text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
|---|---|
<|im_start|>user
Twice as many students attend math class compared to people who attend history class. If 2 people began attending history class instead of math class, the ratio of math students to history students would be 1 to 1. How many students total attend these two classes? Hint: No students attend both math and... | 94,398 |
<|im_start|>user
P and Q can do a work in 30 days. Q and R can do the same work in 24 days and R and P in 20 days. They started the work together, but Q and R left after 12 days. How many days more will P take to finish the work?
Answer Choices: (A) 12 (B) 15 (C) 18 (D) 20 (E) 22<|im_end|>
<|im_start|>assistant
<think>... | 45,035 |
<|im_start|>user
A trader has 1600Kg of sugar. He sells a part at 8% profit and the rest at 12% profit. If he gains 11%
on the whole , find the quantity sold at 12%.
Answer Choices: (A) 1200 Kg (B) 1400 Kg (C) 1600 Kg (D) 800 Kg (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
By the r... | 55,229 |
<|im_start|>user
1/0.02 is equal to
Answer Choices: (A) 50 (B) 2.5 (C) 25 (D) .25 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
1/0.02 = (1 * 100)/2 = 100/2 = 50
Option A
The answer is A<|endoftext|> | 89,434 |
<|im_start|>user
The area of a parallelogram is 72 cm^2 and its altitude is twice the corresponding base. What is the length of the base?
Answer Choices: (A) 1 cm (B) 3 cm (C) 6 cm (D) 4 cm (E) 2 cm<|im_end|>
<|im_start|>assistant
<think>
</think>
let base= x cm
height = 2x cm
area = x × 2x=2x^2
area=x × 2x=2x^2
Ar... | 43,307 |
<|im_start|>user
In a river flowing at 2 km/hr, a boat travels 40 km upstream and then returns downstream to the starting point. If its speed in still water be 6 km/hr, find the total journey time.
Answer Choices: (A) 10 hours (B) 12 hours (C) 14 hours (D) 15 hours (E) None of these<|im_end|>
<|im_start|>assistant
<thi... | 52,391 |
<|im_start|>user
For an employee to qualify for early retirement at a certain company, the sum of the employee’s age and years of service must be at least 50, If Sue was K years old when she was hired by the company, what is the minimum age at which she could possibly qualify for early retirement.
Answer Choices: (A) K... | 8,932 |
<|im_start|>user
In triangle PQR, the angle Q = 90 degree, PQ = 4 cm, QR = 8 cm. X is a variable point on PQ. The line through X parallel to QR, intersects PR at Y and the line through Y, parallel to PQ, intersects QR at Z. Find the least possible length of XZ
Answer Choices: (A) 1.2 cm (B) 2.4 cm (C) 4.8 cm (D) 2.16 c... | 24,913 |
<|im_start|>user
There are 750 male and female participants in a meeting. Half the female participants and one-quarterof the male participants are Democrats. One-third of all the participants are Democrats. How many of the Democrats are female?
Answer Choices: (A) 75 (B) 100 (C) 125 (D) 175 (E) 225<|im_end|>
<|im_start... | 51,513 |
<|im_start|>user
A car travells the first 1/3 of certain distance with a speed of 7km/hr the next 1/2 distance witha a speed of 12 km/hr, and the last 1/4 distance with a speed of 16 km/hr. the average speed of the carfor the whole journey is?
Answer Choices: (A) 9.53km/hr (B) 56.89km/hr (C) 8.96km/hr (D) 7.96km/hr (E)... | 13,934 |
<|im_start|>user
7 people average age is 30. youngest person age is 8. find average of the people when youngest was born.
Answer Choices: (A) 23 (B) 24 (C) 25 (D) 22 (E) 27<|im_end|>
<|im_start|>assistant
<think>
</think>
average age of people =30
so have total age =210
before 7 years we have to deduct each person ag... | 89,272 |
<|im_start|>user
In a simultaneous throw of two coins, the probability of getting atleast one headis:
Answer Choices: (A) 1/2 (B) 1/3 (C) 2/3 (D) 3/4 (E) 1/4<|im_end|>
<|im_start|>assistant
<think>
</think>
n(S)=4
E = even getting at least one head
N(E)=3
P(E)=3/4
The answer is D<|endoftext|> | 1,364 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Every object is made of one or more materials. A material is a type of matter. Wood, glass, metal, and plastic are common materials.
