr2 = 9
r = 5 πr2 = 25
25 π – 16 π
100 ---- ? => 64%
... | 71,370 |
<|im_start|>user
How many 8's are there preceded by 0 but not followed by 1?
5 0 8 1 2 7 4 2 6 9 7 4 6 1 3 0 8 7 4 1 0 8 3 2 5 6 7 4 3 9 5 8 2 0 8 2 7 4 6 3
Answer Choices: (A) 3 (B) 5 (C) 6 (D) 8 (E) 9<|im_end|>
<|im_start|>assistant
<think>
</think>
0 8 2
0 8 7
0 8 3
Only at these places 3 is preceded by 0 but not ... | 18,733 |
<|im_start|>user
Natural resources that are limited in supply and cannot be replaced except over millions of years are known as what?
Answer choice: (A) precious (B) biological (C) nonrenewable (D) renewable<|im_end|>
<|im_start|>assistant
<think>
</think>
Nonrenewable resources are natural resources that are limited... | 10,442 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Matter is made of very small particles called atoms. Atoms can be linked together by chemical bonds. When two or more atoms link together, they form a molecule.
In a chemical change, the chemical bonds in the molecules break... | 348 |
<|im_start|>user
In birds, lightweight air-filled bones and a large four-chambered heart are examples of adaptations for what purpose?
Answer choice: (A) speed (B) long lifespan (C) flight (D) mating<|im_end|>
<|im_start|>assistant
<think>
</think>
Birds are endothermic tetrapod vertebrates. They are bipedal and have... | 11,142 |
<|im_start|>user
It takes eight hours for a 600 km journey, if 120 km is done by train and the rest by car. It takes 20 minutes more, if 200 km is done by train and the rest by car. The ratio of the speed of the train to that of the car is?
Answer Choices: (A) 3:6 (B) 3:1 (C) 3:4 (D) 3:9 (E) 3:2<|im_end|>
<|im_start|>a... | 48,602 |
<|im_start|>user
Find the expenditure on digging a well 14m deep and of 3m diameter at Rs.19 per cubic meter?
Answer Choices: (A) 2998 (B) 1881 (C) 2890 (D) 1485 (E) 2780<|im_end|>
<|im_start|>assistant
<think>
</think>
22/7 * 14 * 3/2 * 3/2
= 99 m2
99 * 19
= 1881
The answer is B<|endoftext|> | 92,977 |
<|im_start|>user
By selling 50 meters of cloth. I gain the selling price of 15 meters. Find the gain percent?
Answer Choices: (A) 42 6/4% (B) 42 9/7% (C) 42 2/7% (D) 42 6/7% (E) 42 6/8%<|im_end|>
<|im_start|>assistant
<think>
</think>
SP = CP + g
50 SP = 50 CP + 15 SP
35 SP = 50 CP
35 --- 15 CP gain
100 --- ? => 42 6... | 90,381 |
<|im_start|>user
Two trains 300m and 400m long run at the speeds of 40 kmph and 50kmph respectively in opposite Directions on parallel tracks. The time taken to cross each other?
Answer Choices: (A) 28sec (B) 20sec (C) 30sec (D) 15sec (E) 25sec<|im_end|>
<|im_start|>assistant
<think>
</think>
Length of two Trains = 3... | 83,930 |
<|im_start|>user
Two people measure each other's height, the height of the taller person is H and the height of the other person is L. If the difference in their heights is equal to the average height, what is the Value of H/L
Answer Choices: (A) 1/3. (B) 1/2. (C) 3. (D) 2. (E) 6.<|im_end|>
<|im_start|>assistant
<think... | 3,939 |
<|im_start|>user
A began a business with Rs. 85,000. He was joined afterwards by B with Rs. 42,500. For how much period does B join, if the profits at the end of the year are divided in the ratio of 3 : 1?
Answer Choices: (A) 4 months (B) 5 months (C) 6 months (D) 8 months (E) 9 months<|im_end|>
<|im_start|>assistant
<... | 34,036 |
<|im_start|>user
A fruit seller sells mangoes at the rate of Rs.8 per kg and thereby loses 20%. At what price per kg, he should have sold them to make a profit of 5%
Answer Choices: (A) Rs 8.5 (B) Rs 9.5 (C) Rs 10.5 (D) Rs 11.5 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
80 : 8 = 1... | 54,808 |
<|im_start|>user
Find the least number which when divided by 20,25,35 and 40 leaves remainders 14,19,29 and 34 respectively.
Answer Choices: (A) 1934 (B) 1394 (C) 1943 (D) 1493 (E) None of them<|im_end|>
<|im_start|>assistant
<think>
</think>
Here,(20-14) = 6,(25 – 19)=6,(35-29)=6 and (40-34)=6.
Required number = (L.... | 86,589 |
<|im_start|>user
In a 1000 m race, A beats B by 50 m and B beats C by 10 m. In the same race, by how many meters does A beat C?
Answer Choices: (A) A) 60m (B) B) 829m (C) C) 822m (D) D) 929m (E) E) 132mj<|im_end|>
<|im_start|>assistant
<think>
</think>
By the time A covers 1000 m, B covers (1000 - 50) = 950 m.
By the... | 7,539 |
<|im_start|>user
On adding four times the age of Chris Hemsworth four years from now to five times his age five years from now, we will get ten times his current age.
How old is Chris right now?
Answer Choices: (A) 38 years (B) 24 years (C) 40 years (D) 41 years (E) 29 years<|im_end|>
<|im_start|>assistant
<think>
</t... | 700 |
<|im_start|>user
How much time will a train of length 200 m moving at a speed of 72 kmph take to cross another train of length 300 m, moving at 36 kmph in the same direction?
Answer Choices: (A) 50 sec (B) 16 sec (C) 31 sec (D) 26 sec (E) 25 sec<|im_end|>
<|im_start|>assistant
<think>
</think>
The distance to be cove... | 28,339 |
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