text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
|---|---|
<|im_start|>user
The average salary of all the workers in a workshop is Rs. 8000. The average salary of 7 technicians is Rs. 10000 and the average salary of the rest is Rs. 6000. The total number of workers in the workshop is:
Answer Choices: (A) 23 (B) 19 (C) 22 (D) 20 (E) 14<|im_end|>
<|im_start|>assistant
<think>
<... | 64,298 |
<|im_start|>user
Monica planned her birthday party. She prepared 5 muffins for each of her guests and kept aside two additional muffins in case someone will want extra. After the party, it turned out that one of the guests didn't come but every one of the guests that did come ate six muffins and 6 muffins remained. How... | 85,261 |
<|im_start|>user
Complete the series
13, 9, 5, 1, -3, -7, -11, -15, ...
Answer Choices: (A) -4 (B) 0 (C) 3 (D) -2 (E) -19<|im_end|>
<|im_start|>assistant
<think>
</think>
In the above series clearly we know we can get the next term by subtract 4 from the previous term so
The answer is E<|endoftext|> | 74,423 |
<|im_start|>user
A store owner estimates that the average price of type A products will increase by 30% next year and that the price of type B products will increase by 10% next year. This year, the total amount paid for type A products was $4500 and the total price paid for type B products was $8300. According to the ... | 75,670 |
<|im_start|>user
A tour group of 25 people paid a total of $600 for entrance to a museum. If this price included a 5% sales tax, and all the tickets cost the same amount, what was the face value of each ticket price without the sales tax?
Choices
Answer Choices: (A) $22.8 (B) $23.94 (C) $24 (D) $25.20 (E) $30<|im_end|>... | 33,614 |
<|im_start|>user
If 11.25 m of a uniform steel rod weighs 42.75 kg. what will be the weight of 6 m of the same rod?
Answer Choices: (A) 22.8 kg (B) 25.6 kg (C) 28 kg (D) 26.5 kg (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
Let the required weight be x kg. Then, Less length, Less we... | 65,136 |
<|im_start|>user
A man sells two articles for Rs.3600 each and he gains 30% on the first and loses 30% on the next. Find his total gain or loss?
Answer Choices: (A) 9% loss (B) 400 (C) 4000 (D) 324 (E) 8% LOSS<|im_end|>
<|im_start|>assistant
<think>
</think>
(30*30)/100 = 9%loss
The answer is A<|endoftext|> | 86,897 |
<|im_start|>user
A car covers a distance of 829 km in 7 hours. Find its speed?
Answer Choices: (A) 104 kmph (B) 289 kmph (C) 118 kmph (D) 277 kmph (E) 177 kmph<|im_end|>
<|im_start|>assistant
<think>
</think>
829/7
= 118 kmph
The answer is C<|endoftext|> | 36,867 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Informal writing is typically used in casual situations or when communicating with someone you know well. Informal language often expresses familiarity and tends to sound more like speech. It uses more conversational languag... | 5,273 |
<|im_start|>user
If r is the product of the integers from 1 to 30, inclusive, what is the greatest integer k for which 3^k is a factor of r ?
Answer Choices: (A) 10 (B) 12 (C) 14 (D) 16 (E) 18<|im_end|>
<|im_start|>assistant
<think>
</think>
Answer is C.
numbers in format of 3^k in the series from 1 to 30 inclus... | 16,094 |
<|im_start|>user
In how many ways can a person post 5 letters in 4 letter boxes ?
Answer Choices: (A) 480 (B) 1024 (C) 54 (D) 4^5 (E) 5^5<|im_end|>
<|im_start|>assistant
<think>
</think>
There are 4 places (ABCD) that need to be filled.
Letter 1 can be posted in either A, B, C, or D i.e. 4 ways
Letter 2 can be posted... | 11,668 |
<|im_start|>user
A train 400 m long can cross an electric pole in 20 sec and then find the speed of the train?
Answer Choices: (A) 16 (B) 55 (C) 72 (D) 88 (E) 12<|im_end|>
<|im_start|>assistant
<think>
</think>
Length = Speed * time
Speed = L/T
S = 400/20
S = 20 M/Sec
Speed= 20*18/5 (To convert M/Sec in to Kmph multi... | 56,011 |
<|im_start|>user
A and B can finish a work in 7 days and 8 days respectively.if both do work one day and leave one day.and A start the work then in how much days work will finish?
