text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
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<|im_start|>user
How many pairs (w, w+1) have one or more prime factors common, where w is an integer and 2 ≤ w ≤9 ?
Answer Choices: (A) 0 (B) 1 (C) 2 (D) 3 (E) 4<|im_end|>
<|im_start|>assistant
<think>
</think>
w and w+1 are consecutive integers.
Two consecutive integers are co-prime, which means that they don't sha... | 25,965 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Figures of speech are words or phrases that use language in a nonliteral or unusual way. They can make writing more expressive.
A euphemism is a polite or indirect expression that is used to de-emphasize an unpleasant topic.... | 1,504 |
<|im_start|>user
x+(1/x) = 1.5 find x^2 + (1/x^2)
Answer Choices: (A) 2.25 (B) 3.25 (C) 4.25 (D) 5.25 (E) 0.25<|im_end|>
<|im_start|>assistant
<think>
</think>
squaring on both sides (x+1/x)^2=1.5^2
x^2+1/X^2=2.25-2
x^2+1/X^2=0.25
The answer is E<|endoftext|> | 54,397 |
<|im_start|>user
The number of female students in a college in the previous year was 520. If in the current year the number of male students in the college doubled over that of the previous year but the proportion of male students halved, then what is the number of female students in the college in the current year?
An... | 28,688 |
<|im_start|>user
An article is bought for Rs.600 and sold for Rs.500, find the loss percent?
Answer Choices: (A) 16 2/8% (B) 16 5/3% (C) 10 2/3% (D) 16 2/3% (E) 16 1/3%<|im_end|>
<|im_start|>assistant
<think>
</think>
600 ---- 100
100 ---- ? => 16 2/3%
The answer is D<|endoftext|> | 81,455 |
<|im_start|>user
A can do a piece of work in 4 days. B can do it in 5 days. With the assistance of C they completed the work in 2 days. Find in how many days can C alone do it?
Answer Choices: (A) 23 days (B) 18 days (C) 20 days (D) 22 days (E) 28 days<|im_end|>
<|im_start|>assistant
<think>
</think>
C
20 days
C = 1/... | 93,824 |
<|im_start|>user
A pump can fill a tank with water in 8 hours. Because of a leak, it took 9 hours to fill the tank. The leak can drain all the water in ?
Answer Choices: (A) 15hr 10min (B) 16hr 20min (C) 17hr 30min (D) 72hr (E) 14hr 25min<|im_end|>
<|im_start|>assistant
<think>
</think>
Work done by the leak in 1 hou... | 53,702 |
<|im_start|>user
If t and y are both odd prime numbers and t < y, how many distinct positive integer factors does 2ty have?
Answer Choices: (A) 3 (B) 4 (C) 6 (D) 8 (E) 12<|im_end|>
<|im_start|>assistant
<think>
</think>
Since 2ty prime factors are t^1*y^1*2^1, its total number or factors must be (1+1)(1+1)(1+1)=2^3=8... | 93,020 |
<|im_start|>user
Find the roots of quadratic equation: 2x^2 + 5x + 2 = 0?
Answer Choices: (A) -2, -1/2 (B) 4, -1 (C) 4, 1 (D) -2, 5/2 (E) 1, 5<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
2x^2 + 4x + x + 2 = 0
2x(x + 2) + 1(x + 2) = 0
(x + 2)(2x + 1) = 0 => x = -2, -1/2
The answer is A<|endoftext|> | 93,245 |
<|im_start|>user
Due to construction, the speed limit along an 9-mile section of highway is reduced from 55 miles per hour to 20 miles per hour. Approximately how many minutes more will it take to travel along this section of highway at the new speed limit than it would have taken at the old speed limit ?
Answer Choice... | 5,552 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
There are four kinds of sentences.
A declarative sentence is a statement, and it always ends with a period.
The nurse told Mr. Abrams to roll up his sleeve so that she could check his blood pressure.
An interrogative sentenc... | 5,978 |
<|im_start|>user
A can do a piece of work in 3days of 8 hours each and B alone can do it in 4 days of 9 hours each.how long will they take it to do working together
7 1/5 hours a day?
Answer Choices: (A) 3 days (B) 2 days (C) 5 days (D) 7 days (E) 4 days<|im_end|>
<|im_start|>assistant
<think>
</think>
A's work per h... | 20,609 |
<|im_start|>user
If the volume of two cubes are in the ratio 27:1, the ratio of their edges is:
Answer Choices: (A) 3:1 (B) 3:2 (C) 3:5 (D) 3:7 (E) 3:4<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Let the edges be a and b of two cubes, then
a3/b3=27/1
=>(a/b)3=(3/1)3
a/b=3/1
=>a:b=3:1
The answer is A... | 28,057 |
<|im_start|>user
in how many ways u can form a group of 11 members from 5 men and 11 women if the men member not more than 3?
