text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
|---|---|
<|im_start|>user
P and Q started a business investing Rs. 54,000 and Rs. 18,000 respectively. In what ratio the profit earned after 2 years be divided between P and Q respectively?
Answer Choices: (A) 3:1 (B) 4:3 (C) 5:4 (D) 6:5 (E) 17:4<|im_end|>
<|im_start|>assistant
<think>
</think>
P:Q = 54000 : 18000
= 3:1.
The ... | 35,761 |
<|im_start|>user
a man have 800kg mango.he found 8% of its mango are rotten.then how much mango is rotten?
Answer Choices: (A) 64 (B) 72 (C) 68 (D) 65 (E) 82<|im_end|>
<|im_start|>assistant
<think>
</think>
8% of 800kg =(800*8)/100.
=64 mangoes
The answer is A<|endoftext|> | 17,283 |
<|im_start|>user
If y/x is an integer, which of the following must also be an integer?
I. xy
II. x/y
III. x
Answer Choices: (A) I alone (B) II alone (C) None of the above (D) I and III (E) III alone<|im_end|>
<|im_start|>assistant
<think>
</think>
Lets take X = 1/6 and Y = 2/3
Then Y/X = 4 which is an integer.
But XY... | 41,004 |
<|im_start|>user
If f(x) = x^2/(x^5 - 1), what is f(1/x) in terms of f(x)?
Answer Choices: (A) 1/f(x) (B) -f(x) (C) 2/f(x) (D) f(x) (E) 3*f(x) <|im_end|>
<|im_start|>assistant
<think>
</think>
If x = 2 then f(x) = 4/31 and f(1/x) = -4/31 which is equal to -f(x)
The answer is B<|endoftext|> | 60,733 |
<|im_start|>user
A retailer bought a machine at a wholesale price of $80 and later on sold it after a 20% discount of the retail price. If the retailer made a profit equivalent to 20% of the wholesale price, what is the retail price of the machine?
Answer Choices: (A) $80 (B) $100 (C) $120 (D) 135 (E) 160<|im_end|>
<|i... | 94,705 |
<|im_start|>user
A certain city with a population of 180,000 is to be divided into 11 voting districts , and no district is to have a population that is more than 10 percent greater than the population of any other district What is the minimum possible population that the least populated district could have ?
Answer Ch... | 40,511 |
<|im_start|>user
97 students take part in a test and the median score is 85. Which of the following descriptions must be correct?
I. . At most 49 students’ score are equal to or more than 85..
II. At least 49 students’ score are equal to or more than 85.
III. At least 49 students’ score are less than 85.
Answer Choices... | 54,782 |
<|im_start|>user
The Arnolds purchased 550 square feet of Kentucky Gem sod at $1.79 per square foot and 270 square feet of Zelzea Blue sod at $1.38 per square foot. What was the approximate average price per square foot paid for all the sod?
Answer Choices: (A) $1.63 (B) $1.64 (C) $1.66 (D) $1.72 (E) $1.76<|im_end|>
<|... | 88,041 |
<|im_start|>user
A invested $400 in a business after 6 months B invested $200 in the business. End of the year if they got $100 as profit. Find A shares?
Answer Choices: (A) $100 (B) $75 (C) $20 (D) $120 (E) $80<|im_end|>
<|im_start|>assistant
<think>
</think>
A:B = 400*12:200*6
A:B = 4:1
A's share = 100*4/5 = $80
Th... | 35,181 |
<|im_start|>user
What are the most numerous and diverse biochemical compounds?
Answer choice: (A) proteins (B) lipids (C) acids (D) vitamins<|im_end|>
<|im_start|>assistant
<think>
</think>
Proteins are the most numerous and diverse biochemical compounds. They have many different functions.
The answer is A<|endoftext... | 1,915 |
<|im_start|>user
Find the simple interest on Rs.850 for 10 months at 7 paisa per month?
Answer Choices: (A) s.768 (B) s.329 (C) s.595 (D) s.600 (E) s.725<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
I = (850*10*7)/100 = 595
The answer is C<|endoftext|> | 55,245 |
<|im_start|>user
Sonika deposited Rs.6000 which amounted to Rs.9200 after 3 years at simple interest. Had the interest been 2% more. She would get how much?