Answer Choices: (A) 52/7 (B) 8 (C) 14/2 (D) 6 (E) 43/6<|im_end|>
<|im_start|>assistant
<think>
</think>
(A+B) work in 2 days=[1/7+1/8]=15/... | 2,580 |
<|im_start|>user
If you select two cards from a pile of cards numbered 1 to 10, what is the probability that the sum of the numbers is more than 17?
Answer Choices: (A) 1/5 (B) 1/10 (C) 2/15 (D) 1/45 (E) 2/45<|im_end|>
<|im_start|>assistant
<think>
</think>
The number of ways to choose two cards is 10C2=45.
There are... | 27,860 |
<|im_start|>user
A man bought 10 crates of mangoes for $160 total. If he lost 2 of the crates, at what price would he have to sell each of the remaining crates in order to earn a total profit of 25 percent of the total cost?
Answer Choices: (A) $35 (B) $25 (C) $45 (D) $50 (E) $55<|im_end|>
<|im_start|>assistant
<think>... | 22,130 |
<|im_start|>user
Here the sum of the series is 4+8+12+16+….. =612. find how many terms are there in the series?
Answer Choices: (A) 15 (B) 19 (C) 17 (D) 14 (E) 13<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution: This is an A.P. in which a=4, d=4 and Sn=612
Then, n/2[2a+(n-1)d]=612 => n/2[2*4+(n-1)*4]=612
=>... | 96,727 |
<|im_start|>user
Two trains of equal length are running on parallel lines in the same direction at 46 km/hr and 36 km/hr. The faster train passes the slower train in 36 seconds. The length of each train is ?
Answer Choices: (A) 40 meter (B) 45 meter (C) 50 meter (D) 55 meter (E) None of these<|im_end|>
<|im_start|>assi... | 5,202 |
<|im_start|>user
(A% of 5B + B% of A) is equal to ?
Answer Choices: (A) A% of B (B) B% of A (C) 6% of AB (D) AB% of 3 (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Answer
A% of 5B + B% of A =5AB/100 + AB/100
= 6AB/100 = 6% of AB
Correct Option: C
The answer is C<|endoftext|> | 93,629 |
<|im_start|>user
A worker's daily wage is increased by 40% and the new wage is $35 per day. What was the worker's daily wage before the increase?
Answer Choices: (A) $20 (B) $21 (C) $24 (D) $25 (E) $28<|im_end|>
<|im_start|>assistant
<think>
</think>
Let x be the daily wage before the increase.
1.4x = $35
x = $25
The... | 33,516 |
<|im_start|>user
Mr. stenley employed a certain number of typist for his project. 8 days later 20% of the typist left the job and it was found that it took as much time to complete the rest work from then as the entire work needed with all the employed typists. The average speed of a typist is 20 pages/hour. Minimum ho... | 19,590 |
<|im_start|>user
A five-digit number is formed by using digits 1, 2, 3, 4 and 5 without repetition. What is the probability that the number is divisible by 4?
Answer Choices: (A) 1/5 (B) 2/5 (C) 3/5 (D) 4/5 (E) 6/5<|im_end|>
<|im_start|>assistant
<think>
</think>
A number divisible by 4 formed using the digits 1, 2, ... | 93,140 |
<|im_start|>user
A, B, and C were to be paid in proportion to the part of work they did while working on the same piece of work. A and B individually can finish the piece of work in 12 days and 15 days respectively. They worked together for five days and then C completed the remaining work all alone. If $900 was the ne... | 67,397 |
<|im_start|>user
Anil spends 40% of his income on rent, 30% of the remaining on medicines and 20% of the remaining on education. If he saves Rs. 840 every month, then find his monthly salary?
Answer Choices: (A) Rs. 2000 (B) Rs. 2500 (C) Rs. 2700 (D) Rs. 3000 (E) Rs. 2500<|im_end|>
<|im_start|>assistant
<think>
</thin... | 88,809 |
<|im_start|>user
A train covers a distance of 100km in 1 hour. If its speed is decreased by 12km/hr, the time taken by the car to cover the same distance will be?
Answer Choices: (A) 1hr (B) 1hr 8min (C) 50min (D) 1hr 30min (E) 1hr 45min<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = 100/1 = 100km/hr
New sp... | 53,052 |
<|im_start|>user
A person buys an article at Rs.350. At what price should he sell the article so as to make a profit of 30%?
