text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
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<|im_start|>user
When a Bike is sold for Rs. 63,000, the owner loses 10%. At what price must that Bike be sold in order to gain 10%?
Answer Choices: (A) 74000 (B) 75000 (C) 76000 (D) 77000 (E) 78000<|im_end|>
<|im_start|>assistant
<think>
</think>
90 : 63000 = 110 : x
x = (63000 x 110)/90 = 77,000.
Hence, S.P. = Rs. ... | 2,043 |
<|im_start|>user
During the break of a football match, the coach will make 3 substitutions. If the team consists of 14 players among which there are 2 forwards, what is the probability that none of the forwards will be substituted?
Answer Choices: (A) 21/55 (B) 18/44 (C) 21/99 (D) 28/44 (E) 36/55<|im_end|>
<|im_st... | 1,381 |
<|im_start|>user
A, B and C shared the profit in a business in the ratio 5 : 7 : 8. They had partnered for 14 months, 8 months and 14 months respectively. What was the ratio of their investments?
Answer Choices: (A) 10:12:14 (B) 12:24:28 (C) 20:22:12 (D) 20:49:32 (E) None of these<|im_end|>
<|im_start|>assistant
<think... | 95,163 |
<|im_start|>user
What is the term for the distance between two corresponding points on adjacent waves?
Answer choice: (A) arc wave (B) variation (C) bandwidth (D) wavelength<|im_end|>
<|im_start|>assistant
<think>
</think>
Wavelength is one way of measuring the size of waves. It is the distance between two correspond... | 8,336 |
<|im_start|>user
The arithmetic mean of the set S = {6, K, 5, 11, M, 6} is 7. If K and M are integers, and K ≠ M, what is the median of the numbers in the set?
Answer Choices: (A) 5 (B) 5.5 (C) 6 (D) 6.5 (E) 7<|im_end|>
<|im_start|>assistant
<think>
</think>
The sum of the numbers is 6*7 = 42
K+M = 42 - 11 - 6 - 6 - ... | 34,529 |
<|im_start|>user
One train is traveling 54 kmph and other is at 10 meters a second. Ratio of the speed of the two trains is?
Answer Choices: (A) 5:4 (B) 3:2 (C) 5:0 (D) 5:4 (E) 5:1<|im_end|>
<|im_start|>assistant
<think>
</think>
54 * 5/18 = 10
15:10 => 3:2
The answer is B<|endoftext|> | 63,052 |
<|im_start|>user
Mangala completes a piece of work in 30 days, Raju completes the same work in 45 days. If both of them work together, then the number of days required to complete the work is
Answer Choices: (A) 18 days (B) 6 days (C) 8 days (D) 10 days (E) 11 days<|im_end|>
<|im_start|>assistant
<think>
</think>
If ... | 12,020 |
<|im_start|>user
An investor bought two shares of stock, which he sold for $48 each. If he had a profit of 20% on one of the shares and a loss of 20% on the other share, then on the sale of both shares combined, the investor had:
Answer Choices: (A) a profit of $10 (B) a profit of $4 (C) a loss of $4 (D) a loss of $10 ... | 13,300 |
<|im_start|>user
A thief goes away with a SANTRO car at a speed of 40 kmph. The theft has been discovered after half an hour and the owner sets off in a bike at 55 kmph when will the owner over take the thief from the start?
Answer Choices: (A) A) 1.33 (B) B) 5 (C) C) 7 (D) D) 5 (E) E) 8<|im_end|>
<|im_start|>assistant... | 76,486 |
<|im_start|>user
How much pure alcohol should be added to 400ml of a 15% solution to make the strength of solution 28%?
Answer Choices: (A) 100 ml (B) 60 ml (C) 120 ml (D) 140 ml (E) 150 ml<|im_end|>
<|im_start|>assistant
<think>
</think>
we can also go by answer choices
Tke 100 ml for eg
400 (old)+100 (new concentr)... | 79,665 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Solid and liquid are states of matter. Matter is anything that takes up space. Matter can come in different states, or forms.
When matter is a solid, it has a shape of its own.
Some solids can be bent or broken easily. Other... | 3,268 |
<|im_start|>user
What happens if a person doesn’t take in enough water to replace the water lost in sweat?
