text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
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<|im_start|>user
How many 1/8's are there in 371/2 ?
Answer Choices: (A) 1384 (B) 1484 (C) 1584 (D) 1684 (E) 1784<|im_end|>
<|im_start|>assistant
<think>
</think>
no of 1/8 's in 371/2 = (371/2)/(1/8)= 8*371/2= 371*4= 1484
The answer is B<|endoftext|> | 20,595 |
<|im_start|>user
The volume of a cube is 729 cc. Find its surface.
Answer Choices: (A) 486 (B) 556 (C) 255 (D) 287 (E) 267<|im_end|>
<|im_start|>assistant
<think>
</think>
a3 = 729 => a = 9
6a2 = 6 * 9 * 9 = 486
The answer is A<|endoftext|> | 61,334 |
<|im_start|>user
The age of teacher is the same as the digit in the student's age, but in reverse order. In five years teacher will be twice as old as student will be then. what is the difference in their current age ?
Answer Choices: (A) 18 (B) 12 (C) 25 (D) 13 (E) 7<|im_end|>
<|im_start|>assistant
<think>
</think>
... | 37,862 |
<|im_start|>user
The average runs scored by a batsman in 20 matches is 30. In the next 10 matches the batsman scored an average of 15 runs. Find his average in all the 30 matches?
Answer Choices: (A) 25 (B) 46 (C) 88 (D) 13 (E) 12<|im_end|>
<|im_start|>assistant
<think>
</think>
Total score of the batsman in 20 match... | 65,873 |
<|im_start|>user
A team of eight entered for a shooting competition. The best marks man scored 82 points. If he had scored 92 points, the average scores for. The team would have been 84. How many points altogether did the team score?
Answer Choices: (A) 662 (B) 672 (C) 652 (D) 642 (E) 721<|im_end|>
<|im_start|>assistan... | 84,104 |
<|im_start|>user
Which of the following has most number of divisors?
Answer Choices: (A) 99 (B) 101 (C) 176 (D) 182 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
99=1*3*3*11; 101=1*101
176=1*2*2*2*2*11; 182=1*2*7*13;
So, divisors of 99 are 1,3,9,11,33 and 99;
divisors of 101 are 1 and 101;
diviso... | 36,007 |
<|im_start|>user
Calculate the area of a triangle, if the sides of are 65 cm, 60 cm and 25 cm, what is its area?
Answer Choices: (A) 850 cm2 (B) 750 cm2 (C) 450 cm2 (D) 550 cm2 (E) 650 cm2<|im_end|>
<|im_start|>assistant
<think>
</think>
The triangle with sides 65 cm, 60 cm and 25 cm is right angled, where the hypote... | 89,738 |
<|im_start|>user
An error 2% in excess ismade while measuring the side ofa square. The % of error in the calculated area of the square is?
Answer Choices: (A) 4.00% (B) 4.04% (C) 4.16% (D) 4.30% (E) 5%<|im_end|>
<|im_start|>assistant
<think>
</think>
100 cm is read as 102 cm.
A1 = (100 x 100) cm2 and A2 (102 x 102) c... | 93,248 |
<|im_start|>user
Bob had x number of sweets and wanted to share it with his 6 friends. However, he could not divide x into 7 parts equally. He also found that he could not divide x equally into 6,5,4,3 or 2 parts either. He decided to throw one sweet away and found that he had enough sweets to divide into 7,6,5,4,3 or ... | 57,185 |
<|im_start|>user
If a man's rate with the current is 15 km/hr and the rate of the current is 11⁄2 km/hr, then his rate against the current is
Answer Choices: (A) 12 km/hr (B) 22 km/hr (C) 23 km/hr (D) 28 km/hr (E) 13 km/hr<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed downstream = 15 km/hr
Rate of the curren... | 11,001 |
<|im_start|>user
If the radius of a circle is decreased by 50%, find the percentage decrease
Answer Choices: (A) 22 (B) 099 (C) 75 (D) 26 (E) 18<|im_end|>
<|im_start|>assistant
<think>
</think>
Let original radius = R.
New radius = =
Original area = and new area =
Decrease in area = = 75%
The answer is C<|endoftext|> | 62,673 |
<|im_start|>user
Crazy Eddie has a key chain factory. Eddie managed to decrease the cost of manufacturing his key chains while keeping the same selling price, and thus increased the profit from the sale of each key chain from 35% of the selling price to 50% of the selling price. If the manufacturing cost is now $50, wh... | 48,744 |
<|im_start|>user
The Racing magic takes 90 seconds to circle the racing track once. The Charging bull makes 40 rounds of the track in an hour. If they left the starting point together, how many minutes will it take for them to meet at the starting point for the second time?