Answer Choices: (A) 2256 (B) 2356 (C) 3456 (D) 4456 (E) 1554<|im_end|>
<|im_start|>assistant
<think>
</think>
we need team members=11 such that there should not be more than 3 men
so the condi... | 50,179 |
<|im_start|>user
How many possible alleles do the majority of human genes have?
Answer choice: (A) three or more (B) two or less (C) two or more (D) less than four<|im_end|>
<|im_start|>assistant
<think>
</think>
The majority of human genes have two or more possible alleles. Differences in alleles account for the con... | 11,410 |
<|im_start|>user
In a certain school, the ratio of boys to girls is 5 to 13. If there are 80 more girls than boys, how many boys are there?
Answer Choices: (A) 27 (B) 36 (C) 45 (D) 50 (E) 117<|im_end|>
<|im_start|>assistant
<think>
</think>
The ratio of b to G is 5:13 and the other data point is G are more than boys ... | 23,235 |
<|im_start|>user
Find the value of (1/(2*3))+(1/(3*4))+(1/(4*5))+(1/(5*6))+…..+ ((1/(9*10)).
Answer Choices: (A) 2 (B) 2/5 (C) 3 (D) 3/5 (E) 4/5<|im_end|>
<|im_start|>assistant
<think>
</think>
Given expression=((1/2)-(1/3))+((1/3)-(1/4))+((1/4)-(1/5))+((1/5)-(1/6))+….+ ((1/9)-(1/10))
=((1/2)-(1/10))=4/10 = 2/5.
The ... | 76,549 |
<|im_start|>user
A car covers a distance of 1260 km in 10 hours. Find its speed?
Answer Choices: (A) 104 (B) 277 (C) 298 (D) 126 (E) 213<|im_end|>
<|im_start|>assistant
<think>
</think>
1260/10 = 126 kmph
The answer is D<|endoftext|> | 8,426 |
<|im_start|>user
What process is at work when warm air or water rises, and cool air or water sinks?
Answer choice: (A) evaporation (B) convection (C) radiation (D) moisture<|im_end|>
<|im_start|>assistant
<think>
</think>
Warmer, lighter air is more buoyant than the cooler air above it. So the warm air rises. The coo... | 364 |
<|im_start|>user
A train crosses a platform of 150 m in 15 sec, same train crosses another platform of length 250 m in 20 sec. then find the length of the train?
Answer Choices: (A) 150m (B) 159m (C) 750m (D) 180m (E) 159m<|im_end|>
<|im_start|>assistant
<think>
</think>
Length of the train be ‘X’
X + 150/15 = X + 25... | 80,201 |
<|im_start|>user
Two trains are running in opposite directions with the same speed. If the length of each train is 180 metres and they cross each other in 12 seconds, then the speed of each train (in km/hr) is:
Answer Choices: (A) 31 km/hr. (B) 52 km/hr. (C) 34 km/hr. (D) 54 km/hr. (E) 36 km/hr.<|im_end|>
<|im_start|>a... | 61,153 |
<|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.
Imagine being told that the bus leaves in 7. You might be thinking, 7 what? Does the bus leave in... | 1,104 |
<|im_start|>user
If (A-B-C+D = 13) and (A+B-C-D = 3), what is the value of (B-D)^2?
Answer Choices: (A) 4. (B) 8. (C) 12. (D) 25. (E) 64.<|im_end|>
<|im_start|>assistant
<think>
</think>
EQ1: A - B - C + D = 13
EQ2: A + B - C - D = 3
(1) Subtract EQ1 from EQ2
A - B - C + D = 13
- A +B - C - D = 3
--------------------... | 38,710 |
<|im_start|>user
Present ages of Sameer and Anand are in the ratio of
5 : 4 respectively. Three years hence, the ratio of their ages will become 11 : 9 respectively. What is Anand's present age in years?
Answer Choices: (A) 24 (B) 27 (C) 40 (D) cannot be determined (E) None<|im_end|>
<|im_start|>assistant
<think>
</th... | 93,084 |
<|im_start|>user
The least number which must be subtracted from 909 to make it exactly divisible by 9 is:
Answer Choices: (A) A) 2 (B) B) 3 (C) C) 0 (D) D) 5 (E) E) 6<|im_end|>
<|im_start|>assistant
<think>
</think>
On dividing 909 by 9, we get remainder= 0
Therefore, required number to be subtracted= 0
The answer is... | 59,021 |
<|im_start|>user
Which of the following is the highest fraction?