Answer choice: (A) diarrhea (B) fatigue (C) relaxation (D) dehydration<|im_end|>
<|im_start|>assistant
<think>
</think>
The boy in Figure below is taking a water break while playing outside on a hot day. If he d... | 8,467 |
<|im_start|>user
A, B AND C ARE EMPLOYED TO DO A PIECE OF WORK FOR RS. 529. A AND B TOGETHER ARE SUPPOSED TO DO 19/23 OF THE WORK AND B AND C TOGETHER 8/23 OF THE WORK. WHAT AMOUNT SHOULD A BE PAID?
Answer Choices: (A) RS. 315 (B) RS. 345 (C) RS. 355 (D) RS. 375 (E) NONE OF THESE<|im_end|>
<|im_start|>assistant
<think>... | 73,728 |
<|im_start|>user
In a rare coin collection, all coins are either pure gold or pure silver, and there is initially one gold coin for every three silver coins. With the addition of 10 more gold coins to the collection, the ratio of gold coins to silver coins is 1 to 2. Based on this information, how many total coins are ... | 61,790 |
<|im_start|>user
A rectangular-shaped carpet that measures x feet by y feet is priced at $38. What is the cost of the carpet, in dollars per square yard? (1 square yard = 9 square feet)
Answer Choices: (A) 180xy (B) 180/(xy) (C) 20xy (D) 342/(xy) (E) xy/180<|im_end|>
<|im_start|>assistant
<think>
</think>
The area ... | 89,684 |
<|im_start|>user
What is a sac filled with fluid or other material?
Answer choice: (A) a lesion (B) a cyst (C) Golgi apparatus (D) a receptacle<|im_end|>
<|im_start|>assistant
<think>
</think>
Cysts may develop in the ovaries. A cyst is a sac filled with fluid or other material. Ovarian cysts are usually harmless and... | 6,709 |
<|im_start|>user
A certain car can travel 20 minutes on a gallon of gasoline at 60 miles per hour. If the car had started with a full tank and had 8 gallons of gasoline left in its tank at the end, then what percent of the tank was used to travel 80 miles at 60 mph?
Answer Choices: (A) 16.67% (B) 20% (C) 25% (D) 30% (E... | 28,260 |
<|im_start|>user
What process do all species use to make the next generation?
Answer choice: (A) separation (B) differentiation (C) reproduction (D) variation<|im_end|>
<|im_start|>assistant
<think>
</think>
All living things reproduce to make the next generation. Organisms that do not reproduce will go extinct. As a... | 9,345 |
<|im_start|>user
Mars travels around the Sun at an approximate speed of 14.4 miles per second. This speed is how many kilometers per hour? (1 km = 0.6 miles)
Answer Choices: (A) 64,200 (B) 75,300 (C) 86,400 (D) 97,500 (E) 108,600<|im_end|>
<|im_start|>assistant
<think>
</think>
The speed is 14.4 miles/s. Then 14.4/0.... | 66,456 |
<|im_start|>user
How many minutes are there in two right angles?
Answer Choices: (A) 21 (B) 22 (C) 17 (D) 2888 (E) 2880<|im_end|>
<|im_start|>assistant
<think>
</think>
E
2880
They are the hour-minute, hour-second, and minute-second. Each hour, the minute hand will be at a right angle twice, so that's 48 right angles... | 534 |
<|im_start|>user
How many 4-digit Y numbers (ABCD) can be formed such that |A – D| = 2?
Answer Choices: (A) 2,000 (B) 1,900 (C) 1,800 (D) 1,600 (E) 1,500<|im_end|>
<|im_start|>assistant
<think>
</think>
1) A=0 and D-8
2) A and D as 1 and 9..so 3*100= 300 extra ways ans 1800-300 = 1500.
we are looking for |A-D|=2 so a... | 63,569 |
<|im_start|>user
The average of 11 numbers is 10.5. If the average of first six is 10.5 and that of the last six is 11.4 the sixth number is?
Answer Choices: (A) 9 (B) 9.2 (C) 10 (D) 15.9 (E) 17<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
1 to 11 = 11 * 10.5 = 115.5
1 to 6 = 6 * 10.5 = 63
6 to 11 = ... | 67,483 |
<|im_start|>user
A 10000 liter tank, half-full of water is being filled from a pipe with a flow rate of 1 kiloliter every 2 minutes. At the same time, the tank is losing water from two drains at a rate of 1 kiloliter every 4 minutes and every 6 minutes. How many minutes does it take to fill the tank completely?