Answer Choices: (A) 9660 (B) 6560 (C) 7560 (D) 9560 (E) 8560<|im_end|>
<|im_start|>assistant
<think>
</think>
(6000*3*2)/100 = 360
9200
--------
9560
The answer ... | 51,320 |
<|im_start|>user
Let x and y be positive integers, and r and s be single-digit positive integers. If x/y = r.sss, where the bar below the s indicates that the decimal repeats infinitely, which of the following CANNOT be true?=
Answer Choices: (A) y = 1.2 × 10^a, where a is a positive integer. (B) y = 1.5 × 10^b, wher... | 96,753 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Experiments can be designed to answer specific questions. When designing an experiment, you must identify the supplies that are necessary to answer your question. In order to do this, you need to figure out what will be test... | 1,324 |
<|im_start|>user
A train running at the speed of 54 km/hr crosses a pole in 9 seconds. What is the length of the train?
Answer Choices: (A) 135 (B) 278 (C) 255 (D) 150 (E) 287<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed=(54 * 5/18) m/sec = (15) m/sec Length of the train
= (Speed x Time) = (15 * 9) m
= 135 ... | 68,845 |
<|im_start|>user
On the blueprint there are 4 line measurements A, B, C, and D. If A:B = .437/.762, B:C = .762/3, C:D = 3/.146, then what is the total measurement for line B:D?
Answer Choices: (A) 3.937 (B) 1 (C) 5.219 (D) 20.547 (E) 20.548<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution
A : B = .437 : .762... | 57,412 |
<|im_start|>user
The HCF of two numbers is 12 and their difference is also 12. The numbers are
Answer Choices: (A) 66, 78 (B) 94, 106 (C) 70, 82 (D) 84, 96 (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
The difference of required numbers must be 12 and every number must be divisible by 12. The... | 95,597 |
<|im_start|>user
Two numbers are respectively 20% and 50% more than a third number. The percentage that is first of the second is?
Answer Choices: (A) 77% (B) 78% (C) 79% (D) 80% (E) 81%<|im_end|>
<|im_start|>assistant
<think>
</think>
I II III
120 150 100
150----------120
100-----------? => 80%
The answer is D<|endo... | 1,914 |
<|im_start|>user
Company S produces two kinds of radios: basic and deluxe. Of the radios produced by Company S last month, 2/3 were basic and the rest were deluxe. If it takes 7/5 as many hours to produce a deluxe radio as it does to produce a basic radio, then the number of hours it took to produce the deluxe radio la... | 12,012 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
When you review a fellow student's writing, try to make your feedback clear and specific. You can use questions such as the following to guide your feedback:
Ideas and development: Does the writer express a clear main idea a... | 2,233 |
<|im_start|>user
Look at this series: 35, 36, 42, __, 48, 54, 35, 60, ... What number should fill the blank?
Answer Choices: (A) 35 (B) 46 (C) 44 (D) 45 (E) 52<|im_end|>
<|im_start|>assistant
<think>
</think>
A
35
In this series, 6 is added to the previous number; the number 35 is inserted as every third number.
The ... | 29,571 |
<|im_start|>user
If the function f(x) is defined for all real numbers x as the maximum value of 2x + 4 and 16 + 6x, then for which one of the following values of x will f(x) actually equal 2x + 4 ?
Answer Choices: (A) –4 (B) –5 (C) –6 (D) –7 (E) –9<|im_end|>
<|im_start|>assistant
<think>
</think>
Since f(x) defines m... | 34,850 |
<|im_start|>user
What sort of digestion do animals engage in?
Answer choice: (A) external (B) essential (C) poison (D) internal<|im_end|>
<|im_start|>assistant
<think>
</think>
Virtually all animals have internal digestion of food. Animals consume other organisms and may use special tissues and organs to digest them.... | 9,720 |
<|im_start|>user
In a local school district, the high school and middle school each received r dollars toward funding for the student arts program. The high school enrolled 100 students and the middle school enrolled 50 students. Later, the middle school transferred s dollars to the high school so that they would have ... | 8,423 |
<|im_start|>user
What is x if x + 2y = 10 and y = 3?
Answer Choices: (A) 1 (B) 2 (C) 3 (D) 4 (E) 5<|im_end|>
<|im_start|>assistant
<think>
</think>
Substitute y by 3 in x + 2y = 10
x + 2(3) = 10
x + 6 = 10
If we substitute x by 4 in x + 6 = 10, we have 4 + 6 = 10. Hence
x = 4
The answer is D<|endoftext|> | 76,362 |
<|im_start|>user
one person Tharak speed with the current is 10 km/hr and the speed of the current is 3 km/hr. Tharak's speed against the current is:
Answer Choices: (A) 0 km/hr (B) 1 km/hr (C) 2 km/hr (D) 3 km/hr (E) 4 km/hr<|im_end|>
<|im_start|>assistant
<think>
</think>
Man's speed with the current = 10 km/hr
=> ... | 74,270 |
<|im_start|>user
Which of the following is satisfied with |x-4|+|x-3|<3?