Answer Choices: (A) 3 (B) 6 (C) 9 (D) 12 (E) ... | 34,113 |
<|im_start|>user
With the wind, an airplane travels 1120 miles in seven hours. Against the wind, it takes eight hours. Find the rate of the plane in still air and the velocity of the wind.
Answer Choices: (A) 10 kmph (B) 11 kmph (C) 12 kmph (D) 13 kmph (E) 14 kmph<|im_end|>
<|im_start|>assistant
<think>
</think>
1120... | 97,171 |
<|im_start|>user
Rectangle A has sides a and b, and rectangle B has sides c and d. If a/c=b/d=2/3, what is the ratio of rectangle A’s area to rectangle B’s area?
Answer Choices: (A) 4/9 (B) 2/3 (C) 3/2 (D) 9/2 (E) 9/4<|im_end|>
<|im_start|>assistant
<think>
</think>
The area of rectangle A is ab.
c=3a/2 and d=3b/2.
T... | 34,739 |
<|im_start|>user
There are 4 physics books and 1 chemistry book on shelf P and 3 physics books on shelf Q. One book is moved from shelf P to shelf Q. A student picks up a book from shelf Q. What is the probability that the chemistry book is taken by the student?
Answer Choices: (A) 1/9 (B) 1/10 (C) 1/12 (D) 1/15 (E) 1/... | 66,664 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Measurements are written with both a number and a unit. The unit comes after the number. The unit shows what the number means.
Mass is a measurement of how much matter something contains.
There are many different units of ma... | 1,153 |
<|im_start|>user
A team of 6 cooks is chosen from 8 men and 5 women. The team must have at least 2 men and at least 3 women. How many ways can this team be created?
Answer Choices: (A) 140 (B) 320 (C) 560 (D) 700 (E) 840<|im_end|>
<|im_start|>assistant
<think>
</think>
Only possible combinations are a team of 2M, 4 W... | 32,140 |
<|im_start|>user
If a - b = 3 and a(power 2) + b(power 2) = 25, find the value of ab.
Answer Choices: (A) 5 (B) 8 (C) 4 (D) 10 (E) 3<|im_end|>
<|im_start|>assistant
<think>
</think>
2ab = (a(power 2) + b(power 2) - (a - b)(power 2)
= 25 - 9 = 16
ab = 8.
The answer is B<|endoftext|> | 32,544 |
<|im_start|>user
In measuring the sides of a rectangle, one side is taken 5% in excess and the other 4% in deficit. Find the error percent in the area, calculate from the those measurements.
Answer Choices: (A) 0.9% (B) 0.8% (C) 0.3% (D) 0.2% (E) 0.5%<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
let ... | 24,210 |
<|im_start|>user
By travelling at 50 kmph, a person reaches his destination on time. He covered two-third the total distance in one-third of the total time. What speed should he maintain for the remaining distance to reach his destination on time?
Answer Choices: (A) 23 kmph (B) 24 kmph (C) 25 kmph (D) 26 kmph (E) 27 k... | 2,470 |
<|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 ... | 713 |
<|im_start|>user
A train passes a station platform in 36 sec and a man standing on the platform in 20 sec. If the speed of the train is 54 km/hr. What is the length of the platform?
Answer Choices: (A) 299 (B) 240 (C) 277 (D) 255 (E) 143<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = 54 * 5/18 = 15 m/sec.
L... | 71,923 |
<|im_start|>user
Convert 0.34 in to a vulgar fraction ?
Answer Choices: (A) 18/50 (B) 16/50 (C) 17/50 (D) 19/50 (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Answer
0.34 = 34/100 = 17/50
Correct Option: C
The answer is C<|endoftext|> | 8,178 |
<|im_start|>user
If the sum of n terms of two series in A.P. are in the ratio (5n + 4) : (9n + 6) then find the ratio of their 13th terms.
Answer Choices: (A) 129/139 (B) 129/1378 (C) 129/136 (D) 129/134 (E) 129/131<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Formula for sum of n terms in AP = SnSn ... | 40,678 |
<|im_start|>user
A 9% stock yields 8%.The market value of the stock is :
Answer Choices: (A) Rs. 72 (B) Rs. 92 (C) Rs. 112.50 (D) Rs. 116.50 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
solution
To obtain Rs. 8, investment = Rs. 100.