Answer Choices: (A) 455 (B) 277 (C) 269 (D) 261 (E) 281<|im_end|>
<|im_start|>assistant
<think>
</think>
Cost price = Rs.350
profit = 30% of 350 = Rs.105
Selling price = Cost price + Profit
= 3... | 33,449 |
<|im_start|>user
If a and b are positive even integers, and the least common multiple of a and b is expressed as a*b/w, which of the following statements could be false?
Answer Choices: (A) n is a factor of both a and b (B) (a*b) /n < ab (C) ab is multiple of 2. (D) (a*b) /n is a multiple of 2. (E) w is a multiple of 4... | 84,357 |
<|im_start|>user
A circular ground whose diameter is 40 metres, has a garden of area 1100m^2around it. What is the wide of the path of the garden ?
Answer Choices: (A) 8.07 (B) 7.07 (C) 6.07 (D) 7.0 (E) 8.5<|im_end|>
<|im_start|>assistant
<think>
</think>
Req. area = π[(20)2 – (r)2]
= 22â„7 × (400- r^2)[since a2... | 92,845 |
<|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.
Anaphora is the repetition of the same word or words at the beginning of several phrases or clau... | 3,192 |
<|im_start|>user
A and B together can do a work in 3 days. If A alone can do it in 6 days. In how many days can B alone do it?
Answer Choices: (A) 10 (B) 99 (C) 77 (D) 55 (E) 6<|im_end|>
<|im_start|>assistant
<think>
</think>
1/3 – 1/6 = 1/6
=> 6
The answer is E<|endoftext|> | 10,665 |
<|im_start|>user
The president of a country and 6 other dignitaries are scheduled to sit in a row on the 7 chairs represented above. If the president must sit in the center chair, how many different seating arrangements are possible for the 5 people?
Answer Choices: (A) 720 (B) 5 (C) 20 (D) 24 (E) 120<|im_end|>
<|... | 58,880 |
<|im_start|>user
Photoautotrophs and chemoautotrophs are two basic types of what?
Answer choice: (A) plants (B) consumers (C) autotrophs (D) decomposers<|im_end|>
<|im_start|>assistant
<think>
</think>
Producers are organisms that produce food for themselves and other organisms. They use energy and simple inorganic m... | 1,865 |
<|im_start|>user
Two numbers are less than third number by 35% and 37% respectively. How much percent is the second number less than by the first
Answer Choices: (A) 8% (B) 10% (C) 33% (D) 41% (E) 42%<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the third number is x.
then first number = (100-35)% of x
= 65% ... | 42,980 |
<|im_start|>user
The cost price of 17 articles is equal to the selling price of 11 articles. Find the profit percent?
Answer Choices: (A) 58 2/91% (B) 54 6/11% (C) 58 9/11% (D) 58 2/91% (E) 52 2/11%<|im_end|>
<|im_start|>assistant
<think>
</think>
17 CP = 11 SP
11 --- 2 CP
100 --- ? =>54 6/11%
The answer is B<|endoft... | 78,046 |
<|im_start|>user
As part of a promotion designed to attract visitors, an amusement park gives out 24,600 free tickets per year. Usually, the number of tickets given away each month is constant. Due to an employee error, only 7,000 tickets were given out in the first four months of the year. How many tickets should the ... | 95,493 |
<|im_start|>user
What kind of oily substance is secreted from sebaceous glands?
Answer choice: (A) pus (B) sebum (C) Blood (D) progesterone<|im_end|>
<|im_start|>assistant
<think>
</think>
Sebaceous glands produce an oily substance called sebum. Sebum is secreted into hair follicles and makes its way to the skin surf... | 1,782 |
<|im_start|>user
If a·b·c·d=450, where a, b, c and d are positive integers, and a<b<c<d, which of the following could be the value of d−a?
Answer Choices: (A) 9 (B) 10 (C) 11 (D) 13 (E) 15<|im_end|>
<|im_start|>assistant
<think>
</think>
prime factorize : 450 = 2*3*5*15
Hence a = 2 and d = 15 .
Hence answer is 15 - 2... | 56,668 |
<|im_start|>user
The average age of a group of 5 members is 20 years. Two years later, a new member joins the group. The average age of the group becomes 21 years. What is the age of the new member ?
Answer Choices: (A) 20 years (B) 21 years (C) 16 years (D) 23 years (E) 24 years<|im_end|>
<|im_start|>assistant
<think>... | 3,528 |
<|im_start|>user
Ravi covers a distance of 900mtrs in 180 secs. Find his speed in kmph?
