text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
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<|im_start|>user
Tomy's age 14 years hence will be thrice his age four years ago. Find Tomy's present age?
Answer Choices: (A) 12 years (B) 13 years (C) 15 years (D) 17 years (E) 18 years<|im_end|>
<|im_start|>assistant
<think>
</think>
Let MTomy's present age be 'x' years.
x+ 14 = 3(x- 4)
=> 2x = 26 => x = 13 years.... | 58,515 |
<|im_start|>user
A person buys an article at Rs.575. At what price should he sell the article so as to make a profit of 15%?
Answer Choices: (A) 600 (B) 277 (C) 269 (D) 661.25 (E) 281<|im_end|>
<|im_start|>assistant
<think>
</think>
Cost price = Rs.575
profit = 15% of 575= Rs.86.25
Selling price = Cost price + Profit... | 82,495 |
<|im_start|>user
What is the value of the following expression?
(1/ (2^2 – 1)) + (1/ (4^2 – 1)) + (1/ (6^2 – 1)) + .... + (1/ (14^2 – 1))
Answer Choices: (A) a. 9/19 (B) b. 10/19 (C) c. 7/30 (D) d. 11/21 (E) e. 11/19<|im_end|>
<|im_start|>assistant
<think>
</think>
it can be written into
1/3+1/15+ 1/35.....1/196
i.e
... | 39,180 |
<|im_start|>user
What part of the body do fish use to absorb oxygen?
Answer choice: (A) gills (B) dorsal fin (C) tail fin (D) under belly<|im_end|>
<|im_start|>assistant
<think>
</think>
In order to absorb oxygen from the water, fish use gills ( Figure below ). Gills take dissolved oxygen from water as the water flow... | 3,022 |
<|im_start|>user
Breaking of weak bonds, which tend to form between positive and negative charges, does not require much what?
Answer choice: (A) catalyzation (B) heat (C) energy (D) time<|im_end|>
<|im_start|>assistant
<think>
</think>
Hydrogen Bonds Ionic and covalent bonds are strong bonds that require considerabl... | 5,640 |
<|im_start|>user
What can be defined simply, as a change in position?
Answer choice: (A) velocity (B) gravity (C) speed (D) motion<|im_end|>
<|im_start|>assistant
<think>
</think>
You can see several examples of people or things in motion in Figure below . You can probably think of many other examples. You know from ... | 3,900 |
<|im_start|>user
A seven-digit combination lock on a safe has zero exactly three times, does not have the digit 1 at all. What is the probability that exactly 3 of its digits are odd?
Answer Choices: (A) 9/16 (B) 1/2 (C) 1/3 (D) 1/4 (E) 1/6<|im_end|>
<|im_start|>assistant
<think>
</think>
Remaining number of digits a... | 1,957 |
<|im_start|>user
Which of the following is true about 0<|x|-x<5?
Answer Choices: (A) -1<x<0 (B) 0<x<1 (C) 1<x<2 (D) 2<x<3 (E) 3<x<4<|im_end|>
<|im_start|>assistant
<think>
</think>
when can be |x|-x be greater than 0..
NEVER when x is positive..
ONLY A is left..
you can also substitute any value within the given rang... | 17,799 |
<|im_start|>user
Present ages of X and Y are in the ratio 4:5 respectively. 6 years hence this ratio will become 5:6 respectively. What is X's present age in years?
Answer Choices: (A) 35 (B) 24 (C) 37 (D) 39 (E) 40<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the present ages of X and Y be 4x and 5x years re... | 19,472 |
<|im_start|>user
Today is Saturday. After 72 days, it will be:
Answer Choices: (A) Sunday (B) Saturday (C) Monday (D) Thursday (E) Wednesday<|im_end|>
<|im_start|>assistant
<think>
</think>
Each day of the week is repeated after 7 days.
So, after 70 days, it will be Saturday.
After 72 days, it will be Monday.
The ans... | 77,670 |
<|im_start|>user
Two trains leaving from two station 50 miles away from each other with costant speed of 60 miles per hour, approaches towards each other on diffrent tracks. if lenght of each train is 1/6 mile. when they meet How much time they need to pass each other totally?
Answer Choices: (A) 1/6 min (B) 1/7 min (C... | 85,316 |
<|im_start|>user
The variation in a sample can be represented by what quantity, which means the total spread of values?
Answer choice: (A) variety (B) range (C) mode (D) median<|im_end|>
<|im_start|>assistant
<think>
</think>
The variation in a sample can be represented by the range, or the total spread of values.
Th... | 8,583 |
<|im_start|>user
A man whose speed is 5.5 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 1.5 kmph, find his average speed for the total journey?