To obtain Rs. 9, investment = Rs.(100/8X9)= Rs. 112.50
∴ Marke... | 25,013 |
<|im_start|>user
Krishan and Nandan jointly started a business. Krishan invested three times as Nandan did and invested his money for double time as compared to Nandan. Nandan earned Rs. 4000. If the gain is proportional to the money invested and the time for which the money is invested then the total gain was?
Answer ... | 24,817 |
<|im_start|>user
3,8,24,48,120,?
Answer Choices: (A) 166 (B) 167 (C) 168 (D) 198 (E) 178<|im_end|>
<|im_start|>assistant
<think>
</think>
2^2 =(4) -1 =3
3^2=(9) -1 =8
5^2 =(25) -1 =24
7^2 =(49) -1 =48
11^2 =(121) -1 =120
So, next
13^2 =(169) -1=168
The answer is C<|endoftext|> | 72,941 |
<|im_start|>user
During what type of reproduction do two haploid gametes join in the process of fertilization to produce a diploid zygote?
Answer choice: (A) asexual reproduction (B) essential reproduction (C) internal reproduction (D) sexual reproduction<|im_end|>
<|im_start|>assistant
<think>
</think>
During sexual... | 1,338 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Personification is giving human characteristics to nonhuman things. It is a figure of speech that can be used to make writing more interesting or to emphasize a point.
The trees danced in the wind.
The word danced describes ... | 55 |
<|im_start|>user
The sum of three consecutive even numbers is 36. Find the middle number of the three?
Answer Choices: (A) 14 (B) 16 (C) 18 (D) 24 (E) 36<|im_end|>
<|im_start|>assistant
<think>
</think>
Three consecutive even numbers (2P - 2), 2P, (2P + 2).
(2P - 2) + 2P + (2P + 2) = 36
6P = 36 => P = 6.
The middle n... | 88,434 |
<|im_start|>user
Express 5 mps in kmph?
Answer Choices: (A) 22 (B) 88 (C) 90 (D) 18 (E) 24<|im_end|>
<|im_start|>assistant
<think>
</think>
5 * 18/5 = 18 kmph
The answer is D<|endoftext|> | 77,930 |
<|im_start|>user
Find the sum of first 80 odd numbers
Answer Choices: (A) 6400 (B) 8000 (C) 5000 (D) 4980 (E) 4960<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
n2 = 802 = 6400
The answer is A<|endoftext|> | 4,079 |
<|im_start|>user
A cab driver 5 days income was $200, $150, $750, $400 , $500. Then his average income is?
Answer Choices: (A) $420 (B) $410 (C) $400 (D) $390 (E) $380<|im_end|>
<|im_start|>assistant
<think>
</think>
avg = sum of observations/number of observations
avg income=(200+150+750+400+500)/5 = 400
The answer ... | 33,581 |
<|im_start|>user
A 270 m long train running at the speed of 120 km/hr crosses another train running in opposite direction at the speed of 80 km/hr in 9 sec. What is the length of the other train?
Answer Choices: (A) 230 m (B) 240 m (C) 260 m (D) 320 m (E) 520 m<|im_end|>
<|im_start|>assistant
<think>
</think>
Relativ... | 90,083 |
<|im_start|>user
The average age of husband, wife and their child 3 years ago was 27 years and that of wife and the child 5 years ago was 20 years. The present age of the husband is?
Answer Choices: (A) 30 years (B) 35 years (C) 40 years (D) 50 years (E) 55 years<|im_end|>
<|im_start|>assistant
<think>
</think>
Sum o... | 69,985 |
<|im_start|>user
The surface area of a cube is 1734 sq. cm. Find its volume
Answer Choices: (A) 2334 cubic.cm (B) 3356 cubic.cm (C) 4913 cubic.cm (D) 3478 cubic.cm (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Let the edge of the cube bea. Then,
6a2 = 1734
=> a = 17 cm.
Volume = a3 =... | 14,058 |
<|im_start|>user
If a is an integer greater than 6, which of the following must be divisible by 3?
Answer Choices: (A) a (a+5) (a-6) (B) a (a+2) (a-1) (C) a (a+3) (a-5) (D) a (a+4) (a-2) (E) a (a+1) (a-4) <|im_end|>
<|im_start|>assistant
<think>
</think>
anything in the form of (a-1) (a) (a+1) is divisible b... | 83,265 |
<|im_start|>user
According to a 2010 census, China's population was 1.34 billion people. If the ratio of male's to females is 1.052:1, respectively, then how many women are there? Answer in terms of (M = women).
