text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
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<|im_start|>user
In how many ways can the letters of the word 'APPLE' be arranged ?
Answer Choices: (A) 90 (B) 180 (C) 120 (D) 60 (E) 720<|im_end|>
<|im_start|>assistant
<think>
</think>
The word 'APPLE' contains 5 letters, 1A, 2P, 1L.and 1E.
∴ Required number of ways = 5!/(1!)(2!)(1!)(1!) = 60.
The answer is D<|endo... | 56,320 |
<|im_start|>user
What type of logic can lead to important conclusions from the collecting and analyzing of observations?
Answer choice: (A) gravitational reasoning (B) inductive reasoning (C) primitive reasoning (D) conductive reasoning<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is B<|endoftext|> | 9,156 |
<|im_start|>user
A river 2m deep and 45 m wide is flowing at the rate of 3 kmph the amount of water that runs into the sea per minute is?
Answer Choices: (A) 4500 M3 (B) 4580 M3 (C) I8500 M3 (D) 4900 M3 (E) 4700 M3<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
(3000 * 2 * 5)/60 = 4500 M3
The answer is... | 22,038 |
<|im_start|>user
a and b are two bus stations 400 km apart. if two separate buses depart from both stations and travel towards each other, at what time do they meet each other given that the first bus left at 8 am and travels at a speed of 70 km/hr while the second bus left at 9 am and travels at a speed of 40 km/hr.
A... | 34,468 |
<|im_start|>user
To furnish a room in a model home an interior decorator is to select 2 chairs and 2 tables from the collection of chairs and tables in a warehouse that are all different from each other. If there are 5 chairs in the warehouse and if 150 different combinations are possible, how many tables are there in ... | 6,722 |
<|im_start|>user
Raman,Lakshmi and Muthu enter into partnership. Raman invests some money at the beginning, Lakshmi invests double the amount after 6 months, and Muthu invests thrice the amount after 8 months. If the annual gain be Rs.36000. Lakshmi's share is?
Answer Choices: (A) 12000 (B) 14000 (C) 8000 (D) 5000 (E) ... | 50,275 |
<|im_start|>user
A man's speed with the current is 30km/hr and the speed of the current is 5 km/hr. The man's speed against the current is
Answer Choices: (A) 10 km/hr (B) 20 km/hr (C) 25 km/hr (D) 30 km/hr (E) 35 km/hr<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Speed of man with the current = 30 k... | 14,713 |
<|im_start|>user
The sum and the product of two numbers are 25 and 144 respectively, the difference of the number is?
Answer Choices: (A) 3 (B) 5 (C) 7 (D) 11 (E) 13<|im_end|>
<|im_start|>assistant
<think>
</think>
x + y = 25
xy = 144
(x- y)2 = (x + y)2 – 4xy
(x- y)2 = 625 – 576 => (x – y) = 7
The answer is C<|endoft... | 24,685 |
<|im_start|>user
A man is 24 years older than his son. In three years, his age will be twice the age of his son. The present age of the son is
Answer Choices: (A) 14 years (B) 18 years (C) 20 years (D) 21 years (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution
Let the son's present age be x years .Th... | 75,942 |
<|im_start|>user
A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is?
Answer Choices: (A) 33 (B) 50 (C) 88 (D) 26 (E) 23<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed of the train relative to man = (125/10) m/sec = (2... | 57,986 |
<|im_start|>user
Because microorganisms can go through several generations in a matter of hours, their gene expression profiles adapt to the new laboratory environment very quickly. in addition, the vast majority of bacterial species resist being cultured in this?
Answer choice: (A) water (B) isolation (C) substrate (D... | 724 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
A sentence is a group of words that expresses a complete thought.
The band I'm in has been rehearsing daily because we have a concert in two weeks.
A run-on sentence is formed when two sentences are run together, joined by j... | 23 |
<|im_start|>user
At 1:00, Annie starts to bicycle along a 45 mile road at a constant speed of 14 miles per hour. Thirty minutes earlier, Scott started bicycling towards Annie on the same road at a constant speed of 12 miles per hour. At what time will they meet?
Answer Choices: (A) 2:00 (B) 2:30 (C) 3:00 (D) 3:30 (E) 4... | 16,665 |
<|im_start|>user
Which of the following is a parallelogram?