Answer Choices: (A) 3kmph (B) 4kmph (C) 5.1kmph (D) 6kmph (E) 7kmph<|im_end|>
<|im_start|>assistant
<think>
</t... | 23,140 |
<|im_start|>user
Which of the following are roots of an equation (x^-2)-(x^-1)-30=0
Answer Choices: (A) 1/5 and -1/6 (B) -1/5 and 1/6 (C) 1/5 and 1/6 (D) -1/5 and -1/6 (E) -5/2 and -1/6<|im_end|>
<|im_start|>assistant
<think>
</think>
Given: (x^-2) - (x^-1) - 30 = 0
Rewrite as: 1/(x²) - 1/x - 30 = 0
Remove fractions ... | 40,052 |
<|im_start|>user
The average age of 12 men in a group is increased by 2 years when two men whose ages are 20 years and 22 years, are replaced by new members. What is the average age of the new men included?
Answer Choices: (A) 22 (B) 767 (C) 77 (D) 33 (E) 99<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanatio... | 86,167 |
<|im_start|>user
The H.C.F of 1.75, 5.6 and 7 is?
Answer Choices: (A) 0.07 (B) 0.7 (C) 3.5 (D) 0.35 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Given numbers with two decimal place are: 1.75, 5.60 and 7.00. Without decimal places, these numbers are: 175, 560 and 700, whose H.C.F. is 35.
H.C.F. ... | 44,129 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
A clause is a group of words that contains both a subject and a predicate.
An independent clause is a complete thought that can stand alone as a sentence. A dependent clause (or subordinate clause) is not a complete thought ... | 1,759 |
<|im_start|>user
A coin has two sides. One side has the number 1 on it and the other side has the number 2 on it. If the coin is flipped four times what is the probability that the sum of the numbers on the landing side of the coin will be greater than 4?
Answer Choices: (A) 3/16 (B) 15/16 (C) 11/16 (D) 5/8 (E) 3/4<|im... | 65,042 |
<|im_start|>user
A man saves Rs 250 at the end of each year and lends the money at 5% compound interest. How
much will it become at the end of 3 years.
Answer Choices: (A) Rs 662 (B) Rs 862.01 (C) Rs 827.53 (D) Rs 686.53 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
=[250(21/20×21/20... | 23,987 |
<|im_start|>user
It took Malcom 3.5 hours to drive from city A to city B. On his way back to city A, he increased his speed by 20 km per hour and it took him 3 hours.
Find the average speed for the whole journey.
Answer Choices: (A) 134.9 km/hr (B) 129.2 km/hr (C) 119.6 km/hr (D) 140.5 km/hr (E) 155.3 km/hr<|im_end|>
<... | 3,955 |
<|im_start|>user
The area of a triangle will be when a = 1m, b = 2m, c = 5m, a, b, c being lengths of respective sides?
Answer Choices: (A) 3 (B) 6 (C) 4 (D) 9 (E) 1<|im_end|>
<|im_start|>assistant
<think>
</think>
S = (1 + 2 + 5)/2
= 4
The answer is C<|endoftext|> | 69,093 |
<|im_start|>user
Two friends decide to get together; so they start riding bikes towards each other. They plan to meet halfway. Each is riding at 6 MPH. They live 36 miles apart. One of them has a pet carrier pigeon and it starts flying the instant the friends start traveling. The pigeon flies back and forth at 12 MPH b... | 69,892 |
<|im_start|>user
The value of (34.31*0.473*1.567)/(0.0673*23.25*7.57) is close to
Answer Choices: (A) 2 (B) 1.15 (C) 2.05 (D) 2.15 (E) 2.35<|im_end|>
<|im_start|>assistant
<think>
</think>
(34.31*0.473*1.567)/(0.0673*23.25*7.57) = 25.4303/11.845
= 2.15
The answer is D<|endoftext|> | 50,073 |
<|im_start|>user
What amount does Kiran get if he invests Rs.7680 at 8% p.a. compound interest for two years, compounding done annually?
Answer Choices: (A) 8957 (B) 8978 (C) 7890 (D) 3408 (E) 2886<|im_end|>
<|im_start|>assistant
<think>
</think>
A= P{1 + R/100}n
=> 7680{1 + 8/100}2
= Rs.8957
The answer is A<|endofte... | 42,998 |
<|im_start|>user
A number whose fifth part increased by 6 is equal to its fourth part diminished by 6 is ?
Answer Choices: (A) 160 (B) 180 (C) 200 (D) 240 (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Answer
Let the number be N.