Answer Choices: (A) W = M - 1.052 (B) W = (M) (1.052) (C) W = M + 1.052 (D) W = M/1.052 (E) W = 1.052 - M<|... | 49,388 |
<|im_start|>user
Which of the following is closest in value to (9^12)-(9^2)?
Answer Choices: (A) 9^9 (B) 9^8 (C) 9^7 (D) 9^12 (E) 9^5<|im_end|>
<|im_start|>assistant
<think>
</think>
9^12 is much larger number than 9^2 and as we need approximate value then it's pretty much negligible in this case, so: (9^12)-(9^2) = ... | 12,238 |
<|im_start|>user
What process allows waste molecules to exit a cell membrane if they are small enough?
Answer choice: (A) Diffusion. (B) Osmosis. (C) Active transport. (D) Endocytosis.<|im_end|>
<|im_start|>assistant
<think>
</think>
Diffusion enables small waste molecules to move out of the cell through the membrane... | 169 |
<|im_start|>user
Two family reunions are happening at the Leela hotel, the Oates reunion and the Hall reunion. All 100 guests at the hotel attend at least one of the reunions. If 50 people attend the Oates reunion and 62 people attend the Hall reunion, how many people attend both reunions?
Answer Choices: (A) 2 (B) 5... | 3,309 |
<|im_start|>user
If Susan takes 8 seconds to run y yards, how many minutes will it take her to run x yards at the same rate?
Answer Choices: (A) xy/8 (B) 8x/(60y) (C) 60xy/8 (D) xy/480 (E) 480x/y<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is B.
She runs x yards in 8x/y seconds =8x/60y minutes.
The a... | 95,073 |
<|im_start|>user
A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
Answer Choices: (A) 388 (B) 240 (C) 88 (D) 66 (E) 221<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = (54 * 5/18) m/sec... | 1,697 |
<|im_start|>user
A man misses a bus by 40 minutes if he travels at 30 kmph. If he travels at 40 kmph, then also he misses the bus by 10 minutes. What is the minimum speed required to catch the bus on time?
Answer Choices: (A) 17 kmph (B) 45 kmph (C) 17 kmph (D) 19 kmph (E) 13 kmph<|im_end|>
<|im_start|>assistant
<think... | 73,829 |
<|im_start|>user
Rs.1200 divided among P, Q and R. P gets half of the total amount received by Q and R. Q gets one-third of the total amount received by P and R. Find the amount received by R ?
Answer Choices: (A) 377 (B) 500 (C) 287 (D) 179 (E) 112<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the amounts to ... | 27,680 |
<|im_start|>user
The markup on a television set is 20 percent of the cost. The markup is what percent of the selling price?
(markup = selling price - cost)
Answer Choices: (A) 8% (B) 10% (C) 12 1/2% (D) 15% (E) 16 2/3%<|im_end|>
<|im_start|>assistant
<think>
</think>
SP = 1.2CP
markup/SP = 0.2CP/1.2CP = 1/6 * 100 = 5... | 17,429 |
<|im_start|>user
What is the sum of the different positive prime factors of 600?
Answer Choices: (A) 5 (B) 7 (C) 10 (D) 17 (E) 24<|im_end|>
<|im_start|>assistant
<think>
</think>
The prime factorization of 600
= 60 * 10
= 2^2*15 * 2*5
= 2^2*3*5 * 2*5
The sum of the different positive prime factors = 2+3+5 = 10
The an... | 49,342 |
<|im_start|>user
Two goods trains each 500 m long are running in opposite directions on parallel tracks. Their speeds are 45 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one?
Answer Choices: (A) 60 (B) 50 (C) 48 (D) 76 (E) 34<|im_end|>
<|im_start|>assistant
<... | 93,849 |
<|im_start|>user
A barrel holds 4 litres of paint and 4 litres of turpentine. How many quarts of turpentinemust be added to the container to create a mixture that is 3 parts petrol to 5 parts turpentine by volume?
Answer Choices: (A) 4/3 (B) 5/3 (C) 7/3 (D) 8/3 (E) 10/3<|im_end|>
<|im_start|>assistant
<think>
</think>... | 45,837 |
<|im_start|>user
At the end of three years what will be the compound interest at the rate of 10% p.a. on an amount of Rs.20000?