Answer Choices: (A) 115,65,115,65(angle in deg) (B) 120,30,130,20(angle in deg) (C) 80,80,80,80(angle in deg) (D) a & c (E) none<|im_end|>
<|im_start|>assistant
<think>
</think>
sum of adjacent angles is 180 degrees.
The answer is A<|endoftext|> | 59,695 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Overall supply is the total amount of a good or service that producers make and sell. There are several things that can make overall supply go up or down. The table below shows how changes to these things might affect overal... | 5,088 |
<|im_start|>user
For 2consecutive yrs, my incomes are in the ratio of 4:7 and expenses in the ratio of 3:5. If my income in the 2nd yr is Rs. 42000 & my expenses in the first yr in Rs.21000, my total savings for the two-year is
Answer Choices: (A) Rs. 7000 (B) Rs. 8000 (C) Rs. 9000 (D) Rs. 9900 (E) Rs. 10000<|im_end|>
... | 78,335 |
<|im_start|>user
The length of a rectangular plot is thrice its breadth. If the area of the rectangular plot is 867 sq m, then what is the breadth of the rectangular plot?
Answer Choices: (A) 66 m (B) 17 m (C) 87 m (D) 65 m (E) 43 m<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the breadth of the plot be b m.
... | 87,736 |
<|im_start|>user
If 1st October is Sunday, then 1st November will be
Answer Choices: (A) Saturday (B) Thursday (C) Wednesday (D) Tuesday (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
Given that 1st October is Sunday
Number of days in October = 31
31 days = 3 odd days
(As we can redu... | 41,492 |
<|im_start|>user
If the speed of X meters per second is equivalent to the speed of Y kilometers per minute, what is Y in terms of X? (1 kilometer=1000 meters)
Answer Choices: (A) 0.06x (B) 6x/5 (C) 18x/5 (D) 60x (E) 3600000x<|im_end|>
<|im_start|>assistant
<think>
</think>
x=1000y/60
y = 0.06x
The answer is A<|endoft... | 78,051 |
<|im_start|>user
Express of the following as a fraction:
45%
Answer Choices: (A) 14/25 (B) 9/20 (C) 9/40 (D) 9/19 (E) None of them<|im_end|>
<|im_start|>assistant
<think>
</think>
45% = 45/100= 9/20.
The answer is B<|endoftext|> | 90,175 |
<|im_start|>user
In the floor of a particular kitchen owned by an abstract artist, each row of tiles to the right of the first row contains two fewer tiles than the row directly to its left. If there are nine rows in all and a total of 270 tiles in the floor, how many tiles does the leftmost row contain?
Answer Choices... | 24,372 |
<|im_start|>user
Any unused energy in food, whether it comes from carbohydrates, proteins, or lipids, is stored in the body where?
Answer choice: (A) kidneys (B) fat (C) spleen (D) bones<|im_end|>
<|im_start|>assistant
<think>
</think>
Any unused energy in food, whether it comes from carbohydrates, proteins, or lipid... | 7,440 |
<|im_start|>user
How long will it take a sum of money invested at 20% p.a. S.I. to increase double the value?
Answer Choices: (A) 12 years. (B) 8 years. (C) 15 years. (D) 13 years. (E) 10 years.<|im_end|>
<|im_start|>assistant
<think>
</think>
Sol.
Let the sum be x. Then, S.I. = 200% of x = 2x; Rate =20%.
∴ Time = ... | 11,909 |
<|im_start|>user
A car averages 30 miles per hour for the first 5 hours of a trip and averages 42 miles per hour for each additional hour of travel time. If the average speed for the entire trip is 38 miles per hour, how many hours long is the trip?
Answer Choices: (A) 13 (B) 14 (C) 15 (D) 16 (E) 17<|im_end|>
<|im_star... | 10,669 |
<|im_start|>user
The number of new words that can be formed by rearranging the letters of the word 'ALIVE' is?
Answer Choices: (A) 186 (B) 278 (C) 119 (D) 278 (E) 272<|im_end|>
<|im_start|>assistant
<think>
</think>
Number of words which can be formed
= 5! - 1 = 120 - 1
= 119.
The answer is C<|endoftext|> | 71,205 |
<|im_start|>user
Which of the following triples of numbers have the same standard deviation as the numbers p, q, and r?