A material has different properties. A material's properties tell you how it looks, feels, ... | 3,450 |
<|im_start|>user
Find the odd man out. 1, 16, 81, 255, 625, 1296
Answer Choices: (A) 255 (B) 1296 (C) 81 (D) 1 (E) 625<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
The pattern is 1^4, 2^4, 3^4, 4^4, 5^4, 6^4
Hence, in place of 255, the right digit is 44 = 256
The answer is A<|endoftext|> | 83,183 |
<|im_start|>user
If XY denotes X is raised to the power Y, Find the last two digits of 19413843+ 19614181
Answer Choices: (A) 67 (B) 97 (C) 55 (D) 32 (E) 62<|im_end|>
<|im_start|>assistant
<think>
</think>
1721^3856
unit digit= 1^2=1
10th digit=5*6=30=0 means last two digit =1
and 1982^4181
unit digit=1
10th digit=8*... | 30,622 |
<|im_start|>user
A tap can fill a tank in 16 minutes and another can empty it in 8 minutes. If the tank is already 1/2 full and both the taps are opened together, will the tank be filled or emptied? How long will it take before the tank is either filled completely or emptied completely as the case may be? .
Answer Choi... | 91,302 |
<|im_start|>user
In what proportion water must be added to spirit to gain 20% by selling it at the cost price ?
Answer Choices: (A) 1 : 9 (B) 1 : 1 (C) 1 : 5 (D) 1 : 3 (E) 1 : 4<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the C.P of spirit be = Rs.10 per litre
S.P of the mixture = Rs. 10 per litre
Profit = 2... | 12,922 |
<|im_start|>user
I had 30 donuts when I left home this morning but only 9 when I came back home. What percentage of the donuts are missing?
Answer Choices: (A) 70 (B) 65 (C) 55 (D) 75 (E) 60<|im_end|>
<|im_start|>assistant
<think>
</think>
30 - 9 = 21
21/30 or 7/10
7/10 = 70/100 = 70%
The answer is A<|endoftext|> | 18,961 |
<|im_start|>user
What is the remainder if 7^3 is divided by 100?
Answer Choices: (A) 52 (B) 35 (C) 42 (D) 41 (E) 43<|im_end|>
<|im_start|>assistant
<think>
</think>
7*7*7/100 =343 /100 remainder 43
The answer is E<|endoftext|> | 12,925 |
<|im_start|>user
At present, the ratio between the ages of Arun and Deepak is 4:3. After 6 years, Arun's age will be 38 years. What is the age of Deepak at present?
Answer Choices: (A) 77 years (B) 15 years (C) 66 years (D) 24 years (E) 55 years<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the present ages of... | 4,857 |
<|im_start|>user
Aerobic exercise helps improve the cardiovascular system, while what exercise causes muscles to get bigger and stronger?
Answer choice: (A) endurance (B) skeletal (C) anaerobic (D) enzymatic<|im_end|>
<|im_start|>assistant
<think>
</think>
Aerobic exercise helps improve the cardiovascular system, whi... | 401 |
<|im_start|>user
Like a house, your body has what kind of mechanism that responds to changes in temperature?
Answer choice: (A) external thermostat (B) mechanical thermostat (C) internal thermostat (D) sensitive thermostat<|im_end|>
<|im_start|>assistant
<think>
</think>
For example, your body has an internal thermos... | 8,883 |
<|im_start|>user
Median T of price of the car is 52,000. which could be the median of the other two.
35000, 44000, x, y, 57000.
Answer Choices: (A) 38000 (B) 47000 (C) 48000 (D) 51,000 (E) 56,000<|im_end|>
<|im_start|>assistant
<think>
</think>
Median of the car is 52,000 therefore 52,000 is the middle number. Assumi... | 38,230 |
<|im_start|>user
What is the next number: 2, 10, 82, __
Answer Choices: (A) 630 (B) 730 (C) 830 (D) 848 (E) 900<|im_end|>
<|im_start|>assistant
<think>
</think>
3^0 + 1 = 2
3^2 + 1 = 10
3^4 + 1 = 82
3^6 + 1 = 730
The answer is B<|endoftext|> | 44,334 |
<|im_start|>user
A focus group is currently made up of x red balls and y green balls. If 5 red balls and 4 green balls are added to the group, and if one ball is selected at random from the larger focus group, then what is the probability that a green ball is selected?
Answer Choices: (A) y/x+5 (B) y/x+4 (C) (y+5) /(x+... | 64,763 |
<|im_start|>user
Car A leaves the airport at 9:00 am and travels at a constant rate of 30 km per hour. Car B leaves the airport at 9:30 am and travels in the same direction along the same highway at a constant rate of 34 km per hour. At what time will Car B be 12 km ahead of Car A?