Then, (N/5) + 6 = (N/4) - 6
⇒ (N/4) - (N/5) = 12
⇒ (5N - 4N)/20 = 12
∴ ... | 16,325 |
<|im_start|>user
A, B and C can do a work in 90, 30 and 45 days respectively. If they work together, in how many days will they complete the work?
Answer Choices: (A) 15 (B) 66 (C) 77 (D) 88 (E) 11<|im_end|>
<|im_start|>assistant
<think>
</think>
One days's work of A, B and C = 1/90 + 1/30 + 1/45
= (1 + 3 + 2)/90 = 1... | 94,991 |
<|im_start|>user
In a company the manager wants to give some gifts to all of the workers. In each block there are about 200 workers are there. The total amount for giving the gifts for all the workers is $6000. The worth of the gift is 2$. How many blocks are there in the company?
Answer Choices: (A) 10 (B) 12 (C) 18 (... | 7,482 |
<|im_start|>user
A and B starts a business with Rs.8000 each, and after 6 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) 2:3 (C) 3:2 (D) 11:9 (E) 11:10<|im_end|>
<|im_start|>assistant
<think>
</think>
A invests Rs.8000 for 18 mont... | 10,975 |
<|im_start|>user
On a certain plane, 2/5 of the passengers speak Tamil and 3/4 speak Hebrew. If all of the passengers on the plane speak at least one of these languages, what is the smallest number of passengers that could be on the plane?
Answer Choices: (A) 12 (B) 75 (C) 80 (D) 94 (E) 96<|im_end|>
<|im_start|>assista... | 49,507 |
<|im_start|>user
A die is thrown three times. Events X and Y are defined as below:
X : 4 on the third throw
Y : 6 on the first and 5 on the second throw
What is the probability of X given that Y has already occurred.
Answer Choices: (A) 1/6 (B) 1/7 (C) 1/8 (D) 2/7 (E) 2/11<|im_end|>
<|im_start|>assistant
<think>
</thi... | 10,541 |
<|im_start|>user
Marginal cost is the cost of increasing the quantity produced (or purchased) by one unit. If the fixed cost for n products is $10,000 and the marginal cost is $250, and the total cost is $16,000, what is the value of n?
Answer Choices: (A) 10 (B) 24 (C) 60 (D) 70 (E) 85<|im_end|>
<|im_start|>assis... | 28,227 |
<|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... | 3,083 |
<|im_start|>user
The probability of pulling a blue ball out of a glass jar is 1/X. The probability of pulling a blue ball out of a glass jar and breaking the jar is 1/Y. What is the probability of breaking the jar?
Answer Choices: (A) X/Y. (B) 1/(XY) (C) Y/X. (D) 1/(X+Y) . (E) 1/(X-Y) .<|im_end|>
<|im_start|>assistant... | 4,717 |
<|im_start|>user
(10+0.0001)/(0.04+1)
The value of the expression above is closet to which of the following?
Answer Choices: (A) 0.0001 (B) 0.001 (C) 0.1 (D) 1 (E) 10<|im_end|>
<|im_start|>assistant
<think>
</think>
Notice that we need approximate value of the fraction.
Now, the nominator is very close to 10 and the ... | 56,034 |
<|im_start|>user
The sum of the first 30 positive even integers is 930. What is the sum of the first 30 odd integers?
Answer Choices: (A) 930 (B) 900 (C) 960 (D) 975 (E) 980<|im_end|>
<|im_start|>assistant
<think>
</think>
Sum of first n even numbers = n(n+1) =930
Sum of first n odd numbers = n^2 = 30*30 = 900 (here ... | 4,952 |
<|im_start|>user
Louie takes out a three-month loan of $3000. The lender charges him 10% interest per month compounded monthly. The terms of the loan state that Louie must repay the loan in three equal monthly payments. To the nearest dollar, how much does Louie have to pay each month?
Answer Choices: (A) A) 333 (B) B)... | 32,757 |
<|im_start|>user
In what time a sum of money double itself at 6% per annum simple interest?
Answer Choices: (A) 33 1/8% (B) 16 2/3% (C) 33 7/3% (D) 32 1/3% (E) 23 1/3%<|im_end|>
<|im_start|>assistant
<think>
</think>
P = (P*6*R)/100
R = 16 2/3%
The answer is B<|endoftext|> | 13,488 |
<|im_start|>user
Disha drives a car at an average speed of 48 km/h and reach her destination in 6 hours. Himanshu covers that distance in 4 hours. If Disha increases her average speed by 8 km/h and Himanshu increases his average speed by 4 km/h, then what will be the difference in time taken by them to reach their dest... | 59,644 |
<|im_start|>user
The primary role of leaves is to collect what?