I. p-2, q-2, r-2
II. 0, p-q, r-q
III. p-4, q+5, r-1
Answer Choices: (A) I only (B) II only (C) I and III only (D) II and I only (E) I, II, and III<|im_end|>
<|im_start|>assistant
<think>
</think>
If... | 30,620 |
<|im_start|>user
38, 69, 22,73, 31,47, 90, 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- 68 (C) c- 69 (D) d- 71 (E) e- 77.5<|im_end|>
<|im_start|>assistant
<think>
</think>
Important:- Arrange t... | 56,877 |
<|im_start|>user
The distance between two cities A and B is 330 Km. A train starts from A at 8 a.m. and travel towards B at 60 km/hr. Another train starts from B at 9 a.m and travels towards A at 75 Km/hr. At what time do they meet?
Answer Choices: (A) 10 am (B) 11 am (C) 12 pm (D) 1 pm (E) 2 pm<|im_end|>
<|im_start|>a... | 72,530 |
<|im_start|>user
A student chose a number, multiplied it by 2, then subtracted 140 from the result and got 102. What was the number he chose?
Answer Choices: (A) 90 (B) 100 (C) 120 (D) 160 (E) 121<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution:
Let x be the number he chose, then
2*x*140=102
2x=242
x=121
Th... | 52,334 |
<|im_start|>user
At a certain college, 80 percent of the total number of students are freshmen. If 60 percent of the fresh-men are enrolled in the school of liberal arts and, of these, 50 percent are psychology majors, what percent of the students at the college are freshmen psychology majors enrolled in the school of ... | 84,810 |
<|im_start|>user
Maxwell leaves his home and walks toward Brad's house. One hour later, Brad leaves his home and runs toward Maxwell's house. If the distance between their homes is 14 kilometers, Maxwell's walking speed is 4 km/h, and Brad's running speed is 6 km/h. What is the total time it takes Maxwell before he mee... | 16,245 |
<|im_start|>user
In a given set of X = {70,55,98,45,62} what is the difference of median and mean of the set X?
Answer Choices: (A) 25 (B) 30 (C) 32 (D) 40 (E) 45<|im_end|>
<|im_start|>assistant
<think>
</think>
mean = 70+55+98+45+62 / 5 = 330/5 = 66
Median = 98
Difference = 98-66 = 32
The answer is C<|endoftext|> | 20,920 |
<|im_start|>user
The positive integers y and z leave remainders of 2 and 3, respectively, when divided by 6. y > z. What is the remainder when y– z is divided by 6?
Answer Choices: (A) 1 (B) 2 (C) 5 (D) 3 (E) 4<|im_end|>
<|im_start|>assistant
<think>
</think>
Let's test out some values of p and q that satisfy the giv... | 76,316 |
<|im_start|>user
Two employees X and Y are paid a total of Rs. 550 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week?
Answer Choices: (A) Rs.250 (B) Rs.300 (C) Rs.350 (D) Rs.400 (E) Rs.450<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the amount paid to X pe... | 56,315 |
<|im_start|>user
A can complete the job in 6 hours and B can complete the same job in 3 hours. A works for 1 hour and then B joins and both complete the job. What fraction of the job did B complete
Answer Choices: (A) 1/9 (B) 3/10 (C) 1/2 (D) 5/6 (E) 8/9<|im_end|>
<|im_start|>assistant
<think>
</think>
A=1/9
The answ... | 91,523 |
<|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... | 3,356 |
<|im_start|>user
The average of 9 observations was 9, that of the 1st of 5 being 10 and that of the last 5 being 8. What was the 5th observation?
Answer Choices: (A) 9 (B) 11 (C) 13 (D) 15 (E) 16<|im_end|>
<|im_start|>assistant
<think>
</think>
1 to 9 = 9 * 9 = 81
1 to 5 = 5 * 10 = 50
5 to 9 = 5 * 8 = 40
5th = 50 + 4... | 48,435 |
<|im_start|>user
Tough and Tricky questions: Mixture Problems.
A drink holding 6 ounces of an alcoholic drink that is 1 part rum to 2 parts coke is added to a jug holding 38 ounces of an alcoholic drink that is 1 part rum to 3 parts coke. What is the ratio of rum to coke in the resulting mixture?