Answer Choices: (A) 3:45 pm (B) 4:00 ... | 49,495 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Figures of speech are words or phrases that use language in a nonliteral or unusual way. They can make writing more expressive.
A euphemism is a polite or indirect expression that is used to de-emphasize an unpleasant topic.... | 1,141 |
<|im_start|>user
If a2 - b2 = 5 and a*b = 2, find a4 + b4.
Answer Choices: (A) 50 (B) 72 (C) 25 (D) 92 (E) 33<|im_end|>
<|im_start|>assistant
<think>
</think>
a2 - b2 = 5 : given
a4 + b4 - 2a2b2 = 52 : square both sides and expand.
a*b = 2 : given
a2b2 = 22 : square both sides.
a4 + b4 - 2(4) = 25 : substitute
a4 + b... | 52,754 |
<|im_start|>user
Johnny travels a total of one hour to and from school. On the way there he jogs at 5 miles per hour and on the return trip he gets picked up by the bus and returns home at 30 miles per hour. How far is it to the school?
Answer Choices: (A) 2 miles (B) 4 miles (C) 4.8 miles (D) 8 miles (E) 6.9 miles<|im... | 94,771 |
<|im_start|>user
How many numbers between 10 - 99 yield a reminder of 8 when divided by 10 and also yield a remainder of 2 when divided by 8?
Answer Choices: (A) One (B) Three (C) Two (D) Five (E) Four<|im_end|>
<|im_start|>assistant
<think>
</think>
Answer = B) Three
Numbers between 10 - 99 giving remainder 8 when d... | 33,498 |
<|im_start|>user
A student got 74% in math and 84% in history. To get an overall average of 75%, how much should the student get in the third subject?
Answer Choices: (A) 61% (B) 63% (C) 65% (D) 67% (E) 69%<|im_end|>
<|im_start|>assistant
<think>
</think>
74 + 84 + x = 3*75
x = 67
The answer is D<|endoftext|> | 35,913 |
<|im_start|>user
If n = 5^11 – 5, what is the units digit of n?
Answer Choices: (A) 0 (B) 1 (C) 4 (D) 6 (E) 8<|im_end|>
<|im_start|>assistant
<think>
</think>
Always divide the power (incase 11) by 4 and use the remainder as the new power. The question now becomes 5^3 - 5. Now 5^3 has last digit 5. we subtract 5 from... | 22,891 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Formal writing is used for essays, business letters, and reports. The following types of informal language should be avoided in formal writing:
Type | Examples
slang | cool, awesome
idioms | knock your socks off
conversation... | 6,398 |
<|im_start|>user
The energy in sunlight is also known as what kind of energy?
Answer choice: (A) kinetic energy (B) solar energy (C) potential energy (D) geothermal energy<|im_end|>
<|im_start|>assistant
<think>
</think>
The energy in sunlight, or solar energy, can be used to heat homes. It can also be used to produc... | 6,877 |
<|im_start|>user
What is the greatest of 3 consecutive integers whose sum is 30?
Answer Choices: (A) 8 (B) 9 (C) 10 (D) 11 (E) 12<|im_end|>
<|im_start|>assistant
<think>
</think>
30 / 3 = 10
The three numbers are 9, 10, and 11.
The answer is D<|endoftext|> | 64,412 |
<|im_start|>user
A polygon has 54 diagonals. How many sides does it have?
Self made
Answer Choices: (A) 12 (B) 13 (C) 14 (D) 15 (E) 16<|im_end|>
<|im_start|>assistant
<think>
</think>
The best way to solve this problem is to use the formula: An n sided polygon can have n*(n - 3)/2 diagonals
n*(n - 3)/2 = 54
n*(n... | 27,881 |
<|im_start|>user
When the positive integer k is divided by the positive integer n , the remainder is 13. If k/n = 81.2 , what is the value of n?
Answer Choices: (A) 9 (B) 20 (C) 55 (D) 70 (E) 81<|im_end|>
<|im_start|>assistant
<think>
</think>
Here's an approach that's based on Number Properties and a bit ofbrute for... | 28,377 |
<|im_start|>user
If an article with marked price of $300 is sold at successive discount of 10%,25% and 15%,what is the price the customer has to pay?
