text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
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<|im_start|>user
A cube of edge 15cm is immersed completely in a rectangular vessel containing water. If the dimensions of the base of vessel are 20cm * 14cm , find the rise in water level?
Answer Choices: (A) 6cm (B) 12.05cm (C) 11.25cm (D) 15.12cm (E) 20.62cm<|im_end|>
<|im_start|>assistant
<think>
</think>
Increas... | 74,184 |
<|im_start|>user
1,5,6 ,25, 26,30,31, 125,126,130,131,150,151,155,156,……… What is the value of 33rd term in the
given series
Answer Choices: (A) 3124 (B) 3125 (C) 3126 (D) 3127 (E) 3128<|im_end|>
<|im_start|>assistant
<think>
</think>
1st terms gives 2nd and 3rd terms
1st term is 1
2nd term 1*5=5 3rd term= 5+1=6
simi... | 74,304 |
<|im_start|>user
The distance that light travels in one year is approximately 5,870,000,000,000 miles. The distance light travels in 100 years is:
Answer Choices: (A) 111 × 1827 miles (B) 999× 1238 miles (C) 346 × 1012 miles (D) 247 × 1012 miles (E) 587 × 1012 miles<|im_end|>
<|im_start|>assistant
<think>
</think>
Th... | 32,325 |
<|im_start|>user
3 buffaloes eat as much as 4 cows or 2 oxen. At a farm there are 15 buffaloes, 8 oxen and 24 cows. The fodder for these cattle is available for 24days. If 8 more cows & 9 more buffaloes are brought in, how long will the fodder last?
Answer Choices: (A) 10 (B) 13 (C) 15 (D) 18 (E) 21<|im_end|>
<|im_star... | 63,256 |
<|im_start|>user
What makes breathing difficult due to respiratory system disease?
Answer choice: (A) weak lungs (B) slippery air passages (C) narrow air passages (D) water in the lungs<|im_end|>
<|im_start|>assistant
<think>
</think>
respiratory system disease in which air passages of the lungs periodically become t... | 3,262 |
<|im_start|>user
The water from one outlet, flowing at a constant rate, can fill a swimming pool in 6 hours. The water from a second outlet, flowing at a constant rate, can fill the same pool in 2 hours. If both outlets are used at the same time, approximately what is the number of hours required to fill the pool?
Answ... | 64,052 |
<|im_start|>user
If r > a and L < a, which of the following cannot be true?
Answer Choices: (A) d + L = 14 (B) d - L = 7 (C) d - L = 1 (D) a - r = 9 (E) a + d = 9<|im_end|>
<|im_start|>assistant
<think>
</think>
Is the answer D?
If r>a, then r-a>0 (always positive). The converse would be a-r<0 (always negative).... | 79,174 |
<|im_start|>user
If x^2 = y^3 , where x and y are non negative and non zero integers, what is the greatest possible value of x / y from options below?
Answer Choices: (A) 1 (B) 3 (C) 2 (D) 4 (E) 5<|im_end|>
<|im_start|>assistant
<think>
</think>
B. x=27, y=9
27^2=729
9^3=729
x / y=27 / 9=3
My
The answer is B<|endofte... | 52,506 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
A letter starts with a greeting and ends with a closing. For each one, capitalize the first word and end with a comma. You should also capitalize proper nouns, such as Aunt Sue.
Dear Aunt Sue,
I'm glad you could come to my p... | 3,136 |
<|im_start|>user
The salaries of A,B,C are in the ratio 2 : 3 : 5. If the increments of 15%, 10% and 20% are allowed respectively in their salaries, then what will be the new ratio of their salaries?
Answer Choices: (A) 3 : 3 : 10 (B) 10 : 11 : 20 (C) 23 : 33 : 60 (D) Cannot be determined (E) None of these<|im_end|>
<|... | 22,923 |
<|im_start|>user
Anand and Deepak started a business investing Rs. 22,500 and Rs. 35,000 respectively. Out of a total profit of Rs. 14,720, Deepak's share is:?
Answer Choices: (A) s.8467 (B) s.8428 (C) s.8400 (D) s.8960 (E) s.8420<|im_end|>
<|im_start|>assistant
<think>
</think>
Ratio of their shares
= 22500 : 35000
... | 867 |
<|im_start|>user
Particles with what type of electric charges attract each other?