Answer Choices: (A) 1<x<5 (B) 2<x<5 (C) 4/3<x<10/3 (D) 4/3<x<4 (E) 3<x<4<|im_end|>
<|im_start|>assistant
<think>
</think>
--> If there is addition when there are 2 absolute values, you can just ignore the middle. That is, |x-4|+|x-3|<3 -> |x-4+x... | 73,510 |
<|im_start|>user
Ayesha's father was 38 years of age when she was born while her mother was 36 years old when her brother four years younger to her was born. What is the difference between the ages of her parents?
Answer Choices: (A) 4 years (B) 8 years (C) 2 years (D) 4 years (E) 6 years<|im_end|>
<|im_start|>assistan... | 62,003 |
<|im_start|>user
If there are 35 red and blue marbles in a jar, and the ratio of red to blue marbles is 3:4, what is the probability that, drawing twice, you will select two red marbles if you return the marbles after each draw?
Answer Choices: (A) 1/25 (B) 2/25 (C) 3/25 (D) 4/25 (E) 6/49<|im_end|>
<|im_start|>assistan... | 95,272 |
<|im_start|>user
Paul sold an item for Rs.3600/- and incurred a loss of 40%. At what price should he have sold the item to have gained a profit of 40%?
Answer Choices: (A) 8000 (B) 8200 (C) 8400 (D) 8600 (E) 8800<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
40% loss means SP = 60% of CP
:. CP = Rs.36... | 26,148 |
<|im_start|>user
A train 360 m long runs with a speed of 45 km/hr. What time will it take to pass a platform of 140 m long?
Answer Choices: (A) 38 sec (B) 35 sec (C) 44 sec (D) 40 sec (E) none of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = 45 km/hr = 45 × (5/18) m/s
= 150/12 = 50/4 = 25/2 m/s
Total... | 60,799 |
<|im_start|>user
4,25,49,121
Answer Choices: (A) 149 (B) 169 (C) 189 (D) 209 (E) 219<|im_end|>
<|im_start|>assistant
<think>
</think>
13^2= 169 because follow sequence of square of the prime numbers
The answer is B<|endoftext|> | 3,922 |
<|im_start|>user
A triangle has three angles all with the same ratio to each other, 1:1:1. What is the angle measurement?
Answer Choices: (A) 45° (B) 60° (C) 75° (D) 90° (E) 105°<|im_end|>
<|im_start|>assistant
<think>
</think>
If the ratio is 1:1:1, and the total angle measurement is 180°, then the equation is... | 41,324 |
<|im_start|>user
Pipes P and Q can fill a tank in 10 and 20 hours respectively. Pipe Q can empty it in 24 hours. If all the three pipes are opened together, then the tank will be filled in what time?
Answer Choices: (A) 9 3/7 (B) 5 2/7 (C) 5 6/7 (D) 9 3/13 (E) 3<|im_end|>
<|im_start|>assistant
<think>
</think>
Pipe--... | 37,041 |
<|im_start|>user
A broker invested her own money in the stock market. During the first year, she increased her stock market wealth by 75 percent. In the second year, largely as a result of a slump in the stock market, she suffered a 30 percent decrease in the value of her stock investments. What was the net increase or... | 94,098 |
<|im_start|>user
George does 3/5th of a piece of work in 9 days. He then calls in Paul , and they finish the work in 4 days. How long would Paul take to do the work by himself?
Answer Choices: (A) 30 (B) 40 (C) 50 (D) 60 (E) 70<|im_end|>
<|im_start|>assistant
<think>
</think>
100% work will be done by George in 15 da... | 77,698 |
<|im_start|>user
Which of the following values of x do not satisfy the inequality x2 - 3x + 2 > 0 at all ?
Answer Choices: (A) 1 ≤ x ≤2 (B) -1 ≥ x ≥ -2 (C) 0 ≤ x ≤ 2 (D) 0 ≥ x ≥ -2 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
On solving x2 - 3x + 2 > 0 , we get ( x - 1 )( x - 2 ) >... | 72,851 |
<|im_start|>user
Does the stream-lined body featured on most fish increase or decrease water resistance?
Answer choice: (A) quickens (B) precipitates (C) increases (D) decrease<|im_end|>
<|im_start|>assistant
<think>
</think>
Fish typically have a stream-lined body. This reduces water resistance.