Answer Choices: (A) 243 (B) 151 (C) 230 (D) 201 (E) 171<|im_end|>
<|im_start|>assistant
<think>
</think>
discount=0.9*.75*.85=.57
so .57*300=171
The answer is E<|endoft... | 54,326 |
<|im_start|>user
Pressure relationships inspiration (or inhalation) and expiration (or exhalation) are dependent on the differences in pressure between the atmosphere and these?
Answer choice: (A) salts (B) enzymes (C) lungs (D) bones<|im_end|>
<|im_start|>assistant
<think>
</think>
Pressure Relationships Inspiration... | 5,552 |
<|im_start|>user
The decimal 0.1 is how many times greater than the decimal (0.01)^3?
Answer Choices: (A) 10 (B) 10^2 (C) 10^5 (D) 10^8 (E) 10^10<|im_end|>
<|im_start|>assistant
<think>
</think>
0.1 = 10^-1
(0.01)^3 = (10^-2)^3 = 10^-6
10^5 * 10^-6 = 10^-1
The answer is C<|endoftext|> | 94,616 |
<|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 0.4, what is the probability that Malachi will return home at the end of the day on the fol... | 81,699 |
<|im_start|>user
Jean drew a gumball at random from a jar of pink and blue gumballs. Since the gumball she selected was blue and she wanted a pink one, she replaced it and drew another. The second gumball also happened to be blue and she replaced it as well. If the probability of her drawing the two blue gumballs was 1... | 70,552 |
<|im_start|>user
A man walking at the rate of 5 km/hr crosses a bridge in 15 minutes. The length of the bridge (in metres) is?
Answer Choices: (A) 2267 (B) 1162 (C) 2276 (D) 1250 (E) 1262<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
speed = (5x5/18)m/sec
= 25/18 m/sec.
Distance covered in 15 minutes ... | 9,682 |
<|im_start|>user
Flat 40% discount. a girl buys jacket for 480. what is the marked price?
Answer Choices: (A) 600 (B) 700 (C) 800 (D) 850 (E) 900<|im_end|>
<|im_start|>assistant
<think>
</think>
40% discount.. means buy on 60% Marked price.
then 480 is 60% of the marked price
480/60=8
8 is 1% of marked price
then 8*1... | 71,946 |
<|im_start|>user
If the mean of numbers 28, x, 42, 78 and 104 is 90, then what is the mean of 128, 255, 511, 1023 and x?
Answer Choices: (A) 395 (B) 275 (C) 355 (D) 423 (E) 365<|im_end|>
<|im_start|>assistant
<think>
</think>
The mean of numbers 28, x, 42, 78 and 104 is 62: 28+x+42+78+104=90*5 --> x=198;
So, the mean... | 77,060 |
<|im_start|>user
A die is thrown twice and the sum of the numbers appearing is observed to be 6.
find the conditional probability that the number 4 has appeared at least once?
Answer Choices: (A) 1/5 (B) 2/5 (C) 2/5 (D) 3/5 (E) 3/7<|im_end|>
<|im_start|>assistant
<think>
</think>
Let E be the event that ‘number 4 app... | 38,000 |
<|im_start|>user
A train passes a station platform in 50 sec and a man standing on the platform in 20 sec. If the speed of the train is 54 km/hr. What is the length of the platform?
Answer Choices: (A) 615 m (B) 240 m (C) 168 m (D) 300 m (E) 691 m<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = 54 * 5/18 = 1... | 67,982 |
<|im_start|>user
A train running at the speed of 60 km/hr crosses a pole in 6 seconds. Find the length of the train?
Answer Choices: (A) 100 meter (B) 170 meter (C) 156 meter (D) 168 meter (E) 154 meter<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = 60*(5/18) m/sec
= 50/3 m/sec
Length of Train (Distance)
= ... | 43,993 |
<|im_start|>user
A used-book dealer sells paperback books at 3 times dealer's cost and hardback books at 4 times the dealer's cost. Last week, the dealer sold a total of 140 books, each of which had cost the dealer $1. If the gross profit (sales revenue minus the dealer's cost) on the sale of all of these books was $40... | 41,866 |
<|im_start|>user
Indu gave Bindu Rs.3750 on compound interest for 2 years at 4% per annum. How much loss would Indu has suffered had she given it to Bindu for 2 years at 4% per annum simple interest?
Answer Choices: (A) s.6 (B) s.2 (C) s.5 (D) s.3 (E) s.4<|im_end|>
<|im_start|>assistant
<think>
</think>
3750 = D(100/... | 69,634 |
<|im_start|>user
When positive integer x is divided by positive integer y, the result is 59.32. What is the sum T of all possible 2-digit remainders for x/y?