Answer Choices: (A) 2:... | 80,486 |
<|im_start|>user
In how many different number of ways 5 boys and 2 girls can sit on a bench?
Answer Choices: (A) 5040 (B) 730 (C) 740 (D) 750 (E) 800<|im_end|>
<|im_start|>assistant
<think>
</think>
npn = n!
7p7 = 7 x 6 × 5 × 4 × 3 × 2 × 1 = 5040
A
The answer is A<|endoftext|> | 59,569 |
<|im_start|>user
Ranjani can buy watches at a price of X dollars per watch, which she marks up by a certain percentage before selling. If she makes a total profit of T by selling N watches, then in terms of X and T and N, what is the percent of the markup from her buy price to her sell price?
Answer Choices: (A) 100T-X... | 44,175 |
<|im_start|>user
At a dinner party, 5 people are to be seated around a circular table. 2 seating arrangements are considered different only when the positions of the people are different relative to each other. what is the total number of different possible seating arrangements for the group?
Answer Choices: (A) 5 (B) ... | 95,788 |
<|im_start|>user
On increasing the number of lines in a page by 60, they become 240. What is the % of increase in the no. of lines in the page?
Answer Choices: (A) 33.3% (B) 305 (C) 50% (D) 55% (E) 60%<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation : Number of pages increased = 60
Now , the number of pa... | 75,082 |
<|im_start|>user
Of 70 players on a football team, 52 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) 54 (B) 59 (C) 63 (D) 64 (E) 92<|im_end|>
<|im_... | 66,809 |
<|im_start|>user
Find the value of ( 0.75 * 0.75 * 0.75 - 0.001 ) / ( 0.75 * 0.75 - 0.075 + 0.01)
Answer Choices: (A) 0.845 (B) 1.908 (C) 2.312 (D) 0.001 (E) 0.002<|im_end|>
<|im_start|>assistant
<think>
</think>
(0.75*0.75*0.75-0.001)=0.75^3 -0.1^3
0.75*0.75-0.075+0.01=0.75^2-0.1^2
a^3-b^3=(a+b)(a^2-ab+b^2)
so after... | 1,311 |
<|im_start|>user
If 4 men working 10 hours a day earn Rs. 1600 per week, then 9 men working 6 hours a day will earn how much per week?
Answer Choices: (A) Rs 840 (B) Rs 1320 (C) Rs 1620 (D) Rs 2160 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
(Men 4:9) : (Hrs/Day 10:6) :: 1600 : x
... | 58,025 |
<|im_start|>user
Two trains one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 4 hours and 9 hours respectively. The ratio of their speeds is
Answer Choices: (A) 3 : 2 (B) 4 : 3 (C) 4 : 7 (D) 8 : 5 (E) None<|im_end|>
<|im_start|>... | 96,778 |
<|im_start|>user
The ratio of 2 numbers is 3:4 and their H.C.F. is 4. Their L.C.M. is ?
Answer Choices: (A) 20 (B) 24 (C) 48 (D) 36 (E) 60<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the numbers be 3x and 4x
Their H.C.F. = 4
so the numbers are 3*4 , 4*4 = 12,16
L.C.M. =48
The answer is C<|endoftext|> | 66,020 |
<|im_start|>user
John makes $55 a week from his job. He earns a raise andnow makes $60 a week. What is the % increase?
Answer Choices: (A) 16% (B) 9.66% (C) 9.09% (D) 9.98% (E) 17%<|im_end|>
<|im_start|>assistant
<think>
</think>
Increase = (5/55)*100 = (1/11)*100 = 9.09%.
C
The answer is C<|endoftext|> | 79,462 |
<|im_start|>user
In a garden, there are 10 rows and 12 columns of mango trees. The distance between the two trees is 2 metres and a distance of one metre is left from all sides of the boundary of the garden. What is the length of the garden?
Answer Choices: (A) 22 (B) 24 (C) 26 (D) 28 (E) 30<|im_end|>
<|im_start|>assis... | 20,393 |
<|im_start|>user
A student earned a grade of 80% on a math test that had 20 problems. How many problems on this test did the student answer correctly? (round to the nearest whole number)
Answer Choices: (A) 36 problems (B) 53 problems (C) 27 problems (D) 16 problems (E) 18 problems<|im_end|>
<|im_start|>assistant
<thin... | 42,142 |
<|im_start|>user
A plot ABCD is as shown in figure, where AF = 30 m, CE = 40 m, ED = 50 m, AE = 120 m. Find the area of the plot ABCD?