Answer Choices: (A) 5⁄7 (B) 3⁄4 (C) 2⁄3 (D) 6⁄7 (E) 7⁄8<|im_end|>
<|im_start|>assistant
<think>
</think>
Note : If the difference between the numerator and the denominator is constant, then the fraction which has larger value in the numerator is the lar... | 3,926 |
<|im_start|>user
Difference between the compound interest and the simple interest accrued on an amount of Rs. 18000 in two year is Rs. 405. What was the rate of interest?
Answer Choices: (A) 14% (B) 16% (C) 12.5% (D) 15% (E) 15.5%<|im_end|>
<|im_start|>assistant
<think>
</think>
C.I -S.I =P(R/100)^2
405=18000(R^2/100... | 4,629 |
<|im_start|>user
A person can swim in still water at 4 km/h. If the speed of water 2 km/h, how many hours will the man take to swim back against the current for 6km?
Answer Choices: (A) 3 (B) 4 (C) 5 (D) 8 (E) 2<|im_end|>
<|im_start|>assistant
<think>
</think>
M = 4
S = 2
US = 4 - 2 = 2
D = 6
T = 6/2 = 3
The answer i... | 18,620 |
<|im_start|>user
A jogger running at 9 kmph along side a railway track is 270 metres ahead of the engine of a 120 metre long train running at 45 kmph in the same direction. In how much time will the train pass the jogger?
Answer Choices: (A) 3.6 sec (B) 18 sec (C) 36 sec (D) 39 sec (E) None of these<|im_end|>
<|im_star... | 88,612 |
<|im_start|>user
A thief steals at a car at 2.30 p.m. and drives it at 60 km/hr. The theft is discovered at 3 p.m. and the owner sets off in another car at 75 km/hr. When will he overtake the thief?
Answer Choices: (A) 1 p.m (B) 3 p.m (C) 4 p.m (D) 5 p.m (E) 6 p.m<|im_end|>
<|im_start|>assistant
<think>
</think>
D
5 ... | 32,170 |
<|im_start|>user
What is the difference between the C.I. on Rs. 5000 for 1 1/2 years at 4% per annum compounded yearly and half-yearly?
Answer Choices: (A) Rs.2.04 (B) Rs.2.09 (C) Rs.2.06 (D) Rs.2.22 (E) Rs.2.08<|im_end|>
<|im_start|>assistant
<think>
</think>
C.I. when interest is compounded yearly
= [5000 * (1 + 4/... | 81,390 |
<|im_start|>user
An accurate clock shows 8 o’clock in the morning. Through how many degrees will the hour hand rotate when the clock shows 12 o’clock in the afternoon?
Answer Choices: (A) 120° (B) 90° (C) 180° (D) 320° (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Sol.
Angle traced by the hour ha... | 2,427 |
<|im_start|>user
What type of gas is used to fill glass tubes of lighted signs?
Answer choice: (A) synthetic (B) inert (C) noble (D) natural<|im_end|>
<|im_start|>assistant
<think>
</think>
Noble gases are also used to fill the glass tubes of lighted signs like the one in the Figure below . Although noble gases are c... | 8,434 |
<|im_start|>user
A train 300 m long passed a pole in 22 sec. How long will it take to pass a platform 725 m long?
Answer Choices: (A) 12 sec (B) 59 sec (C) 73 sec (D) 67 sec (E) 76 sec<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = 300/22
= 14 m/sec.
Required time = (300 + 725)/14
= 73 sec.
The answer is C<... | 17,273 |
<|im_start|>user
A car manufacturer produces only red and blue TCS Models which come out of the final testing area at random. What are the odds that five consecutive cars of same color will come through the test area at any one time?
Answer Choices: (A) 1 in 16 (B) 1 in 125 (C) 1 in 32 (D) 1 in 25 (E) 1 in 15<|im_end|>... | 75,799 |
<|im_start|>user
Of the 400 members at a health club, 280 use the weight room and 300 use the pool. If at least 60 of the members do not use either, then the number of members using both the weight room and the pool must be between:
Answer Choices: (A) 200 to 260 (B) 240 to 280 (C) 220 to 260 (D) 220 to 300 (E) 40 to 1... | 43,589 |
<|im_start|>user
12 men working 8 hours per day complete a piece of work in 10 days.To complete the same work in 8 days,working 15 hours a day,the number of men required,is
Answer Choices: (A) 4 (B) 5 (C) 6 (D) 8 (E) 7<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution
Let the required number of men be x.
Less... | 12,923 |
<|im_start|>user
A shopkeeper buys two articles for Rs.1000 each and then sells them, making 20% profit on the first article and 20% loss on second article. Find the net profit or loss percent?