Answer Choices: (A) 560 (B) 616 (C) 672 (D) 728 (E) 784<|im_end|>
<|im_start|>assistant
<think>
</think>
ans B 616...
remainders = .32=32/100=8/25=16/50 and so ... | 87,972 |
<|im_start|>user
The cost price of 13 articles is equal to the selling price of 11 articles. Find the profit percent?
Answer Choices: (A) 18 2/15 (B) 18 2/11 (C) 18 2/14 (D) 18 2/16 (E) 18 2/12<|im_end|>
<|im_start|>assistant
<think>
</think>
13 CP = 11 SP
11 --- 2 CP
100 --- ? =>18 2/11%.
The answer is B<|endoftext|... | 6,098 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Words are made up of syllables. Two kinds of syllables are closed and open.
A closed syllable has one vowel and ends with a consonant. It usually has a short vowel sound.
desk: short e
kit / ten: short i / short e
An open sy... | 6,267 |
<|im_start|>user
A single discount equivalent to the discount series of 25%, 10% and 5% is?
Answer Choices: (A) 31.6 (B) 31.0 (C) 35.875 (D) 31.1 (E) 31.5<|im_end|>
<|im_start|>assistant
<think>
</think>
100*(75/100)*(90/100)*(95/100)
= 68.4
100 - 64.125 = 35.875
The answer is C<|endoftext|> | 26,101 |
<|im_start|>user
an article with cost price of 320 is sold at 18% profit. what is the selling price?
Answer Choices: (A) 198 (B) 200 (C) 204 (D) 378 (E) 347<|im_end|>
<|im_start|>assistant
<think>
</think>
sp=1.18*320=378
The answer is D<|endoftext|> | 39,051 |
<|im_start|>user
Molly's age in 18 years will be four times her age eighteen years ago. What is Molly's present age?
Answer Choices: (A) 20 (B) 21 (C) 24 (D) 30 (E) 36<|im_end|>
<|im_start|>assistant
<think>
</think>
Let x be Molly's present age.
x + 18 = 4(x-18)
x = 30
The answer is D<|endoftext|> | 21,905 |
<|im_start|>user
The number m is the average (arithmetic mean) of the positive numbers a and b. If m is 75% more than a, then m must be
Answer Choices: (A) 30% less than b (B) 42 6/7% less than b (C) 50% less than b (D) 66 2/3% less than b (E) 75% less than b<|im_end|>
<|im_start|>assistant
<think>
</think>
Say a = 4... | 23,791 |
<|im_start|>user
Europa and titan are names of what kind of celestial objects?
Answer choice: (A) moons (B) galaxies (C) stars (D) asteroids<|im_end|>
<|im_start|>assistant
<think>
</think>
Saturn’s largest moon, Titan, is about one and a half times the size of Earth’s moon. Titan is even larger than the planet Mercu... | 4,109 |
<|im_start|>user
If selling price is doubled, the profit triples. Find the profit percent:
Answer Choices: (A) 200% (B) 500% (C) 100% (D) 450% (E) 800%<|im_end|>
<|im_start|>assistant
<think>
</think>
C
C.P. be Rs. x and S.P. be Rx. y.
Then, 3(y - x) = (2y - x) => y = 2x
Profit = (y - x) = Rs. (2x - x) = Rs. x
Profit... | 8,295 |
<|im_start|>user
The sum of two consecutive numbers is 37. What are they?
Answer Choices: (A) 18 and 19 (B) 18 and 21 (C) 18 and 23 (D) 19 and 20 (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Two consecutive numbers are like 8 and 9, or 51 and 52.
Let x, then, be the first number. Then the number after it... | 48,746 |
<|im_start|>user
Someone on a skateboard is traveling 10 miles per hour. How many feet does she travel in 20 seconds? (1 mile = 5280 feet)
Answer Choices: (A) 292 ft (B) 293.4 ft (C) 295 ft (D) 296 ft (E) 297 ft<|im_end|>
<|im_start|>assistant
<think>
</think>
per second => 10*5280 ft/60*60 =14.67 ft
20 seconds => 14... | 82,487 |
<|im_start|>user
How many zeroes are there at the end of the number N, if N = 60! + 120! ?