Answer Choices: (A) 1828 sq.m (B) 2767 sq.m (C) 2789 sq.m (D) 7200 sq.m (E) 2651 sq.m<|im_end|>
<|im_start|>assistant
<think>
</think>
Area of plot ABCD = Area of ADE + Area of AFB + ... | 80,446 |
<|im_start|>user
The average weight of 25 boys sitting in a boat had some value. A new person added to them whose weight was 60 kg only. Due to his arrival, the average weight of all the boys decreased by 10 kg. Find the average weight of first 25 boys?
Answer Choices: (A) 302 (B) 203 (C) 320 (D) 260 (E) 192<|im_end|>
... | 2,672 |
<|im_start|>user
In which direction does heat always flow through objects?
Answer choice: (A) from hotter to cooler (B) from low to high (C) from cooler to hotter (D) from left to right<|im_end|>
<|im_start|>assistant
<think>
</think>
The objects are at different temperatures, and heat flows from the hotter to the co... | 11,006 |
<|im_start|>user
Five people are planning to share equally the cost of a rental car. If one person withdraws from the arrangement and the others share equally the entire cost of the car, then the share of each of the remaining persons increased by:
Answer Choices: (A) 7/8 (B) 1/8 (C) 1/4 (D) 1/7 (E) 1/9<|im_end|>
<|im_... | 5,127 |
<|im_start|>user
A 12% stock yielding 10% is quoted at:
Answer Choices: (A) Rs. 83.33 (B) Rs. 110 (C) Rs. 112 (D) Rs. 120 (E) Rs. 130<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the Face value of the stock:Rs.100
Yield=Rs.12
Market value quoted at (12/10)*100=Rs.120
The answer is D<|endoftext|> | 35,202 |
<|im_start|>user
Number N is randomly selected from a set of all primes between 10 and 40, inclusive. Number Z is selected from a set of all multiples of 5 between 10 and 40 inclusive. What is the probability that N+Z is odd?
Answer Choices: (A) 1/2 (B) 2/3 (C) 3/4 (D) 4/7 (E) 5/8<|im_end|>
<|im_start|>assistant
<... | 8,751 |
<|im_start|>user
The average of first five prime numbers greater than 3 is?
Answer Choices: (A) 32.2 (B) 10.6 (C) 32.3 (D) 32.8 (E) 32.4<|im_end|>
<|im_start|>assistant
<think>
</think>
5 + 7 + 11 + 13 + 17
= 53/5
= 10.60
The answer is B<|endoftext|> | 43,669 |
<|im_start|>user
Raj drives slowly along the perimeter of a rectangular park at 24 kmph and completes one full round in 4 min. If the ratio of length to bredth of the park is 3 : 2, what are the dimansions?
Answer Choices: (A) 100 m x 109 m (B) 100 m x 102 m (C) 100 m x 120 m (D) 100 m x 100 m (E) 100 m x 200 m<|im_end... | 47,401 |
<|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.... | 5,825 |
<|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... | 996 |
<|im_start|>user
If 8 Men or 10 Women take 8 days to complete some work, how many days will 10 Men and 6 Women working together take to complete the work?
Can anyone explain please?
Answer Choices: (A) 1. 3/2 days (B) 2. 2 Days (C) 3. 9/4 days (D) 4.5/2 days (E) 5.64/37 days<|im_end|>
<|im_start|>assistant
<think>
</t... | 59,428 |
<|im_start|>user
Excluding stoppages, the speed of a train is 60 kmph and including stoppages it is 40 kmph. Of how many minutes does the train stop per hour?
Answer Choices: (A) 12 (B) 14 (C) 16 (D) 18 (E) 20<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
T = 20/60 * 60 = 20
The answer is E<|endoftext... | 92,442 |
<|im_start|>user
In science, what is defined as a change in position?