Answer Choices: (A) 10 kmph (B) 18 kmph (C) 20 kmph (D) 26 kmph (E) 28 kmph<|im_end|>
<|im_start|>assistant
<think>
</think>
Given distance D= 900 meters and Time= 180 seconds
Speed = Distance/Time
= 900/180
= 5 m/s.
But speed is ... | 64,407 |
<|im_start|>user
Let us say that a table tennis tournament was going on with knock out terms which means the one who loses the match is out of the tournament. 100 players took part in that tournament.
How many matches were played?
Answer Choices: (A) 88 (B) 99 (C) 50 (D) 85 (E) 57<|im_end|>
<|im_start|>assistant
<think... | 21,010 |
<|im_start|>user
The average weight of 16 men in a committe is 50.25 kg and that of the remaining 8 men are45.15 kg. Find the average weights of all the men in the committe?
Answer Choices: (A) 42 (B) 48.55 (C) 49.2 (D) 50.1 (E) 51.2<|im_end|>
<|im_start|>assistant
<think>
</think>
Required average
= 50.25 x 16 + 45.... | 86,293 |
<|im_start|>user
If a and b are each greater than x and y, which of the following must be true?
I. a + b < x + y
II. ab > xy
III.a + b > x + y
Answer Choices: (A) I only (B) II only (C) I and II (D) III only (E) I, II and III<|im_end|>
<|im_start|>assistant
<think>
</think>
I. a + b > x + y. Since a and b are each gr... | 1,922 |
<|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.
When you are using metric units, length can be written with units of millimeters, centimeters, me... | 365 |
<|im_start|>user
Convert 0.38 in to a vulgar fraction ?
Answer Choices: (A) 18/50 (B) 16/50 (C) 17/50 (D) 19/50 (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Answer
0.38 = 38/100 = 19/50
Correct Option: D
The answer is D<|endoftext|> | 96,738 |
<|im_start|>user
Ramesh spends 40% of his monthly salary on food, 40% of the remaining on conveyance and clothes and saves 50% of the remaining amount. If his monthly salary is Rs.17,000, how much money does he save every month ?
Answer Choices: (A) Rs. 3,400 (B) Rs. 3060 (C) Rs. 2,540 (D) Rs.1,880 (E) None of these<|i... | 47,744 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
All solids, liquids, and gases are made of matter. Matter is made up of tiny particles that are always moving. The energy from the motion of these particles is called thermal energy.
Temperature measures how hot or cold matt... | 4,062 |
<|im_start|>user
A trained covered x km at 40 kmph and another 2x km at 20 kmph. Find the average speed of the train in covering the entire 3x km.
Answer Choices: (A) 33 (B) 77 (C) 24 (D) 55 (E) 88<|im_end|>
<|im_start|>assistant
<think>
</think>
Total time taken = x/40 + 2x/20 hours
= 5x/40 = x/8 hours
Average speed... | 72,839 |
<|im_start|>user
How many positive integers, from 2 to 100, inclusive, are not divisible by even integers greater than 1?
Answer Choices: (A) 5 (B) 6 (C) 8 (D) 10 (E) 50<|im_end|>
<|im_start|>assistant
<think>
</think>
The no will be of the form 2^n to achieve this. Since any other form will have odd no in the prime ... | 27,825 |
<|im_start|>user
A certain protective additive increases from 30 days to 45 days the time between required maintenance checks on an industrial vehicle. By what percent is the time between maintenance checks increased by using the additive?
Answer Choices: (A) 25% (B) 33 1/3% (C) 50% (D) 66 2/3% (E) 75%<|im_end|>
<|im_s... | 93,148 |
<|im_start|>user
Insect's antennae are useful for sensing what?
Answer choice: (A) contaminants (B) chemicals (C) microorganisms (D) sunlight<|im_end|>
<|im_start|>assistant
<think>
</think>
Insects have six legs and a pair of antennae for sensing chemicals. They also have several eyes and specialized mouthparts for ... | 3,553 |
<|im_start|>user
From a pack of 52 cards, 1 card is drawn at random. Find the probability of a face card drawn
Answer Choices: (A) 4/13 (B) 1/52 (C) 1/4 (D) 1/5 (E) None of above<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Total number of cases = 52
Total face cards = 16 [favourable cases]
So probab... | 6,842 |
<|im_start|>user
In what proportion must rice at Rs 3.10 per kg be mixed with rice at Rs 3.60 per kg, so that the mixture be worth Rs 3.25 a kg?