Answer Choices: (A) 12 (B) 14 (C) 16 (D) 18 (E) 20<|im_end|>
<|im_start|>assistant
<think>
</think>
The number of zeroes at the end of 60! will be less than the number of zeroes at the end of 120!
Hence it is sufficient to calc... | 9,623 |
<|im_start|>user
An unbiased die is tossed .find the probability of getting a multiple of 3
Answer Choices: (A) 3/7 (B) 4/9 (C) 1/3 (D) 3/5 (E) 2/7<|im_end|>
<|im_start|>assistant
<think>
</think>
Here S={1,2,3,4,5,6}
Let E be the event of getting the multiple of 3
then ,E={3,6}
P(E)=n(E)/n(S)=2/6=1/3
The answer is C... | 20,539 |
<|im_start|>user
A man can row upstream at 5 kmph and downstream at 25kmph, and then find the speed of the man in still water?
Answer Choices: (A) 15 (B) 77 (C) 30 (D) 88 (E) 34<|im_end|>
<|im_start|>assistant
<think>
</think>
US = 5
DS = 25
M = (5 + 25)/2 = 15
The answer is A<|endoftext|> | 13,063 |
<|im_start|>user
Three years ago, the average age of a family of 5 members was 17. A baby having been born, the average age of the family is the same today. What is the age of the child?
Answer Choices: (A) 3 (B) 2 (C) 4 (D) 1 (E) 5<|im_end|>
<|im_start|>assistant
<think>
</think>
Present age of 5 members = 5 x 17 + ... | 16,368 |
<|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... | 3,961 |
<|im_start|>user
Little Texas Drilling Company has three wells, each producing oil at a constant rate. Well A produces one barrel every two minutes. Well B produces one barrel every three minutes. Well C produces one barrel every four minutes. How many hours does it take Little Texas Drilling Company to produce 265 bar... | 4,507 |
<|im_start|>user
Two trains of equal length, running with the speeds of 60 and 40 kmph, take 50 seconds to cross each other while they are running in the same direction. What time will they take to cross each other if they are running in opposite directions?
Answer Choices: (A) 18 sec (B) 17 sec (C) 14 sec (D) 10 sec (... | 50,996 |
<|im_start|>user
Abhishek started a business investing 50,000. After one year he invested another 30,000 and Sudin also joined him with a capital of 70,000. If the profit earned in three years from the starting of business was 87,500, then find the share of Sudin in the profit
Answer Choices: (A) 37,500 (B) 32,500 (C) ... | 38,585 |
<|im_start|>user
The probability of Sam passing the exam is 1/4. The probability of Sam passing the exam and Michael passing the driving test is 1/5. What is the probability of Michael passing his driving test?
Answer Choices: (A) 1/24. (B) 4/5. (C) 1/3. (D) 2/3. (E) 2/5<|im_end|>
<|im_start|>assistant
<think>
</think... | 61,443 |
<|im_start|>user
In how many ways can you line up 7 apples in a row if one of them cannot be in the middle or at the either end?
Answer Choices: (A) 1,790 (B) 52 (C) 2,880 (D) 98 (E) 2,560<|im_end|>
<|im_start|>assistant
<think>
</think>
Since the apple cannot be placed in the middle or at either end (3 spots), then ... | 11,956 |
<|im_start|>user
A fraction bears the same ratio to 1/27 as 3/7 does to 5/9. The fraction is?
Answer Choices: (A) 1/35 (B) 2/35 (C) 3/45 (D) 4/25 (E) 4/27<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the fraction be x. Then,
x:1/27 = 3/7 : 5/9
x × 5/9 = 1/27 × 3/7
x × 5/9 = 1/9 × 1/7
x × 5/9 = 1/63
x × 5 = 9/... | 86,491 |
<|im_start|>user
Two trains of length 100 m and 200 m are 200 m apart. They start moving towards each other on parallel tracks, at speeds 54 kmph and 72 kmph. After how much time will the trains meet?
Answer Choices: (A) 21/9 sec (B) 32/3 sec (C) 20/7 sec (D) 32/3 sec (E) 40/7 sec<|im_end|>
<|im_start|>assistant
<think... | 10,295 |
<|im_start|>user
A hollow iron pipe is 21 cm long and its external diameter is 8 cm. If the thickness of the pipe is 1 cm and iron weighs 8 g/cm3 , then the weight of the pipe is
Answer Choices: (A) 3.6 kg (B) 3.696 kg (C) 36 kg (D) 36.9 kg (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanatio... | 64,676 |
<|im_start|>user
Entry fee in a zoo is $10. Later this was reduced by 50% which increased the sale by 40%. The percentage increase in the number of visitors is?
