text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
|---|---|
<|im_start|>user
The arithmetic mean of the scores of a group of students in a test was 72. The brightest 20% of them secured a mean score of 80 and the dullest 25% a mean score of 31. The mean score of remaining 55% is?
Answer Choices: (A) A) 81.40 (B) B) 81.70 (C) C) 87.72 (D) D) 81.10 (E) E) 81.29<|im_end|>
<|im_sta... | 61,293 |
<|im_start|>user
What is the 8th digit to the right of the decimal point in the decimal expansion of 1/37?
Answer Choices: (A) 0 (B) 2 (C) 4 (D) 7 (E) 9<|im_end|>
<|im_start|>assistant
<think>
</think>
1/37=0.027027... So, we have a repeating cycle of 027. Every third digit (2nd, 4th, 6th, ...) to the right of t... | 19,826 |
<|im_start|>user
A certain company employs 9 senior officers and 4 junior officers. If a committee is to be created, that is made up of 3 senior officers and 1 junior officer, how many different committee are possible?
Answer Choices: (A) 8 (B) 24 (C) 58 (D) 336 (E) 210<|im_end|>
<|im_start|>assistant
<think>
</think>... | 79,536 |
<|im_start|>user
A committee is reviewing a total of 30x black-and-white films and 6y color films for a festival. If the committee selects y/x% of the black-and-white films and all of the color films, what fraction of the selected films are in color?
Answer Choices: (A) 22/21 (B) 20/21 (C) 23/21 (D) 25/21 (E) 28/21<|im... | 84,055 |
<|im_start|>user
If 4 women can colour 48 m long cloth in 2 days, then 6 men can colour 36 m long cloth in?
Answer Choices: (A) day (B) day (C) days (D) days (E) days<|im_end|>
<|im_start|>assistant
<think>
</think>
The length of cloth painted by one woman in one day = 48 / 4 × 2 = 6 m
No. of days required to paint 3... | 2,567 |
<|im_start|>user
Double of Quarter of 1 percent written as a decimal is :
Answer Choices: (A) 0.003 (B) 0.0005 (C) 0.25 (D) 0.005 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
Solution: (2)*(1/4)*1% = 2*(1/4 * 1/100) = 1/400 = 2*0.0025 = 0.005.
The answer is D<|endoftext|> | 18,091 |
<|im_start|>user
7 carpet-weavers can weave 7 carpets in 7 days. At the same rate, how many carpets would be woven by 14 carpet-weavers in 14 days?
Answer Choices: (A) 14 (B) 28 (C) 21 (D) 35 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
Solution: Let the required number of carpets ... | 89,947 |
<|im_start|>user
Express a speed of 36 kmph in meters per second?
Answer Choices: (A) 10 (B) 88 (C) 66 (D) 81 (E) 121<|im_end|>
<|im_start|>assistant
<think>
</think>
36 * 5/18 = 10 mps
The answer is A<|endoftext|> | 12,429 |
<|im_start|>user
A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?
Answer Choices: (A) 453 (B) 568 (C) 155 (D) 150 (E) 171<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed=(60 * 5/18) m/sec = (50/3) m/sec Length of the train = (Speed x Time)
= (50/3 * 9) m
= ... | 34,511 |
<|im_start|>user
What will be the difference in simple and compound interest on 4000 after three years at the rate of 10 percent per annum?
Answer Choices: (A) 160 (B) 42 (C) 62 (D) 124 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
For 3 years:
Diff.=Sum×(rate)2(300+rate)/(100)3
= 4000×10×10×310/... | 92,439 |
<|im_start|>user
How many electrons can be accommodated in the first electron shell's orbital?
Answer choice: (A) none (B) 1 (C) 3 (D) 2<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is D<|endoftext|> | 5,141 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
A force is a push or a pull.
A force can make an object start moving or stop an object that is moving. A force can also make an object speed up, slow down, or change direction.
Forces can be different sizes.
Think about tryi... | 1,982 |
<|im_start|>user
The length of the bridge, which a train 130 m long and traveling at 45 km/hr can cross in 30 sec is?
Answer Choices: (A) 257 m (B) 632 m (C) 245 m (D) 737 m (E) 243 m<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = 45 * 5/18 = 25/2 m/sec.