Answer Choices: (A) neither profit nor loss (B) 1% (C) 2% (D) 3% (E) 4%<|im_end|>
<|im_start|>assistant
<think>
</think>
Pro... | 82,893 |
<|im_start|>user
The average amount with a group of seven numbers is Rs. 20. If the newly joined member has Rs. 50 with him, what was the average amount with the group before his joining the group?
Answer Choices: (A) 15 (B) 25 (C) 18 (D) 22 (E) 30<|im_end|>
<|im_start|>assistant
<think>
</think>
Total members in the... | 70,437 |
<|im_start|>user
The length of a rectangle is twice its breadth. If its length is decreased by 5 cm and breadth is increased by 5 cm, the area of the rectangle is increased by 75 sq.cm. What is the length of the rectangle?
Answer Choices: (A) 20cm (B) 40cm (C) 30cm (D) 60cm (E) 50cm<|im_end|>
<|im_start|>assistant
<thi... | 6,211 |
<|im_start|>user
A car takes 6 hours to cover a distance of 270 Km. how much should the speed in Kmph be maintained to cover the same direction in 3/2th of the previous time?
Answer Choices: (A) 30 Kmph (B) 60 Kmph (C) 65 Kmph (D) 70 Kmph (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Time = 6
Distence = 2... | 6,055 |
<|im_start|>user
One paper is equally folded 35 times, then what is the new thickness of the paper ?
Answer Choices: (A) 50 T (B) 2T (C) T x (2 ^90) (D) T x (2 ^20) (E) T x (2 ^50) <|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Let initial thickness of the paper be 'T'
after first fold it will be '2... | 57,130 |
<|im_start|>user
A train 280 m long, running with a speed of 63 km/hr will pass a tree in?
Answer Choices: (A) 22 sec (B) 16 sec (C) 17 sec (D) 88 sec (E) 12 sec<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = 63 * 5/18 = 35/2 m/sec
Time taken = 280 * 2/35 = 16 sec
The answer is B<|endoftext|> | 69,131 |
<|im_start|>user
Q's mother is sister of P and daughter of M. S is daughter of P and sister of T.How is M related to T?
Answer Choices: (A) Grandfather (B) Grandmother (C) Father (D) Either Grandmother or Grandfather (E) Grandf4her<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Q's mother is sister of ... | 79,124 |
<|im_start|>user
If the positive integer x is a multiple of 3 and the positive integer y is a multiple of 3, then xy must be a multiple of which of the following?
I. 3
II. 12
III. 9
Answer Choices: (A) II only (B) I and III only (C) I and II only (D) II and III only (E) I, II, and III<|im_end|>
<|im_start|>assistant
<t... | 27,970 |
<|im_start|>user
A person spends 1/5th of his income on the education of his children, and 20% of the remaining on food. If he is left with Rs.576 find his income?
Answer Choices: (A) 800 (B) 900 (C) 700 (D) 750 (E) 650<|im_end|>
<|im_start|>assistant
<think>
</think>
X * 4/5 * 80/100 = 576
X = 14400/16
X = 900
The a... | 28,679 |
<|im_start|>user
Maxwell leaves his home and walks toward Brad's house at the same time that Brad leaves his home and runs toward Maxwell's house. If the distance between their homes is 50 kilometers, Maxwell's walking speed is 3 km/h, and Brad's running speed is 6 km/h, what is the distance traveled by Brad?
Answer Ch... | 62,743 |
<|im_start|>user
A driver just filled the car's gas tank with 36 liters of gasohol, a mixture consisting of 5% ethanol and 95% gasoline. If the car runs best on a mixture consisting of 10% ethanol and 90% gasoline, how many liters of ethanol must be added into the gas tank for the car to achieve optimum performance?
An... | 57,303 |
<|im_start|>user
If (a – b) is 17 more than (c + d) and (a + b) is 3 less than (c – d), then (a – c) is:
Answer Choices: (A) 6 (B) 2 (C) 3 (D) 7 (E) 5<|im_end|>
<|im_start|>assistant
<think>
</think>
(a – b) – (c + d) = 17 and (c – d) – (a + b) = 3
=> (a – c) – (b + d) = 17 and (c – a) – (b + d) = 3
=> (b + d) = (a –... | 44,352 |
<|im_start|>user
The difference of two numbers is 1515. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder. What is the smaller number ?
Answer Choices: (A) A) 270 (B) B) 280 (C) C) 290 (D) D) 300 (E) E) 310<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the smaller numbe... | 43,425 |
<|im_start|>user
A, B and C can do a piece of work in 24, 30 and 40 days respectively. They start the work together but C leaves 4 days before the completion of the work. In how many days is the work done?