Answer choice: (A) opposite (B) similar (C) same (D) simple<|im_end|>
<|im_start|>assistant
<think>
</think>
Particles with opposite electric charges attract each other. This explains why negative electrons orbit the positive nucleus. P... | 8,362 |
<|im_start|>user
A & B are two towns. A person covers the distance from A to B on cycle at 17kmph and returns to A by a boat running at a uniform speed of 8kmph. His average speed for the whole journey is
Answer Choices: (A) 12.5 km/h (B) 12.33 km/h (C) 10.75 km/h (D) 10.88 km/h (E) 10.78 km/h<|im_end|>
<|im_start|>ass... | 28,759 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Figures of speech are words or phrases that use language in a nonliteral or unusual way. They can make writing more expressive.
Alliteration is the repetition of sounds at the beginning of nearby words.
What a lucky little l... | 3,443 |
<|im_start|>user
Twenty four men can do a work in 42 days. How many men are required to complete the work in 21 days?
Answer Choices: (A) 20 (B) 10 (C) 50 (D) 40 (E) 48<|im_end|>
<|im_start|>assistant
<think>
</think>
E
48
We have M1 D1 = M2 D2
So, 24 * 42 = M2 * 21 => M2 = 48.
The answer is E<|endoftext|> | 67,651 |
<|im_start|>user
What will come in place of the x in the following Number series? 12, 38, 116, 350, 1052, x
Answer Choices: (A) 2980 (B) 2990 (C) 3000 (D) 3100 (E) 3158<|im_end|>
<|im_start|>assistant
<think>
</think>
12
12 × 3 + 2 = 38
38 × 3 + 2 = 116
116 × 3 + 2 = 350
350 × 3 + 2 = 1052
1052 × 3 + 2 = 3158
E
The a... | 93,715 |
<|im_start|>user
The area of a square is equal to five times the area of a rectangle of dimensions 125 cm * 64 cm. What is the perimeter of the square?
Answer Choices: (A) 300 (B) 800 (C) 500 (D) 600 (E) 700<|im_end|>
<|im_start|>assistant
<think>
</think>
Area of the square = s * s = 5(125 * 64)
=> s = 25 * 8 = 200 ... | 54,210 |
<|im_start|>user
The average weight of A, B and C is 45 kg. If the average weight of A and B be 40 kg and that of B and C be 46 kg, then the weight of B is:
Answer Choices: (A) 17 kg (B) 20 kg (C) 26 kg (D) 31 kg (E) 37 kg<|im_end|>
<|im_start|>assistant
<think>
</think>
let d sum of a, b, c is 3*45=135
and sum of a ... | 86,254 |
<|im_start|>user
A and B starts a business with Rs.8000 each, and after 4 months, B withdraws half of his capital . How should they share the profits at the end of the 21 months?
Answer Choices: (A) 18:11 (B) 18:15 (C) 21:11 (D) 18:121 (E) 18:112<|im_end|>
<|im_start|>assistant
<think>
</think>
A invests Rs.8000 for ... | 4,088 |
<|im_start|>user
Seller selling an apple for Rs.20, a Seller loses 1/6th of what it costs him. The CP of the apple is?
Answer Choices: (A) 10 (B) 12 (C) 21 (D) 18 (E) 20<|im_end|>
<|im_start|>assistant
<think>
</think>
SP=20Loss=CP21Loss=CP−SP=CP−20⇒CP21=CP−20⇒20 CP21=20⇒CP21=1⇒CP=21
C
The answer is C<|endoftext|> | 96,497 |
<|im_start|>user
60 women can complete a work in 7 days and 10 children take 14 days to complete the work. How many days will 5 women and 10 children take to complete the work?
Answer Choices: (A) 8 days (B) 6 days (C) 7 days (D) 9 days (E) 12 days<|im_end|>
<|im_start|>assistant
<think>
</think>
1 women's 1 day work... | 85,322 |
<|im_start|>user
A certain theater has 100 balcony seats. For every $2 increase in the price of a balcony seat above $10, 5 fewer seats will be sold. If all the balcony seats are sold when the price of each seat is $10, which of the following could be the price of a balcony seat if the revenue from the sale of balcony ... | 84,261 |
<|im_start|>user
Evaluate: 11110 + 24*3*10 = ?
Answer Choices: (A) 90111 (B) 52631 (C) 11190 (D) 65321 (E) 11133<|im_end|>
<|im_start|>assistant
<think>
</think>
According to order of operations, 24?3?10 (division and multiplication) is done first from left to right
24/2 = 8* 10 = 80
Hence
11110 + 24*3*10 = 11110 + 8... | 53,802 |
<|im_start|>user
There is a 30% increase in the price of an article in the first year, a 20% decrease in the second year and a 10% increase in the next year. If the final price of the article is Rs.4576 , then what was the price of the article initially?