Time = 30 sec
Let the length of bridge be x meters.
T... | 58,580 |
<|im_start|>user
Bill made a profit of 10% by selling a product. If he had purchased that product for 10% less and sold it at a profit of 30%, he would have received $ 35 more. What was his original selling price?
Answer Choices: (A) $770 (B) $550 (C) $700 (D) $1100 (E) $840<|im_end|>
<|im_start|>assistant
<think>... | 1,072 |
<|im_start|>user
An agent, gets a commission of 2.5% on the sales of cloth. If on a certain day, he gets Rs. 15 as commission, the cloth sold through him on that day is worth
Answer Choices: (A) 333 (B) 600 (C) 887 (D) 299 (E) 132<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Let the total sale be Rs.... | 20,036 |
<|im_start|>user
If the two-digit integers K and N are positive and have the same digits, but in reverse order, which of the following CANNOT be the sum of K and N?
Answer Choices: (A) 181 (B) 165 (C) 121 (D) 99 (E) 44<|im_end|>
<|im_start|>assistant
<think>
</think>
Since the question asks for the answer that CANNOT... | 11,212 |
<|im_start|>user
Ten years ago, P was half of Q in age. If the ratio of their present ages is 3:4, what will be the total of their present ages
Answer Choices: (A) 35 (B) 34 (C) 45 (D) 25 (E) 26<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Let the present age of P and Q be 3x and 4x respectively.
Ten... | 37,514 |
<|im_start|>user
The average of the marks of 12 students in a class is 36. If the marks of each student are doubled, find the new average?
Answer Choices: (A) 72 (B) 23 (C) 29 (D) 26 (E) 13<|im_end|>
<|im_start|>assistant
<think>
</think>
Sum of the marks for the 12 students
= 12 * 36 = 432.
The marks of each student... | 90,475 |
<|im_start|>user
In how many ways can 5 white and 2 black chess pieces be arranged in a row such that they occupy alternate places? Assume that the pieces are distinct.
Answer Choices: (A) 120 (B) 60 (C) 10 (D) 240 (E) 30<|im_end|>
<|im_start|>assistant
<think>
</think>
5 white chess pieces can be arranged in 5! ways... | 91,582 |
<|im_start|>user
If k is a positive integer, which of the following must be divisible by 26?
Answer Choices: (A) (k – 4) (k) (k + 3) (k + 7) (B) (k – 4) (k – 2) (k + 3) (k + 5) (C) (k – 2) (k + 3) (k + 5) (k + 6) (D) (k + 1) (k + 3) (k + 5) (k + 7) (E) (k – 3) (k + 1) (k + 4) (k + 6) <|im_end|>
<|im_start|>ass... | 10,864 |
<|im_start|>user
In an intercollegiate competition that lasted for 3 days, 115 students took part on day 1, 80 on day 2 and 100 on day 3. If 50 took part on day 1 and day 2 and 70 took part on day 2 and day 3 and 40 took part on all three days, how many students took part only on day 3?
Answer Choices: (A) 20 (B) 35 (C... | 2,454 |
<|im_start|>user
Each side of a certain parallelogram has length 8. If the area of the parallelogram is 16. Which of the following is the measure of one of its angles?
Answer Choices: (A) 14.5 (B) 45 (C) 60 (D) 90 (E) 120<|im_end|>
<|im_start|>assistant
<think>
</think>
Ans is 30deg
area of a parallelogram = b*h
b*h=... | 80,520 |
<|im_start|>user
If x + y = 9 and x – y = 3, then x^2 - y^2 =
Answer Choices: (A) -4 (B) 4 (C) 10 (D) 27 (E) 40<|im_end|>
<|im_start|>assistant
<think>
</think>
The fastest approach has already been shown. Here's one more option.
Given:
x + y = 9
x – y = 3
Add the two equations to get: 2x = 12, which means x = 6
If x... | 8,084 |
<|im_start|>user
If x is a positive integer less than 30, is 'x' an odd number?
Answer Choices: (A) 87 (B) 65 (C) 77 (D) 56 (E) 19<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is B<|endoftext|> | 28,861 |
<|im_start|>user
If 40% of a number is equal to two-thirds of another number, what is the ratio of the first number to the second?