Answer ... | 19,703 |
<|im_start|>user
A, B and C enter into partnership. A invests some money at the beginning, B invests double the amount after 6 months, and C invests thrice the amount after 8 months. If the annual gain be Rs.18000. A's share is?
Answer Choices: (A) 8876 (B) 2765 (C) 6000 (D) 1298 (E) 1261<|im_end|>
<|im_start|>assistan... | 54,423 |
<|im_start|>user
At a certain resort, each of the 39 food service employees is trained to work in a minimum of 1 restaurant and a maximum of 3 restaurants. The 3 restaurants are the family buffet, the dining room, and the snack bar. Exactly 19 employees are trained to work in the family buffet, 18 are trained to work i... | 97,099 |
<|im_start|>user
The value of 51/4 * (125)0.25 is:
Answer Choices: (A) 5 (B) 5(5) (C) 5√5 (D) √5 (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Sol.
51/4 * (125)0.25 = 50.25 * (53)0.25 * 5(3*0.25) = 50.25 * 50.75
= 5(0.25 + 0.75) = 51=5.
The answer is A<|endoftext|> | 3,072 |
<|im_start|>user
The events A and B are independent, the probability that event A occurs is greater than 0, and the probability that event A occurs is twice the probability that event B occurs. The probability that at least one of events A and B occurs is 8 times the probability that both events A and B occur. What is ... | 4,971 |
<|im_start|>user
How many kg of pure salt must be added to 100kg of 10% solution of salt and water to increase it to a 20% solution?
Answer Choices: (A) 6.7 (B) 1.3 (C) 9.6 (D) 12.5 (E) 7.9<|im_end|>
<|im_start|>assistant
<think>
</think>
Amount salt in 100kg solution = 10*100/100 = 10 kg
Let x kg of pure salt be add... | 80,709 |
<|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) 200 (B) 768 (C) 276 (D) 280 (E) 279<|im_end|>
<|im_start|>assistant
<think>
</think>
Profit on first art... | 47,186 |
<|im_start|>user
By selling 14 pencils for a rupee a man loses 22%. How many for a rupee should he sell in order to gain 22%?
Answer Choices: (A) 10 (B) 9 (C) 7 (D) 6 (E) 4<|im_end|>
<|im_start|>assistant
<think>
</think>
88% --- 14
122% --- ?
88/122 * 14 = 10
The answer is A<|endoftext|> | 8,020 |
<|im_start|>user
The smallest number which when diminished by 12, is divisible 12, 24, 36, 48 and 56 is:
Answer Choices: (A) 1008 (B) 1015 (C) 1020 (D) 1032 (E) 1048<|im_end|>
<|im_start|>assistant
<think>
</think>
Required number = (L.C.M. of 12, 24, 36, 48,56 ) + 12
= 1008 + 12
= 1020
The answer is C<|endoftext|> | 28,139 |
<|im_start|>user
8 : 4 seconds :: ? : 4 minutes
Answer Choices: (A) 10 (B) 8 (C) 20 (D) 25 (E) 30<|im_end|>
<|im_start|>assistant
<think>
</think>
8*4=4*x
x=8
The answer is B<|endoftext|> | 46,398 |
<|im_start|>user
There is a five digit code consist of letters and digit. the code can have one digit from 1,2,3 and any four letters from A,b,c,d,e. first and last code must be a letter and all letters can be repeated. How many combinations can be possible?
Answer Choices: (A) 625 (B) 3840 (C) 5625 (D) 11520 (E) 12520... | 89,681 |
<|im_start|>user
A card is drawn from a pack of 52 cards. The probability of getting a queen of spade or an ace of club is:
Answer Choices: (A) 1/13 (B) 1/26 (C) 2/13 (D) 1/52 (E) 1/48<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
Total outcomes = 52
Favourable outcomes (getting a queen of spade or a... | 26,550 |
<|im_start|>user
In Township K, 1/5 of the housing units are equiped with cable Tv. If 1/12 of the housing units, including 1/3 of those that are equiped with cable tv, are equipped with videocassette recorders, what fraction of the housing units have neither cable tv nor videocassette recorders?
Answer Choices: (A) 23... | 50,010 |
<|im_start|>user
what is the angle between the hands of a clock when time is 10:20?
