text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
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<|im_start|>user
Calculate the different number of ways 5 boys and 2 girls can sit on a bench?
Answer Choices: (A) 6040 (B) 5030 (C) 5140 (D) 5010 (E) 5040<|im_end|>
<|im_start|>assistant
<think>
</think>
npn = n!
7p7 = 7 × 6 × 5 × 4 × 3 × 2 × 1= 5040
E
The answer is E<|endoftext|> | 31,346 |
<|im_start|>user
Arnold and Danny are two twin brothers that are celebrating their birthday. The product of their ages today is smaller by 13 from the product of their ages a year from today. What is their age today?
Answer Choices: (A) 2. (B) 6. (C) 5. (D) 7. (E) 9.<|im_end|>
<|im_start|>assistant
<think>
</think>
a... | 33,413 |
<|im_start|>user
One-third less than 15% of 180 is equal to:
Answer Choices: (A) 18 (B) 30 (C) 35 (D) 40 (E) 45<|im_end|>
<|im_start|>assistant
<think>
</think>
Lots of ways to tackle this.
15% of 180 =27
1/3 of 27= 9
So, 1/3less than 27 is equal to 27- 9 = 18
The answer is A<|endoftext|> | 63,729 |
<|im_start|>user
A can do a piece of work in 90 days & Y can do it in 80 days. They began working together but A leaves after some days and then B completed the remaining work in 46 days. The number of days after which A left the work was?
Answer Choices: (A) 10 days (B) 11 days (C) 16 days (D) 17 days (E) 18 days<|im_... | 35,546 |
<|im_start|>user
3 OUT OF 2500 PARTS OF EARTH IS SULPHUR. WHAT IS THE PERCENTAGE OF SULPHUR IN EARTH
Answer Choices: (A) 11/50 (B) 1/8 (C) 1/45 (D) 2/45 (E) NONE OF THESE<|im_end|>
<|im_start|>assistant
<think>
</think>
REQUIRED PERCENTAGE=(3/2500*100)%=1/8%
CORRECT OPTIONS: B
The answer is B<|endoftext|> | 20,451 |
<|im_start|>user
In a fuel station the service costs $1.75 per car, every liter of fuel costs 0.65$. Assuming that a company owns 12 cars and that every fuel tank contains 30 liters and they are all empty, how much money total will it cost to fuel all cars?
Answer Choices: (A) 320$ (B) 255$ (C) 420$ (D) 450$ (E) 480$<|... | 47,080 |
<|im_start|>user
The diameter of a cylindrical tin is 4cm and height is 5 cm. Find the volume of the cylinder?
Answer Choices: (A) 33 (B) 45 (C) 20 (D) 77 (E) 21<|im_end|>
<|im_start|>assistant
<think>
</think>
r = 2 h = 5
π * 2 * 2 * 5 = 20 π cc
The answer is C<|endoftext|> | 29,713 |
<|im_start|>user
Find the least number must be subtracted from 964807 so that remaining no.is divisible by 8?
Answer Choices: (A) 7 (B) 6 (C) 5 (D) 4 (E) 3<|im_end|>
<|im_start|>assistant
<think>
</think>
On dividing 964807 by 15 we get the remainder 7, so 7 should be subtracted
A
The answer is A<|endoftext|> | 97,342 |
<|im_start|>user
one machine 10 hours to complete a production order and another machine 20 hours to complete the same order. How many hours would it take both machines working simultaneously at their respective rates to complete the order?
Answer Choices: (A) 12/7hrs (B) 20/3hrs (C) 15/6hrs (D) 8/9hrs (E) 15/2hrs<|im_... | 89,555 |
<|im_start|>user
A company plans to award prizes to its top 3 salespeople, with the largest prize going to the top salesperson, the next-largest prize to the next salesperson, and a smaller prize to the third-ranking salesperson. If the company has 9 salespeople on staff, how many different arrangements of winners are ... | 18,294 |
<|im_start|>user
Find the unit's digit in (264)^102 + (264)^103
Answer Choices: (A) 0 (B) 2 (C) 5 (D) 3 (E) 4<|im_end|>
<|im_start|>assistant
<think>
</think>
Required unit's digit = unit's digit in (4)^102 + (4)^103.
Now, 4^2 gives unit digit 6.
(4)102 gives unjt digit 6.
(4)103 gives unit digit of the product (6 x ... | 18,631 |
<|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... | 1,671 |
<|im_start|>user
Two representatives must be selected from each of two groups of students. One group consists of four men and one woman, and the other group consists of two women and one man. What is the probability that 2 men and 2 women will be selected ?