Answer Choices: (A) Rs.5000 (B) Rs.3000 (C) Rs.4000 (D) Rs.2000 (... | 78,351 |
<|im_start|>user
Three business people who wish to invest in a new company. Each person is willing to pay one third of the total investment. . After careful calculation, they realize that each of them would pay $ 7800 less if they could find two more equal investors. How much is the total investment in the new business... | 5,330 |
<|im_start|>user
The ratio of the radius of two circles is 2: 3, and then the ratio of their areas is?
Answer Choices: (A) 1:7 (B) 2:9 (C) 4:9 (D) 3:7 (E) 3:4<|im_end|>
<|im_start|>assistant
<think>
</think>
r1: r2 = 2: 3
Î r1^2: Î r2^2
r1^2: r2^2 = 4:9
The answer is C<|endoftext|> | 21,232 |
<|im_start|>user
What is a group of organs that work together to do the same job?
Answer choice: (A) an organ colony (B) an organ assembly (C) an organ system (D) an organ battery<|im_end|>
<|im_start|>assistant
<think>
</think>
Organs may be organized into organ systems. An organ system is a group of organs that wor... | 1,943 |
<|im_start|>user
A table is bought for Rs.400/- and sold at Rs.250/- find gain or loss percentage
Answer Choices: (A) 5%loss (B) 10%gain (C) 20%gain (D) 37.5%loss (E) 20% loss<|im_end|>
<|im_start|>assistant
<think>
</think>
Formula = (Selling price ~ Cost price)/Cost price * 100
= (250 - 400)/400 = 37.5% loss
D
The ... | 84,244 |
<|im_start|>user
Tammy climbed a mountain in two days. She spent a total of 14 hours climbing the mountain. On the second day, she walked at an average speed that was half a kilometer per hour faster, but 2 hours less than what she walked on the first day. If the total distance she climbed during the two days is 52 kil... | 9,600 |
<|im_start|>user
An amount at compound interest sums to Rs.17640/- in 2 years and to Rs.19404/- in 3 years at the same rate of interest. Find the rate percentage?
Answer Choices: (A) 5% (B) 7% (C) 9% (D) 10% (E) 12%<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
The difference of two successive amounts... | 52,987 |
<|im_start|>user
A theater box office sold an average (arithmetic mean) of 63 tickets per staff member to a particular movie. Among the daytime staff, the average number sold per member was 78, and among the evening staff, the average number sold was 60. If there are no other employees, what was the ratio of the number... | 37,882 |
<|im_start|>user
Two men started from the same place walk at the rate of 10kmph and 12kmph respectively. What time will they take to be 16 km apart, if they walk in the same direction?
Answer Choices: (A) 5hours (B) 6hours (C) 8hours (D) 16hours (E) 12hours<|im_end|>
<|im_start|>assistant
<think>
</think>
To be 2km a... | 4,308 |
<|im_start|>user
Which of the following is closer to √0.5+√0.1?
Answer Choices: (A) 0.5 (B) 0.7 (C) 0.9 (D) 1.0 (E) 1.2<|im_end|>
<|im_start|>assistant
<think>
</think>
√0.5+√0.1=approximately √0.49+√0.09=0.7+0.3=1.0. Hence, the
The answer is D<|endoftext|> | 74,179 |
<|im_start|>user
The combined age of husband and wife on their 20th wedding anniversary was twice than it was at the time of wedding. If the husband is 3 years older than his wife. How old was he at the time of his marriage?
Answer Choices: (A) 29 years (B) 38.5 years (C) 21.5 years (D) 32 years (E) None of these<|im_e... | 29,664 |
<|im_start|>user
A glass was filled with 10 ounces of water, and 0.03 ounce of the water evaporated each day during a 20-day period. What percent of the original amount of water evaporated during this period?
Answer Choices: (A) 0.006% (B) 0.06% (C) 0.6% (D) 6% (E) 60%<|im_end|>
<|im_start|>assistant
<think>
</think>
... | 18,272 |
<|im_start|>user
Of 61 players on a cricket team, 37 are throwers. The rest of the team is divided so one third are left- handed and the rest are right handed. Assuming that all throwers are right handed, how many right- handed players are there total?
Answer Choices: (A) 53 (B) 55 (C) 59 (D) 71 (E) 92<|im_end|>
<|im_s... | 18,978 |
<|im_start|>user
The speed of the boat in still water in 12 kmph. It can travel downstream through 42 kms in 3 hrs. In what time would it cover the same distance upstream?
Answer Choices: (A) 8 hours (B) 6 hours (C) 4.2 hours (D) 5 hours (E) 6 hours<|im_end|>
<|im_start|>assistant
<think>
</think>
Still Water=12km/hr... | 10,569 |
<|im_start|>user
After working for 6 days, Ashok finds that only 1/3 rd of the work has been done. He employs Ravi who is 60% as efficient as Ashok. How many days more would Ravi take to complete the work?