The answer is D<|end... | 9,749 |
<|im_start|>user
How many triangles can be formed by joining vertices of a hexagon?
Answer Choices: (A) 20 (B) 30 (C) 40 (D) 60 (E) 10<|im_end|>
<|im_start|>assistant
<think>
</think>
One triangle is formed by selecting group of three vertices from 6 vertices of a hexagon.This can be done in 6C3 ways. ie) 6!/3!x3!=20... | 709 |
<|im_start|>user
What is the probability of getting exactly 2 heads in a single throw of five fair coins?
Answer Choices: (A) 1/4 (B) 3/8 (C) 3/16 (D) 5/16 (E) 11/32<|im_end|>
<|im_start|>assistant
<think>
</think>
One possible case is HHTTT.
P(HHTTT) = 1/2*1/2*1/2*1/2*1/2 = 1/32
There are 5C2 = 10 possible cases.
P(... | 36,669 |
<|im_start|>user
For any positive integer n, n>1, thelengthof n is the number of positive primes (not necessary distinct) whose product is n. For ex, the length of 40 is 3, since 50=2x5x5. What is the greatest possible length of a positive integer less than 1000.
Answer Choices: (A) 10 (B) 9 (C) 8 (D) 7 (E) 6<|im_end|>... | 12,905 |
<|im_start|>user
What vessels supply blood to the myocardium and other components of the heart?
Answer choice: (A) specialized arteries (B) coronary arteries (C) rapid arteries (D) surface arteries<|im_end|>
<|im_start|>assistant
<think>
</think>
Coronary Arteries Coronary arteries supply blood to the myocardium and ... | 5,146 |
<|im_start|>user
In a set of three numbers,the difference between the largest and the second largest numbers is added to the smallest number.The average of the largest,second largest and the new number formed exceeds the average of the original three numbers by 5.The largest number exceeds the second largest number by ... | 86,981 |
<|im_start|>user
For what purpose does liver use the excess carbohydrate?
Answer choice: (A) process sugar (B) to synthesize glycogen (C) dilute carbohydrates (D) convert starches<|im_end|>
<|im_start|>assistant
<think>
</think>
Obesity With obesity at high rates in the United States, there is a public health focus o... | 271 |
<|im_start|>user
A shopkeeper sells two articles at Rs.1000 each, making a profit of 20% on the first article and a loss of 20% on the second article. Find the net profit or loss that he makes?
Answer Choices: (A) 8% (B) 2% (C) 3% (D) 4% (E) 6%<|im_end|>
<|im_start|>assistant
<think>
</think>
SP of first article = 10... | 14,080 |
<|im_start|>user
Find the one which does not belong to that group?
Answer Choices: (A) 16 (B) 36 (C) 77 (D) 64 (E) 4<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
16, 36, 64 and 4 are perfect squares but not 77.
The answer is C<|endoftext|> | 46,892 |
<|im_start|>user
If a certain number is divisible by 12 and 10, it is NOT necessarily divisible by which of the following?
Answer Choices: (A) 4 (B) 6 (C) 15 (D) 20 (E) 24<|im_end|>
<|im_start|>assistant
<think>
</think>
If a certain number is divisible by 12 and 10, it is NOT necessarily divisible by which of the fo... | 85,955 |
<|im_start|>user
pqrs is a rectangle having area 50. rx=1/4sr.what is the area of pqxs?
Answer Choices: (A) 41.75 (B) 42.75 (C) 43.75 (D) 44.75 (E) 45.75<|im_end|>
<|im_start|>assistant
<think>
</think>
given pqrs is a rectangle and x located on sr whivh is having length rx=1/4sr.
from this we get right angle traingl... | 36,555 |
<|im_start|>user
Prostaglandins worsen what by increasing nociceptor sensitivity to noxious stimuli?
Answer choice: (A) pain (B) recovery time (C) reaction speed (D) inflammation<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is A<|endoftext|> | 1,127 |
<|im_start|>user
If two positive numbers are in the ratio 1/10 : 1/7, then by what percent is the second number more than the first?
Answer Choices: (A) 67%. (B) 42.8%. (C) 60%. (D) 68%. (E) 80%.<|im_end|>
<|im_start|>assistant
<think>
</think>
Given ratio = 1/10 : 1/7 = 7 : 10
Let first number be 7x and the second n... | 16,064 |
<|im_start|>user
Dave has no fashion sense, and will wear any combination of garments regardless of whether someone thinks they “match.” Every day Dave chooses an outfit consisting of one of each of the following garments: jacket, tie, shirt, pants, boxers, right sock, left sock, right shoe, left shoe. If Dave has more... | 92,341 |
<|im_start|>user
Naomi made a scarf for her brother using the yarn that cost $2.50 per skein. He offered to pay
Naomi for the yarn she used. If she used 1.5 skeins of yarn to make the scarf, what was the total
cost of the yarn?