Answer Choices: (A) 7 : 3 (B) 3 : 7 (C) 2 : 5 (D) 5 : 3 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Suppose the first number is x and the second numbery.
Therefore,... | 73,399 |
<|im_start|>user
A rectangular lawn of dimensions 90 m * 60 m has two roads each 10 m wide running in the middle of the lawn, one parallel to the length and the other parallel to the breadth. What is the cost of traveling the two roads at Rs.3 per sq m?
Answer Choices: (A) A) 4200 (B) B) 930 (C) C) 9309 (D) D) 3900 (E)... | 72,692 |
<|im_start|>user
A man can row at 5 kmph in still water. If the velocity of current is 1 kmph and it takes him 2 hour to row to a place and come back, how far is the place?
Answer Choices: (A) 2.4 km (B) 4.8 km (C) 3.4 km (D) 4.4 km (E) 5.6 km<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Speed in sti... | 96,080 |
<|im_start|>user
The ratio of a compound, by weight, consisting only of substances x, y, and z is 4:6:10,
respectively. Due to a dramatic increase in the surrounding temperature, the composition of the
compound is changed such that the ratio of x to y is halved and the ratio of x to z is tripled. In the
changed compoun... | 88,921 |
<|im_start|>user
A Mersenne number is a positive integer that is one less than any power of 2. A Mersenne prime is a Mersenne number that also happens to be prime. The largest known prime number, 2^(43112609) - 1, is a Mersenne prime. If the largest known Mersenne prime were multiplied by the smallest Mersenne prime, w... | 24,793 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Scientists sort animals with similar traits into groups. This is called classification. Classification helps scientists learn about how animals live.
How do scientists classify animals? First, they make observations about an... | 1,639 |
<|im_start|>user
Three unbased coins are tossed. the probability of getting at most two head is ?
Answer Choices: (A) 1/2 (B) 7/8 (C) 3/4 (D) 1/5 (E) 2/3<|im_end|>
<|im_start|>assistant
<think>
</think>
S={TTT,TTH,THT,HTT,THH,HTH,HHT,HHH}
E be the event of getting at least two head is {THH,HTH,HHT,TTT,TTH,THT,HTT}
P(... | 76,705 |
<|im_start|>user
If Q is an odd number and the median of Q consecutive integers is 125, what is the largest of these integers?
Answer Choices: (A) (Q - 1) /2 + 125 (B) Q/2 + 119 (C) Q/2 + 125 (D) (Q + 119) /2 (E) (Q + 125) /2<|im_end|>
<|im_start|>assistant
<think>
</think>
Consider the easiest case, say Q=3, then;
S... | 28,213 |
<|im_start|>user
Jacob brought a scooter for a certain sum of money. He spent 10% of the cost on repairs and sold the scooter for a profit of Rs. 1100. How much did he spend on repairs if he made a profit of 20%?
Answer Choices: (A) 309 (B) 508 (C) 389 (D) 378 (E) 500<|im_end|>
<|im_start|>assistant
<think>
</think>
... | 50,745 |
<|im_start|>user
If the average (arithmetic mean) of a and b is 150, and the average of b and c is 90, what is the value of a − c?
Answer Choices: (A) −220 (B) −100 (C) 120 (D) 135 (E) It cannot be determined from the information given<|im_end|>
<|im_start|>assistant
<think>
</think>
a+b = 300
b+c = 180
a-c = 120.
IM... | 65,468 |
<|im_start|>user
A train 100 m long crosses a platform 125 m long in 10 sec; find the speed of the train?
Answer Choices: (A) 81 (B) 77 (C) 54 (D) 33 (E) 99<|im_end|>
<|im_start|>assistant
<think>
</think>
D = 100 + 125 = 225
T = 10
S = 225/10 * 18/5 = 81 kmph
The answer is A<|endoftext|> | 28,437 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Question:
Ancient China was ruled by dynasties. A dynasty is a line of rulers from the same family, which i often called the royal family. Starting in 1046 BCE, rulers from the Zhou (pronounced JO) dynasty claimed to have ... | 6,045 |
<|im_start|>user
The average age of the mother and her six children is 12 year which is reduced by 5 years if the age of the mother is excluded. how old is the mother ?