Answer Choices: (A) 3/5 (B) 3/2 (C) 5/3 (D) 5/7 (E) 7/3<|im_end|>
<|im_start|>assistant
<think>
</think>
C.P of 1 kg of cheaper rice = Rs 3.10
C.P of 1 kg of expensive rice ... | 65,332 |
<|im_start|>user
Jim began driving from home on a trip averaging 30 miles per hour. How many miles per hour must Carla drive on average to catch up to him in exactly 3 hours if she leaves 30 minutes after Jim?
Answer Choices: (A) 35 (B) 55 (C) 39 (D) 40 (E) 60<|im_end|>
<|im_start|>assistant
<think>
</think>
Carla st... | 94,882 |
<|im_start|>user
N number of persons decide to raise 3 lakhs by equal contributions from each. If they contributed 50 each extra, the contribution would be 3.25 lakhs. How many persons are there?
Answer Choices: (A) 600 (B) 400 (C) 450 (D) Cannot be determined (E) None of these<|im_end|>
<|im_start|>assistant
<think>
... | 80,455 |
<|im_start|>user
The closest approximation of D(69.28 × 0.004)/0.03 is
Answer Choices: (A) 0.092 (B) 0.92 (C) 9.2 (D) 92 (E) 920<|im_end|>
<|im_start|>assistant
<think>
</think>
D(69.28 × 0.004)/0.03
1. 0.004 = 4 × 10^(-3)
2. 0.03 = 3 × 10^(-2)
3. (a × b)/c = a × (b/c)
4. 0.004/0.03 = 4 × 10^(-3)/ (3 × 10^(-2)) = 4 ×... | 16,258 |
<|im_start|>user
Pumping alone at their respective constant rates, one inlet pipe fills an empty tank to 1/2 of capacity in 9 hours and a second inlet pipe fills the same empty tank to 2/3 of capacity in 6 hours. How many hours will it take both pipes, pumping simultaneously at their respective constant rates, to fill ... | 76,847 |
<|im_start|>user
What does the thymus gland produce?
Answer choice: (A) b cells (B) insulin (C) t cells (D) hormones<|im_end|>
<|im_start|>assistant
<think>
</think>
Organs of the lymphatic system include the tonsils, thymus gland and spleen. The thymus gland produces T cells or T-lymphocytes (see below) and the sple... | 4,963 |
<|im_start|>user
Brenda and Sally run in opposite direction on a circular track, starting at diametrically opposite points. They first meet after Brenda has run 100 meters. They next meet after Sally has run 200 meters past their first meeting point. Each girl runs at a constant speed. What is the length of the track i... | 28,189 |
<|im_start|>user
Which fungi eaten by people all over the world?
Answer choice: (A) fruits (B) mushrooms (C) legumes (D) algae<|im_end|>
<|im_start|>assistant
<think>
</think>
Mushrooms are fungi that are eaten by people all over the globe.
The answer is B<|endoftext|> | 6,282 |
<|im_start|>user
Aishwarya was first to board to her flight to delhi.
She forgot her seat number and picks a random seat for herself.
After this, every single person who get to the flight sits on his seat if its available else chooses any available seat at random.
Abhishek is last to enter the flight and at that moment... | 19,398 |
<|im_start|>user
10 women can complete a work in 8 days and 10 children take 12 days to complete the work. How many days will 6 women and 3 children together take to complete the work?
Answer Choices: (A) 7 (B) 10 (C) 8 (D) 9 (E) 11<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
1 women’s 1 day’s work ... | 69,353 |
<|im_start|>user
When positive integer X is divided by positive integer Y, the remainder is 1.44. If X/Y = 96.12, what is the value of Y?
Answer Choices: (A) 96 (B) 75 (C) 48 (D) 25 (E) 12<|im_end|>
<|im_start|>assistant
<think>
</think>
When positive integer x is divided by positive integer y, the remainder is 1.44 ... | 9,552 |
<|im_start|>user
The area of the Rest room is 40 m2 that of a longer wall 10 m2 and of the shorter wall 1 m2, find the edge of the new cube?
Answer Choices: (A) 40 m3 (B) 10 m2 (C) 80 m3 (D) 20 m3 (E) 50 m3<|im_end|>
<|im_start|>assistant
<think>
</think>
lb = 40 ; lh = 10 ; fh = 1
(lbh)2 = 40 * 10 * 1 => lbh = 20 m3... | 96,836 |
<|im_start|>user
3/4 of a number is 19 less than the original number. The number is ?