Answer Choices: (A) $2.25 (B) $3.25 (C) $4.25 (D) $5.25 (E) $6.25<|im_end|>
<|im_start|>assi... | 31,700 |
<|im_start|>user
On average, the boys in the class have 56 pens and the girls have 32 pens. If the overall class average is 41 pens, what is the ratio of boys to girls in the class?
Answer Choices: (A) 1/3 (B) 3/4 (C) 3/2 (D) 2/3 (E) 3/5<|im_end|>
<|im_start|>assistant
<think>
</think>
(32G + 56B) / (G+B) = 41
32G + ... | 23,924 |
<|im_start|>user
Ram professes to sell his goods at the cost price but he made use of 900 grms instead of a kg, what is the gain percent?
Answer Choices: (A) 11 1/8% (B) 11 8/9% (C) 11 1/9% (D) 19 1/9% (E) 11 1/1%<|im_end|>
<|im_start|>assistant
<think>
</think>
900 --- 100
100 --- ? => 11 1/9%
The answer is C<|endof... | 3,954 |
<|im_start|>user
If (1/5)^m * (1/4)^2 = 1/((10)^4), then m =
Answer Choices: (A) 4 (B) 5 (C) 6 (D) 3 (E) 2<|im_end|>
<|im_start|>assistant
<think>
</think>
1/5^m *1/4^2= 1/ 2^4*5^4
2^4*5^4/2^4 =5^m or 5^4 =5^m
therefore m=4
A
The answer is A<|endoftext|> | 12,175 |
<|im_start|>user
For any integer n greater than 1, #n denotes the product of all the integers from 1 to n, inclusive. How many prime numbers V are there between #6 +2 and #6 +6 , inclusive?
Answer Choices: (A) None (B) One (C) Two (D) Three (E) Four<|im_end|>
<|im_start|>assistant
<think>
</think>
None is the answer.... | 63,768 |
<|im_start|>user
A person decided to build a house in 100days. He employed 100men in the beginning and 100 more after 20 days and completed the construction in stipulated time. If he had not employed the additional men , how many days behind schedule would it have been finished?
Answer Choices: (A) 40 (B) 80 (C) 70 (D)... | 32,970 |
<|im_start|>user
The sum of five numbers is 655. The average of the first two numbers is 85 and the third number is 125. Find the average of the two numbers?
Answer Choices: (A) 180 (B) 170 (C) 190 (D) 175 (E) 200<|im_end|>
<|im_start|>assistant
<think>
</think>
P + Q + R + S + T = 655.
(P + Q)/2 = 85 and R = 125
P +... | 57,365 |
<|im_start|>user
In Township K, 1/4 of the housing units are equiped with cable Tv. If 1/10 of the housing units, including 1/3 of those that are equiped with cable tv, are equipped with videocassette recorders, what fraction of the housing units have neither cable tv nor videocassette recorders?
Answer Choices: (A) 23... | 9,223 |
<|im_start|>user
If a(a + 2) = 99 and b(b + 2) = 99, where a ≠ b, then a + b =
Answer Choices: (A) -2 (B) -5 (C) -8 (D) -10 (E) -12<|im_end|>
<|im_start|>assistant
<think>
</think>
i.e. if a = 9 then b = -11
or if a = -11then b = 9
But in each case a+b = -11+9 = -2
The answer is A<|endoftext|> | 39,918 |
<|im_start|>user
What annual payment dischargea debit of Rs.12900, due in 4yrs.At 5% rate?
Answer Choices: (A) 2300 (B) 2400 (C) 3000 (D) 3500 (E) 3600<|im_end|>
<|im_start|>assistant
<think>
</think>
A.P.=(200X12900)/[4(200+5X3)]=3000 Ans
Alternative
100+105+110+115=12900
430=12900
100=12900/(430)X100=3000
C
The ans... | 84,235 |
<|im_start|>user
100 × 10 – 100 + 2000 ÷ 100 = ?
Answer Choices: (A) 29 (B) 780 (C) 920 (D) 979 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution
Given exp. = 100 × 10 - 100 + 20 = 1000 - 100 + 20 = 1020 - 100 = 920.
The answer is C<|endoftext|> | 34,898 |
<|im_start|>user
What least number must be added to the least number of six digits so that the resulting number may be a perfect square.