Answer Choices: (A) 100% (B) 50% (C) 180% (D) 200% (E) 150%<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the total original sale be $1000
Then origin... | 95,003 |
<|im_start|>user
A fort of 3000 soldiers has provisions for 75 days. After 15 days some of them left and the food was now enough for the same period of 75 days as before. How many of them left?
Answer Choices: (A) 500 (B) 550 (C) 600 (D) 650 (E) 700<|im_end|>
<|im_start|>assistant
<think>
</think>
2000 ---- 50
3000 -... | 26,001 |
<|im_start|>user
?% of 360 = 151.2
Answer Choices: (A) 42 (B) 36 (C) 64 (D) 72 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
?% of 360 = 151.2
or, ? = 151.2×100/360=42
The answer is A<|endoftext|> | 58,812 |
<|im_start|>user
A is twice as good a work man as B and together they finish a piece of work in 14 days.The number of days taken by A alone to finish the work is :
Answer Choices: (A) 11 (B) 21 (C) 28 (D) 42 (E) 45<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution
(A’s 1 day’s work): (B’s 1 day’s work)= 2 : 1... | 63,443 |
<|im_start|>user
Find the probability in a group of 10 students sitting in a row , two of them
always sit next to each other
Answer Choices: (A) 0.5 (B) 0.4 (C) 0.3 (D) 0.2 (E) 0.1<|im_end|>
<|im_start|>assistant
<think>
</think>
Assume that these 2 students are 1 and then u can sit is 9! and these 2 students can sit... | 35,212 |
<|im_start|>user
In a certain match all the teams were to play with each other. If there are 15 teams, how many matches will have to be played?
Answer Choices: (A) 120 (B) 105 (C) 110 (D) 90 (E) None of the above<|im_end|>
<|im_start|>assistant
<think>
</think>
15c2
=105
The answer is B<|endoftext|> | 84,355 |
<|im_start|>user
55 word in the arrangement of letter PERFECT?
Answer Choices: (A) CEPFERT (B) CEPFERS (C) CEPFERT (D) CEPFERJ (E) CEPFERG<|im_end|>
<|im_start|>assistant
<think>
</think>
arrange in ascending order CEEFPRT
CEE4*3*2*1=24
CEF4*3*2*1=24
CEPE3*2*1=6
24+24+6=54
next word will be CEPFERT
The answer is A<|e... | 68,857 |
<|im_start|>user
Behind the pupil, a single lens focuses light on a layer of what?
Answer choice: (A) photoreceptors (B) photons (C) chloroplasts (D) electrons<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is A<|endoftext|> | 8,429 |
<|im_start|>user
Two cars are traveling in the same direction along the same route. The red car travels at a constant speed of 10 miles per hour, and the black car is traveling at a constant speed of 50 miles per hour. If the red car is 20 miles ahead of the black car, how many hours will it take the black car to overt... | 73,685 |
<|im_start|>user
If x is a sum of all even integers on the interval 13...65 and y is their number, what is the GCD (x, y)?
Answer Choices: (A) 1 (B) 13 (C) 26 (D) 52 (E) 1014<|im_end|>
<|im_start|>assistant
<think>
</think>
x = 14 + 16 + ... + 64 = (largest + smallest)/2 *(# of terms) = (14 + 64)/2*26 = 39*26.
GCD of... | 78,606 |
<|im_start|>user
A professional janitor can clean a certain high school in (500-20) minutes, working at a constant rate. A student sentenced to detention can clean that same high school in 20 hours, also working at a constant rate. If the student is paid $7 total per hour and the janitor is paid $21 per hour, how much ... | 68,396 |
<|im_start|>user
A survey reveals that the average income of a company’s customers is $45,000 per year. If 50 customers respond to the survey and the average income of the wealthiest 10 of those customers is $65,000, what is the average income of the other 40 customers?
Is there a way to solve this using weighted avera... | 7,297 |
<|im_start|>user
If the average (arithmetic mean) of x + 1, x + 3, and x + 5 is 0, then x =
Answer Choices: (A) –4 (B) –3 (C) –2 (D) –1 (E) 0<|im_end|>
<|im_start|>assistant
<think>
</think>
(x+1 + x+3 + x+5)/3 = 0
=>3x + 9 = 0
=>x = -3
The answer is B<|endoftext|> | 30,793 |
<|im_start|>user
There are two circles of different radii. The are of a square is 784 sq cm and its side is twice the radius of the larger circle. The radius of the larger circle is seven - third that of the smaller circle. Find the circumference of the smaller circle?