Answer choice: (A) pollen (B) insects (C) sunlight (D) precipitation<|im_end|>
<|im_start|>assistant
<think>
</think>
Plants have specialized organs that help them survive and reproduce in a great diversity of habitats. Major organs of most plants includ... | 2,475 |
<|im_start|>user
Which is the dominant stage of the lifecycle of a fern?
Answer choice: (A) gametophyte (B) larvae (C) zygote (D) sporophyte<|im_end|>
<|im_start|>assistant
<think>
</think>
The dominant stage of the lifecycle of a fern is the sporophyte, which consists of large compound leaves called fronds. Fronds f... | 2,075 |
<|im_start|>user
The first three terms of a proportion are 3, 9 and 12. The fourth term is?
Answer Choices: (A) 26 (B) 87 (C) 86 (D) 36 (E) 73<|im_end|>
<|im_start|>assistant
<think>
</think>
(9*12)/3
= 36
The answer is D<|endoftext|> | 28,492 |
<|im_start|>user
A multiple choice question has 5 options. Choosing the correct option earns the student 1 marks. However choosing the wrong option incurs negative marks so that if a student chooses an option randomly, his expected score is 0. Suppose a student has successfully eliminated 2 incorrect options. His expec... | 77,414 |
<|im_start|>user
A bag contains 12 white and 18 black balls. 2balls are drawn in succession. What is the probability that first is white and second is black?
Answer Choices: (A) 35/145 (B) 36/145 (C) 36/140 (D) 36/141 (E) 31/142<|im_end|>
<|im_start|>assistant
<think>
</think>
The probability that first ball is white... | 90,219 |
<|im_start|>user
A fence consists of m lengths of fence that are each n feet long. A fence post separates each length of fence by its width of x feet. What is the total length Q of the fence including the fence posts on each end?
Answer Choices: (A) mn (B) m(n + x) (C) Q=m(n + x) + x (D) m(n + x) + 2x (E) 2mn<|im_en... | 52,668 |
<|im_start|>user
Running at the same constant rate, 6 identical machines can produce a total of 270 bottles per minute. At this rate, how many bottles could 20 such machines produce in 4 minutes?
Answer Choices: (A) 648 (B) 1,800 (C) 2,700 (D) 3,600 (E) 64,800<|im_end|>
<|im_start|>assistant
<think>
</think>
6 m... | 2,709 |
<|im_start|>user
Walking at 3/4 of his usual place, a man reaches his office 20 minute late. Find his usual time?
Answer Choices: (A) 2 hr (B) 1 hr (C) 3 hr (D) 1.5 hr (E) 2.5 hr<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the original speed be S and time be T
If new speed=S×3/4, then new time would be T×4... | 24,061 |
<|im_start|>user
A goat is tied to one corner of a square plot of side 12m by a rope 7m long. Find the area it can graze?
Answer Choices: (A) 32 (B) 36.5 (C) 38.5 (D) 39 (E) 39.5<|im_end|>
<|im_start|>assistant
<think>
</think>
Area covered by goat = Pi*r^2/4 ( here we divide by 4 because rope is tied at the corner o... | 69,488 |
<|im_start|>user
A number consists of 3 digit whose sum is 10. The middle digit is equal to the sum of the other two and the number will be increased by 99 if its digits are reversed. The number is:
Answer Choices: (A) 145 (B) 253 (C) 370 (D) 352 (E) 452<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the middle... | 24,325 |
<|im_start|>user
If (2a + 3b)/(5a - 3b) = 23/5 , then the value of b : a is ?
Answer Choices: (A) 4 : 1 (B) 1 : 4 (C) 4 : 5 (D) 5 : 4 (E) 1 : 2<|im_end|>
<|im_start|>assistant
<think>
</think>
(2a + 3b)/(5a - 3b) = 23/5
=> 10a + 15b = 115a - 69b
=> 105a = 84b => 5a = 4b
a/b = 4/5
The answer is D<|endoftext|> | 92,758 |
<|im_start|>user
By investing Rs. 1620 in 8% stock,Michael earns Rs. 135.The stock is then quoted at :
Answer Choices: (A) Rs. 80 (B) Rs. 96 (C) Rs. 106 (D) Rs. 108 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution
To earn Rs. 135, investment = Rs. 1620.