Answer Choices: (A) 489 (B) 267 (C) 278 (D) 199 (E) 111<|im_end|>
<|im_start|>assistant
<think>
</think>
The least number of six digits = 100000 3 10 00 00 317 9 61 100 61 627 3900 ... | 59,187 |
<|im_start|>user
If 25% of(x-y) = 15% of(x+y), then what percent of x is y?
Answer Choices: (A) 20% (B) 15% (C) 30% (D) 25% (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
Solution: 25% of(x-y) = 15% of(x+y)
25(x-y)/100 = 15(x+y)/100
5(x-y) = 3 (x+y)
x = 4y.
.'. Required percentage = ... | 12,561 |
<|im_start|>user
What method uses a retailer's coding method to catalog biological specimens in museums?
Answer choice: (A) content barcoding (B) structure barcoding (C) metallic barcoding (D) dna barcoding<|im_end|>
<|im_start|>assistant
<think>
</think>
Measuring Biodiversity The technology of molecular genetics an... | 10,798 |
<|im_start|>user
A shopkeeper sold an article at $1170 and gained a 20% profit. What was the cost price?
Answer Choices: (A) $950 (B) $975 (C) $1000 (D) $1025 (E) $1050<|im_end|>
<|im_start|>assistant
<think>
</think>
Let x be the cost price.
1.2x = 1170
x = 1170/1.2 = 975
The answer is B<|endoftext|> | 51,558 |
<|im_start|>user
The length of a rectangle is reduced by 15%. By what % would the width have to be increased to maintain the original area?
Answer Choices: (A) 10% (B) 20% (C) 17.6% (D) 30% (E) 35%<|im_end|>
<|im_start|>assistant
<think>
</think>
Sol. Required change = (15*100)/(100-15)=17.6%
C
The answer is C<|endof... | 22,893 |
<|im_start|>user
If w/x = 5/7 and w/y = 4/7, then (x + y)/y =
Answer Choices: (A) 1/2 (B) 7/3 (C) 6/7 (D) 1/5 (E) 11/13<|im_end|>
<|im_start|>assistant
<think>
</think>
Ratio 1:
7w = 5x
Ratio 2:
7w = 4y
5x = 4y
x= 4y/3
(x+y)/y = ((4y/3)+y)/y = y(4/3 +1)/y = 7/3
The answer is B<|endoftext|> | 23,466 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
There are four kinds of sentences.
A declarative sentence is a statement. It tells about something. A declarative sentence always ends with a period.
I have an older brother and a younger sister.
An interrogative sentence is... | 4,785 |
<|im_start|>user
You and your friend spent a total of $19 for lunch. Your friend spent $3 more than you. How much did your friend spend on their lunch?
Answer Choices: (A) $9 (B) $3 (C) $4 (D) $6 (E) $11<|im_end|>
<|im_start|>assistant
<think>
</think>
My lunch = l, my friends lunch = l+3
(l)+(l+3)=19
l+l+3-3=19-3
2l... | 22,039 |
<|im_start|>user
The area of a square is 4096 sq cm. Find the ratio of the breadth and the length of a rectangle whose length is twice the side of the square and breadth is 24 cm less than the side of the square.
Answer Choices: (A) 18 : 5 (B) 7 : 16 (C) 5 : 14 (D) 5 : 32 (E) None of these<|im_end|>
<|im_start|>assista... | 86,894 |
<|im_start|>user
The Natural Woman, a women's health food store, offers its own blends of trail mix. If the store uses 4 different ingredients, how many bins will it need to hold every possible blend, assuming that each blend must have at least four ingredients? (Also assume that each bin can hold one and only one blen... | 71,834 |
<|im_start|>user
A cycle is bought for Rs.1000 and sold for Rs.2000, find the gain percent?
Answer Choices: (A) 11 (B) 20 (C) 100 (D) 77 (E) 12<|im_end|>
<|im_start|>assistant
<think>
</think>
1000 ---- 1000
100 ---- ? => 100%
The answer is C<|endoftext|> | 6,091 |
<|im_start|>user
The speed of a boat in upstream is 40 kmph and the speed of the boat downstream is 100 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) 30 kmph (D) 17 kmph (E) 29 kmph<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed of the... | 49,299 |
<|im_start|>user
If there are 26 laborers in a crew, and on a certain day, 10 were present. Calculate the percentage that showed up for work? (round to the nearest tenth).