Answer Choices: (A) 1/6 (B) 1/4 (C) 2/7 (D) 7/15 (E) 1/2<|im_e... | 48,931 |
<|im_start|>user
Two persons A and B can complete a piece of work in 30 days and 45 days respectively. If they work together, what part of the work will be completed in 3 days?
Answer Choices: (A) 1/5 (B) 1/1 (C) 1/6 (D) 1/3 (E) 1/7<|im_end|>
<|im_start|>assistant
<think>
</think>
A's one day's work = 1/30
B's one da... | 88,722 |
<|im_start|>user
In a kilometer race, A beats B by 40 meters or 8 seconds. What time does A take to complete the race?
Answer Choices: (A) 221 (B) 190 (C) 192 (D) 191 (E) 121<|im_end|>
<|im_start|>assistant
<think>
</think>
Time taken by B run 1000 meters = (1000 * 8)/40 = 200 sec.
Time taken by A = 200 - 8 = 192 sec... | 39,467 |
<|im_start|>user
The number of positive integers which can be formed by using any number of digits from 0,1,2,3,4,5 without repetition.
Answer Choices: (A) 1200 (B) 1500 (C) 1600 (D) 1630 (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution: One digit positive numbers = 5.
Two digit positive numbers = 2... | 72,573 |
<|im_start|>user
If M equals the sum of the odd integers from 1 to 111, inclusive, and T equals the sum of the even integers from 2 to 50, inclusive, what is the value of M + T?
Answer Choices: (A) 400 (B) 5550 (C) 6922 (D) 3786 (E) 5553<|im_end|>
<|im_start|>assistant
<think>
</think>
Use following formulae for such... | 60,066 |
<|im_start|>user
The sum of the digits of a two-digit number is 15 and the difference between the digits is 3. What is the two-digit number?
Answer Choices: (A) 69 (B) 78 (C) 96 (D) Either (a) or (c) (E) none of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the ten's digit be x and unit's digit be y.
T... | 84,615 |
<|im_start|>user
A crow leaves its nest, and flies back and forth from its nest to a nearby ditch to gather worms. The distance between the nest and the ditch is 250 meters. In one and a half hours, the crow manages to bring worms to its nest 15 times. What is the speed of the crow in kilometers per hour?
Answer Choice... | 46,989 |
<|im_start|>user
There are 5,260 feet in 1 mile and 12 inches in one foot. How many inches are in a mile?
Answer Choices: (A) 5,280 - 12 (B) 5,280/12 (C) 12(5,260) (D) 12^2(5,280) (E) 12/5,280<|im_end|>
<|im_start|>assistant
<think>
</think>
1 feet = 12 inches
1 mile = 5260 feet
1 mile = 5260*12 inches
The answer i... | 82,097 |
<|im_start|>user
If an integer n is to be chosen at random from the integers 1 to 96, inclusive, what is the probability that n(n + 1)(n + 2) will be divisible by 16?
Answer Choices: (A) 1/4 (B) 3/8 (C) 1/2 (D) 9/16 (E) 3/4<|im_end|>
<|im_start|>assistant
<think>
</think>
I get 5/8 as well
1 to 96 inclusive means we ... | 11,299 |
<|im_start|>user
A person crosses a 600 m long street in 5 minutes. What is his speed in km per hour?
Answer Choices: (A) 3.6 (B) 7.2 (C) 8.4 (D) 10 (E) 8<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = 600/(5 x 60) m/sec.
= 2 m/sec.
Converting m/sec to km/hr
= (2 x (18/5)) km/hr
= 7.2 km/hr.
The answer is B... | 86,945 |
<|im_start|>user
A family consists of two grandparents, two parents and three grandchildren. The average age of the grandparents is 80 years, that of the parents is 35 years and that of the grandchildren is 6 years. What is the average age of family?
Answer Choices: (A) 3/7years (B) B) 31 (C) C) 30 (D) D) 33 (E) E) 35<... | 59,950 |
<|im_start|>user
What are nutrients the body needs in relatively large amounts called?