Answer Choices: (A) 19 days (B) 10 days (C) 20 days (D) 12 days (E) 15 days<|im_end|>
<|im_start|>assistant
<think... | 67,785 |
<|im_start|>user
If C is a whole number, C+1 is a whole number after that. If A is a whole number, what is a whole number before that?
Answer Choices: (A) -1 (B) 1 (C) 0 (D) 2 (E) -2<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution:
We know that the number ‘0’ together with the natural numbers gives us the n... | 96,855 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
When writing research papers, you will often be asked to follow a particular style guide for your citations. One popular style guide is the Modern Language Association (MLA) Handbook.
Below are the basic formats for some com... | 2,758 |
<|im_start|>user
Tom purchased 8kg of apples at the rate of 70 per kg and 910 kg of mangoes at the rate of 55 per kg. How much amount did he pay to the shopkeeper?
Answer Choices: (A) A) 1110 (B) B) 1045 (C) C) 1055 (D) D) 1060 (E) E) 1075<|im_end|>
<|im_start|>assistant
<think>
</think>
Cost of 8 kg apples= 70 × 8 =... | 19,780 |
<|im_start|>user
What type of cells make up tumors?
Answer choice: (A) cancer cells (B) white blood cells (C) consumption cells (D) boyle cells<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is A<|endoftext|> | 1,759 |
<|im_start|>user
The Product of two number is 20. The sum of square of the two number is 81. Find the sum of the numbers
Answer Choices: (A) 21 (B) 19 (C) 9 (D) 11. (E) 8<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution
Let the numbers be x, y
= x2+y2= 81
=2(x+y)=40
=> (x+y)2=81+40=121,
=> x+y=sqrt(121)=11.
... | 94,598 |
<|im_start|>user
A train which has 500 m long, is running 100 kmph. In what time will it cross a person moving at 10 kmph in same direction ?
Answer Choices: (A) 20 sec (B) 25 sec (C) 30 sec (D) 35 sec (E) 40 sec<|im_end|>
<|im_start|>assistant
<think>
</think>
Time taken to cross a moving person = length of train/ r... | 71,879 |
<|im_start|>user
Evaluate: 50 - 12*3*2 = ?
Answer Choices: (A) 62 (B) 52 (C) 32 (D) 12 (E) 42<|im_end|>
<|im_start|>assistant
<think>
</think>
According to order of operations, 12?3?2 (division and multiplication) is done first from left to right
12**2 = 4* 2 = 8
Hence
50 - 12*3*2 = 50 - 8 = 42
The answer is E<|endof... | 63,738 |
<|im_start|>user
A, B and C can do a work in 7 , 14 and 21 days respectively. They completed the work and got Rs.242. What is the share of C?
Answer Choices: (A) 33 (B) 44 (C) 55 (D) 77 (E) 99<|im_end|>
<|im_start|>assistant
<think>
</think>
The ratio of their working rates = 1/7 : 1/14 : 1/21 = 6 : 3 : 2.
Since, the... | 69,870 |
<|im_start|>user
All waves are the way energy travels through what?
Answer choice: (A) time (B) matter (C) vacuums (D) space<|im_end|>
<|im_start|>assistant
<think>
</think>
All waves are the way energy travels through matter. Ocean waves are energy traveling through water. They form when wind blows over the surface ... | 11,202 |
<|im_start|>user
A taxi company costs $2.75 for the first quarter-mile and 12.5 cents for each additional quarter mile. What is the maximum distance you can travel with $6.50?
Answer Choices: (A) 4 miles (B) 5 3/4 miles (C) 6 1/2 miles (D) 7 3/4 miles (E) 8 1/4 miles<|im_end|>
<|im_start|>assistant
<think>
</think>
U... | 74,464 |
<|im_start|>user
Simplify 64568 * 9999
Answer Choices: (A) 645615432 (B) 236547892 (C) 289546354 (D) 558666666 (E) 236669855<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Although it is a simple question, but the trick is to save time in solving this.
Rather than multiplying it we can do as follows:
6... | 37,867 |
<|im_start|>user
Rs.8000 become Rs.9261 in a certain interval of time at the rate of 5% per annum of C.I. Find the time?
Answer Choices: (A) 4 (B) 6 (C) 2 (D) 3 (E) 8<|im_end|>
<|im_start|>assistant
<think>
</think>
9261 = 8000(21/20)N
(21/20)3 = (21/20)N => N = 3
The answer is D<|endoftext|> | 69,319 |
<|im_start|>user
A thief goes away with a SANTRO car at a speed of 22 kmph. The theft has been discovered after half an hour and the owner sets off in a bike at 72 kmph when will the owner over take the thief from the start?