Answer Choices: (A) 39.5% (B) 38.5% (C) 36.5% (D) 37.5% (E) 30.5%<|im_end|>
<|im_start|>assistant
<think>
</think>
10/26*100=38.46
38.5%
The answe... | 71,233 |
<|im_start|>user
The right ventricle pumps what type of blood toward the lungs?
Answer choice: (A) plasma (B) oxygenated (C) oxygen-rich (D) oxygen-poor<|im_end|>
<|im_start|>assistant
<think>
</think>
The right ventricle pumps oxygen-poor blood toward the lungs, where it receives oxygen.
The answer is D<|endoftext|> | 511 |
<|im_start|>user
How much time will it take for an amount of Rs. 1400 to yield Rs. 140 as interest at 5% per annum of simple interest?
Answer Choices: (A) 8 years (B) 4 years (C) 7 years (D) 6 years (E) 2 years<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Time = (100 x 140)/(1400 x 5) years
= 2 years... | 77,070 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
The atmosphere is the layer of air that surrounds Earth. Both weather and climate tell you about the atmosphere.
Weather is what the atmosphere is like at a certain place and time. Weather can change quickly. For example, th... | 6,084 |
<|im_start|>user
One man traveled a distance of 61 km in 9hrs. He traveled partly on footat 4 km/hr and partly on bicycle ta 9 km/hr. The distance traveled on foot is?
Answer Choices: (A) 11 km (B) 13 km (C) 16 km (D) 18 km (E) 19 km<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the distance travelled on foot ... | 97,005 |
<|im_start|>user
A person covered one-fourth of the total distance at 26 kmph and remaining distance at 24 kmph. What is the average speed for the total distance?
Answer Choices: (A) 21 (1/36) kmph (B) 21 (1/3) kmph (C) 21 (8/3) kmph (D) 27 (1/3) kmph (E) 25 (1/3) kmph<|im_end|>
<|im_start|>assistant
<think>
</think>
... | 40,289 |
<|im_start|>user
On Children's Day, sweets were to be equally distributed among 175 children in a school. Actually on the Children's Day, 35 children were absent and therefore each child got 4 sweets extra. Total how many sweets were available for distribution ?
Answer Choices: (A) 2400 (B) 2480 (C) 2680 (D) 2800 (E) 2... | 17,224 |
<|im_start|>user
If a and b are positive integers such that a/b = 0.68, which of the following must be a divisor of a?
Answer Choices: (A) 12 (B) 13 (C) 22 (D) 25 (E) 17<|im_end|>
<|im_start|>assistant
<think>
</think>
1) A and B are positive INTEGERS
2) A/B = 0.68
A = 68
B = 100
68/100 = 0.68
These values are NOT th... | 76,599 |
<|im_start|>user
What will be the output of the following code statements?
Integer a = 15, b = 30, c = 10 print (a × b / c) – c
Answer Choices: (A) 35 (B) 26 (C) 29 (D) 26 (E) 81<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Apply BODMAS rule
15 × 30 = 450/10-10 =45 –10 =35
The answer is A<|endoftext|... | 26,893 |
<|im_start|>user
The ratio of boys to girls in a school is 9 to 11. After 36 more girls join, the ratio becomes 9 to 13. How many boys are there in the school?
Answer Choices: (A) 102 (B) 115 (C) 132 (D) 162 (E) 234<|im_end|>
<|im_start|>assistant
<think>
</think>
Boys : Girls
9 : 11
let the boys be 9x and the girls ... | 44,098 |
<|im_start|>user
What is the process of creating an exact genetic replica of an organism called?
Answer choice: (A) reproducing (B) cloning (C) copying (D) converting<|im_end|>
<|im_start|>assistant
<think>
</think>
Cloning is the process of creating an exact genetic replica of an organism. The clone’s DNA is exactly... | 4,871 |
<|im_start|>user
Find the area of a rhombus one side of which measures 20 cm and one diagonal is 23 cm.
Answer Choices: (A) 100cm2 (B) 150cm2 (C) 300cm2 (D) 368cm2 (E) 400cm2<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation: Let other diagonal = 2x cm.
Since diagonals of a rhombus bisect each other at rig... | 43,799 |
<|im_start|>user
A two-digit number is such that the product of the digits is 8. When 18 is added to the number, then the digits are reversed. The number is:
Answer Choices: (A) 18 (B) 24 (C) 42 (D) 81 (E) 83<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the two digit number is 10x+y
Product of the digits x*y=... | 44,647 |
<|im_start|>user
Q' = 3Q - 3, what is the value of (7')' ?