Answer Choices: (A) 84 (B) 64 (C) 76 (D) 72 (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Answer
Let the original number be N.
So from question N - 3N/4 = 19
⇒ 4N - 3N = 76
∴ N = 76
Option: C
The answer is C<|endoftext|> | 30,477 |
<|im_start|>user
A shipment of 8 television sets contains 2 black-and-white sets and 5 color sets. If 2 television sets are to be chosen at random from this shipment, what is the probability that at least 1 of the 2 sets chosen will be a black-and-white set?
Answer Choices: (A) 1/7 (B) 1/4 (C) 9/14 (D) 11/28 (E) 13/28<... | 39,533 |
<|im_start|>user
A train travels 210 km in 3 hours and 270 km in 4 hours.find the average speed of train.
Answer Choices: (A) 80 kmph (B) 69 kmph (C) 70 kmph (D) 90 kmph (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
As we know that Speed = Distance / Time
for average speed = Total Distance / Tota... | 27,453 |
<|im_start|>user
A reduction of 20% in the price of salt enables a lady to obtain 10kgs more for Rs.100, find the original price per kg?
Answer Choices: (A) Rs.2.8 (B) Rs.2.4 (C) Rs.2.5 (D) Rs.2.2 (E) Rs.2.1<|im_end|>
<|im_start|>assistant
<think>
</think>
100*(20/100) = 20 --- 10
? --- 1 => Rs.2
100 --- 80
? --- 2 =... | 26,892 |
<|im_start|>user
To apply for the position of photographer at a local magazine, a photographer needs to include four or five photos in an envelope accompanying the application. If the photographer has pre-selected seven photos representative of her work, how many choices does she have to provide the photos for the maga... | 89,822 |
<|im_start|>user
A and B rent a pasture for 10 months. A put in 80 cows for 7 months. How many can B put in for the remaining 3 months, if he pays half as much again as A?
Answer Choices: (A) 157 (B) 169 (C) 197 (D) 280 (E) 176<|im_end|>
<|im_start|>assistant
<think>
</think>
80* 7: x* 3
= 1:1 1/2
560: 3x = 2: 3
x = ... | 63,756 |
<|im_start|>user
Hannah and Jake race around a running track. Hannah runs at a constant rate of one lap every 2 minutes and Jake runs at a constant rate of one lap every 5 minutes. If they both start at the same time, how many minutes will it take for Hannah to get exactly one lap ahead of Jake?
Answer Choices: (A) 3/5... | 36,865 |
<|im_start|>user
A train running at the speed of 60 km/hr crosses a pole in 15 seconds. Find the length of the train?
Answer Choices: (A) 150 (B) 872 (C) 250 (D) 288 (E) 212<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = 60*(5/18) m/sec = 50/3 m/sec
Length of Train (Distance) = Speed * Time
(50/3) * 15 = 25... | 29,844 |
<|im_start|>user
After replacing an old member by a new member, it was found that the average age of five members of a club is the same as it was 3 years ago. What is the difference between the ages of the replaced and the new member ?
Answer Choices: (A) 12 (B) 13 (C) 14 (D) 15 (E) 16<|im_end|>
<|im_start|>assistant
<... | 96,068 |
<|im_start|>user
What occurs when so much water enters a stream or river that it overflows its banks or when deep snow melts very quickly in spring?
Answer choice: (A) drought (B) flooding (C) avalanche (D) storm<|im_end|>
<|im_start|>assistant
<think>
</think>
A flood occurs when so much water enters a stream or riv... | 10,610 |
<|im_start|>user
In an examination, there were 2,000 candidates, out of which 900 candidates were girls and rest were Boys. If 38% of the boys and 32% of the girls passed, then the total percentage of failed candidates is?
Answer Choices: (A) 35.67% (B) 64.75% (C) 68.57% (D) 69.57% (E) none of these<|im_end|>
<|im_star... | 87,498 |
<|im_start|>user
An urn contains 5 red, 6 blue and 8 green balls. 3 balls are randomly selected from the urn, find the probability that the drawn ball are blue?
Answer Choices: (A) 20/969 (B) 20/875 (C) 21/876 (D) 3/512 (E) 2/9<|im_end|>
<|im_start|>assistant
<think>
</think>
Sample space = no. of ways 3 balls were d... | 14,890 |
<|im_start|>user
If 2^k + 2^k = (2^9)^(2^9) - 2^k, then k = ?