Answer Choices: (A) 5/3 hours (B) 11/25 hours (C) 2/3 hours (D) 1/3 hours (E) 2/5 hours<|im_end... | 338 |
<|im_start|>user
A man buys Rs. 44 shares paying 9% dividend. The man wants to have an interest of 12% on his money. The market value of each share is:
Answer Choices: (A) s. 12 (B) s. 15 (C) s. 18 (D) s. 21 (E) s. 33<|im_end|>
<|im_start|>assistant
<think>
</think>
Dividend on Rs. 44 = Rs. 9/100 x 44 =Rs. 3.96 .
Rs.... | 16,609 |
<|im_start|>user
If x is an odd negative integer and y is an even integer, which of the following statements must be true?
I. (3x + 2y) is negative integer
II. (xy)^2 is negative integer
III. (y^2 - x) is negative integer
Answer Choices: (A) None of these (B) I Only (C) II only (D) IIIonly (E) I,II only<|im_end|>
<|im_... | 14,336 |
<|im_start|>user
A trader bought a car at 20% discount on its original price. He sold it at a 40% increase on the price he bought it. What percent of profit did he make on the original price?
Answer Choices: (A) 16% (B) 88% (C) 12% (D) 89% (E) 56%<|im_end|>
<|im_start|>assistant
<think>
</think>
Original price = 100
... | 77,846 |
<|im_start|>user
A family with 1 mother, 1 father, and 2 children sit in a car with 2 front seats and 2 back seats. If the mother drives with a child in the front, and the father sits in the back center seat with the other one children on either side of him, how many seating arrangements are possible?
Answer Choices: (... | 72,463 |
<|im_start|>user
A boatman goes 2 km against the current of the stream in 1 hour and goes 1 km along the current in 10 minutes. How long will it take to go 6 km in stationary water?
Answer Choices: (A) 40 minutes (B) 1 hour (C) 1 hour 15 min (D) 1 hour 30 min (E) 1 hour 10 min<|im_end|>
<|im_start|>assistant
<think>
<... | 79,839 |
<|im_start|>user
A bonus of Rs.2800 is to be divided among 3 people such that Alex gets twice as much as David, who receives one-fourth as much as Peter. What amount did Peter get?
Answer Choices: (A) 1600 (B) 1602 (C) 2768 (D) 2686 (E) 1297<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Let Peter’s sh... | 2,062 |
<|im_start|>user
A box contains nine slips that are each labeled with one number: 1, 2, 3, 5, 8, 13, 21, and 55. Two of the slips are drawn at random from the box without replacement. What is the probability that the sum of the numbers on the two slips is equal to one of the numbers left in the box?
Answer Choices: (A)... | 66,052 |
<|im_start|>user
Three consecutive odd integers are in increasing order such that the sum of the last two integers is 13 more than the first integer. Find the three integers?
Answer Choices: (A) 9, 11, 13 (B) 11, 13, 15 (C) 13, 15, 17 (D) 7, 9, 11 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Let... | 50,363 |
<|im_start|>user
List I: { y, 2, 4, 7, 10, 11}
List II: {3, 3, 4, 6, 7, 10}
If the median E of List I is equal to the sum of the median of list II and the mode of list II, then y equals
Answer Choices: (A) 5 (B) 7 (C) 8 (D) E=9 (E) 10<|im_end|>
<|im_start|>assistant
<think>
</think>
mode of list ii =3
median E of lis... | 53,858 |
<|im_start|>user
A car is running at a speed of 120kmph. What distance will it cover in 12sec?
Answer Choices: (A) 396m (B) 267m (C) 180m (D) 200m (E) 250m<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = 120kmph = 120*5/18 = 33 m/s
Distance covered in 12sec = 33*12 = 396m
The answer is A<|endoftext|> | 47,073 |
<|im_start|>user
Whose rules are too simple to explain the inheritance of human height?
Answer choice: (A) Einstein (B) mendel (C) Pascal (D) Darwin<|im_end|>
<|im_start|>assistant
<think>
</think>
Unlike Mendel's peas, people do not all fall into two categories: short or tall. Most people, in fact, are somewhere in ... | 5,656 |
<|im_start|>user
A rectangular room has the rectangular shaped rug shown as above figure such that the rug’s area is 220 square feet and its length is 12 feet longer than its width. If the uniform width between the rug and room is 12 feet, what is the area of the region uncovered by the rug (shaded region), in square f... | 13,321 |
<|im_start|>user
If the number 5 * 2 is divisible by 6, then * = ?