Answer Choices: (A) 14 days (B) 21 days (C) 22 days (D) 11 days (E) 43 days<|im_end|>
<|im_start|>assistant
<think... | 94,154 |
<|im_start|>user
An article is bought for Rs.600 and sold for Rs.900, find the gain percent?
Answer Choices: (A) 50% (B) 63 1/3% (C) 33 1/3% (D) 93 1/3% (E) 33 1/3%<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
600 ---- 300
100 ---- ? => 50%
The answer is A<|endoftext|> | 74,238 |
<|im_start|>user
In a recent election, Geoff received 1 percent of the 6,000 votes cast. To win the election, a candidate needed to receive more than x% of the vote. If Geoff needed exactly 3000 more votes to win the election, what is the value of x ?
Answer Choices: (A) 50 (B) 54 (C) 56 (D) 51 (E) 63<|im_end|>
<|... | 67,545 |
<|im_start|>user
Endotherms are warmed mostly by heat generated by what?
Answer choice: (A) movement (B) metabolism (C) electricity (D) the sun<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is B<|endoftext|> | 6,161 |
<|im_start|>user
The price of 10 chairs is equal to that of 4 tables. The price of 15 chairs and 2 tables together is Rs. 4000. The total price of 12 chairs and 3 tables is:
Answer Choices: (A) 2600 (B) 2700 (C) 2900 (D) 3900 (E) 4000<|im_end|>
<|im_start|>assistant
<think>
</think>
10c=4t
15c+2t=4000
take the cost o... | 28,267 |
<|im_start|>user
Between meals, when the level of blood glucose drops below a certain point, a signal is sent to what organ saying “make more glucose"?
Answer choice: (A) liver (B) pancreas (C) kidney (D) brain<|im_end|>
<|im_start|>assistant
<think>
</think>
Shortly after eating, there is a surplus of glucose in the... | 10,952 |
<|im_start|>user
3, 5, 7, 11, 13, 17, 19, ____
Answer Choices: (A) 25 (B) 36 (C) 23 (D) 49 (E) 27<|im_end|>
<|im_start|>assistant
<think>
</think>
The sequence is a series of prime numbers, 3, 5, 7, 11, 13, 17, 19, 23....
The answer is C<|endoftext|> | 31,574 |
<|im_start|>user
A, B and C started a shop by investing Rs. 5,000, Rs. 15,000 and Rs. 30,000 respectively. At the end of the year, the profits were distributed among them. If C’s share of profit be Rs. 3000, then the total profit was :
Answer Choices: (A) 30,000 (B) 5,000 (C) 80,000 (D) 120,000 (E) None<|im_end|>
<|i... | 47,604 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
All living things are made up of cells. Plants, animals, and some fungi have many cells. Other living things are made up of just one cell.
All living things need food and water. Water helps living things break down food and ... | 2,653 |
<|im_start|>user
A sum of Rs.1550 was lent partly at 8% p.a. simple interest. The total interest received after 3 years was Rs.300. The ratio of the money lent at 5% to that lent at 8% is :
Answer Choices: (A) 16:18 (B) 16:10 (C) 16:15 (D) 16:11 (E) 16:12<|im_end|>
<|im_start|>assistant
<think>
</think>
let the sum l... | 10,619 |
<|im_start|>user
In how many ways can the letters of the word MECHANIC be arranged?
Answer Choices: (A) 2580 (B) 2500 (C) 20160 (D) 2520 (E) 3420<|im_end|>
<|im_start|>assistant
<think>
</think>
MECHANIC has 8 words, but C is repeated two times. Thus ways = 8! / 2! = 20160 ways
C
The answer is C<|endoftext|> | 72,659 |
<|im_start|>user
Electrons always result in what?
Answer choice: (A) A HYPER-PIGMENTATION THAT IS LARGER THAN THE PARENT ATOM (B) an contraposition that is larger than the parent atom (C) an anion that is larger than the parent atom (D) an dissociative that is larger than the parent atom<|im_end|>
<|im_start|>assistant... | 975 |
<|im_start|>user
The difference between C.I. and S.I. on an amount of $20,000 for 2 years is $72. What is the rate of interest per annum?
Answer Choices: (A) 5% (B) 6% (C) 7% (D) 8% (E) 9%<|im_end|>
<|im_start|>assistant
<think>
</think>
$72 is the interest on the first year of interest.
Let x be the interest rate.
T... | 26,180 |
<|im_start|>user
The sum of the squares of the first 15 positive integers (1^2 + 2^2 + 3^2 + . . . + 15^2) is equal to 1260. What is the sum of the squares of the second 15 positive integers (16^2 + 17^2 + 18^2 + . . . + 30^2) ?