Answer choice: (A) adulterants (B) abundances (C) macronutrients (D) vitamins<|im_end|>
<|im_start|>assistant
<think>
</think>
Nutrients the body needs in relatively large amounts are called macronutrients . They include carbohydra... | 4,296 |
<|im_start|>user
If a boat goes 7 km upstream in 42 minutes and the speed of the stream is 3 kmph, then the speed of the boat in still water is
Answer Choices: (A) 4.2 Km /hr (B) 9 Km /hr (C) 13 Km /hr (D) 21 Km /hr (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution
Rate upstream = (7/42x60)kmph
= 10 ... | 27,288 |
<|im_start|>user
A certain club has 10 members, including Jarry. One of the 10 members is chosen at random to be the president, one of the remaining 9 members is to be chosen at random to be the secretary, and one of the remaining 8 members is to be chosen at random to be the treasurer. What is the probability that Jar... | 47,181 |
<|im_start|>user
If f(x) = Log(x), then f -1(x) =
Answer Choices: (A) 10 x (B) -10 -x (C) 1 / 10 x (D) x 10 (E) NONE<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution
y = Log(x) if and only if
x = 10y
Interchange x and y
y = 10x
Hence
f -1(x) = 10x
The answer is A<|endoftext|> | 25,652 |
<|im_start|>user
A and B walk around a circular track. They start at 8 a.m. from the same point in the opposite directions. A and B walk at a speed of 1 rounds per hour and 1 rounds per hour respectively. How many times shall they cross each other before 9.30 a.m. ?
Answer Choices: (A) A) 5 (B) B) 6 (C) C) 8 (D) D) 3 (... | 27,794 |
<|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... | 4,651 |
<|im_start|>user
What is an example of a disease that affects the blood?
Answer choice: (A) scoliosis (B) tuberculosis (C) rickets (D) anemia<|im_end|>
<|im_start|>assistant
<think>
</think>
Many diseases affect the blood or its components. They include anemia, leukemia, hemophilia, and sickle-cell disease.
The answe... | 6,941 |
<|im_start|>user
Two pipes A and B can fill a cistern in 20 and 30 minutes respectively, and a third pipe C can empty it in 40 minutes. How long will it take to fill the cistern if all the three are opened at the same time?
Answer Choices: (A) 17 1/6 (B) 17 1/3 (C) 17 1/7 (D) 17 1/2 (E) 17 1/1<|im_end|>
<|im_start|>ass... | 58,331 |
<|im_start|>user
If X and Y are two different prime numbers, which of the following cannot be true?
Answer Choices: (A) XY is odd. (B) X + Y is even. (C) X + Y is odd. (D) XY is even. (E) X/Y is an integer<|im_end|>
<|im_start|>assistant
<think>
</think>
A prime number is a positive integer with exactly two distinct ... | 72,614 |
<|im_start|>user
Nitrogen and sulfur oxides form what type of rain?
Answer choice: (A) common rain (B) toxic rain (C) acid rain (D) heavy rain<|im_end|>
<|im_start|>assistant
<think>
</think>
Both nitrogen and sulfur oxides are toxic to humans. These compounds can cause lung diseases or make them worse. Nitrogen and ... | 11,578 |
<|im_start|>user
A can work three times as fast as B. Together they can finish a job in 18 days. In how many days can A complete the job alone?
Answer Choices: (A) 20 (B) 24 (C) 28 (D) 32 (E) 36<|im_end|>
<|im_start|>assistant
<think>
</think>
B's rate is x and A's rate is 3x.
x + 3x = 1/18
x = 1/72
A's rate is 3x = ... | 94,205 |
<|im_start|>user
How many bricks, each measuring 25 cm x 11.25 cm x 6 cm, will be needed to build a wall of 7.5 m x 6 m x 22.5 cm?
Answer Choices: (A) 6000 (B) 6410 (C) 6440 (D) 6500 (E) 6800<|im_end|>
<|im_start|>assistant
<think>
</think>
Number of bricks = Volume of Wall/Volume of Bricks
=750x600x22.5/25x11.25x6= ... | 25,229 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Fish live underwater. They have fins, not limbs.
Question:
Select the fish.
Answer Choices: (A) seahorse (B) green iguana (C) green tree frog (D) bottlenose dolphin<|im_end|>
<|im_start|>assistant
<think>
</think>
A green... | 4,189 |
<|im_start|>user
A and B starts a business with Rs.8000 each, and after 4 months, B withdraws half of his capital . How should they share the profits at the end of the 18 months?
Answer Choices: (A) 18:11 (B) 18:16 (C) 18:17 (D) 18:18 (E) 18:12<|im_end|>
<|im_start|>assistant
<think>
</think>
A invests Rs.8000 for 18... | 25,177 |
<|im_start|>user
As part of a game, six people each must secretly choose an integer between 1 and 6, inclusive. What is the approximate likelihood that all six people will choose different numbers?