Answer Choices: (A) 40 year (B) 42 year (C) 48 year (D) 50 year (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution
age of th... | 57,794 |
<|im_start|>user
Find large number from below question The difference of two numbers is 1355. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder
Answer Choices: (A) 1235 (B) 1345 (C) 1678 (D) 1767 (E) 1623<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the smaller number ... | 71,632 |
<|im_start|>user
A certain auto manufacturer sold 2% fewer vehicles in 2007 than in 2006. If the manufacturer sold 2.3 million vehicles in 2006, how many vehicles, to the nearest 10,000, did the manufacturer sell in 2007?
Answer Choices: (A) 22,50,000 (B) 22,80,000 (C) 22,90,000 (D) 22,95,000 (E) 23,00,000<|im_end|>
<|... | 33,844 |
<|im_start|>user
If m is an integer such that (-2)^2m=2^(18-m) then m=?
Answer Choices: (A) 1 (B) 2 (C) 3 (D) 5 (E) 6<|im_end|>
<|im_start|>assistant
<think>
</think>
(-2)^(2m) = 4^m
and
2^(18-m) = 4^((18-m)/2)
Therefore,
m = (18-m)/2
2m = 18 - m
m = 6
The answer is E<|endoftext|> | 25,858 |
<|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 12 km/hr completes one round in 8 minutes, then the area of the park (in sq. m) is:
Answer Choices: (A) 153601 (B) 153600 (C) 153602 (D) 153603 (E) 153604<|im_end... | 29,124 |
<|im_start|>user
A,B,C can complete a piece of work in 24,6 and 12 days respectively. Working together, they will complete the same work in how many days?
Answer Choices: (A) 13/8 (B) 26/11 (C) 24/7 (D) 12/13 (E) 1/2<|im_end|>
<|im_start|>assistant
<think>
</think>
(A+B+C)'s 1day work = (1/24)+(1/6)+(1/12) = 7/24
A,B... | 51,268 |
<|im_start|>user
How many seconds will a 500 meter long train moving with a speed of 63 km/hr, take to cross a man walking with a speed of 3 km/hr in the direction of the train ?
Answer Choices: (A) 42 (B) 50 (C) 30 (D) 28 (E) 26<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Distance = 500m
Speed = 63... | 30,595 |
<|im_start|>user
we have 6 weights one of 2 kg one of 3 kg one of 5 kg one of 1 kg one of 0.5 kg one of 0.25 kg by using only two weight how many wight u can weight
Answer Choices: (A) 11 (B) 12 (C) 13 (D) 14 (E) 15<|im_end|>
<|im_start|>assistant
<think>
</think>
select 2 weight out of 6, 6C2=15
The answer is E<|end... | 48,561 |
<|im_start|>user
A, B and C enter into partnership. A invests some money at the beginning, B invests double the amount after 6 months, and C invests thrice the amount after 8 months. If the annual gain be Rs.15000. A's share is?
Answer Choices: (A) s.7500 (B) s.7200 (C) s.6000 (D) s.5000 (E) s.6750<|im_end|>
<|im_start... | 36,618 |
<|im_start|>user
Two bus tickets from city A to B and three tickets from city A to C cost Rs. 385 but three tickets from city A to B and two tickets from city A to C cost Rs. 365. What are the fares for cities B and C from A ?
Answer Choices: (A) s. 4, Rs. 23 (B) s. 13, Rs. 17 (C) s. 15, Rs. 14 (D) s. 17, Rs. 13 (E) s.... | 26,327 |
<|im_start|>user
Tim came second in Math. When his mother asked him how much he had scored, he answered that he got the sum of the first 11 even numbers. His mother immediately worked out the answer. How much had he scored in Math?
Answer Choices: (A) 80 (B) 190 (C) 132 (D) 170 (E) 60<|im_end|>
<|im_start|>assistant
<t... | 21,173 |
<|im_start|>user
If S is the sum of reciprocals of a list of consecutive integers from 25 to 34, inclusive, S is approximately equal to
Answer Choices: (A) 0.1 (B) 0.2 (C) 0.33 (D) 0.4 (E) 0.5<|im_end|>
<|im_start|>assistant
<think>
</think>
We need to find the approximate value of 1/25+1/26+1/27+1/28+1/29+1/30+1/31+... | 87,501 |
<|im_start|>user
A tour group of 25 people paid a total of $620 for entrance to a museum. If this price included a 5% sales tax, and all the tickets cost the same amount, what was the face value of each ticket price without the sales tax?