Answer Choices: (A) 2 (B) 3 (C) 5 (D) 6 (E) 1<|im_end|>
<|im_start|>assistant
<think>
</think>
6 = 3 x 2. Clearly, 5 * 2 is divisible by 2. Replace * by x.
Then, (5 + x + 2) must be divisible by 3. So, x = 2.
The answer is A<|endoftext|> | 21,142 |
<|im_start|>user
Two trains 150 meters and 165 meters in length respectively are running in opposite directions, one at the rate of 80 km and the other at the rate of 65 kmph. In what time will they be completely clear of each other from the moment they meet?
Answer Choices: (A) 7.18 (B) 7.12 (C) 7.16 (D) 7.55 (E) 7.82... | 57,176 |
<|im_start|>user
How many numbers between 100 and 900 begin or end with 3?
Answer Choices: (A) 80 (B) 100 (C) 150 (D) 170 (E) 190<|im_end|>
<|im_start|>assistant
<think>
</think>
How many numbers between 100 and 900 begin or end with 3?
Just think that those numbers are:
i) The ones ending in 3: 103, 113, 123, ... , ... | 84,697 |
<|im_start|>user
John and David can finish a job together in 6 hours. If John can do the job by himself in 8 hours, what percent of the job does David do?
Answer Choices: (A) 35% (B) 45% (C) 25% (D) 30% (E) 20%<|im_end|>
<|im_start|>assistant
<think>
</think>
You can also plug in numbers. For example, Bob and Alice w... | 72,674 |
<|im_start|>user
The radius of a cylinder is 8 m, height 14 m. The volume of the cylinder is:
Answer Choices: (A) 2816 (B) 5500 (C) 3300 (D) 1100 (E) 4400<|im_end|>
<|im_start|>assistant
<think>
</think>
Cylinder volume = πr(power2)h
= 22/7 × 8 × 8 × 14
= 2816 m(power3)
The answer is A<|endoftext|> | 46,902 |
<|im_start|>user
there are 35 student in a school. 20 if them speek hindi 19 of them speak eng 9 of them speak both , then how many student neithe speak eng nor speak hindi
Answer Choices: (A) 28 (B) 30 (C) 32 (D) 35 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Total Number of Students = 35
No o... | 2,579 |
<|im_start|>user
If 20 men can build a wall 112 metres long in 6 days, what length of a similar wall can be built by 30 men in 3 days?
Answer Choices: (A) 65mtr. (B) 84mtr (C) 70mtr. (D) 78mtr. (E) 17mtr.<|im_end|>
<|im_start|>assistant
<think>
</think>
20 men is 6 days can build 112 metres
30 men in 3 days can build... | 46,306 |
<|im_start|>user
The cost price of a radio is Rs.1340 and it was sold for Rs.1210, find the loss %?
Answer Choices: (A) 18% (B) 9% (C) 22% (D) 24% (E) 21<|im_end|>
<|im_start|>assistant
<think>
</think>
1340 ---- 130
100 ---- ? => 9%
The answer is B<|endoftext|> | 65,865 |
<|im_start|>user
A and B can do a piece of work in 2 days and 6 days respectively. Both work for 1 days and then A goes away. Find how long will B take to complete the remaining work?
Answer Choices: (A) 1 days (B) 2 days (C) 3 days (D) 4 days (E) 5 days<|im_end|>
<|im_start|>assistant
<think>
</think>
1/2 + (1 + x)/... | 32,795 |
<|im_start|>user
Samantha is driving from City A to City B. The distance between the two cities is 88 miles. She is driving at a constant speed of 22 miles per hour, and has been travelling for half an hour after starting from City A. What percent of the total distance she is yet to cover?
Answer Choices: (A) 87 (B) 87... | 4,450 |
<|im_start|>user
Consider a lady took a loan from a bank at the rate of 12% p.a. simple interest. After 3 years she had to pay Rs. 9000
interest only for the period. The principal amount borrowed by her was
Answer Choices: (A) Rs. 25000 (B) Rs. 10000 (C) Rs. 15000 (D) Rs. 20000 (E) None of these<|im_end|>
<|im_start|>a... | 46,452 |
<|im_start|>user
If a coin is tossed 7 times what is the probability that it will land either heads 7 times or tails 7 times?
Answer Choices: (A) 1/4 (B) 1/8 (C) 1/16 (D) 1/32 (E) 1/64<|im_end|>
<|im_start|>assistant
<think>
</think>
The probability of 7 heads is (1/2)^7 = 1/128
The probability of 7 tails is (1/2)^7 ... | 96,220 |
<|im_start|>user
For how many values n is 2^n = n^2 ?