Answer Choices: (A) 2480 (B) 3490 (C) 6785 (D) 8235 (E) 9255<|im_end|>
<|im_start|>ass... | 26,193 |
<|im_start|>user
At what rate percent on simple interest will Rs.1800 amount to Rs.2000 in 5 years?
Answer Choices: (A) 4 % (B) 3 6/7 % (C) 2 6/7 % (D) 3.47% (E) 6 %<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
250 = (1800x5xR)/100
R = 3.47%
The answer is D<|endoftext|> | 94,147 |
<|im_start|>user
A watch was sold at a loss of 10%. If it was sold for Rs.140 more, there would have been a gain of 4%. What is the cost price?
Answer Choices: (A) 1000 (B) 2996 (C) 2686 (D) 1028 (E) 1013<|im_end|>
<|im_start|>assistant
<think>
</think>
90%
104%
--------
14% ---- 140
100% ---- ? => Rs.1000
The answer... | 17,590 |
<|im_start|>user
Maddie has 24 apples, if she give 12 to mike, how many does she have left?
Answer Choices: (A) 12 (B) 14 (C) 16 (D) 18 (E) 5<|im_end|>
<|im_start|>assistant
<think>
</think>
24-12=12
A 12
The answer is A<|endoftext|> | 694 |
<|im_start|>user
In the rectangular coordinate system, if the line x = 5y + 5 passes through points (m,n) and (m + 2,n + p), what is the value of p?
Answer Choices: (A) 1/2 (B) 2/3 (C) 1/4 (D) 2/5 (E) 3/7<|im_end|>
<|im_start|>assistant
<think>
</think>
x = 5y+5, and thus y = x/5 - 1
The slope is 1/5.
The slope of a ... | 80,289 |
<|im_start|>user
The profit earned by selling an article for Rs. 832 is equal to the loss incurred when the same article is sold for Rs. 448. What should be the sale price for making 30% profit?
Answer Choices: (A) 277 (B) 960 (C) 277 (D) 832 (E) 121<|im_end|>
<|im_start|>assistant
<think>
</think>
Let C.P. = Rs. x.
... | 68,348 |
<|im_start|>user
Jerry received a 10% raise each month for two consecutive months. What was his starting salary if after the two raises his salary is $1452?
Answer Choices: (A) $1,200 (B) $1,300 (C) $1,331 (D) $1,380 (E) $1,403<|im_end|>
<|im_start|>assistant
<think>
</think>
S * 1.1 * 1.1 = 1452 so,
S = 1200
The ans... | 11,982 |
<|im_start|>user
Two persons A and B can complete a piece of work in 30 days and 45 days respectively. If they work together, what part of the work will be completed in 3 days?
Answer Choices: (A) 2/5 (B) 1/6 (C) 1/4 (D) 1/9 (E) 2/6<|im_end|>
<|im_start|>assistant
<think>
</think>
B
1/6
A's one day's work = 1/30
B's ... | 86,048 |
<|im_start|>user
There are 99 birds on the roof.
suddenly all birds fly away.
some birds fly to east.
birds fly to west is twice of that of east.
birds fly to north is twice of that of west.
Birds flies to south is same as in north.
Find the no. of birds fly in all diections.
Answer Choices: (A) 99 (B) 89 (C) 79 (D) 84... | 12,628 |
<|im_start|>user
The least number of complete years in which a sum of money put out at 20% compound interest will be more than doubled is:
Answer Choices: (A) 3 (B) 4 (C) 5 (D) 6 (E) 7<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
P(1+20/100)n>2P =>(6/5)n>2.
Now,(6/5x6/5x6/5x6/5)>2.
So, n=4years.
The ... | 5,247 |
<|im_start|>user
If 20 shirts can be purchased for 5 dollars, how many shirts can be purchased for 10 dollars?
Answer Choices: (A) 10 (B) 30 (C) 60 (D) 40 (E) 20<|im_end|>
<|im_start|>assistant
<think>
</think>
200/5=40
The answer is D<|endoftext|> | 6,617 |
<|im_start|>user
In what time will a railway train 120 m long moving at the rate of 70 kmph pass a telegraph post on its way?
Answer Choices: (A) 3 sec (B) 4 sec (C) 5 sec (D) 6 sec (E) 7 sec<|im_end|>
<|im_start|>assistant
<think>
</think>
T = 120/70 * 18/5 = 6 sec
The answer is D<|endoftext|> | 53,030 |
<|im_start|>user
When y is divided by 276, the remainder is 44. What is the remainder when the same y is divided by 23?