Choices
Answer Choices: (A) $22 (B) $23.56 (C) $24 (D) $25.20 (E) $30<|im_end|>
<... | 36,368 |
<|im_start|>user
Kate and Danny each have $10. Together, they flip a fair coin 5 times. Every time the coin lands on heads, Kate gives Danny $1. Every time the coin lands on tails, Danny gives Kate $1. After the five coin flips, what is the probability M that Kate has more than $10 but less than $15?
Answer Choices: (A... | 13,342 |
<|im_start|>user
The distance between two cities A and B is 330 km. A train starts from A at 8 a.m. and travels towards B at 60 km/hr. Another train starts from B at 9 a.m. and travels towards A at 75 km/hr. At what time do they meet?
Answer Choices: (A) 12 a.m (B) 13 a.m (C) 14 a.m (D) 11 a.m (E) 16 a.m<|im_end|>
<|im... | 8,717 |
<|im_start|>user
Thomson’s plum pudding model shows the structure of what?
Answer choice: (A) nucleus (B) cell (C) DNA (D) atom<|im_end|>
<|im_start|>assistant
<think>
</think>
Following the discovery of the electron, J. J. Thomson developed what became known as the “ plum pudding ” model in 1904. Plum pudding is an ... | 6,025 |
<|im_start|>user
What is x if x + 2y = 12 and y = 3?
Answer Choices: (A) A) 10 (B) B) 8 (C) C) 6 (D) D) 4 (E) E) 2<|im_end|>
<|im_start|>assistant
<think>
</think>
x = 12 - 2y
x = 12 - 6.
x = 6
The answer is C<|endoftext|> | 51,757 |
<|im_start|>user
3+3.3+333+33.33=?
Answer Choices: (A) 362.33 (B) 372.63 (C) 702.33 (D) 702 (E) None of them<|im_end|>
<|im_start|>assistant
<think>
</think>
3
3.3
333
33.33
----------
372.63
----------
The answer is B<|endoftext|> | 16,002 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
A fact is something that can be proved to be true.
The month of July has more days than the month of June.
This is a fact. It can be proved by looking at a calendar and counting the number of days in each month.
An opinion i... | 4,937 |
<|im_start|>user
The apartment on King-Williams street is an asset that its value is tramping about. From the year 1973 to 1983 it's value decreased by 16% and from 1983 to 1993 it's value increased by 16%. What is the value of the asset in 1993 if in 1973 it was worth $55,000?
Answer Choices: (A) $38,796. (B) $40,000.... | 7,299 |
<|im_start|>user
The length of the train which is moving at 66 km/hr, can crosses a bridge of length 345 m in 60 sec, is ?
Answer Choices: (A) 575 m. (B) 645 m. (C) 555 m. (D) 655 m. (E) 755 m.<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = [66 X 5/18] m/sec = [55/3] m/sec Time = 60 sec Let the length of tr... | 51,470 |
<|im_start|>user
In a friendship gang Andrew has 8 gang, in how many ways can he invite one or more of the gang to his house?
Answer Choices: (A) 230 (B) 255 (C) 259 (D) 265 (E) 270<|im_end|>
<|im_start|>assistant
<think>
</think>
Andrew can select one or more than one of his 8 gang.
=> Required number of ways = 28 –... | 61,779 |
<|im_start|>user
The speed of a boat in still water is 40kmph and the speed of the current is 20kmph. Find the speed downstream and upstream?
Answer Choices: (A) 22 kmph (B) 40 kmph (C) 20 kmph (D) 15 kmph (E) 23 kmph<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed downstream = 40 + 20 = 60 kmph
Speed upstream... | 56,646 |
<|im_start|>user
The expression 10^14−130 is divisible by all of the following integers EXCEPT
Answer Choices: (A) 9 (B) 2 (C) 4 (D) 8 (E) 11<|im_end|>
<|im_start|>assistant
<think>
</think>
Yeah. I agree this question has two
The answer is A<|endoftext|> | 7,395 |
<|im_start|>user
When a train travels at a speed of 70kmph,it reaches the destination on time.when the same train travels at a speed of 50kmph,it reaches its destination 15min late.what is the length of journey?