Answer Choices: (A) Rs.6620 (B) Rs.1258 (C) Rs.3556 (D) Rs.974 (E) Rs.456<|im_end|>
<|im_start|>assistant
<think>
</think>
A = 20000(11/10)3
= 26620
26620-20000=Rs.6620
The answer is A<|endo... | 9,273 |
<|im_start|>user
Two pipes can fill a tank in 18 and 12 hours, while third pipe will make the tank empty in 20 hours. If all three pipes operate simultaneously. In how many hours the tank will be filled ?
Answer Choices: (A) 5.25 Hours (B) 7.25 Hours (C) 8.25 Hours (D) 9.25 Hours (E) 11.25 Hours<|im_end|>
<|im_start|>a... | 25,667 |
<|im_start|>user
In how many ways can the letters of the CHEATER be arranged
Answer Choices: (A) 20160 (B) 2520 (C) 360 (D) 80 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
As we can see the letter "E" is twice in given word, so Required Number
=7!/2!=7∗6∗5∗4∗3∗2!/2!=2520
Option B
Th... | 39,982 |
<|im_start|>user
What astronomical phenomenon, formed of split asteroids or planetary rocks, provides clues about our solar system?
Answer choice: (A) meteorites (B) galaxies (C) comets (D) stars<|im_end|>
<|im_start|>assistant
<think>
</think>
Meteorites provide clues about our solar system. Many were formed in the ... | 377 |
<|im_start|>user
Luke and Ben are in a relay race. Luke runs the first leg of the course in 59 seconds. Ben runs the second leg of the course in 48 seconds. What was the average time they took to run a leg of the course?
Answer Choices: (A) 107 seconds (B) 59 seconds (C) 48 seconds (D) 53.5 seconds (E) 35.5 seconds<|im... | 81,994 |
<|im_start|>user
At a conference table, 4 employees gather around a table. One of the employees is the manager and he sits at the head of the table. Two of the employees sit on either side of the table. How many different seating arrangements can be made with these 4 employees?
Answer Choices: (A) 12 (B) 10 (C) 14 (D) ... | 74,956 |
<|im_start|>user
Mrs. Napier has 23 stickers to give to 9 students for a reward. How many
stickers will each student get? Will there be any stickers left over?
Answer Choices: (A) 2-5 (B) 2-4 (C) 2-6 (D) 2-3 (E) 2-8<|im_end|>
<|im_start|>assistant
<think>
</think>
23/9 = 2 R 5 Mrs. Napier will give each student 2 sti... | 11,552 |
<|im_start|>user
The average age of husband, wife and their child 3 years ago was 27 years and that of wife and the child 5 years ago was 20 years. The present age of the husband is
Answer Choices: (A) 40 (B) 35 (C) 45 (D) 55 (E) 65<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Sum of the present ages... | 29,339 |
<|im_start|>user
A traveler changes 150 pounds into rupees at the rate of Rs. 7000 for 100 pounds. He spends Rs. 9060 and changes the remaining amount back to pounds at the rate of 100 pounds to Rs. 7200. How many pounds will he get?
Answer Choices: (A) 20 pounds (B) 77 pounds (C) 66 pounds (D) 55 pounds (E) 99 pounds<... | 3,113 |
<|im_start|>user
Bob wants to run a mile in the same time as his sister. If Bob’s time for a mile is currently 10 minutes 40 seconds and his sister’s time is currently 10 minutes 8 seconds, by what percent does Bob need to improve his time in order run a mile in the same time as his sister?
Answer Choices: (A) 3% (B) ... | 79,259 |
<|im_start|>user
In the coordinate plane, Line A has a slope of -1 and an x-intercept of 1. Line B has a slope of 5 and a y-intercept of -5. If the two lines intersect at the point (a,b), what is the sum a+b?
Answer Choices: (A) 0 (B) 1 (C) 2 (D) 3 (E) 4<|im_end|>
<|im_start|>assistant
<think>
</think>
The equation o... | 4,289 |
<|im_start|>user
If the positive integer N is a perfect square, which of the following must be true?
I. The number of distinct factors of N is odd.
II. The sum of the factors of N is odd.
III. The number of distinct prime factors of N is even.
Answer Choices: (A) I only (B) II only (C) I and II (D) I and III (E) I, II ... | 9,616 |
<|im_start|>user
On rainy mornings, Mo drinks exactly N cups of hot chocolate (assume that N is an integer). On mornings that are not rainy, Mo drinks exactly 6 cups of tea. Last week Mo drank a total of 22 cups of tea and hot chocolate together. If during that week Mo drank 14 more tea cups than hot chocolate cups, th... | 60,082 |
<|im_start|>user
The proportion of copper and zinc in the brass is 3:7. How much zinc will there be in 100 kg of brass?