To earn Rs. 8, investment = Rs. (1620... | 50,956 |
<|im_start|>user
Sakshi can do a piece of work in 20 days.Tanya is 25% more efficient than Sakshi. The number of days taken by Tanya to do the same piece of work :
Answer Choices: (A) 15 (B) 16 (C) 18 (D) 25 (E) 29<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution
Ratio of times taken by Sakshi and Tanya = 12... | 27,265 |
<|im_start|>user
A straight line in the xy- plane has y-intercept of 10 . On this line the x-coordinate of the point is 100 and y-coordinate is 1000 then what is the slope of the line?
Answer Choices: (A) 2 (B) 5.5 (C) 6.5 (D) 3.2 (E) 9.9<|im_end|>
<|im_start|>assistant
<think>
</think>
Eq of line = Y = MX +C
C= 10
X... | 39,030 |
<|im_start|>user
A garrison of 1850 men has provisions for 28 days. At the end of 12 days, a reinforcement arrives, and it is now found that the provisions will last only for 10 days more. What is the reinforcement?
Answer Choices: (A) 1850 (B) 2960 (C) 3000 (D) 1110 (E) 1712<|im_end|>
<|im_start|>assistant
<think>
</... | 91,013 |
<|im_start|>user
A salesperson received a commission of 3 percent of the sale price for each of the first 100 machines that she sold and 4 percent of the sale price for each machine that she sold after the first 100. If the sale price of each machine was $10,000 and the salesperson received a $38,000 commission, how ma... | 37,851 |
<|im_start|>user
The difference between simple interest and compound interest on Rs. 1200 for one year at 10% per annum reckoned half yearly is
Answer Choices: (A) 2 (B) 7 (C) 3 (D) 0 (E) 8<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
S.I
= Rs.(1200x10x1/100)
= Rs.120.
C.I
= Rs[(1200x1+5/100)² -1200]... | 93,976 |
<|im_start|>user
workers decided to raise Rs.3 lacs by equal contribution from each. Had they contributed Rs.50 eachextra, the contribution would have been Rs.3.25 lacs . How many workers were they?
Answer Choices: (A) 200 (B) 250 (C) 500 (D) 550 (E) 600<|im_end|>
<|im_start|>assistant
<think>
</think>
N * 50 = (3250... | 27,770 |
<|im_start|>user
There are some pigeons and hares in a zoo. If heads are counted, there are 130. If legs are counted, there are 580. The number of hares in the zoo is?
Answer Choices: (A) 120 (B) 182 (C) 190 (D) 137 (E) 160<|im_end|>
<|im_start|>assistant
<think>
</think>
130*2 = 260
580
-----
320
1----2
?----320 = 1... | 68,488 |
<|im_start|>user
Of the 50 electronics components that a factory must
manufacture, 70 percent would be most e¢ ciently manufactured
by Machine A and the remaining 30 percent would be most
e¢ ciently manufactured by Machine B, though either machine
could manufacture any of the 50 components. If 36 percent of
the compone... | 44,600 |
<|im_start|>user
A man is 16 years older than his son. In two years, his age will be twice the age of his son. The present age of this son is
Answer Choices: (A) 21 years (B) 14 years (C) 16 years (D) 18 years (E) 26 years<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Let's Son age is x, then Father a... | 73,557 |
<|im_start|>user
If there are 210 workers in a factory, and on a certain day, 198 were present. Calculate the percentage that showed up for work? (round to the nearest tenth).
Answer Choices: (A) 94.3% (B) 95.3% (C) 93.3% (D) 92.3% (E) 91.3%<|im_end|>
<|im_start|>assistant
<think>
</think>
198/210*100=94.28
94.3%
The... | 19,314 |
<|im_start|>user
A man recites the alphabet N times. What is the equation for the amount of every odd letter he said?
Answer Choices: (A) 25/2*N (B) 13N (C) 27/2*N (D) 26N (E) 11N<|im_end|>
<|im_start|>assistant
<think>
</think>
13N is th
The answer is A<|endoftext|> | 89,960 |
<|im_start|>user
A manufacturer undertakes to supply 2000 pieces of a particular component at Rs.25 per piece. According to his estimates, even if 5% fail to pass the quality tests, then he will make a profit of 25%. However, as it turned out, 50% of the components were rejected. What is the loss to the manufacturer?
A... | 9,084 |
<|im_start|>user
In a game of 80 points; A can give B 5 points and C 15 points. Then how many points B
can give C in a game of 60 ?
Answer Choices: (A) 7 (B) 8 (C) 9 (D) 10 (E) 11<|im_end|>
<|im_start|>assistant
<think>
</think>
From the above information, A:B= 80:75 and A:C= 80:65
Now
B/C= (B/A)*(A/C)= (75/80)*(80/6... | 21,838 |
<|im_start|>user
If 144/0.144 = 14.4/x, then the value of x is:
Answer Choices: (A) 2. (B) 1. (C) -1. (D) -2. (E) 0<|im_end|>
<|im_start|>assistant
<think>
</think>
Given Expression
=[a(Power2) - b(Power 2)]/(a + b)(a - b)
=[a(Power 2 - b(Power 2)]/[a(Power 2) - b(Power 2)]
= 1.