Answer Choices: (A) 19 (B) 20 (C) 21 (D) 22 (E) 23<|im_end|>
<|im_start|>assistant
<think>
</think>
y = 276*a + 44 = (23*12)*a + 23 + 21
The answer is C<|endoftext|> | 13,214 |
<|im_start|>user
It is known that no more than 100 children will be attending a birthday. What is the smallest number of toffees that must be brought to the party so that each child receives the same number of toffees?
Answer Choices: (A) 15 (B) 320 (C) 400 (D) 150 (E) 36<|im_end|>
<|im_start|>assistant
<think>
</thin... | 44,715 |
<|im_start|>user
What is the next number in the series?
2,4,7,10,15,18,....
Answer Choices: (A) 23 (B) 24 (C) 25 (D) 26 (E) 27<|im_end|>
<|im_start|>assistant
<think>
</think>
Adding (0,1,2,3,4,5,6,7) to the prime numbers.
2+0=2
3+1=4
5+2=7
7+3=10
11+4=15
13+5=18
17+6=23
The answer is A<|endoftext|> | 91,439 |
<|im_start|>user
3 candidates in an election and received 2136, 7636 and 11628 votes respectively. What % of the total votes did the winningcandidate got in that election?
Answer Choices: (A) 45% (B) 49% (C) 54% (D) 59% (E) 61%<|im_end|>
<|im_start|>assistant
<think>
</think>
Total number of votes polled = (2136 + 76... | 84,351 |
<|im_start|>user
An electric pump can fill a tank in 10 hours. Because of a leak in the tank, it took 20 hours to fill the tank. If the tank is full, how much time will the leak take to empty it?
Answer Choices: (A) 10hours (B) 12hours (C) 20hours (D) 5hours (E) 15hours<|im_end|>
<|im_start|>assistant
<think>
</think>... | 66,777 |
<|im_start|>user
A, B and C are partners in a business. Their capitals are respectively, Rs.5000, Rs.6000 and Rs.4000. A gets 30% of the total profit for managing the business. The remaining profit is divided among three in the ratio of their capitals. In the end of the year, the profit of A is Rs.200 more than the sum... | 10,028 |
<|im_start|>user
Photosynthesis changes light energy to what type of energy?
Answer choice: (A) chemical (B) radiation (C) potential (D) solar<|im_end|>
<|im_start|>assistant
<think>
</think>
Photosynthesis changes light energy to chemical energy. The chemical energy is stored in the bonds of glucose molecules. Gluco... | 4,094 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Guide words appear on each page of a dictionary. They tell you the first word and last word on the page. The other words on the page come between the guide words in alphabetical order.
To put words in alphabetical order, put... | 1,866 |
<|im_start|>user
On a ranch, a rancher can place a loop of rope, called a lasso, once in every 2 throws around a cow’s neck. What is the probability that the rancher will be able to place a lasso around a cow’s neck at least once in 6 attempts?
Answer Choices: (A) 3/4 (B) 7/8 (C) 15/16 (D) 31/32 (E) 63/64<|im_end|>
<|i... | 21,544 |
<|im_start|>user
The cost price of a Rs. 100 stock at 4 discount, when brokerage is 1/5% is
Answer Choices: (A) 96.0 (B) 96.5 (C) 96.2 (D) 96.8 (E) 96.6<|im_end|>
<|im_start|>assistant
<think>
</think>
Cost Price = 100−4+1/5=96.2
The answer is C<|endoftext|> | 31,236 |
<|im_start|>user
A 9-meter long wire is cut into two pieces. If the longer piece is then used to form a perimeter of a square, what is the probability that the area of the square will be more than 4 if the original wire was cut at an arbitrary point?
Answer Choices: (A) 1/5 (B) 2/7 (C) 2/9 (D) 3/10 (E) 4/11<|im_end|>
<... | 82,594 |
<|im_start|>user
38, 52, 22,79, 31,47, 13, 82
Which of the following numbers is greater than three-fourth of the numbers but less than one-fourth of the numbers in the list above?
Answer Choices: (A) a- 56 (B) b- 65.5 (C) c- 69 (D) d- 71 (E) e- 73<|im_end|>
<|im_start|>assistant
<think>
</think>
Important:- Arrange t... | 1,880 |
<|im_start|>user
Oversecretion of insulin can cause what?
Answer choice: (A) hyperglycemia (B) inflammation (C) hypoxia (D) hypoglycemia<|im_end|>
<|im_start|>assistant
<think>
</think>
This animation (http://openstaxcollege. org/l/insulin) describe the role of insulin and the pancreas in diabetes. Impaired insulin f... | 6,911 |
<|im_start|>user
The ocean is the largest marine biome. it is a continuous body of salt water that is relatively uniform in chemical composition; it is a weak solution of mineral salts and decayed what?