Answer Choices: (A) 11/3 (B) 11/2 (C) 2^11 - 1 (D) 3^10 (E) 3^11 - 1<|im_end|>
<|im_start|>assistant
<think>
</think>
2^k + 2^k = (2^9)^2^9 - 2^k
2*(2^k) = 2 ^ (4 * 3^9 ) = 2^(2^2 * 2^9) = 2^(2^11)
2^k+1 = 2^(2^11)
So k+1 = 2^11
So k = 2^11 -1
The answ... | 63,365 |
<|im_start|>user
The length of a train and that of a platform are equal. If with a speed of 216 k/hr, the train crosses the platform in one minute, then the length of the train (in meters) is?
Answer Choices: (A) 1752 (B) 1799 (C) 1719 (D) 1750 (E) 1800<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = [216 * ... | 59,178 |
<|im_start|>user
A cyclist rides a bicycle over a route which is 1/3 uphill, 1/3 level, and 1/3 downhill. If the cyclist covers the uphill part of the route at the rate of 8 km per hour and the level part at the rate of 12 km per hour, what rate in km per hour would the cyclist have to travel the downhill part of the r... | 28,565 |
<|im_start|>user
An example of irreversible denaturation of what substance occurs to the liquid albumin when an egg is fried?
Answer choice: (A) bacterial (B) protein (C) acids (D) liquid<|im_end|>
<|im_start|>assistant
<think>
</think>
Denaturation and Protein Folding Each protein has its own unique sequence and sha... | 1,313 |
<|im_start|>user
the efficiency of doing work of A is triple than B.hence,any work finished by A,60 days before than B.both together in how many days will finish the work?
Answer Choices: (A) 20 days (B) 45/2 days (C) 25 days (D) 30 days (E) 28 days<|im_end|>
<|im_start|>assistant
<think>
</think>
let any work finish... | 40,359 |
<|im_start|>user
How many three digits number can be formed by using the digits 1,2,3,4,5?
Answer Choices: (A) 152 (B) 125 (C) 225 (D) 325 (E) 252<|im_end|>
<|im_start|>assistant
<think>
</think>
Here the repetition of digits allowed. The unit place of the number can be filled in by any of the given numbers in 5 ways... | 45,886 |
<|im_start|>user
The benthic zone is found at the bottom of all of what type of biomes?
Answer choice: (A) well (B) desert (C) space (D) aquatic<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is D<|endoftext|> | 7,967 |
<|im_start|>user
Where does the purple color in quartz come from?
Answer choice: (A) iron (B) aluminum (C) dirt (D) bronze<|im_end|>
<|im_start|>assistant
<think>
</think>
A certain mineral may form in different colors. Figure below shows four samples of quartz, including one that is colorless and one that is purple.... | 10,785 |
<|im_start|>user
Abby and Bobby type at constant rates of 70 words per minute and 60 words per minute, respectively. Bobby begins typing before Abby and has typed 600 words when Abby begins typing at 1:30 pm. If they continue typing at their respective rates, at what time will Abby have typed exactly 200 more words tha... | 67,667 |
<|im_start|>user
In a barrel of juice there is 20 liters; in a barrel of beer there are 80 liters. If the price ratio between barrels of juice to a barrel of beer is 3:4, what is the price ratio between one liter of juice and one liter of beer?
Answer Choices: (A) 3:2. (B) 2:1. (C) 3:1. (D) 4:3. (E) 3:4.<|im_end|>
<|im... | 55,667 |
<|im_start|>user
Two pipes A and B can fill a tank in 4 and 5 hours respectively. If they are turned up alternately for one hour each, the time taken to fill the tank is?
Answer Choices: (A) 4 hrs 27 min (B) 4 hrs 24 min (C) 4 hrs 74 min (D) 4 hrs 54 min (E) 4 hrs 21 min<|im_end|>
<|im_start|>assistant
<think>
</think... | 28,002 |
<|im_start|>user
What color is the brittle metalloid tallurium?
Answer choice: (A) brownish black (B) purplish blue (C) silvery white (D) yellowish green<|im_end|>
<|im_start|>assistant
<think>
</think>
Tellurium is a silvery white, brittle metalloid. It is toxic and may cause birth defects. Tellurium can conduct ele... | 2,810 |
<|im_start|>user
In how many ways can we put 4 different balls in 3 different boxes when any box can contain any number of balls?
Answer Choices: (A) 80 (B) 81 (C) 64 (D) 63 (E) 82<|im_end|>
<|im_start|>assistant
<think>
</think>
Stage 1: Select a box for the 1st ball to go into.