Answer Choices: (A) 70 (B) 50 (C) 40 (D) 270 (E) 170<|im_end|>
<|im_start|>assistant
<think>
</think>
7/10 * 100 = 70
The answer is A<|endoftext|> | 52,820 |
<|im_start|>user
For dinner at a restaurant, there are x choices of appetizers, y + 1 main courses, and z choices of dessert. How many total possible choices are there if you choose 1 appetizer, 1 main course, and 1 dessert for your meal?
Answer Choices: (A) x + y + z + 1 (B) xyz + xz (C) xy + z + 1 (D) xyz + 1 (E) xyz... | 77,819 |
<|im_start|>user
Train X crosses a stationary train Y in 60 seconds and a pole in 25 seconds with the same speed. The length of the train X is 300 m. What is the length of the stationary train Y?
Answer Choices: (A) 187 m (B) 420 m (C) 197 m (D) 167 m (E) 186 m<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the... | 85,567 |
<|im_start|>user
Each of the following numbers has a remainder of 3 when divided by 8 except:
Answer Choices: (A) 11 (B) 19 (C) 3 (D) 83 (E) 26<|im_end|>
<|im_start|>assistant
<think>
</think>
It's E
26 = 8*3+2
The answer is E<|endoftext|> | 74,063 |
<|im_start|>user
The volume of a certain substance is always directly proportional to its weight. If 48 cubic inches of the substance weigh 112 ounces, what is the volume, in cubic inches, of 63 ounces of this substance?
Answer Choices: (A) 27 (B) 36 (C) 42 (D) 64 (E) 147<|im_end|>
<|im_start|>assistant
<think>
</thin... | 93,130 |
<|im_start|>user
A book is bought for $32 and sold for $56. What is the profit in percentage?
Answer Choices: (A) 15 (B) 35 (C) 75 (D) 25 (E) 85<|im_end|>
<|im_start|>assistant
<think>
</think>
56/32 = 1.75
The answer is C<|endoftext|> | 75,751 |
<|im_start|>user
Air quality is a measure of what in the air?
Answer choice: (A) nitrogen (B) precipitation (C) pollutants (D) oxygen<|im_end|>
<|im_start|>assistant
<think>
</think>
Air quality is a measure of the pollutants in air. Poor air quality started to become a serious problem during the Industrial Revolutio... | 4,184 |
<|im_start|>user
A group of 8 employees book a full row at a movie theater. There are 2 best buddies and a couple and the 2 people in both those cases must always sit together. in how many arrangements can the students sit?
Answer Choices: (A) A.1296 (B) B.2880 (C) C.1850 (D) D.3546 (E) E.4200<|im_end|>
<|im_start|>ass... | 81,574 |
<|im_start|>user
. Data sufficiency question:
What will be the percentage profit of selling one liter milk.?
1) 16 liter of milk is sold at cost price after adding 20% water to it.
2) the cost price of one liter milk is Rs.16.
Answer Choices: (A) 23 (B) 29 (C) 27 (D) 1291 (E) 11<|im_end|>
<|im_start|>assistant
<think>
... | 9,901 |
<|im_start|>user
A waiter's salary consists of his salary and tips. During one week his tips were 9/4 of his salary. What fraction of his income came from tips ?
Answer Choices: (A) 4/9 (B) 5/4 (C) 9/13 (D) 5/9 (E) 6/9<|im_end|>
<|im_start|>assistant
<think>
</think>
Income = salary (s) +tips = s + s*9/4 = s*13/4
Tip... | 57,234 |
<|im_start|>user
How many electrons are in the hydrogen atom?
Answer choice: (A) five (B) one (C) two (D) three<|im_end|>
<|im_start|>assistant
<think>
</think>
For the hydrogen atom, there is no problem since there is only one electron in the H atom. However, when we get to helium we see that the first three quantum... | 2,090 |
<|im_start|>user
A man complete a journey in 10 hrs. He travels first half of the journey at the rate of 21 km/hr and second half at the rate of 24 km/hr. Find the total journey in km?