Answer Choices: (A) 2% (B) 12% (C) 16% (D) 20% (E) 25%<|im_end|>
<|im_start|>assistant
<think>
</think>
Ans:a)
1st perso... | 41,563 |
<|im_start|>user
speed of a bus is 54kmph and including stoppages, it is 45kmph. For how many minsdoes the bus stop per hour?
Answer Choices: (A) 10 min (B) 15 min (C) 20 min (D) 25 min (E) 30 min<|im_end|>
<|im_start|>assistant
<think>
</think>
speed of the bus excluding stoppages = 54 kmph
speed of the bus includin... | 80,120 |
<|im_start|>user
A batsman in his 12th innings makes a score of 65 and thereby increases his average by 3 runs. What is his average after the 12th innings if he had never been ‘not out’?
Answer Choices: (A) 32 (B) 43 (C) 44 (D) 45 (E) 46<|im_end|>
<|im_start|>assistant
<think>
</think>
Let ‘x’ be the average score af... | 40,079 |
<|im_start|>user
Jaclyn buys $40 000 worth of debentures in a company. She earns 9.5% p.a. simple interest, paid to her quarterly (that is, every 3 months). If the agreed period of the debenture was 18 months: calculate the amount of interest Jaclyn will earn for each quarter
Answer Choices: (A) 950 (B) 1234 (C) 1289 (... | 18,857 |
<|im_start|>user
The edges of a cuboid are 4 cm, 5 cm and 7 cm. Find the volume of the cuboid?
Answer Choices: (A) 140 (B) 278 (C) 378 (D) 368 (E) 367<|im_end|>
<|im_start|>assistant
<think>
</think>
4*5*7
= 120
The answer is A<|endoftext|> | 66,582 |
<|im_start|>user
If a, b, and c are integer and ab + c is odd, which of the must be true?
I. a + c is odd
II. b + c is odd
III. abc is even
Answer Choices: (A) I only (B) II only (C) III only (D) I and III only (E) II and III only<|im_end|>
<|im_start|>assistant
<think>
</think>
Personally I'd approach this question ... | 22,258 |
<|im_start|>user
The number of timeshare condos available at Sunset Beach is 2/5 the number of timeshare condos available at Playa del Mar. If the total number of timeshare condos available at the two beaches combined is 210, what is the difference between the number of condos available at Sunset Beach and the number o... | 80,132 |
<|im_start|>user
x, y, a, and b are positive integers of V. When x is divided by y, the remainder is 6. When a is divided by b, the remainder is 9. Which of the following is NOT a possible value for y + b?
Answer Choices: (A) 24 (B) 21 (C) 20 (D) 17 (E) 15<|im_end|>
<|im_start|>assistant
<think>
</think>
x, y, a, and... | 17,656 |
<|im_start|>user
Hemoglobin is responsible for transporting what within our blood?
Answer choice: (A) water (B) nitrogen (C) dioxide (D) oxygen<|im_end|>
<|im_start|>assistant
<think>
</think>
To predict the relative stabilities of metal complexes with different ligands. One of the most important properties of metall... | 3,328 |
<|im_start|>user
Gasoline varies in cost from $0.94 to $1.14 per gallon. If a car’s mileage varies from 16 to 24 miles per gallon, what is the difference between the most and least that the gasoline for a 480-mile trip will cost?
Answer Choices: (A) $15.20 (B) $15.30 (C) $15.40 (D) $15.50 (E) $15.60<|im_end|>
<|im_star... | 13,550 |
<|im_start|>user
Out of first 20 natural numbers, one number is selected at random. The probability that it is either an even number or a prime number is ?
Answer Choices: (A) 17/27 (B) 17/25 (C) 17/76 (D) 17/20 (E) 17/23<|im_end|>
<|im_start|>assistant
<think>
</think>
n(S) = 20
n(Even no) = 10 = n(E)
n(Prime no) = ... | 14,053 |
<|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... | 2,200 |
<|im_start|>user
The amounts of time that three secretaries worked on a special project are in the ratio of 2 to 3 to 5. If they worked a combined total of 90 hours, how many hours did the secretary who worked the longest spend on the project?
Answer Choices: (A) 80 (B) 70 (C) 56 (D) 45 (E) 14<|im_end|>
<|im_start|>ass... | 89,788 |
<|im_start|>user
If f and p are two positive integers and f/p = 1.35, then f can equal which one of the following?
