text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
|---|---|
<|im_start|>user
Cathy and Jim begin running at the same time and they start at the same place on a straight path. Cathy runs at 10 miles per hour, and Jim runs at 6 miles per hour. After 18 minutes, Cathy stops to stretch. If it takes Cathy 27 minutes to stretch and Jim continues to run during this time, how many minu... | 19,485 |
<|im_start|>user
There are two numbers. If 50% of the first number is added to the second number, then the second number increases to its five-fourth. Find the ratio of the first number to the second number?
Answer Choices: (A) 5/9 (B) 5/7 (C) 5/3 (D) 5/8 (E) 2/1<|im_end|>
<|im_start|>assistant
<think>
</think>
Let t... | 325 |
<|im_start|>user
How many minutes does Aditya take to cover a distance of 400 m, if he runs at a speed of 20 km/hr
Answer Choices: (A) 1 1/5min (B) 2 1/5min (C) 3 1/5min (D) 4 1/5min (E) 5 1/5min<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
We know that,
Time=Distance/Speed
Speed=20 km/hr=20∗5/18m/se... | 995 |
<|im_start|>user
A shopkeeper buys two articles for Rs.1000 each and then sells them, making 50% profit on the first article and 50% loss on second article. Find the net profit or loss percent?
Answer Choices: (A) 500 (B) 768 (C) 276 (D) 280 (E) 279<|im_end|>
<|im_start|>assistant
<think>
</think>
Profit on first art... | 30,817 |
<|im_start|>user
What takes both the shape and the volume of their container?
Answer choice: (A) solids (B) tissues (C) fluids (D) gases<|im_end|>
<|im_start|>assistant
<think>
</think>
Solids have a fixed volume and a fixed shape. Liquids have a fixed volume but take the shape of their container. Gases take both the... | 1,678 |
<|im_start|>user
A basket contains 4 blue, 4 red and 4 yellow marbles. If 4 marbles are extracted from the basket at random, what is the probability that a marble of each color is among the extracted?
Answer Choices: (A) 2/21 (B) 3/25 (C) 1/6 (D) 9/28 (E) 16/55<|im_end|>
<|im_start|>assistant
<think>
</think>
12/12*8... | 17,648 |
<|im_start|>user
Sushil got thrice as many marks in English as in Science. His total marks in English, Science and Maths are 162. If the ratio of his marks in English and Maths is 3:5, find his marks in Science?
Answer Choices: (A) 18 (B) 68 (C) 67 (D) 55 (E) 56<|im_end|>
<|im_start|>assistant
<think>
</think>
S:E = ... | 97,126 |
<|im_start|>user
What is the number in the unit place in (729)59?
Answer Choices: (A) 9 in the unit place. (B) 1 in the unit place. (C) 6 in the unit place. (D) 7 in the unit place. (E) none of these<|im_end|>
<|im_start|>assistant
<think>
</think>
When 729 is multiplied twice, the numbers in the unit place in 1.
In ... | 68,350 |
<|im_start|>user
In what time will a railway train 90 m long moving at the rate of 36 kmph pass a telegraph post on its way?
Answer Choices: (A) 8 sec (B) 1 sec (C) 9 sec (D) 6 sec (E) 2 sec<|im_end|>
<|im_start|>assistant
<think>
</think>
T = 90/36 * 18/5
= 9 sec
The answer is C<|endoftext|> | 85,857 |
<|im_start|>user
What population on earth is already harming the environment due to less resources to go around?
Answer choice: (A) humans (B) whales (C) rats (D) insects<|im_end|>
<|im_start|>assistant
<think>
</think>
Bundles of vascular tissue run through the ground tissue of a stem and transport fluids. Plants ma... | 11,173 |
<|im_start|>user
What type of image is formed when light rays diverge in front of a mirror?
Answer choice: (A) fake (B) large (C) reversed (D) virtual<|im_end|>
<|im_start|>assistant
<think>
</think>
When light rays diverge in front of a mirror, a virtual image is formed. A virtual image is formed by your brain traci... | 6,124 |
<|im_start|>user
What process, which results because of great pressure at the center of a star, causes stars to shine?
Answer choice: (A) gravitational pull (B) nuclear fusion (C) electric fusion (D) energy fusion<|im_end|>
<|im_start|>assistant
<think>
</think>
Stars shine because of nuclear fusion. Fusion reactions... | 10,544 |
<|im_start|>user
Meg and Bob are among the 7 participants in a cycling race. If each participant finishes the race and no two participants finish at the same time, in how many different possible orders can the participants finish the race so that Meg finishes ahead of Bob?
Answer Choices: (A) 24 (B) 30 (C) 2520 (D) 90 ... | 81,080 |
<|im_start|>user
According to the formula F=9/5 (C) +32, if the temperature in degrees Farenheit (F) increases by 29, by how much does the temperature in degrees Celsius (C) increase?