Answer Choices: (A) 90deg (B) 75deg (C) 45deg (D) 15deg (E) 30deg<|im_end|>
<|im_start|>assistant
<think>
</think>
Angle between two hands =
20h - 11/2 m = 20*10 - 20*11/2 = 200 - 110 = 90deg
The answer is A<|endoftext|> | 85,705 |
<|im_start|>user
20 throws of a die produces following results
SCORE -- NUMBER OF OCCURRENCES
---1-------------------4
---2-------------------3
---3-------------------5
---4-------------------2
---5-------------------2
---6-------------------4
What is the probability C that one more throw to this series will increase t... | 69,920 |
<|im_start|>user
A = {2, 3, 5, 7, 17}
B = {2, 4, 6, 13}
Two integers will be randomly selected from sets A and B, one integer from set A and one from set B, and then multiplied together. How many different products can be obtained?
Answer Choices: (A) 15 (B) 16 (C) 19 (D) 20 (E) 36<|im_end|>
<|im_start|>assistant
<thin... | 24,842 |
<|im_start|>user
n a 1000m race, if A gives B a start of 40m, A wing by 19sec. But if A gives B start of 30sec, B wins by 40m.
Find the time taken by B to run 4000m race?
Answer Choices: (A) 500 (B) 700 (C) 400 (D) 600 (E) 800<|im_end|>
<|im_start|>assistant
<think>
</think>
then 960/B -1000/A = 19 => 24/B - 25/A = 1... | 45,792 |
<|im_start|>user
If |5x-5| = 150, what is the sum of all the possible values of x?
Answer Choices: (A) 2 (B) -2 (C) 6 (D) -3 (E) 5<|im_end|>
<|im_start|>assistant
<think>
</think>
There will be two cases
5x-5= 150 or 5x-5= -150
=> x =31 or x= -29
sum of both the values will be -29 +31 = 2
The answer is A<|endoftext|> | 87,761 |
<|im_start|>user
What is the term for when the water of the ocean slowly rises and falls?
Answer choice: (A) currents (B) dew (C) tides (D) waves<|im_end|>
<|im_start|>assistant
<think>
</think>
If you’ve ever visited an ocean shore, then you know that ocean water is always moving. Waves ripple through the water, as ... | 5,872 |
<|im_start|>user
If a person throw 2 dice simultaneously then find the probability of the sum of dots is 3 multiply ?
Answer Choices: (A) 1/2 (B) 1/3 (C) 2/5 (D) 7/9 (E) 1/4<|im_end|>
<|im_start|>assistant
<think>
</think>
If 2 dies are thrown E = event of getting a prime number = 12
total number of possible out come... | 56,570 |
<|im_start|>user
The length of a rectangle is halved, while its breadth is tripled. Watis the % change in area?
Answer Choices: (A) 30% (B) 40% (C) 50percent (D) 60% (E) 70%<|im_end|>
<|im_start|>assistant
<think>
</think>
Let original length = x and original breadth = y.
Original area = xy.
New length = x .
2
New br... | 16,201 |
<|im_start|>user
How many bricks, each measuring 25cm*11.25cm*6cm, will be needed to build a wall 8m*6m*22.5m
Answer Choices: (A) 6400 (B) 3777 (C) 2679 (D) 2667 (E) 1997<|im_end|>
<|im_start|>assistant
<think>
</think>
To solve this type of question, simply divide the volume of wall with the volume of brick to get t... | 94,929 |
<|im_start|>user
On Saturday morning, Malachi will begin a camping vacation and he will return home at the end of the first day on which it rains. If on the first three days of the vacation the probability of rain on each day is 0.6, what is the probability that Malachi will return home at the end of the day on the fol... | 77,008 |
<|im_start|>user
Plastics are common examples of synthetic polymers of what abundant element?
Answer choice: (A) silver (B) silicon (C) hydrogen (D) carbon<|im_end|>
<|im_start|>assistant
<think>
</think>
Synthetic carbon polymers are produced in labs or factories. Plastics are common examples of synthetic carbon pol... | 2,205 |
<|im_start|>user
How many minutes does it take Dorathy to type 16 words if she types at the rate of 4 words per minute?
Answer Choices: (A) 7 (B) 3 (C) 6 (D) 2 (E) 4<|im_end|>
<|im_start|>assistant
<think>
</think>
time*rate=job --> time*4=16 --> time=16/4=2.
The answer is E<|endoftext|> | 21,647 |
<|im_start|>user
A cube of edge 15cm is immersed completely in a rectangular vessel containing water. If the dimensions of the base of vessel are 20cm * 15cm , find the rise in water level?