Answer choice: (A) gravity (B) motion (C) speed (D) direction<|im_end|>
<|im_start|>assistant
<think>
</think>
In science, motion is defined as a change in position. An object’s position is its location. Besides the wings of the hummingbird in the ... | 2,866 |
<|im_start|>user
Excluding stoppages,the speed of the bus is 54kmph and
including stoppages,it is 27kmph. For how many minutes does the bus stop per hr
Answer Choices: (A) 12 min (B) 11 min (C) 13 min (D) 20 min (E) 30 min<|im_end|>
<|im_start|>assistant
<think>
</think>
Due to stoppages,it covers 27km less.
time tak... | 42,798 |
<|im_start|>user
The name of the cation comes first, followed by the name of the anion, in what kind of compound?
Answer choice: (A) magnetic compound (B) localized compound (C) covalent bonds (D) ionic compound<|im_end|>
<|im_start|>assistant
<think>
</think>
Names of ionic compounds are derived from the names of th... | 7,764 |
<|im_start|>user
The temperatures in degrees Celsius recorded at a certain specific point in the evening in various parts of a country were 10°, 5°, -2°, -1°, -5°, 15°. What is the median of these temperatures?
Answer Choices: (A) -2°C (B) -1°C (C) 2°C (D) 3°C (E) 5°C<|im_end|>
<|im_start|>assistant
<think>
</think>
... | 91,299 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Everything you can buy is either a good or a service.
A good is something you can touch or hold in your hands. For example, a hammer is a good.
A service is a job you pay someone else to do. For example, cooking food in a re... | 1,459 |
<|im_start|>user
Tea worth Rs.126 per kg are mixed with a third variety in the ratio 1: 1 : 2. If the mixture is worth Rs.153 per kg, the price of the third variety per kg will be
Answer Choices: (A) Rs.169.50 (B) Rs.1700 (C) Rs. 175.50 (D) Rs. 180 (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution
Si... | 51,000 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
In a title, capitalize the first word, the last word, and every important word in between.
The Wind in the Willows James and the Giant Peach
These words are not important in titles:
Articles, a, an, the
Short prepositions, s... | 5,048 |
<|im_start|>user
24 buses are running between two places P and Q. In how many ways can a person go from P to Q and return by a different bus?
Answer Choices: (A) 625 (B) 600 (C) 552 (D) 676 (E) 700<|im_end|>
<|im_start|>assistant
<think>
</think>
we can go in any bus out of the 24 buses.
Hence He can go in 24 ways.
S... | 34,396 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
When writing, make sure to avoid vague pronoun references. A vague pronoun reference occurs when a pronoun could refer to more than one possible antecedent.
When Lisa and Kim finally landed, she breathed a sigh of relief.
Th... | 5,701 |
<|im_start|>user
A certain bridge is 4,024 feet long. Approximately how many minutes does it take to cross this bridge at a constant speed of 11 miles per hour? (1 mile = 5,280 feet)
Answer Choices: (A) 1 (B) 2 (C) 4 (D) 6 (E) 7<|im_end|>
<|im_start|>assistant
<think>
</think>
Distance: 4024 feet. This is (4024/... | 31,074 |
<|im_start|>user
A goods train runs at the speed of 72 kmph and crosses a 250 m long platform in 26 seconds. What is the length of the goods train?
Answer Choices: (A) 230 m (B) 270m (C) 643m (D) 832m (E) 270m<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = (72 x 5/18)m/sec = 20 m/sec.
Time = 26 sec.
Let the... | 9,163 |
<|im_start|>user
If 12 men can reap 120 acres of land in 36 days, how many acres of land can 44 men reap in 54 days?
Answer Choices: (A) 820 acres (B) 660 acres (C) 620 acres (D) 720 acres (E) 920 acres<|im_end|>
<|im_start|>assistant
<think>
</think>
12 men 120 acres 36 days
44 men ? 54 days
120 * 44/12 * 54/36
10 *... | 47,732 |
<|im_start|>user
Sonika deposited Rs.8000 which amounted to Rs.9200 after 3 years at simple interest. Had the interest been 2% more. She would get how much?
Answer Choices: (A) 9680 (B) 96288 (C) 26667 (D) 1662 (E) 2882<|im_end|>
<|im_start|>assistant
<think>
</think>
(8000*3*2)/100 = 480
9200
--------
9680
The answe... | 73,131 |
<|im_start|>user
The 30 members of a club decided to play a badminton singles tournament. Every time a member loses a game he is out of the tournament. There are no ties. What is the minimum number of matches that must be played to determine the winner ?