Answer Choices: (A) 21 (B) 28 (C) 20 (D) 27 (E) 23<|im_end|>
<|im_start|>assistant
<think>
</think>
f/p = 1.35 = 135/100 = 27/20
So, p COULD equal 27
The answer is D<|endoftext|> | 83,358 |
<|im_start|>user
A positive integer n is called a “good” number if n3 + 7n − 133 = m3 for
some positive integer m. What is the sum of all “good” numbers?
Answer Choices: (A) 24 (B) 25 (C) 29 (D) 30 (E) 0<|im_end|>
<|im_start|>assistant
<think>
</think>
We consider the size of m relative to n. If m = n, then n is a go... | 68,924 |
<|im_start|>user
If the product of the integers j, k, l and m is 770, and if 1 < j< k< l< m, what is the value of j+ m?
Answer Choices: (A) 10 (B) 13 (C) 16 (D) 18 (E) 21<|im_end|>
<|im_start|>assistant
<think>
</think>
770 = 2 * 5 * 7 * 11
So j= 2, k= 5, l= 7, m= 11
j+ m= 2 + 11 = 13
The answer is B<|endoftext|> | 15,588 |
<|im_start|>user
In a class of 70 students, 10 did not opt for math. 5 did not opt for science and 3 did not opt for either. How many students of the class opted for both math and science?
Answer Choices: (A) 23 (B) 25 (C) 27 (D) 37 (E) 38<|im_end|>
<|im_start|>assistant
<think>
</think>
70 students total
10 did not ... | 38,283 |
<|im_start|>user
A man spends 10% of his income in house rent, 20% of the rest on his children’s education, 25% of the rest miscellaneous causes. If he now posses Rs. 1944 then his income is?
Answer Choices: (A) Rs.3600 (B) Rs.3607 (C) Rs.3627 (D) Rs.3661 (E) Rs.3628<|im_end|>
<|im_start|>assistant
<think>
</think>
X... | 78,635 |
<|im_start|>user
The sum of the first k positive integers is equal to k(k+1)/2. What is the sum of the integers from c to d, inclusive, where 0<c<d?
Answer Choices: (A) d(d+1) /2 - (c+1) (c+2) /2 (B) d(d+1) /2 - c(c+1) /2 (C) d(d+1) /2 - (c-1) c/2 (D) (d-1) d/2 - (c+1) (c+2) /2 (E) (d-1) d/2 - c(c+1) /2<|im_end|>
<|im_... | 74,275 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Measurements are written with both a number and a unit. The unit comes after the number. The unit shows what the number means.
Mass is a measurement of how much matter something contains.
There are many different units of ma... | 4,440 |
<|im_start|>user
In a consignment of eggs 552 were cracked, which was 12 percent of the total consignment. How many eggs were in the consignment?
Answer Choices: (A) 4400 (B) 4800 (C) 4300 (D) 4600 (E) 4900<|im_end|>
<|im_start|>assistant
<think>
</think>
D
4600
(552 ÷ 12) × 100 = 4600.
The answer is D<|endoftext|> | 7,051 |
<|im_start|>user
The area of one square is x^2 + 8x + 16 and the area of another square is 4x^2 − 28x + 49. If the sum of the perimeters of both squares is 72, what is the value of x?
Answer Choices: (A) 3 (B) 4 (C) 5 (D) 6 (E) 7<|im_end|>
<|im_start|>assistant
<think>
</think>
The areas are (x+4)^2 and (2x-7)^2.
The... | 79,076 |
<|im_start|>user
Two integers are in the ratio of 1 to 3. If 10 is added to the smaller number, the ratio becomes 2 to 1. Find the larger integer.
Answer Choices: (A) 6 (B) 9 (C) 10 (D) 12 (E) 15<|im_end|>
<|im_start|>assistant
<think>
</think>
One option is to set up the equations and solve:
If the ratio of two inte... | 16,207 |
<|im_start|>user
Three unbiased coins are tossed, what is the probability of geƫng at least 2 tails ?
Answer Choices: (A) 1/3 (B) 1/6 (C) 1/2 (D) 1/8 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Total cases are = 2*2*2 = 8, which are as follows
[TTT, HHH, TTH, THT, HTT, THH, HTH, HH... | 92,850 |
<|im_start|>user
How many hours are there in 1200 minutes?