Answer choice: (A) uranium atoms (B) rock shards (C) metal ores (D) biological matter<|im_end|>
<|im_start|>assistant... | 11,456 |
<|im_start|>user
In how many ways Chief Minister and Minister be elected from a team of 12 members?
Answer Choices: (A) 128 (B) 134 (C) 132 (D) 167 (E) 169<|im_end|>
<|im_start|>assistant
<think>
</think>
To do this, if captain is elected first, then we have 12 ways of doing this.
For election of vice-captain, we hav... | 53,953 |
<|im_start|>user
If a = (3)b and c = 5b, then which of the following represents the average (arithmetic mean) of a, b, and c, in terms of b ?
Answer Choices: (A) b/3 (B) b/4 (C) 2b (D) 3b (E) 5b<|im_end|>
<|im_start|>assistant
<think>
</think>
a = (3)b and c =5b.
The mean = (a + b + c)/3 = (3b + b + 5b)/3 = 3b.
The a... | 43,642 |
<|im_start|>user
The age of father 10 years ago was thrice the age of his son. Ten years hence, father's age will be twice that of his son. What is the ratio of their present ages?
Answer Choices: (A) 7:3 (B) 3:7 (C) 4:8 (D) 8:4 (E) 2:3<|im_end|>
<|im_start|>assistant
<think>
</think>
Let age of the son before 10 yea... | 81,362 |
<|im_start|>user
What number continues the sequence?
25, 50, 27, 46, 31, 38, 39, ?
Answer Choices: (A) 11 (B) 33 (C) 52 (D) 22 (E) 66<|im_end|>
<|im_start|>assistant
<think>
</think>
D
22
There are two alternate sequences, the first increases by 2, 4, 8 etc and the second decreases by 4, 8, 16 etc.
The answer is D<|e... | 41,631 |
<|im_start|>user
9 men can do a work in 12 days working 4 hours a day. In how many days can 6 men do the same work, working 8 hours a day?
Answer Choices: (A) 18 (B) 9 (C) 10 (D) 8 (E) 11<|im_end|>
<|im_start|>assistant
<think>
</think>
We have, M1D1H1 = M2D2H2
So, 9*12*4= 6*D2*8
D2 = 9*12*4/6*8 = 9
The answer is B<|... | 67,820 |
<|im_start|>user
An accurate clock shows 5 o'clock in the morning. Through how may degrees will the hour hand rotate when the clock shows 11 o'clock in the morning?
Answer Choices: (A) 140º (B) 160º (C) 180º (D) 200º (E) 210º<|im_end|>
<|im_start|>assistant
<think>
</think>
Angle traced by the hour hand in 6=(360x12)... | 1,145 |
<|im_start|>user
A sum of Rs. 12500 amounts to Rs. 17000 in 4 years at the rate of simple interest. What is the rate of interest?
Answer Choices: (A) 9% (B) 5% (C) 6% (D) 8% (E) 14%<|im_end|>
<|im_start|>assistant
<think>
</think>
S.I. = (17000 - 12500) = Rs. 4500/-
Rate = (100 * 4500) / (12500 * 4) = 9%
The answer i... | 84,627 |
<|im_start|>user
A baker sold all of his donuts for a total amount of 216 pounds. If on each donut the baker made a profit of 8% of the cost, how much did it cost the baker to make all the donuts?
Answer Choices: (A) 210. (B) 200. (C) 190. (D) 180. (E) 170.<|im_end|>
<|im_start|>assistant
<think>
</think>
THE CORRECT... | 10,651 |
<|im_start|>user
Two trains of length 120 m and 210 m are 80 m apart. They start moving towards each other on parallel tracks, at speeds 69 kmph and 82 kmph. After how much time will the trains meet?
Answer Choices: (A) 15/10 (B) 19/10 (C) 20/19 (D) 16/10 (E) 27/10<|im_end|>
<|im_start|>assistant
<think>
</think>
The... | 29,431 |
<|im_start|>user
The ability to regulate what, which is possessed by mammals, was an advantage as earth’s climate went through sudden and dramatic changes?
Answer choice: (A) mutations (B) reflex behaviors (C) body temperature (D) hair growth<|im_end|>
<|im_start|>assistant
<think>
</think>
Mammals have the ability t... | 296 |
<|im_start|>user
A can contains a mixture of liquids A and B is the ratio 7:5. When 12 litres of mixture are drawn off and the can is filled with B, the ratio of A and B becomes 7:9. How many liter of liquid A was contained by the can initially?
Answer Choices: (A) 25 (B) 27 (C) 29 (D) 28 (E) 31<|im_end|>
<|im_start|>a... | 91,083 |
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