The answer is B<|endoftext|> | 7,845 |
<|im_start|>user
George and Mark can paint 720 boxes in 20 days. Mark and Harry in 24 days and Harry and George in 15 days. George works for 4 days, Mark for 8 days and Harry for 8 days. The total number of boxes painted by them is
Answer Choices: (A) 28 (B) H (C) 27 (D) 29 (E) 271<|im_end|>
<|im_start|>assistant
<thin... | 55,805 |
<|im_start|>user
{-10, -6, -5, -4, -2.5, -1, 0, 2.5, 4, 6, 7, 10}
A number is to be selected at random from the set above. What is the probability that the number selected will be a solution of the equation (x+5)(x+10)(2x-5) = 0?
Answer Choices: (A) 1/12 (B) 1/6 (C) 1/4 (D) 1/3 (E) 1/2<|im_end|>
<|im_start|>assistant
<... | 24,284 |
<|im_start|>user
The ambrosia beetle bores holes in?
Answer choice: (A) flowers (B) dirt (C) tree bark (D) leaves<|im_end|>
<|im_start|>assistant
<think>
</think>
Ambrosia beetles bore holes in tree bark and “plant” fungal spores in the holes. The holes in the bark give the fungi an ideal place to grow. The beetles h... | 11,312 |
<|im_start|>user
How many 3-letter words with or without meaning, can be formed out of the letters of the word, 'LOGARITH', if repetition of letters is not allowed?
Answer Choices: (A) 690 (B) 336 (C) 740 (D) 760 (E) 780<|im_end|>
<|im_start|>assistant
<think>
</think>
The word 'LOGARITH' has 8 different letters.
Hen... | 80,687 |
<|im_start|>user
In a group of ducks and cows, the total number of legs are 20 more than twice the no. of heads. Find the total no.of buffaloes.
Answer Choices: (A) 10 (B) 12 (C) 13 (D) 15 (E) 16<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the number of buffaloes be x and the number of ducks be y
=> 4x + 2y ... | 94,502 |
<|im_start|>user
Normal blood is comprised of nearly half erythrocytes, which is another word for what cells?
Answer choice: (A) monocytes (B) white blood cells (C) plateletes (D) red blood cells<|im_end|>
<|im_start|>assistant
<think>
</think>
Composition of Blood You have probably had blood drawn from a superficial... | 10,090 |
<|im_start|>user
Mitochondria are thought to have evolved from what kind of cells?
Answer choice: (A) ancient ribosome (B) ancient prokaryotic (C) ancient phosphorylation (D) ancient matrix<|im_end|>
<|im_start|>assistant
<think>
</think>
Mitochondria are thought to have evolved from ancient prokaryotic cells.
The a... | 4,354 |
<|im_start|>user
The sum of three consecutive even numbers is 42. Find the middle number of the three?
Answer Choices: (A) 5 (B) 8 (C) 96 (D) 32 (E) 14<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Three consecutive even numbers (2P - 2), 2P, (2P + 2).
(2P - 2) + 2P + (2P + 2) = 42
6P = 42 => P = 7.
T... | 13,370 |
<|im_start|>user
What is the sum of all remainders obtained when the first 130 natural numbers are divided by 9?
Answer Choices: (A) 397 (B) 401 (C) 403 (D) 412 (E) 399<|im_end|>
<|im_start|>assistant
<think>
</think>
A positive integer can give only the following 9 remainders when divided by 9: 1, 2, 3, 4, 5, 6, 7, ... | 618 |
<|im_start|>user
A set consist of 2l-1 element. What is the number of subsets of this set which contain at most l-1 elements?
Answer Choices: (A) 2^(2l-2) (B) 2^(2l) - 2 (C) 2^(2l) -1 (D) 2^(2l) (E) 2^(2l-1) <|im_end|>
<|im_start|>assistant
<think>
</think>
I used l=3, so then we have
5!/2!3! + 5!/4!1! + 5!/0!5!
... | 1,575 |
<|im_start|>user
How long will a boy take to run round a square field of side 60 meters, if he runs at the rate of 12km/hr?
Answer Choices: (A) 52sec (B) 45sec (C) 72sec (D) 25sec (E) 39sec<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = 12 km/hr = 12*5/18 = 10/3 m/sec
Distance = 60*4 = 240m
Time taken = 240... | 70,706 |
<|im_start|>user
If a and b are positive integers such that a/b = 3.98, which of the following must be a divisor of a?