Answer Choices: (A) 22 (B) 29 (C) 88 (D) 28 (E) 11<|im_end|>
<|im... | 23,123 |
<|im_start|>user
The cost of 4 bananas and 4 oranges is $36. The cost of 2 bananas and 5 oranges is $33. What is the cost of 1 orange?
Answer Choices: (A) 2 (B) 5 (C) 4 (D) 6 (E) 5.5<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the cost of 1 banana = x, let the cost of 1 orange = y
4x + 4y = 36
x = (36 - 4y)/... | 10,843 |
<|im_start|>user
A bag marked at $240 is sold for $120. The rate of discount is?
Answer Choices: (A) 10% (B) 25% (C) 20% (D) 50% (E) 45%<|im_end|>
<|im_start|>assistant
<think>
</think>
Rate of discount = 120/240 * 100 = 50%
The answer is D<|endoftext|> | 47,093 |
<|im_start|>user
Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 8 seconds. What is the length of the fast train ?
Answer Choices: (A) 27 7/9 (B) 44 4/9 (C) 29 7/9 (D) 30 7/9 (E) None of these<|im_end|>
<|im_start|>ass... | 65,183 |
<|im_start|>user
In packing for a trip, Sarah puts three pairs of socks - one red, one blue, and one green - into one compartment of her suitcase. If she then pulls four individual socks out of the suitcase, simultaneously and at random, what is the probability that she pulls out exactly two matching pairs?
Answer Choi... | 59,056 |
<|im_start|>user
A person travels equal distances with speeds of 3km/hr, 6km/hr, 9km/hr. and takes a total time of 11minutes. Find the total distance ?
Answer Choices: (A) 1km (B) 500mts (C) 900mts (D) 2km (E) 250mts<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the each distance be x km
total distance = 3x
th... | 93,706 |
<|im_start|>user
There are 20 girls inhostel whose average age is decreased by 2 months, when one girl 18 yrs is replaced by a new boy.Find the age of new girl.
Answer Choices: (A) 1 year (B) 2 years (C) 3 years (D) 4 years (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Total decrease = 20 * 2 = 40 month
=... | 31,106 |
<|im_start|>user
A photo-mat shop charges $0.50 for the first photo inside a film, and 40% cents less for each additional photo. How many photos can we develop with $52.58 if each film contains 36 photos?
Answer Choices: (A) 4 films and 12 photos (B) 5 films and 6 photos (C) 5 films and 14 photos (D) 6 films and 4 phot... | 51,693 |
<|im_start|>user
A bag contains 12 white and 18 black balls. Two balls are drawn in succession without replacement. What is the probability that first is white and second is black?
Answer Choices: (A) 20/145 (B) 18/145 (C) 35/120 (D) 36/145 (E) 40/145<|im_end|>
<|im_start|>assistant
<think>
</think>
The probability t... | 24,901 |
<|im_start|>user
If Hema walks at 12 km/hr instead of 8 km/hr, she would have walked 20 km more. The actual distance travelled by Hema is ?
Answer Choices: (A) 40 kms (B) 70 kms (C) 80 kms (D) 50 kms (E) 10 kms<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Let the actual distance travelled be x km.
Th... | 51,302 |
<|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... | 6,194 |
<|im_start|>user
By the how much is two-fifth of 200 greater than three -fifths of 125?
Answer Choices: (A) 15 (B) 3 (C) 5 (D) 30 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Reqd no. = 2⁄5 × 200 - 3⁄5 × 125
= 80 - 75 = 5
The answer is C<|endoftext|> | 3,454 |
<|im_start|>user
If x^2=x+3, then x^3=?
Answer Choices: (A) 3x+2 (B) 3x-2 (C) 4x+3 (D) 2x-3 (E) 3x+4<|im_end|>
<|im_start|>assistant
<think>
</think>
Given X^2 = X+3
X^3 = X*X^2 = x*(X+3)-- Substituted from above.
= X^2 + 3X = X+3+3X = 4X+3.
Hence C.