Answer Choices: (A) 10 (B) 20 (C) 85 (D) 86 (E) 88<|im_end|>
<|im_start|>assistant
<think>
</think>
We know that there are 60 minutes in 1 hour.Divide the number of minutes by the number of minutes in 1 hour. We get, divide 1200 by 601200 ÷ 60 = 20
So there a... | 2,148 |
<|im_start|>user
If the Average of 10 consecutive integers is 23.5 then the 10th integer is :-
Answer Choices: (A) 15 (B) 20 (C) 23 (D) 28 (E) 25<|im_end|>
<|im_start|>assistant
<think>
</think>
The average falls between the 5th and 6th integers,
integer 5 = 23, integer 6 = 24.
Counting up to the tenth integer
we get... | 6,361 |
<|im_start|>user
A train 100 meters long completely crosses a 350-meter long bridge in 40 seconds. What is the speed of the train in km/h?
Answer Choices: (A) 37.5 km/h (B) 40.5 km/h (C) 43.5 km/h (D) 46.5 km/h (E) 49.5 km/h<|im_end|>
<|im_start|>assistant
<think>
</think>
speed = distance / time = (100 + 350)/40 = 4... | 18,457 |
<|im_start|>user
Two marathoners begin their training run on the river bank at the same time. Sally Slow runs due south at 5 miles/hour, while Freddy Fast runs due North at 10 miles/hour. At this pace, how long before they have run 26.2 miles away from each other?
Answer Choices: (A) 1.75 hours (B) 1.634 hours (C) 1.5 ... | 53,513 |
<|im_start|>user
The average of first eight prime numbers which are odd is?
Answer Choices: (A) 12.25 (B) 15.7 (C) 15.2 (D) 15.8 (E) 15.1<|im_end|>
<|im_start|>assistant
<think>
</think>
Sum of first 8 prime no. which are odd = 98
Average = 98/8 = 12.25
The answer is A<|endoftext|> | 84,091 |
<|im_start|>user
A focus group of three people is to be chosen from four pairs of boss-subordinate for a study. What is the number of different focus groups that can be chosen if two people who are boss-subordinate cannot both get in the group ?
Answer Choices: (A) 16 (B) 24 (C) 26 (D) 30 (E) 32<|im_end|>
<|im_start|>a... | 74,927 |
<|im_start|>user
Elements with magic numbers of what tend to have more stable isotopes?
Answer choice: (A) nucleus (B) pressure (C) protons (D) molecules<|im_end|>
<|im_start|>assistant
<think>
</think>
Isotopes with magic numbers of protons and/or neutrons tend to be especially stable. Elements with magic numbers of... | 10,188 |
<|im_start|>user
A crate of mangoes contains one bruised mango for every thirty mango in the crate. If three out of every four bruised mango are considerably unsaleable and there are 12 unsaleable mangoes in the crate then how many mango are there in the crate?
Answer Choices: (A) 321 (B) 430 (C) 530 (D) 172 (E) 480<|i... | 1,055 |
<|im_start|>user
The speed of a train is 90 kmph. What is the distance covered by it in 30 minutes?
Answer Choices: (A) 15 (B) 66 (C) 77 (D) 52 (E) 45<|im_end|>
<|im_start|>assistant
<think>
</think>
90 * 30/60 = 45 kmph
The answer is E<|endoftext|> | 74,373 |
<|im_start|>user
The sun emits energy in the form of what?
Answer choice: (A) mechanical radiation (B) electromagnetic radiation (C) particles radiation (D) microwave radiation<|im_end|>
<|im_start|>assistant
<think>
</think>
Figure 5.10 The sun emits energy in the form of electromagnetic radiation. This radiation ex... | 5,346 |
<|im_start|>user
Xavier, Yvonne, and Zelda each try independently to solve a problem. If their individual probabilities for success are 1/4, 2/3 and 5/8, respectively, what is the probability that Xavier and Yvonne, but not Zelda, will solve the problem?
Answer Choices: (A) 1/16 (B) 7/8 (C) 9/64 (D) 5/64 (E) 3/64<|im_e... | 76,330 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Guide words appear on each page of a dictionary. They tell you the first word and last word on the page. The other words on the page come between the guide words in alphabetical order.
To put words in alphabetical order, put... | 3,667 |
<|im_start|>user
Given the equation 7^p-3^(-p)=6.7, which of the following options is the correct value of p?
Answer Choices: (A) 1 (B) 2 (C) 3 (D) 5 (E) 0<|im_end|>
<|im_start|>assistant
<think>
</think>
Plugging in the various option into the equation to find out which is correct:
7^p-3^(-p)=6.7
7^1-3^(-1)=6.7
The ... | 79,731 |
<|im_start|>user
In a stack of boards at a lumber yard, the 20th board counting from the top of the stack is immediately below the 15th board counting from the bottom of the stack. How many boards are in the stack?