Answer Choices: (A) 6cm (B) 8.25cm (C) 11.25cm (D) 15.12cm (E) 20.62cm<|im_end|>
<|im_start|>assistant
<think>
</think>
Increase... | 85,508 |
<|im_start|>user
10 men can complete a piece of work in 15 days and 15 women can complete the same work in 12 days. If all the 10 men and 15 women work together, in how many days will the work get completed?
Answer Choices: (A) 6 (B) 7 2⁄3 (C) 6 2⁄3 (D) 6 1⁄3 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
<... | 16,497 |
<|im_start|>user
In the first week of last month, Company X realized an average wholesale profit of $7140 per day from the sale of q units of Product Y. Which of the following CANNOT be the difference between Product Y’s sale price and cost per unit?
Answer Choices: (A) $3 (B) $4 (C) $7 (D) $13 (E) $51<|im_end|>
<|im_s... | 9,018 |
<|im_start|>user
The average weight of 6 person's increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg. What might be the weight of the new person?
Answer Choices: (A) 76 kg (B) 80 kg (C) 85 kg (D) Data inadequate (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explana... | 36,460 |
<|im_start|>user
The sum of number of boys and girls in a school is 1150. If the number of boys is x, then the number of girls becomes x% of the total number of students. The number of boys is?
Answer Choices: (A) 50 (B) 40 (C) 60 (D) 92 (E) 70<|im_end|>
<|im_start|>assistant
<think>
</think>
We have x+x% of 1150 = 1... | 18,136 |
<|im_start|>user
What is the maximum value of vx - yz. If the value of v,x,y,z have to be chosen from the set A where A(-3,-2,-1,0,1,2,3)
Answer Choices: (A) 15 (B) 66 (C) 25 (D) 88 (E) 17<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
To maximize the value of vx - yz, we make yz negative and vx as max... | 5,530 |
<|im_start|>user
When anunfaircoin is tossed twice, the probability of getting one tails and one heads is 1/2. What is the probability of getting two heads and two tails if the coin is tossed 4 times?
Answer Choices: (A) 2/3 (B) 1/3 (C) 1/4 (D) 1/6 (E) 1/9<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the prob... | 34,945 |
<|im_start|>user
A retailer sold an appliance for $70. If the retailer's gross profit on the appliance was 25 percent of the retailer's cost for the appliance, how many dollars was the retailer's gross profit?
Answer Choices: (A) $14 (B) $16 (C) $20 (D) $24 (E) $25<|im_end|>
<|im_start|>assistant
<think>
</think>
Gro... | 49,317 |
<|im_start|>user
In a stream running at 2kmph,a motor boat goes 6km upstream and back again to the starting point in 33 minutes.find the speed of the motorboat in still water.
Answer Choices: (A) 22 (B) 24 (C) 26 (D) 28 (E) None of them<|im_end|>
<|im_start|>assistant
<think>
</think>
let the speed of the motarboat i... | 24,618 |
<|im_start|>user
A dealer purchased an article at 3/4 of its list price and sold 50% more than the list price. Find his gain percent?
Answer Choices: (A) 108% (B) 120% (C) 160% (D) 101% (E) 100%<|im_end|>
<|im_start|>assistant
<think>
</think>
MP = 100
CP = 75
SP = 150
------
75 ---- 75
100 ---- ? =>
100%
The answer ... | 13,670 |
<|im_start|>user
In an electric circuit, two resistors with resistances D and E are connected in parallel. In this case, if F is the combined resistance of these two resistors, then the reciprocal of F is equal to the sum of the reciprocals of D and E. What is F in terms of D and E?
Answer Choices: (A) DE/(D + E) (B) ... | 64,612 |
<|im_start|>user
The ratio of the volumes of two cubes is 125 : 1000. What is the ratio of their total surface areas?
Answer Choices: (A) 81 : 121 (B) 9 : 11 (C) 729 : 1331 (D) 1 : 4 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Ratio of the sides = ³√125 : ³√1000 = 5 : 10
Ratio of surface ... | 16,395 |
<|im_start|>user
If M:N is 3:9 and N:P is 9:12 then M:P is equal to
Answer Choices: (A) 1:5 (B) 1:4 (C) 1:6 (D) 1:8 (E) 1:7<|im_end|>
<|im_start|>assistant
<think>
</think>
The two ratios given are having the same number 9 for N in both the ratios.