Answer Choices: (A) 334 (B) 224 (C) 667 (D) 2678 (E) 112<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the total distance be x... | 15,914 |
<|im_start|>user
A snooker tournament charges $45.00 for VIP seats and $15.00 for general admission (“regular” seats). On a certain night, a total of 300 tickets were sold, for a total cost of $7,500. How many fewer tickets were sold that night for VIP seats than for general admission seats?
Answer Choices: (A) 212 (B)... | 54,404 |
<|im_start|>user
Tom drives from town T to town B, driving at a constant speed of 60 miles per hour. From town B Tom immediately continues to town C. The distance between T and B is twice the distance between B and C. If the average speed of the whole journey was 36 mph, then what is Tom's speed driving from B to C in ... | 24,863 |
<|im_start|>user
Two vessels contains equal number of mixtures milk and water in the ratio 4:2 and 5:1. Both the mixtures are now mixed thoroughly. Find the ratio of milk to water in the new mixture so obtained?
Answer Choices: (A) 3:1 (B) 9:13 (C) 5:11 (D) 11:3 (E) 15:4<|im_end|>
<|im_start|>assistant
<think>
</think... | 67,040 |
<|im_start|>user
Water that is lost through the skin through evaporation from the skin surface without overt sweating and from air expelled from the lungs is known as what?
Answer choice: (A) insensible water loss (B) dehydration (C) osmotic process (D) logical water loss<|im_end|>
<|im_start|>assistant
<think>
</thin... | 4,527 |
<|im_start|>user
Two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 16 kmph and 21 kmph respectively. When they meet, it is found that one train has traveled 60 km more than the other one. The distance between the two stations is?
Answer Choices... | 41,452 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Matter is made of very small particles called atoms. Atoms can be linked together by chemical bonds. When two or more atoms link together, they form a molecule.
In a chemical change, the chemical bonds in the molecules break... | 4,670 |
<|im_start|>user
A person want to give his money of $1800 to his 3 children A,B,C in the ratio 2:3:4. What is the B's share?
Answer Choices: (A) $700 (B) $600 (C) $900 (D) $500 (E) $400<|im_end|>
<|im_start|>assistant
<think>
</think>
B's share = 1800*3/9 = $600
The answer is B<|endoftext|> | 47,562 |
<|im_start|>user
Find the one which does not belong to that group ?
Answer Choices: (A) 36 (B) 77 (C) 28 (D) 99 (E) 22<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
16, 36, 64 and 4 are perfect squares but not 28.
The answer is C<|endoftext|> | 13,790 |
<|im_start|>user
If the personal income tax rate is lowered from 40% to 33%, what is the differential savings for a tax payer having an annual income before tax to the tune of $45000?
Answer Choices: (A) $3500 (B) $5000 (C) $3150 (D) $7000 (E) $10000<|im_end|>
<|im_start|>assistant
<think>
</think>
Saving = (40-33)% ... | 42,019 |
<|im_start|>user
A certain auto manufacturer sold 3% fewer vehicles in 2007 than in 2006. If the manufacturer sold 2.1 million vehicles in 2006, how many vehicles, to the nearest 10,000, did the manufacturer sell in 2007?
Answer Choices: (A) 63,000 (B) 2,000,000 (C) 2,030,000 (D) 2,040,000 (E) 2,300,000<|im_end|>
<|im_... | 3,653 |
<|im_start|>user
2/3rd of the boys and 3/4th of the girls of a school participate in a function. If the no.of participating students is 550, out of which 150 are girls, what is the total no.of students in the school?
Answer Choices: (A) 500 (B) 600 (C) 800 (D) 900 (E) 1000<|im_end|>
<|im_start|>assistant
<think>
</thi... | 51,711 |
<|im_start|>user
A rectangular paper when folded into two congruent parts had a perimeter of 34cm foer each part folded along one set of sides and the same is 38cm. When folded along the other set of sides. What is the area of the paper?
Answer Choices: (A) 140 (B) 388 (C) 238 (D) 119 (E) 112<|im_end|>
<|im_start|>assi... | 80,931 |
<|im_start|>user
How many digits are in the number 50^8 × 8^3 × 11^2 x 10^2?
Answer Choices: (A) 22 (B) 20 (C) 21 (D) 18 (E) 17<|im_end|>
<|im_start|>assistant
<think>
</think>
Whenever you are asked to find the number of digits, try to bring the number in multiples of 10. This way, we can wasily calculate the umber ... | 18,109 |
<|im_start|>user
In a can, there is a mixture of milk and water in the ratio 4 : 5. If it is filled with an additional 8 litres of milk the can would be full and ratio of milk and water would become 6 : 5. Find the capacity of the can?