Answer Choices: (A) 37.5km (B) 50.5km (C) 60km (D) 85.5km (E) 95km<|im_end|>
<|im_start|>assistant
<think>
... | 64,916 |
<|im_start|>user
A box contains five bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that at least one bulb is good?
Answer Choices: (A) 256/625 (B) 1/6 (C) 369/625 (D) 1/5 (E) 4/5<|im_end|>
<|im_start|>assistant
<think>
</think>
Required probability
= 1 - 256/625
= 369/62... | 82,130 |
<|im_start|>user
A train 270 m long passed a pole in 27 sec. How long will it take to pass a platform 650 m long?
Answer Choices: (A) 92 sec (B) 89 sec (C) 54 sec (D) 27 sec (E) 22 sec<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = 270/27 = 10 m/sec.
Required time = (270 + 650)/10
= 92 sec.
The answer is A<... | 72,638 |
<|im_start|>user
A circular path of 19 m radius has marginal walk 2 m wide all round it. Find the cost of leveling the walk at 25p per m2?
Answer Choices: (A) rs.49.25 (B) rs.40.50 (C) rs.44.20 (D) rs.62.85 (E) rs.43.10<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
π (21^2 - 19^2) = 22/7 * (441-361) =... | 48,728 |
<|im_start|>user
A two member committee comprising of one male and one female member is to be constitute out of five males and three females. Amongst the females. Ms. A refuses to be a member of the committee in which Mr. B is taken as the member. In how many different ways can the committee be constituted ?
Answer Cho... | 676 |
<|im_start|>user
Given two sets A = {1,1,6,6,7,7} and B = {0,1}, if one number is chosen from each set at random, what is the probability that the sum of both numbers is an even number
Answer Choices: (A) 1/4 (B) 1/6 (C) 1/2 (D) 1/3 (E) 1/5<|im_end|>
<|im_start|>assistant
<think>
</think>
One way to look at it:
The n... | 16,825 |
<|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... | 6,083 |
<|im_start|>user
If a boat goes 6 km upstream in 90 minutes and the speed of the stream is 3 kmph, then the speed of
the boat in still water is
Answer Choices: (A) 12 kmph (B) 7 kmph (C) 14 kmph (D) 15 kmph (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Rate upstream = (6/90)*60 kmh =... | 52,292 |
<|im_start|>user
A farmer wishes to start a 100 sq. m. rectangular vegetable garden. Since he has only 30 meter barbed wire, he fences three sides of the garden letting his house compound wall act as the fourth side fencing. Then find the dimension of the garden.
Answer Choices: (A) 20 m * 58 m (B) 20 m * 7 m (C) 20 m ... | 39,411 |
<|im_start|>user
A rectangular box of volume x has width, depth and height in the ratio of 2:3:3 (in that order). What is the width as a function of x?
Answer Choices: (A) (2x/12) ^(1/2) (B) (x/2) ^(1/2) (C) (x/3) ^(1/2) (D) (2x/9) ^(1/2) (E) (x) ^(1/2) <|im_end|>
<|im_start|>assistant
<think>
</think>
We are giv... | 28,842 |
<|im_start|>user
Tough and Tricky questions: Word Problems.
A salesman's income consists of commission and base salary. His weekly income totals over the past 7 weeks have been $406, $413, $420, $436, $395, $410, $360. What must his average (arithmetic mean) income over the next two weeks be to increase his average wee... | 89,207 |
<|im_start|>user
If 3 and 5 are prime numbers, which of the following CANNOT be the sum of 3 and 5?
Answer Choices: (A) 9 (B) 11 (C) 13 (D) 8 (E) 19<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is A<|endoftext|> | 38,650 |
<|im_start|>user
12 men take 18 days to complete a job whereas 12 women in 18 days can complete 5/6 of the same job. How many days will 10 men and 8 women together take to complete the same job?
Answer Choices: (A) 6 (B) 13 1â„2 (C) 13 (D) Data inadequate (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</th... | 42,860 |
<|im_start|>user
The ratio between the radii of a wheel and axle determines what?