Answer Choices: (A) 38 (B) 36 (C) 35 (D) 34 (E) 33<|im_end|>
<|im_start|>assistant
<think>
</think>
Cou... | 60,557 |
<|im_start|>user
What is the probability that an integer selected randomly from 101 to 550, inclusive, begins with 1, 2, or 3, and ends with 4, 5, or 6?
Answer Choices: (A) 1/5 (B) 2/5 (C) 3/5 (D) 1/4 (E) 1/3<|im_end|>
<|im_start|>assistant
<think>
</think>
Total = 550-101+1= 450
Desired values= 3*10*3 = 90
P(A) = 90... | 7,068 |
<|im_start|>user
There are 11 stamps from which two stamps will be selected. We have five stamps which are the same as five of the stamps which could be selected. What is the probability that the two stamps selected will be different from the stamps that we have?
Answer Choices: (A) 3/17 (B) 4/19 (C) 5/21 (D) 6/22 (E) ... | 88,978 |
<|im_start|>user
What is the structure which hangs from a newly hatched salmon larva?
Answer choice: (A) air sac (B) liquid sac (C) yolk sac (D) stomach sac<|im_end|>
<|im_start|>assistant
<think>
</think>
Salmon Larva. This newly hatched salmon larva doesn’t look very fish-like. The structure hanging from the larva ... | 11,058 |
<|im_start|>user
21 people are there, they are shaking hands together, how many hand shakes possible,if they are in pair of cyclic sequence.
Answer Choices: (A) 19 (B) 20 (C) 21 (D) 22 (E) 23<|im_end|>
<|im_start|>assistant
<think>
</think>
in case of cycle no of handshakes = no of persons
hence ans = 21
The answer i... | 61,918 |
<|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... | 1,113 |
<|im_start|>user
Find the one which does not belong to that group?
Answer Choices: (A) 16 (B) 36 (C) 27 (D) 64 (E) 4<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
16, 36, 64 and 4 are perfect squares but not 27.
The answer is C<|endoftext|> | 3,921 |
<|im_start|>user
A wheel that has 2 cogs is meshed with a larger wheel of 14 cogs. When the smaller wheel has made 21 revolutions, then the number of revolutions mad by the larger wheel is:
Answer Choices: (A) 49 (B) 4 (C) 12 (D) 3 (E) 27<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the required number of rev... | 22,319 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Question:
In 1774, people across the colonies knew that they needed to respond to the Intolerable Acts. However, they disagreed about how to respond. How did they resolve this disagreement?
Answer Choices: (A) They took a ... | 3,504 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
According to Newton's third law, for every force, there is an equal and opposite force. This means that if one object is applying a force on a second object, the second object must also be applying a force on the first objec... | 990 |
<|im_start|>user
Given a unit square, two points are chosen uniformly at random within the square. Compute
the probability that the line segment connecting those two points touches both diagonals of the
square.
Answer Choices: (A) 1/4 (B) 2/4 (C) 3/4 (D) 4/4 (E) 5/4<|im_end|>
<|im_start|>assistant
<think>
</think>
If... | 48,725 |
<|im_start|>user
A person was asked to state his age in years. His reply was, "Take my age three years hence, multiply it by 3 and then subtract three times my age three years ago and you will know how old I am." What was the age of the person?
Answer Choices: (A) 18 years (B) 12 years (C) 5 years (D) 9 years (E) 21 ye... | 60,902 |
<|im_start|>user
How many 4-digit numbers are completely divisible by 7?
Answer Choices: (A) 1354 (B) 1286 (C) 1178 (D) 1224 (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution: 4- digit numbers divisible by 7 are: 1001, 1008, 1015….. 9996.
This is an A.P. in which a=1001, d=7, l=9996.
Let the number o... | 37,076 |
<|im_start|>user
A 50-liter solution of alcohol and water is 5 percent alcohol. If 1.5 liters of alcohol and 8.5 liters of water are added to this solution, what percent of the solution produced is alcohol?