Answer Choices: (A) None (B) One (C) Two (D) Three (E) More than Three<|im_end|>
<|im_start|>assistant
<think>
</think>
draw a graph with x^2 and 2^x, you'll see 3 intercepts between the 2 curves, but one is in the 2nd quadrant,Thus 3 are valid, and
The answer is ... | 17,568 |
<|im_start|>user
You collect coins. Suppose you start out with 11. Since you're nice, you give Sharon 2 coins. Since you're nice, you give Steven 4 coins. How many coins do you have at the end?
Answer Choices: (A) 2 (B) 3 (C) 4 (D) 5 (E) 6<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution
Start with 11 coins.... | 69,734 |
<|im_start|>user
Astronomers have wondered if the universe is expanding fast enough to escape the pull of what?
Answer choice: (A) gravity (B) kinetic energy (C) Coreolis effect (D) light<|im_end|>
<|im_start|>assistant
<think>
</think>
We know that the Universe is expanding. Astronomers have wondered if it is expand... | 648 |
<|im_start|>user
If 36 men can do a piece of work in 25 hours, in how many hours will 10 men
do it ?
Answer Choices: (A) 65 hours (B) 90 hours (C) 30 hours (D) 62 hours (E) 66 hours<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the required number of hours be x. Then,
Less men, More hours (Indirect Proportion)... | 64,859 |
<|im_start|>user
In a division sum, the quotient is 36, the divisor 85 and the remainder 26, find the dividend?
Answer Choices: (A) 3066 (B) 3586 (C) 3086 (D) 3968 (E) 3286<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
36 * 85 + 26 = 3086
The answer is C<|endoftext|> | 27,292 |
<|im_start|>user
What proteins synthesized in cells act as catalysts?
Answer choice: (A) hormones (B) virophages (C) byproducts (D) enzymes<|im_end|>
<|im_start|>assistant
<think>
</think>
Chemical reactions constantly occur inside the cells of living things. However, under the conditions inside cells, most biochemic... | 3,890 |
<|im_start|>user
Amanda goes to the toy store to buy 1 ball and 3 different board games. If the toy store is stocked with 3 types of balls and 6 types of board games, how many different selections W of the 4 items can Amanda make?
Answer Choices: (A) 9 (B) 12 (C) 14 (D) 15 (E) 60<|im_end|>
<|im_start|>assistant
<think>... | 95,858 |
<|im_start|>user
A train running at the speed of 90 km/hr crosses a pole in 9 seconds. Find the length of the train.
Answer Choices: (A) 150 meter (B) 225 meter (C) 186 meter (D) 288 meter (E) 265 meter<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = 90*(5/18) m/sec
= 25 m/sec
Length of Train (Distance)
= Sp... | 86,837 |
<|im_start|>user
What is the average of xx, 2x2x, and 66?
Answer Choices: (A) 2x+2 (B) x+2x-2 (C) x+2x+2 (D) x+2 (E) x+2x<|im_end|>
<|im_start|>assistant
<think>
</think>
By the definition of an average, we get:
x+2x+63=3x+63x+2x+63=3x+63
=3(x+2)3=x+2.=3(x+2)3=x+2.
Hence, the answer is x+2x+2 or
Option C
The answer i... | 73,518 |
<|im_start|>user
A numberais squared and then multiplied by negative 3. The result of this operation E is equal to three times the sum of three timesaand two. What is one possible value ofa?
Answer Choices: (A) -3 (B) -2 (C) 1 (D) 2 (E) 3<|im_end|>
<|im_start|>assistant
<think>
</think>
E=-3*a^2=3(3a+2)
a= -2 or -1
a... | 61,601 |
<|im_start|>user
There are 5 marbles in a bag - 2 are orange and 3 are blue. If two marbles are pulled from the bag, what is the probability that at least one will be orange?
Answer Choices: (A) 7/10 (B) 3/5 (C) 2/5 (D) 3/10 (E) 1/10<|im_end|>
<|im_start|>assistant
<think>
</think>
Probability of the first ball being... | 47,685 |
<|im_start|>user
If the sum of a set of 5 different positive prime numbers is 94, what is the difference between largest and smallest prime numbers between them?
Answer Choices: (A) 53 (B) 51 (C) 47 (D) 41 (E) 31<|im_end|>
<|im_start|>assistant
<think>
</think>
All prime numbers apart from 2 are odd.