Answer Choices: (A) 16 (B) 15 (C) 12 (D) 87 (E) 16... | 19,075 |
<|im_start|>user
A, B and C rents a pasture for Rs.870. A put in 12 horses for 8 months, B 16 horses for 9 months and 18 horses for 6 months. How much should A pay?
Answer Choices: (A) 240 (B) 270 (C) 276 (D) 271 (E) 272<|im_end|>
<|im_start|>assistant
<think>
</think>
12*8 :16*9 = 18*6
8: 12: 9
8/29 * 870 = 240
The ... | 87,336 |
<|im_start|>user
A bottle contains a certain solution. In the bottled solution, the ratio of water to soap is 3:4, and the ratio of soap to salt is four times this ratio. The solution is poured into an open container, and after some time, the ratio of water to soap in the open container is halved by water evaporation. ... | 39,930 |
<|im_start|>user
A group of people were given 2 puzzles. 77% people solved puzzle X and 89% people solved puzzle Y. What is the maximum and minimum percentage of people who could have solved both the puzzles?
Answer Choices: (A) 11%, 0% (B) 77%, 63% (C) 68%, 57% (D) 79%, 68% (E) 89%, 79%<|im_end|>
<|im_start|>assi... | 66,070 |
<|im_start|>user
A shopkeeper first raises the price of Jewellery by x% then he decreases the new price by x%. After such up down cycle, the price of a Jewellery decreased by Rs. 21025. After a second up down cycle the Jewellery was sold for Rs. 484416. What was the original price of the jewellery.2
Answer Choices: (A)... | 39,251 |
<|im_start|>user
In a class, 30% of the students offered English, 20% offered Hindi and 10% offered both. If a student is selected at random, what is the probability that he has offered English and Hindi?
Answer Choices: (A) 2/10 (B) 1/10 (C) 3/10 (D) 2/5 (E) 3/5<|im_end|>
<|im_start|>assistant
<think>
</think>
P(E)=... | 65,943 |
<|im_start|>user
If a, b, and c are distinct positive prime numbers, then (a^3)(b)(c) has how many different positive factors greater than 1?
Answer Choices: (A) a. 3 (B) b. 9 (C) c. 12 (D) d. 15 (E) e. 27<|im_end|>
<|im_start|>assistant
<think>
</think>
Let Number is (a^3)(b)(c) = (1^3)(2)(3) = 6
We can write 6 as p... | 52,938 |
<|im_start|>user
A certain quantity is measured on two different scales, the R scale and the S scale, that are related linearly. Measurements on the R scale of 6 and 24 correspond to the measurements on the S scale of 30 and 60 respectively. What measurement on the R scale corresponds to a measurement of 80 on the S sc... | 62,535 |
<|im_start|>user
An auction house charges a commission of 17% on the first $50,000 of the sale price of an item, plus 10% on the amount of of the sale price in excess of $50,000. What was the price of a painting for which the house charged a total commission of $24,000?
Answer Choices: (A) $115,000 (B) $160,000 (C) $20... | 48,756 |
<|im_start|>user
The diagonals of a rhombus are 15 cm and 12 cm. Find its area?
Answer Choices: (A) 70 (B) 90 (C) 60 (D) 80 (E) 292<|im_end|>
<|im_start|>assistant
<think>
</think>
1/2 * 15 * 12
= 90
The answer is B<|endoftext|> | 89,106 |
<|im_start|>user
A person was asked to subtract 25% of a number from the original but he subtracted 25 from the number. His answer was 25 more than correct one. What was the original number?
Answer Choices: (A) 160 (B) 170 (C) 180 (D) 200 (E) 220<|im_end|>
<|im_start|>assistant
<think>
</think>
25 + 25 = 50
25% -----... | 63,342 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
A simple sentence is a sentence with only one subject and predicate.
The pitcher threw the ball to first base.
A compound sentence is two simple sentences joined by a comma and a conjunction such as and, but, or, or so.
The ... | 1,665 |
<|im_start|>user
In a medium, the closer the distribution of the material gets to what state, the slower the rate of diffusion becomes?
Answer choice: (A) erosion (B) gas (C) elastic (D) equilibrium<|im_end|>
<|im_start|>assistant
<think>
</think>
Each separate substance in a medium, such as the extracellular fluid, ... | 5,885 |
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