The answer is C<|endoftext|> | 62,904 |
<|im_start|>user
John tossed a fair coin 4 times. What is the probability that the coin landed heads up exactly twice?
Answer Choices: (A) 0.15 (B) 0.25 (C) 0.3 (D) 0.35 (E) 0.4<|im_end|>
<|im_start|>assistant
<think>
</think>
The probability is exactly same as the cion landed tail up once. That is 4*(1/2)^4 = 4/16 =... | 20,366 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
The atmosphere is the layer of air that surrounds Earth. Both weather and climate tell you about the atmosphere.
Weather is what the atmosphere is like at a certain place and time. Weather can change quickly. For example, th... | 1,912 |
<|im_start|>user
In eukaryotic cells, where is the dna kept?
Answer choice: (A) mitochondria (B) nucleus (C) epidermis (D) cytoplasm<|im_end|>
<|im_start|>assistant
<think>
</think>
In eukaryotic cells, the DNA is kept in the nucleus. The nucleus is surrounded by a double membrane called the nuclear envelope. Within ... | 7,234 |
<|im_start|>user
Joe bought a lawnmower for a 40% off the original price. If the lawnmower cost him $132.48, what is the original selling price of the lawnmower?
Answer Choices: (A) $185.47 (B) $331.20 (C) $211.97 (D) $220.80 (E) None of these.<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
CP of Joe i... | 6,060 |
<|im_start|>user
A towel, when bleached, lost 20% of its length and 20% of its breadth. What is the percentage decrease in area?
Answer Choices: (A) 24% (B) 36 % (C) 32% (D) 54% (E) 64%<|im_end|>
<|im_start|>assistant
<think>
</think>
percentage change in area
=(−20−20+(20×20)/100)%=−36%
i.e., area is decreased by 36... | 90,153 |
<|im_start|>user
A and B are running around a circular track of length 120 meters with speeds 12 m/s and 6 m/s in the same direction. When will they meet for the first time?
Answer Choices: (A) A meets C (B) A meets B (C) A meets D (D) A meets A (E) A meets G<|im_end|>
<|im_start|>assistant
<think>
</think>
A meets B... | 56,383 |
<|im_start|>user
In Township K each property is taxed at 10 percent of its assessed value. If the assessed value of a property in Township K is increased from $20,000 to $24,000, by how much will the property tax increase?
Answer Choices: (A) $32 (B) $50 (C) $320 (D) $400 (E) $500<|im_end|>
<|im_start|>assistant
<... | 16,111 |
<|im_start|>user
Two trains are moving in the same direction at 72 kmph and 36 kmph. The faster train crosses a man in the slower train in 25 seconds. Find the length of the faster train?
Answer Choices: (A) 270 (B) 250 (C) 187 (D) 257 (E) 271<|im_end|>
<|im_start|>assistant
<think>
</think>
Relative speed = (72 - 36... | 66,289 |
<|im_start|>user
A train passes a station platform in 34 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) 248 m (B) 210 m (C) 277 m (D) 765 m (E) 176 m<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = (54 *... | 52,202 |
<|im_start|>user
If S is the sum of the reciprocals of the consecutive integers from 91 to 100, inclusive, which of the following is less than S?
I. 1/8
II. 1/10
III. 1/9
Answer Choices: (A) None (B) I only (C) III only (D) II only (E) I, II, and III<|im_end|>
<|im_start|>assistant
<think>
</think>
Since we summarize... | 84,574 |
<|im_start|>user
The radius of the two circular fields is in the ratio 3: 5 the area of the first field is what percent less than the area of the second?
Answer Choices: (A) 24% (B) 74% (C) 69% (D) 64% (E) 54%<|im_end|>
<|im_start|>assistant
<think>
</think>
r = 3 πr2 = 9
r = 5 πr2 = 25
25 π – 16 π
100 ---- ? => 64%
... | 73,874 |
<|im_start|>user
A person travels from P to Q a speed of 40 km/hr and returns by increasing his speed by 50%. What is his average speed for both the trips?
Answer Choices: (A) 48 km/hr (B) 40 km/hr (C) 44 km/hr (D) 38 km/hr (E) 52 km/hr<|im_end|>
<|im_start|>assistant
<think>
</think>
A
48 km/hr
Speed on return trip ... | 68,315 |
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