Answer Choices: (A) 5.5% (B) 6% (C) 6 1/3% (D) 6 2/3% (E) 7%<|im_end|>
<|im_start|>assistant
<think>
</think>
5... | 63,094 |
<|im_start|>user
Three men sit at a table. One dollar is placed in front of each of them. When a buzzer sounds, the first man to touch the money in front of him keeps the money that is in front of him, while the other two receive nothing. If none of the three men touches the money in front of them, then the amount of m... | 30,877 |
<|im_start|>user
The average of 9 observations was 9, that of the 1st of 5 being 10 and that of the last 5 being 8. What was the 5th observation?
Answer Choices: (A) 6 (B) 9 (C) 8 (D) 2 (E) 3<|im_end|>
<|im_start|>assistant
<think>
</think>
1 to 9 = 9 * 9 = 81
1 to 5 = 5 * 10 = 50
5 to 9 = 5 * 8 = 40
5th = 50 + 40 = ... | 88,570 |
<|im_start|>user
Find the value of x: x² + 6x +9.
Answer Choices: (A) 9 (B) -1 (C) -3 (D) 3 (E) -9<|im_end|>
<|im_start|>assistant
<think>
</think>
That quadratic is factored as follows:
x² + 6x + 9 = (x + 3)(x + 3).
Lesson 17.
Now, it is easy to see that that both factors will be 0 when x = -3.
The solution is:
x = ... | 23,793 |
<|im_start|>user
If x^6 + y^6 = 500, then the greatest possible value of x is between
Answer Choices: (A) 0 and 3 (B) 3 and 6 (C) 6 and 9 (D) 9 and 12 (E) 12 and 15<|im_end|>
<|im_start|>assistant
<think>
</think>
for the greatest possible value of x^6, we must minimize the value of y^6 i.e. lets say y^6 = 0
then we ... | 5,294 |
<|im_start|>user
If the average (arithmetic mean) of x, x + 2, and x + 4 is 93, what is the value of x?
Answer Choices: (A) 95 (B) 91 (C) 102 (D) 101 (E) 85<|im_end|>
<|im_start|>assistant
<think>
</think>
AM of x, x + 2, and x + 4 = x + (x + 2) + (x + 4) / 3 = 3x + 6 /3 = x + 2
Given that x + 2 = 93
x = 91
The answe... | 1,357 |
<|im_start|>user
If (5^9)(9^5)=3(15^x), what is the value of x?
Answer Choices: (A) 7 (B) 9 (C) 11 (D) 13 (E) 15<|im_end|>
<|im_start|>assistant
<think>
</think>
(5^9)(9^5)=3(15^x)
=> 5^9 * 3^10 = 3 * 3^x * 5^x
=> 5^9 * 3^10 = 3^(x+1) * 5^x
Value of x = 9
The answer is B<|endoftext|> | 66,907 |
<|im_start|>user
x, a, z, and b are single digit positive integers. x = ¼ a. z = ¼ b. (10a + b) + (10x + z) could be equal to
Answer Choices: (A) 33 (B) 36 (C) 44 (D) 63 (E) 95<|im_end|>
<|im_start|>assistant
<think>
</think>
1) firstly we are not given that all are different integers..
2) since each is a positive si... | 94,969 |
<|im_start|>user
Mathew is planning a vacation trip to London next year from today for 5 days, he has calculated he would need about $3,000 for expenses, including a round-trip plane ticket from L.A to London. He nets around $1,500 monthly in gross income, after all bills are paid, he is left with about $350 each month... | 10,310 |
<|im_start|>user
How many words can be formed by using all the letters of the word “DAUGHTER” so that vowels always come together & vowels are never together?
Answer Choices: (A) 2310 (B) 4510 (C) 5231 (D) 2351 (E) 4320<|im_end|>
<|im_start|>assistant
<think>
</think>
Given word contains 8 different letters
When the ... | 11,176 |
<|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... | 3,628 |
<|im_start|>user
If four coins are tossed, the probability of getting two heads and two tails is -.
Answer Choices: (A) 3/8 (B) 6/11 (C) 2/5 (D) 4/5 (E) 5/11<|im_end|>
<|im_start|>assistant
<think>
</think>
Since four coins are tossed, sample space = 24
Getting two heads and two tails can happen in six ways.
n(E) = s... | 18,819 |
<|im_start|>user
Points A, B, and, C have xy-coordinates (2,0), (8,12), and (14,0), respectively. Points X, Y, and Z have xy-coordinates (6,0), (8,4), and (10,0), respectively. What fraction S of the area of triangle ABC is the area of triangle XYZ?
Answer Choices: (A) 1/9 (B) 1/8 (C) 1/6 (D) 1/5 (E) 1/3<|im_end|>... | 59,232 |
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