Answer Choices: (A) 67 (B) 197 (C) 91 (D) 199 (E) 42<|im_end|>
<|im_start|>assistant
<think>
</think>
1) A and B are positive INTEGERS
2) A/B = 3.98
A = 398
B = 100
398/100 = 3.98
These values are NO... | 20,358 |
<|im_start|>user
There are 35 students in a hostel. If the no. of students increases by 7, the expenses of the mess increase by Rs.42/day while the average expenditure per head diminishes by Rs1. Find the original expenditure of the mess?
Answer Choices: (A) Rs. 30 (B) Rs. 35 (C) Rs. 42 (D) Rs. 48 (E) Rs. 52<|im_end|>
... | 70,815 |
<|im_start|>user
Pipe A can fill a tank in 16 minutes and pipe B cam empty it in 24 minutes. If both the pipes are opened together after how many minutes should pipe B be closed, so that the tank is filled in 30 minutes?
Answer Choices: (A) 11 (B) 21 (C) 33 (D) 51 (E) 61<|im_end|>
<|im_start|>assistant
<think>
</think... | 36,252 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
All solids, liquids, and gases are made of matter. Matter is made up of tiny particles that are always moving. The energy from the motion of these particles is called thermal energy.
Temperature measures how hot or cold matt... | 2,499 |
<|im_start|>user
A started a business with an investment of Rs. 70000 and after 6 months B joined him investing Rs. 120000. If the profit at the end of a year is Rs. 52000, then the share of B is?
Answer Choices: (A) 22772 (B) 24000 (C) 23877 (D) 23789 (E) 28222<|im_end|>
<|im_start|>assistant
<think>
</think>
Explan... | 49,193 |
<|im_start|>user
If x and y are numbers such that (x+4)(y-4)=0, what is the smallest possible value of x^2 + y^2
Answer Choices: (A) 0 (B) 9 (C) 12 (D) 16 (E) 18<|im_end|>
<|im_start|>assistant
<think>
</think>
From (x+4)(y-4)=0 it follows that either x=-4 or y=4. Thus either x^2=16 or y^2=16.
Now, if x^2=16, then th... | 49,927 |
<|im_start|>user
The time taken by a man to row his boat upstream is twice the time taken by him to row the same distance downstream. If the speed of the boat in still water is 42 kmph, find the speed of the stream?
Answer Choices: (A) 87 kmph (B) 68 kmph (C) 14 kmph (D) 76 kmph (E) 57 kmph<|im_end|>
<|im_start|>assist... | 58,357 |
<|im_start|>user
Atoms are composed of negatively charged electrons and a positively charged what?
Answer choice: (A) DNA segment (B) neutron (C) bond (D) nucleus<|im_end|>
<|im_start|>assistant
<think>
</think>
30.2 Discovery of the Parts of the Atom: Electrons and Nuclei • Atoms are composed of negatively charged e... | 1,951 |
<|im_start|>user
A man has some hens and cows. If the number of heads be 48 and the number of feet equals 144, then the number of hens will be:
Answer Choices: (A) 22 (B) 23 (C) 24 (D) 26 (E) 28<|im_end|>
<|im_start|>assistant
<think>
</think>
let hens be x and cows be y
now,
feet: x*2+y*4=144
heads: x*1+y*1=48
impli... | 43,653 |
<|im_start|>user
An automotive test consisted of driving a car the same distance three separate times, first at an average rate of 40 miles per hour, then 50 miles per hour, then 60 miles per hour. If the test took 74 hours to complete, how many miles was the car driven during the entire test?
Answer Choices: (A) 3600 ... | 72,624 |
<|im_start|>user
The average age of a committee of 8 members is 42 years. A member aged 55 years
retired and his place was taken by another member aged 39 years . The average age of
present committee is;
Answer Choices: (A) 39 years (B) 38 years (C) 36 years (D) 35 years (E) 40 years<|im_end|>
<|im_start|>assistant
<th... | 35,435 |
<|im_start|>user
The contents of a certain box consist of 80 apples and 30 oranges. How many oranges must be added to the box so that exactly 50% of the pieces of fruit in the box will be apples?
Answer Choices: (A) 45 (B) 50 (C) 55 (D) 60 (E) 65<|im_end|>
<|im_start|>assistant
<think>
</think>
apple = (apple + orang... | 58,733 |
<|im_start|>user
Chandigarh express of 100 m runs at a speed of 60 km/hr. What will be the time taken to cross a platform of 150 meters long?