Hence- M:N = 3:9 N:P = 9:12
=> M:P = 3:12 = > 1:4
The answer is B<|en... | 58,266 |
<|im_start|>user
Action potentials occur whenever a depolarization increases the membrane voltage to a particular value called what?
Answer choice: (A) velocity (B) threshold (C) ohms (D) fraction<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is B<|endoftext|> | 6,573 |
<|im_start|>user
David obtained 74, 65, 82, 67 and 90 marks (out of 100) in English, Mathematics, Physics, Chemistry and Biology. What are his average marks?
Answer Choices: (A) A) 87 (B) B) 99 (C) C) 68 (D) D) 82 (E) E) 76<|im_end|>
<|im_start|>assistant
<think>
</think>
Average = (74 + 65 + 82 + 67 + 90)/5
= 380/5
... | 91,908 |
<|im_start|>user
Groundwater dissolves minerals and carries the ions in a what?
Answer choice: (A) mixture (B) transition (C) solution (D) jet stream<|im_end|>
<|im_start|>assistant
<think>
</think>
Groundwater dissolves minerals and carries the ions in solution.
The answer is C<|endoftext|> | 2,402 |
<|im_start|>user
Find the odd man out. 362, 482, 551, 263, 344, 284
Answer Choices: (A) 362 (B) 482 (C) 551 (D) 344 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
In all numbers except 344, the product of first and third digits is the middle digit.
The answer is D<|endoftext|> | 39,226 |
<|im_start|>user
A shopkeeper sells his goods at cost price but uses a faulty meter that weighs 750 grams. Find the profit percent.
Answer Choices: (A) 100/17% (B) 100/23% (C) 100/19% (D) 100/3% (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
(100 + g) / (100 + x) = True measure / Faul... | 39,082 |
<|im_start|>user
Using all the letters of the word "NOKIA", how many words can be formed, which begin with N and end with A?
Answer Choices: (A) 27 (B) 24 (C) 62 (D) 78 (E) 25<|im_end|>
<|im_start|>assistant
<think>
</think>
There are five letters in the given word.
Consider 5 blanks ....
The first blank and last bla... | 74,844 |
<|im_start|>user
The distance that light travels in one year is approximately 5,870,000,000,000 miles. The distance light travels in 20 years is:
Answer Choices: (A) 111 × 1827 miles (B) 1174× 10^11 miles (C) 346 × 1012 miles (D) 247 × 1012 miles (E) 587 × 1012 miles<|im_end|>
<|im_start|>assistant
<think>
</think>
T... | 30,911 |
<|im_start|>user
A wheel that has 6 cogs is meshed with a larger wheel of 14 cogs. When the larger wheel has made 24 revolutions, then the number of revolutions made by the smaller wheel is:
Answer Choices: (A) 52 (B) 24 (C) 48 (D) 56 (E) 43<|im_end|>
<|im_start|>assistant
<think>
</think>
D
56
Let the required numbe... | 3,308 |
<|im_start|>user
An air conditioner can coo the hall in 10 minutes while another takes 15 minutes to cool under similar conditions. if both air conditioners are switched on at same instance then how long will it take to cool the room?
Answer Choices: (A) 5 minutes (B) 6 minutes (C) 3 minutes (D) 8 minutes (E) 10 minute... | 53,486 |
<|im_start|>user
A batsman makes a score of 66 runs in the 17th inning and thus increases his averages by 3. What is his average after 17th inning?
Answer Choices: (A) 25 (B) 31 (C) 27 (D) 29 (E) 18<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the average after 17 innings = x
Total runs scored in 17 innings =... | 35,586 |
<|im_start|>user
A man sells 45 lemons for Rs 40 and loses 20%. At how much price should he sell 24 lemons to the next customer to make a 20% profit?
Answer Choices: (A) 32 (B) 20 (C) 24 (D) 16 (E) 14<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Let cost price of lemons be x.
Selling price of lemons ... | 27,369 |
<|im_start|>user
The respective ages of father and his son are 44 and 16 years. In how many years will the father be twice as old as his son ?
Answer Choices: (A) 19 years (B) 9 years (C) 10 years (D) 15 years (E) 12 years<|im_end|>
<|im_start|>assistant
<think>
</think>
Suppose x years later the father will be twice... | 33,407 |
<|im_start|>user
A jar contains 5 black and 2 white balls. If you pick two balls at the same time, what's the probability that one ball is black and one is white?