Answer Choices: (A) 73 (B) 44 (C) 72 (D) 62 (E) 43<|im_end|>
<|im_start|>assistant
<... | 41,878 |
<|im_start|>user
A 21% stock yielding 10% is quoted at :
Answer Choices: (A) 83.33 (B) 210 (C) 112 (D) 120 (E) 160<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution
To earn Rs. 10, money invested = Rs. 100.
To earn Rs. 21, money invested = Rs.(100/10X21) = Rs. 210.
∴ Market value of Rs. 100 stock =Rs. 210
T... | 18,425 |
<|im_start|>user
What is another term for life science?
Answer choice: (A) geology (B) ecology (C) biology (D) meteorology<|im_end|>
<|im_start|>assistant
<think>
</think>
Life science is the study of life and living organisms. Life science is also called biology.
The answer is C<|endoftext|> | 11,614 |
<|im_start|>user
2, 6, 12, 20, 30, 42, 56, ?
Answer Choices: (A) 63 (B) 67 (C) 69 (D) 72 (E) 75<|im_end|>
<|im_start|>assistant
<think>
</think>
The pattern is 1 × 2, 2 × 3, 3 × 4, 4 × 5, 6 × 7, 7 × 8,....
The answer is D<|endoftext|> | 19,240 |
<|im_start|>user
The speed of a boat in upstream is 50 kmph and the speed of the boat downstream is 90 kmph. Find the speed of the boat in still water and the speed of the stream?
Answer Choices: (A) 10 (B) 40 (C) 88 (D) 66 (E) 23<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed of the boat in still water = (50... | 55,210 |
<|im_start|>user
Of 200 people surveyed, 80 percent own a cellular phone and 45 percent own a pager. If all 200 people surveyed own a cellular phone, or a pager, or both, what percent of those surveyed either do not own a cellular phone or do not own a pager?
Answer Choices: (A) 35% (B) 45% (C) 55% (D) 65% (E) 75%<|im_... | 13,114 |
<|im_start|>user
A train running at the speed of 56 km/hr crosses a pole in 9 sec. What is the length of the train?
Answer Choices: (A) 140 m (B) 786 m (C) 566 m (D) 546 m (E) 445 m<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = 56 * 5/18 = 140/9 m/sec
Length of the train = speed * time = 140/9 * 9
= 140 m
... | 1,290 |
<|im_start|>user
If the wheel is 14 cm then the number of revolutions to cover a distance of 1056 cm is?
Answer Choices: (A) 11 (B) 14 (C) 18 (D) 12 (E) 19<|im_end|>
<|im_start|>assistant
<think>
</think>
2 * 22/7 * 14 * x = 1056 => x = 12
The answer is D<|endoftext|> | 79,433 |
<|im_start|>user
If A lends Rs.3500 to B at 10% per annum and B lends the same sum to C at 11% per annum then the gain of B in a period of 3 years is?
Answer Choices: (A) 110 (B) 106 (C) 105 (D) 107 (E) 109<|im_end|>
<|im_start|>assistant
<think>
</think>
(3500*1*3)/100 => 105
The answer is C<|endoftext|> | 34,254 |
<|im_start|>user
Find the odd man out.10, 25, 45, 50, 66, 70, 80
Answer Choices: (A) 45 (B) 50 (C) 66 (D) 70 (E) 80<|im_end|>
<|im_start|>assistant
<think>
</think>
Each of the numbers except 66 is multiple of 5.
The answer is C<|endoftext|> | 87,029 |
<|im_start|>user
The negative logarithm of the hydroxide-ion concentration of a solution is called?
Answer choice: (A) the hil (B) the hop (C) the piel (D) the poh<|im_end|>
<|im_start|>assistant
<think>
</think>
As with the hydrogen-ion concentration, the concentration of the hydroxide ion can be expressed logarithm... | 522 |
<|im_start|>user
A, B and C started a business by investing Rs. 1,20,000, Rs. 1,35,000 and ,Rs.1,50,000 respectively. Find the share of each, out of an annual profit of Rs. 56,700.
Answer Choices: (A) 16800;18900;21000 (B) 17800;19800;22500 (C) 15500;17600;20500 (D) 16400;17200;18900 (E) None of them<|im_end|>
<|im_sta... | 18,018 |
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