Answer Choices: (A) 11.00 sec (B) 12.50 sec (C) 15.00 sec (D) 15.23 sec (E) 5.23 sec<|im_end|>
<|im_start|>assistant
<think>
</think>
EXPLANATION:
Given: Length of train = 100 ... | 28,180 |
<|im_start|>user
What is the least number which should be added to 2782 so that the sum is exactly divisible by 5, 6, 4, and 3?
Answer Choices: (A) 26 (B) 32 (C) 38 (D) 46 (E) 52<|im_end|>
<|im_start|>assistant
<think>
</think>
L.C.M. of 5, 6, 4 and 3 = 60.
When dividing 2782 by 60, the remainder is 22.
The number to... | 78,941 |
<|im_start|>user
In a certain company, the ratio of male to female employees is 7:8. If 3 more men were hired, this ratio would increase to 8:9. How many male employees are there in the company?
Answer Choices: (A) 6 (B) 21 (C) 27 (D) 189 (E) 192<|im_end|>
<|im_start|>assistant
<think>
</think>
Another approach is to... | 1,407 |
<|im_start|>user
(0.12)(power 3) - (0.1)(power 3)/ (0.12)(power 2) + 0.012 + (0.1)(power 2) is:
Answer Choices: (A) 0.68 (B) 0.086 (C) 0.86 (D) 0.068 (E) None of them<|im_end|>
<|im_start|>assistant
<think>
</think>
Given expression
= (0.12) (power 3) - (0.1)(power 3) / (0.12)(power 2) + (0.12 x 0.1) + (0.1)(power 2)... | 14,636 |
<|im_start|>user
A dishonest fruit seller professes to sell his goods at the cost price but weighs 800 grams for a kg weight. Find his gain percent.
Answer Choices: (A) 100% (B) 150% (C) 50% (D) 200% (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
He gives 800 grams but charges the price of 1000 gr... | 8,372 |
<|im_start|>user
Triangle A’s base is 10% greater than the base of triangle B, and A’s height is 10% less than the height of triangle B. The area of triangle A is what percent less or more than the area of triangle B?
Answer Choices: (A) 9 % less (B) 1 % less (C) Equal to each other (D) 1 % more (E) 9 % more<|im_end|>
... | 58,098 |
<|im_start|>user
A bicyclist travels uphill from town A to town B for 2 hours at an average speed of 5 miles per hour and returns along the same road at an average speed of 6 miles per hour. What is the bicyclist’s average speed for the round trip, in miles per hour?
Answer Choices: (A) (a) 60/11 (B) (b) 5 (C) (c) 2... | 41,431 |
<|im_start|>user
There are A girls in a class, and their average height is M inches. In the same class, there are Y boys with an average height of N inches. What is the average height of all the students in the class?
Answer Choices: (A) (X + Y) /(M + N) (B) (M + N) /(X + Y) (C) (XM + YN) /(M + N) (D) (AM + YN) /(A ... | 31,602 |
<|im_start|>user
There are 11engineers and 7 civil engineers in a company. Theyare selecting member for row. In how many ways can they be seated in a row so that no two of the civil engineers will sit together?
Answer Choices: (A) 9!×11!/5! (B) 11!×12! (C) 11!×12!/5! (D) 12!/5! (E) 10!×12!/5!<|im_end|>
<|im_start|>assi... | 12,575 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
An allusion is a brief mention of something or someone well known, often from mythology, history, or literature. An allusion lets you reference ideas from an entire story in just a few words.
"I'd better get home before I tu... | 2,474 |
<|im_start|>user
A fruit seller had some apples. He sells 60% apples and still has 300 apples. Originally, he had:
Answer Choices: (A) 656 apples (B) 700 apples (C) 750 apples (D) 780 apples (E) 800 apples<|im_end|>
<|im_start|>assistant
<think>
</think>
A fruit seller had some apples. He sells 60% apples and still h... | 81,532 |
<|im_start|>user
Humans have an estimated 20,000 to 22,000 of what units of heredity?
Answer choice: (A) genes (B) eggs (C) cells (D) chromosomes<|im_end|>
<|im_start|>assistant
<think>
</think>
Humans have an estimated 20,000 to 22,000 genes. This may sound like a lot, but it really isn’t. Far simpler species have a... | 9,908 |
<|im_start|>user
In how many different number of ways 4 boys and 3 girls can sit on a bench such that girls always sit together?
Answer Choices: (A) 720 (B) 730 (C) 750 (D) 800 (E) 900<|im_end|>
<|im_start|>assistant
<think>
</think>
Option 'A'
The answer is A<|endoftext|> | 94,109 |
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