Answer Choices: (A) 2/7 (B) 5/21 (C) 4/21 (D) 3/7 (E) 1/2<|im_end|>
<|im_start|>assistant
<think>
</think>
P(1st black, 2nd white) = 5/7*2/6 = 10/42;
P(1st... | 28,719 |
<|im_start|>user
If n is the smallest integer such that 108 times n is the square of an integer, what is the value of n?
Answer Choices: (A) 2 (B) 3 (C) 6 (D) 12 (E) 24<|im_end|>
<|im_start|>assistant
<think>
</think>
108 can written as = 2 * 2 * 3 * 3 * 3 --> 2^2* 3^3 ---(1)
so for 108 * n to be a square of an ... | 29,143 |
<|im_start|>user
The Italian size of a suit jacket is N centimeters, where N is the linear distance between the armpits when the jacket is laid on a flat surface. The American size of a suit jacket is P inches, where P is twice the linear distance between the armpits when the jacket is laid on a flat surface. If, for a... | 52,519 |
<|im_start|>user
The average of six number is 3.95. The average of two of them is 3.4, while the average of the other two is 3.85. what is the average of the remaining three number ?
Answer Choices: (A) 4.5 (B) 4.6 (C) 4.7 (D) 4.8 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
solution:
Sum of the... | 41,700 |
<|im_start|>user
When waves are reflected at the same angle, what is it called?
Answer choice: (A) field of view (B) refraction (C) phenomenon of reflection (D) angle of reflection<|im_end|>
<|im_start|>assistant
<think>
</think>
Reflected waves have the same speed and frequency as the original waves before they were... | 3,228 |
<|im_start|>user
According to the directions on the can of frozen orange juice concentrate, 1 can of concentrate is to be mixed with 3 cans of water to make orange juice. How many 12 ounces cans of the concentrate are required to prepare 272 6 ounces servings of orange juice?
Answer Choices: (A) a) 25 (B) b) 34 (C) c... | 74,823 |
<|im_start|>user
The yearly compensation of salesperson Y is $4,000 plus 8 percent of the amount by which the total value of the items sold by the store exceeds $250,000. The yearly compensation of salesperson Z is 12 percent of the amount by which the total value of the items sold by the store exceeds $300,000. In the... | 35,349 |
<|im_start|>user
On a baseball team, 11 players including Alice want to play 1st base, 2nd base, or 3rd base. Before every game, the coach chooses a name randomly from a bag and this person plays 1st base. Then the coach chooses the next name randomly and this person plays 2nd base. The coach then chooses a third name ... | 37,493 |
<|im_start|>user
25 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) None of these (B) 600 (C) 12 (D) 24 (E) 42<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
He can go in any bus out of the 25 buses.
Hence He... | 57,291 |
<|im_start|>user
What state of matter takes neither the shape nor the volume of its container?
Answer choice: (A) hot (B) solid (C) gas (D) liquid<|im_end|>
<|im_start|>assistant
<think>
</think>
All three containers contain a substance with the same mass, but the substances are in different states. In the left-hand ... | 6,247 |
<|im_start|>user
John buys good worth Rs. 6650. He gets a rebate of 6% on it. After getting the rebate, he pays sales tax @ 10%. Find the amount he will have to pay for the goods.
Answer Choices: (A) Rs. 6876.10 (B) Rs. 4500 (C) Rs. 4600 (D) Rs. 3400 (E) Rs. 7500<|im_end|>
<|im_start|>assistant
<think>
</think>
Rebat... | 78,667 |
<|im_start|>user
The area of a triangle is with base 4m and height 5m?
Answer Choices: (A) 15 (B) 19 (C) 56 (D) 10 (E) 36<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Area=1/2*b*h
1/2 * 4 * 5 = 10 m^2
The answer is D<|endoftext|> | 55,441 |
<|im_start|>user
Sequence A consists of 16 consecutive integers. If -6 is the least integer in sequence A, what is the range of the positive integers in sequence A?
Answer Choices: (A) 16 (B) 15 (C) 9 (D) 8 (E) 7<|im_end|>
<|im_start|>assistant
<think>
</think>
Since set A consists of 16 consecutive integers and... | 61,430 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Words change in meaning when speakers begin using them in new ways. For example, the word peruse once only meant to examine in detail, but it's now also commonly used to mean to look through in a casual manner.