Answer choice: (A) fundamental mechanical advantage (B) introduced mechanical advantage (C) theoretical mechanical advantage (D) ideal mechanical advantage<|im_end|>
<|im_start|>assistant
<think>
</think>
Just like it sounds, a wheel an... | 11,387 |
<|im_start|>user
In how many ways can the letters of the word ABROAD be rearranged such that the vowels always appear together?
Answer Choices: (A) 6!/2! (B) 3!*3! (C) 4!/2! (D) 4! *(3!/2!) (E) 3!*3!/2<|im_end|>
<|im_start|>assistant
<think>
</think>
In the word ABROAD , there are 3 vowels - 2 A's and O
Number of wa... | 45,240 |
<|im_start|>user
Pipes A and B can fill a tank in 5 and 6 hours respectively. Pipe C can empty it in 12 hours. If all the three pipes are opened together, then the tank will be filled in?
Answer Choices: (A) 1 13/17 hours (B) 2 8/11 hours (C) 3 9/17 hours (D) 4 1/2 hours (E) NONE<|im_end|>
<|im_start|>assistant
<think>... | 22,347 |
<|im_start|>user
The length of the bridge, which a train 140 meters long and travelling at 45 km/hr can cross in 30 seconds, is?
Answer Choices: (A) 388 (B) 267 (C) 235 (D) 288 (E) 261<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = (45 * 5/18) m/sec = (25/2) m/sec. Time = 30 sec. Let the length of bridge be... | 15,004 |
<|im_start|>user
Three table runners have a combined area of 224 square inches. By overlapping the runners to cover 80% of a table of area 175 square inches, the area that is covered by exactly two layers of runner is 24 square inches. What is the area of the table that is covered with three layers of runner?
Answer Ch... | 34,558 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Figures of speech are words or phrases that use language in a nonliteral or unusual way. They can make writing more expressive.
A euphemism is a polite or indirect expression that is used to de-emphasize an unpleasant topic.... | 3,939 |
<|im_start|>user
Find the value of (50+ 20/90) × 90
Answer Choices: (A) 2520 (B) 3520 (C) 4520 (D) 1520 (E) 1750<|im_end|>
<|im_start|>assistant
<think>
</think>
(4500+20)/90*90 = 4520
The answer is C<|endoftext|> | 76,291 |
<|im_start|>user
Keshav runs a factory in three shifts of eight hours each with 210 employees. In each shift minimum of 80 employees are required to run the factory effectively. No employees can be allowed to work for more than 16 hours a day. At least how many employees will be required to work for 16 hours every day?... | 37,834 |
<|im_start|>user
In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there?
Answer Choices: (A) 100 (B) 110 (C) 179 (D) 209 (E) 219<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
In a group of 6 boys an... | 67,460 |
<|im_start|>user
If −2≤w≤0 and n > 19, which of the following CANNOT be the value of wn?
Answer Choices: (A) -48 (B) -38 (C) -20 (D) 0 (E) 19<|im_end|>
<|im_start|>assistant
<think>
</think>
value of wn not equal to -19=E -19....Rest all are achievable
The answer is E<|endoftext|> | 74,873 |
<|im_start|>user
A man rows his boat 85 km downstream and 45 km upstream, taking 2 1/2 hours each time. Find the speed of the stream?
Answer Choices: (A) 2 kmph. (B) 4 kmph. (C) 5 kmph. (D) 8 kmph. (E) 7 kmph.<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed downstream = d/t = 85/(2 1/2) = 34 kmph
Speed upstrea... | 32,500 |
<|im_start|>user
Calculate the average marks of a student who obtained 56, 60, 72, 85 and 80 marks (out of 100) in Geography, History and Government, Art, Computer Science and Modern Literature ?
Answer Choices: (A) 71.6 (B) 70.6 (C) 80.6 (D) 60.6 (E) 50.6<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:... | 90,159 |
<|im_start|>user
A certain population of bacteria doubles every 10 minutes. If the number of bacteria in the population initially was 10^5, then what was the number in the population 70 minutes later?
Answer Choices: (A) 2(10^5) (B) 7(10^5) (C) (2^7) (10^5) (D) (10^7) (10^5) (E) (10^5) ^7<|im_end|>
<|im_start|>assi... | 45,722 |
<|im_start|>user
If x and y are integers and xy = 330, x or y must be divisible by which of the following?