There are 3 available boxes, so we ca... | 324 |
<|im_start|>user
In how many different ways can the letters of the word OPTICAL be arranged so that the vowels always come together?
Answer Choices: (A) 610 (B) 720 (C) 825 (D) 920 (E) 925<|im_end|>
<|im_start|>assistant
<think>
</think>
The word 'OPTICAL' contains 7 different letters.
When the vowels OIA are always ... | 73,386 |
<|im_start|>user
Four brothers Adam, Bill, Charles and David together contributed certain amount of money and purchased a car. The contribution made by Adam is half that of the total contribution made by the other three brothers, contribution made by Bill is one-fourth of the total contribution made by the other three ... | 91,654 |
<|im_start|>user
Two trains, one from P to Q and the other from Q to P, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 16 hours respectively. The ratio of their speeds is
Answer Choices: (A) 4:3 (B) 3:4 (C) 2:4 (D) 4:2 (E) 2:5<|im_end|>
<|im_start|>assistant
<think>
</thin... | 37,113 |
<|im_start|>user
Express 25 mps in kmph?
Answer Choices: (A) 16 (B) 76 (C) 90 (D) 87 (E) 12<|im_end|>
<|im_start|>assistant
<think>
</think>
25 * 18/5
= 90 kmph
The answer is C<|endoftext|> | 4,893 |
<|im_start|>user
If b equals 10% of a and c equals 20% of b, then which one of the following equals 30% of c?
Answer Choices: (A) 0% (B) 0.6% (C) 0.06% (D) 6.0% (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
Given,
b=10% of a
=>(10/100)×a
=>0.1a.
And, c=20% of b
=>(20/100)×b
=>0.2b
=... | 82,242 |
<|im_start|>user
Ramu bought an old car for Rs. 42000. He spent Rs. 13000 on repairs and sold it for Rs. 64900. What is his profit percent?
Answer Choices: (A) 11 (B) 12 (C) 18 (D) 17 (E) 19<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Total CP = Rs. 42000 + Rs. 13000 = Rs. 55000 and SP = Rs. 64900
P... | 31,095 |
<|im_start|>user
In a pair of fractions, fraction A is twice the fraction B and the product of two fractions is 2/25. What is the value of fraction A?
Answer Choices: (A) 2/9 (B) 2/2 (C) 2/5 (D) 2/6 (E) 2/4<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
A = 2B => B = 1/2 A, so, AB = 2/25
1/2 A2 = 2/25
... | 54,546 |
<|im_start|>user
One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill tank in 35 min, then the slower pipe alone will be able to fill the tank in?
Answer Choices: (A) 229 (B) 787 (C) 144 (D) 128 (E) 140<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the slower pipe al... | 21,257 |
<|im_start|>user
a is the hundreds digit of the three digit integer x, b is the tens digit of x, and c is the units digit of x. a = 4b = 2c, and a > 0.
What is the difference between the two greatest possible values of x?
Tip: Dont stop till you have exhausted all answer choices to arrive at the correct one.
Answer Cho... | 66,357 |
<|im_start|>user
Suresh borrowed some money at the rate of 6% p.a. for the first three years, 9% p.a. for the next five years and 13% p.a. for the period beyond eight years. If the total interest paid by him at the end of 11 years is Rs.8160, how much money did he borrow?
Answer Choices: (A) Rs.8500 (B) Rs.6000 (C) Rs.... | 23,683 |
<|im_start|>user
The ages of Patrick and Michael are in the ratio of 3 : 5 and that of Michael and Monica are in the ratio of 3 : 5. If the sum of their ages is 196, what is the difference between the ages of Patrick and Monica?
Answer Choices: (A) 27 (B) 64 (C) 45 (D) 72 (E) 18<|im_end|>
<|im_start|>assistant
<think>
... | 57,163 |
<|im_start|>user
A certain car traveled twice as many miles from Town A to Town B as it did from Town B to Town C. From Town A to Town B, the car averaged 8 miles per gallon, and from Town B to Town C, the car averaged 18 miles per gallon. What is the average miles per gallon that the car achieved on its trip from Town... | 55,234 |
<|im_start|>user
What was the informal female name given to the adult fossil found in ethiopia and thought to be over 3 million years old?
Answer choice: (A) alice (B) aunt (C) lucy (D) linda<|im_end|>
<|im_start|>assistant
<think>
</think>
footprints, similar to those of modern humans, were found in Laetoli, Tanzani... | 9,110 |
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