When a word c... | 258 |
<|im_start|>user
What is the tenth digit of (5!*5! - 5!*3!)/5?
Answer Choices: (A) 1 (B) 2 (C) 0 (D) 6 (E) 7<|im_end|>
<|im_start|>assistant
<think>
</think>
(5!*5! + 5!*3!)/5
=5!(5! + 3!)/5
=120 (120+6)/5
=3024
Units digit of the above product will be equal to 2
The answer is B<|endoftext|> | 6,647 |
<|im_start|>user
The profit obtained by selling an article for Rs. 56 is the same as the loss obtained by selling it for Rs. 42. What is the cost price of the article?
Answer Choices: (A) Rs. 40 (B) Rs. 50 (C) Rs. 49 (D) Rs. 59 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
S.P 1- C.P = C.P – S.P ... | 19,525 |
<|im_start|>user
Mahesh can do a piece of work in 30days. He works at it for 20days and then Rajesh finished it in 30days. How long will Y take to complete the work?
Answer Choices: (A) 90 (B) 25 (C) 37 (D) 41 (E) 30<|im_end|>
<|im_start|>assistant
<think>
</think>
Work done by Mahesh in 30days = 20*1/30 = 2/3
Remain... | 85,009 |
<|im_start|>user
Annie and Sam set out together on bicycles traveling at 15 and 12 km per hour respectively. After 40 minutes, Annie stops to fix a flat tire. If it takes Annie 30 minutes to fix the flat tire and Sam continues to ride during this time, how many minutes will it take Annie to catch up with Sam assuming t... | 72,077 |
<|im_start|>user
What carries small pollen grains farther than they otherwise would go?
Answer choice: (A) humidity (B) steam (C) birds (D) wind<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is D<|endoftext|> | 1,452 |
<|im_start|>user
A started a business with an investment of Rs. 10000 and after 7 months B joined him investing Rs. 12000. If the profit at the end of a year is Rs. 24000, then the share of B is?
Answer Choices: (A) 10000 (B) 8000 (C) 12000 (D) 6000 (E) 14000<|im_end|>
<|im_start|>assistant
<think>
</think>
Ratio of ... | 4,472 |
<|im_start|>user
A professional athlete was offered a three-year contract to play with Team K that provided for an annual salary of $120,000 in the first year, an increase in annual salary of 20% over the previous year for the next two years, and a bonus of $50,000 on signing. Team L offered a three-year contract provi... | 42,945 |
<|im_start|>user
16.02 × 0.001 = ?
Answer Choices: (A) 0.1602 (B) 0.001602 (C) 1.6021 (D) 0.01602 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
16.02 × 0.001 = ?
or,? = 0.01602
The answer is D<|endoftext|> | 15,044 |
<|im_start|>user
A gambler bought $3,000 worth of chips at a casino in denominations of $20 and $100. That evening, the gambler lost 14 chips, and then cashed in the remainder. If the number of $20 chips lost was 2 more or 2 less than the number of $100 chips lost, what is the largest amount of money that the gambler c... | 82,310 |
<|im_start|>user
if price of t.v set is reduced by 25%, then its sale increases by 75%, find net effect on sale value
Answer Choices: (A) 31 (B) 32 (C) 46 (D) 47 (E) 48<|im_end|>
<|im_start|>assistant
<think>
</think>
- a + b + ((-a)(b)/100)
= -25+75+(-25*75)/100
= -25+75-19
=31
The answer is A<|endoftext|> | 79,846 |
<|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... | 3,708 |
<|im_start|>user
By breaking down wastes and remains of dead organisms, decomposers perform what function in an ecosystem?
Answer choice: (A) reproduction (B) symbiosis (C) recycling (D) collecting<|im_end|>
<|im_start|>assistant
<think>
</think>
Most prokaryotes get both energy and carbon from other living things. M... | 643 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
All living things need food and water. Water helps living things break down food and remove waste. Food gives living things energy. Living things use this energy to grow and change. All living things grow and change during t... | 5,467 |
<|im_start|>user
How many bricks each measuring 30cm x 12cm x 10cm, will be needed to build a wall 6m x 4m x 20.5m
Answer Choices: (A) 5655 (B) 1366 (C) 6444 (D) 7266 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
no. of bricks= volume of the wall/volume of 1 brick = (600 x 400 x 20.5... | 66,670 |
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