Even + Even = Ev... | 93,885 |
<|im_start|>user
What is the Mode of the following data set S- {1,2,6,9,6,6,10}
Answer Choices: (A) 9 (B) 6 (C) 10 (D) 1 (E) 2<|im_end|>
<|im_start|>assistant
<think>
</think>
Mode of a set is the data point that is repeated the most number of times. In the set given, 6 is repeated.
The answer is B<|endoftext|> | 49,334 |
<|im_start|>user
A train 600 meters long is running with a speed of 50 kmph. The time taken by it to cross a tunnel 170 meters long is?
Answer Choices: (A) 287 sec (B) 288 sec (C) 55 sec (D) 16 sec (E) 17 sec<|im_end|>
<|im_start|>assistant
<think>
</think>
D = 600 + 170 = 770
S = 50 * 5/18 = 14 mps
T = 770/14 = 55 s... | 55,504 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Chemical changes and physical changes are two common ways matter can change.
In a chemical change, the type of matter changes. The types of matter before and after a chemical change are always different.
Some chemical change... | 4,952 |
<|im_start|>user
John invested a certain sum of money in a simple interest bond whose value grew to $300 at the end of 2 years and to $ 500 at the end of another 3 years. What was the rate of interest in which he invested his sum?
Answer Choices: (A) 12% (B) 40% (C) 6.67% (D) 25% (E) 33%<|im_end|>
<|im_start|>assistant... | 9,196 |
<|im_start|>user
The value of a machine depreciates at 20% per annum. If its present value is Rs. 1,50,000, at what price should it be sold after two years such that a profit of Rs. 22,000 is made?
Answer Choices: (A) 328897 (B) 120000 (C) 118000 (D) 277768 (E) 188871<|im_end|>
<|im_start|>assistant
<think>
</think>
... | 5,589 |
<|im_start|>user
If (4 - x)/(5 + x) = x, what is the value of x^2 + 6x - 4?
Answer Choices: (A) -3 (B) 0 (C) 2 (D) 4 (E) 6<|im_end|>
<|im_start|>assistant
<think>
</think>
(4-x) = x*(5+x)
(4-x) = 5x+x^2
0 = x^2+6x-4
The answer is B<|endoftext|> | 69,845 |
<|im_start|>user
3^2 + 3^2 + 3^2 + 3^2 =
Answer Choices: (A) 3^3 (B) 3^6 (C) 4^8 (D) 4^9 (E) 4^12<|im_end|>
<|im_start|>assistant
<think>
</think>
Hi shakticnb,
Certain Quant questions on the GMAT are just about 'organizing' the information in a specific way. If you find yourself getting confused by a prompt, think a... | 21,047 |
<|im_start|>user
What type pf mining is used to obtain mineral ores that are near the surface?
Answer choice: (A) multi-layered mining (B) function mining (C) core mining (D) surface mining<|im_end|>
<|im_start|>assistant
<think>
</think>
Surface mining is used to obtain mineral ores that are near the surface. Blasti... | 819 |
<|im_start|>user
Let A be the positive integer satisfying the following equation.
9/10
+
99/102th +
999/103rd + · · · +
9999999999/1010th =
A/1010th
How many 8’s appear in the decimal representation of A ?
Answer Choices: (A) 0 (B) 1 (C) 5 (D) 8 (E) 9<|im_end|>
<|im_start|>assistant
<think>
</think>
The sum equals (1... | 95,764 |
<|im_start|>user
What no. should be subtracted from x^3+4x^2−7x+12x^3+4x^2−7x+12, if it is to be perfectly divisible by x+3x+3?
Answer Choices: (A) 39 (B) 42 (C) 45 (D) 47 (E) 48<|im_end|>
<|im_start|>assistant
<think>
</think>
According to remainder theorem when dfracf(x)x+adfracf(x)x+a, then the remainder is f(−a)f... | 8,306 |
<|im_start|>user
The total number of plums that grow during each year on a certain plum tree is equal to the number of plums that grew during the previous year, less the age of the tree in years (rounded down to the nearest integer). During its 5th year, the plum tree grew 50 plums. If this trend continues, how many pl... | 10,338 |
<|im_start|>user
On a certain plane, 2/5 of the passengers speak French 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) 15 (C) 40 (D) 54 (E) 60<|im_end|>
<|im_start|>assist... | 11,575 |
<|im_start|>user
In how many ways, a committee of 5 members can be selected from 4 men and 5 ladies, consisting of 3 men and 2 ladies?
Answer Choices: (A) 40 (B) 152 (C) 175 (D) 200 (E) 212<|im_end|>
<|im_start|>assistant
<think>
</think>
(3 men out 4) and (2 ladies out of 5) are to be chosen
Required number of ways ... | 459 |
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