Answer Choices: (A) 3 (B) 4 (C) 6 (D) 20 (E) 30<|im_end|>
<|im_start|>assistant
<think>
</think>
xy = 330 = 2 * 3 * 5 * 11
One of x or y must be divisible by 3.
The answer is A<|endoftext|> | 95,489 |
<|im_start|>user
The product of three consecutive numbers is 210. Then the sum of the smallest two numbers is ?
Answer Choices: (A) 11 (B) 15 (C) 20 (D) 38 (E) 56<|im_end|>
<|im_start|>assistant
<think>
</think>
Product of three numbers = 210
210 = 2*3*5*7 = 5*6*7.
So, the three numbers are 5, 6 and 7.
And Sum of sma... | 15,404 |
<|im_start|>user
A train covered half of the distance between stations A and B at the speed of 48 km/hr, but then it had to stop for 15 min. To make up for the delay, it increased its speed by 53 m/sec and it arrived to station B on time. Find the distance between the two stations and the speed of the train after the s... | 9,717 |
<|im_start|>user
When 3 fair coins are tossed simultaneously, in how many outcomes will the first and the last coin turn up heads?
Answer Choices: (A) 1 (B) 2 (C) 8 (D) 31 (E) 30<|im_end|>
<|im_start|>assistant
<think>
</think>
Total outcome is 2^3 = 8
Favourable cases = H_ H
The second place can be occupied by eithe... | 49,848 |
<|im_start|>user
Which of the following is closest in value to (9^10)-(9^2)?
Answer Choices: (A) 9^10 (B) 9^8 (C) 9^7 (D) 9^6 (E) 9^5<|im_end|>
<|im_start|>assistant
<think>
</think>
9^10 is much larger number than 9^2 and as we need approximate value then it's pretty much negligible in this case, so: (9^10)-(9^2) = ... | 50,378 |
<|im_start|>user
The amount of an investment will double in approximately 70/ p years, where p is the percent interest, compounded annually. If Thelma invests $ 40,000 in a long-term CD that pays 5 percent interest, compounded annually, what will be the approximate total value of the investment when Thelma is ready to ... | 64,930 |
<|im_start|>user
A bakery orders a shipment of apples and uses them all to make 150 apple pies. On slow days it takes 6 hours to sell all 150 apple pies. On busy days they sell 200 pies in 6 hours. Calculate how many hours one shipment of apples will last on a busy day.
Answer Choices: (A) 6.2 (B) 5 (C) 4.5 (D) 4.2 (E)... | 50,286 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Overall supply is the total amount of a good or service that producers make and sell. There are several things that can make overall supply go up or down. The table below shows how changes to these things might affect overal... | 327 |
<|im_start|>user
Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is:
Answer Choices: (A) 2:5 (B) 3:5 (C) 4:5 (D) 6:7 (E) 7:8<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Let the third number be x.
Then, first number = 120% of x =120X/100=6X/5
Second num... | 3,184 |
<|im_start|>user
What is the area of square field whose side of length 15 m?
Answer Choices: (A) 225 sq m (B) 220 sq m (C) 100 sq m (D) 30 sq m (E) 35 sq m<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
15 * 15 = 225 sq m
The answer is A<|endoftext|> | 5,541 |
<|im_start|>user
Cereal A is 10% sugar by weight, whereas healthier but less delicious Cereal B is 2% sugar by weight. To make a delicious and healthy mixture that is 5% sugar, what should be the ratio of Cereal A to Cereal B, by weight?
Answer Choices: (A) 3:5 (B) 2:7 (C) 1:6 (D) 1:4 (E) 1:3<|im_end|>
<|im_start|... | 2,784 |
<|im_start|>user
One morning is starts to snow at a constant rate. Later, at 6:00am, a snow plow sets out to clear a straight street. The plow can remove a fixed volume of snow per unit time, in other words its speed it inversely proportional to the depth of the snow. If the plow covered twice as much distance in the f... | 780 |
<|im_start|>user
Independent assortment occurs when what go to opposite poles of the cell in anaphase i?
Answer choice: (A) receptors (B) chromosomes (C) ballasts (D) prokaryotes<|im_end|>
<|im_start|>assistant
<think>
</think>
Independent assortment occurs when chromosomes go to opposite poles of the cell in anaphas... | 10,967 |
<|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... | 3,201 |
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