Answer Choices: (A) 6 (B) 106 (C) 206 (D) 306 (E) 406<|im_end|>
<|im_start|>assistant
<think>
</think>
(7')'=(3*7-3)'=18'=18*18-18=306
The answer is D<|endoftext|> | 61,548 |
<|im_start|>user
The temperature of an object is a measure of what type of energy?
Answer choice: (A) chemical (B) thermal (C) magnetic (D) density<|im_end|>
<|im_start|>assistant
<think>
</think>
Forms of Energy The forms of energy include thermal energy, radiant energy, electrical energy, nuclear energy, and chemic... | 5,848 |
<|im_start|>user
A box contains 12 mangoes out of which 4 are spoilt. If four mangoes are chosen at random, find the probability that Exactly three are not spoiled.
Answer Choices: (A) 116/495 (B) 224/495 (C) 129/495 (D) 187/495 (E) 197/495<|im_end|>
<|im_start|>assistant
<think>
</think>
equired probability = 8C3 . ... | 41,253 |
<|im_start|>user
David purchased a Motor Bike and a mobile phone for Rs. 40000 and Rs. 8000 respectively. He sold the refrigerator at a loss of 10 percent and the mobile phone at a profit of 10 percent. Overall he make a.
Answer Choices: (A) loss of Rs. 200 (B) loss of Rs. 3200 (C) profit of Rs. 100 (D) profit of Rs. 2... | 1,888 |
<|im_start|>user
A restaurant meal cost $30 and there was no tax. If the tip was more than 15 percent but less than 25 percent of the cost of the meal, then the total amount paid must have been between
Answer Choices: (A) $40 and $42 (B) $39 and $41 (C) $38 and $40 (D) $34 and $39 (E) $36 and $37<|im_end|>
<|im_st... | 90,806 |
<|im_start|>user
The unit digit in the product (115 * 297 * 196 * 108) is:
Answer Choices: (A) 2 (B) 7 (C) 6 (D) 0 (E) 8<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Unit digit in the given product = Unit Digit in (5*7*6*8) = 0
The answer is D<|endoftext|> | 89,901 |
<|im_start|>user
Which of the following is closest to (8!-7!)/(8!+7!)?
Answer Choices: (A) 0.01 (B) 0.8 (C) 0.2 (D) 1 (E) 10<|im_end|>
<|im_start|>assistant
<think>
</think>
(8!-7!)/(8!+7!)
7! (8-1)/7! (8+1)
7/9 = 0.8 (approximately)
B is
The answer is B<|endoftext|> | 84,039 |
<|im_start|>user
How many seconds will a 400 metre long train take to cross a man running with a speed of 6 km/hr in the direction of the moving train if the speed of the train is 30 km/hr?
Answer Choices: (A) 25 (B) 30 (C) 45 (D) 64 (E) 60<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
Speed of train... | 37,319 |
<|im_start|>user
If the product of the integers from 1 to n is divisible by 630, what is the least possible value of n?
Answer Choices: (A) 7 (B) 14 (C) 21 (D) 28 (E) 35<|im_end|>
<|im_start|>assistant
<think>
</think>
630 = 2 x 3 x 3 x 5 x 7
N must include at least up to the number 7.
The answer is A<|endoftext|> | 47,030 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Experiments can be designed to answer specific questions. When designing an experiment, you must identify the supplies that are necessary to answer your question. In order to do this, you need to figure out what will be test... | 5,409 |
<|im_start|>user
A is faster than B. A and B each walk 24 km. The sum of their speeds is 7 km/hr and the sum of times taken by them is 14 hours. Then, A's speed is equal to?
Answer Choices: (A) 2 km/hr (B) 3 km/hr (C) 4 km/hr (D) 7 km/hr (E) 8 km/hr<|im_end|>
<|im_start|>assistant
<think>
</think>
B
Let A's speed = x... | 78,021 |
<|im_start|>user
A woodworker normally makes a certain number of parts in 24 days. But he was able to increase his productivity by 5 parts per day, and so he not only finished the job in only 22 days but also he made 80 extra parts. How many parts does the woodworker normally makes per day and how many pieces does he m... | 63,761 |
<|im_start|>user
The radius of a cylinder is 12 m, height 21 m. the lateral surface area of the cylinder is:
Answer Choices: (A) 1584 (B) 1854 (C) 1458 (D) 1485 (E) None of them<|im_end|>
<|im_start|>assistant
<think>
</think>
Lateral surface area = 2πrh
= 2 × 22/7 × 12 × 21
= 44 × 36
= 1584 m(power2)
The answer is A... | 57,438 |
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