Answer Choices: (A) 9 (B) 15 (C) 47 (D) 48 3/5 (E) 59<|im_end|>
<|im_start|>assistant
<think>
</think>
You can plug in values.
C = 5/9... | 76,643 |
<|im_start|>user
Working alone at its constant rate, machine A produces x boxes in 10 minutes and working alone at its constant rate, machine B produces 2x boxes in 5 minutes. How many minutes does it take machines A and B, working simultaneously at their respective constant rates, to produce 10x boxes?
Answer Choices:... | 66,330 |
<|im_start|>user
On a purchase of $112, a store offered a payment plan consisting of a $12 down payment and 12 monthly payments of $10 each. What percent of the purchase price, to the nearest tenth of a percent, did the customer pay in interest by using this plan?
Answer Choices: (A) 10.7% (B) 11.7% (C) 12.7% (D) 13.7%... | 79,893 |
<|im_start|>user
A father purchased dress for his 3 daughters. The dresses are of same color but diff size and they are kept in dark room. what is probability that all the 3 will not choose their own dress?
Answer Choices: (A) 22 (B) 87 (C) 29 (D) 26 (E) 191<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer... | 9,928 |
<|im_start|>user
Exactly 3/7 of the people in the room are under the age of 21, and exactly 5/8 of the people in the room are over the age of 65. If the total number of the people in the room is greater than 50 and less than 100, how many people in the room are under the age of 21?
Answer Choices: (A) 24 (B) 35 (C) 39 ... | 55,748 |
<|im_start|>user
A rower can row upstream at 7 km/hr and downstream at 15 km/hr. What is the rower's rate in still water?
Answer Choices: (A) 9 km/hr (B) 10 km/hr (C) 11 km/hr (D) 12 km/hr (E) 13 km/hr<|im_end|>
<|im_start|>assistant
<think>
</think>
The rate in still water is 1/2 * (15 + 7) = 11 km/hr
The answer is ... | 77,942 |
<|im_start|>user
What is an electrically neutral compound with positive and negative ions?
Answer choice: (A) correlated compound (B) ionic compound (C) isotope (D) neutralized molecule<|im_end|>
<|im_start|>assistant
<think>
</think>
Most of the rocks and minerals that make up the Earth’s crust are composed of posit... | 2,046 |
<|im_start|>user
During a clearance sale, a retailer discounted the original price of its TVs by 25% for the first two weeks of the month, then for the remainder of the month further reduced the price by taking 20% off the sale price. For those who purchased TVs during the last week of the month, what percent of the or... | 42,885 |
<|im_start|>user
To fill a tank, 25 buckets of water is required. How many buckets of water will be required to fill the same tank if the capacity of the bucket is reduced to 7/10 of its present?
Answer Choices: (A) 61.5 (B) 60.5 (C) 63.5 (D) 35.71429 (E) 64.5<|im_end|>
<|im_start|>assistant
<think>
</think>
Let capa... | 52,990 |
<|im_start|>user
A fruit drink is made of grapefruit, lemon, and orange juice, where 25 percent of the drink is grapefruit juice and 35 percent is lemon juice. If the drink is made with 20 ounces of orange juice, how many ounces is the drink total?
Answer Choices: (A) 60 (B) 80 (C) 50 (D) 100 (E) 40<|im_end|>
<|im... | 57,432 |
<|im_start|>user
Seven people went to a restaurant for dinner. Six of them spent $9 each on their meals and the seventh person spent $12 more than the average expenditure of all seven people. What was the total amount of money that the seven people spent?
Answer Choices: (A) $71 (B) $73 (C) $75 (D) $77 (E) $79<|im_end|... | 91,069 |
<|im_start|>user
If a and b are unique prime integers, which of the following must be odd?
Answer Choices: (A) a−b (B) 2a+2b (C) 2a−2b (D) 2a / 2b (E) ab^2<|im_end|>
<|im_start|>assistant
<think>
</think>
Any number multiplied by 2 has to be an even number. hence
The answer is A<|endoftext|> | 96,276 |
<|im_start|>user
A rectangle the length of which is 8 inches and the width of which is 6 inches is made up 48 1 inch by 1 inch squares. Through how many of the squares does a diagonal of the rectangle pass?
Answer Choices: (A) 6 (B) 8 (C) 10 (D) 12 (E) 16<|im_end|>
<|im_start|>assistant
<think>
</think>
1)If the two ... | 58,239 |
<|im_start|>user
Two goods trains each 680 m long are running in opposite directions on parallel tracks. Their speeds are 45 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one?
Answer Choices: (A) 228 (B) 65.28 (C) 48.32 (D) 27 (E) 21.1<|im_end|>
<|im_start|>as... | 24,131 |
<|im_start|>user
As part of her MBA program, Karen applied for three different Spring Break outreach projects, each of which selects its students by a random lottery of its applicants. If the probability of her being accepted to each individual project is 30%, what is the probability that Karen will be accepted to at l... | 64,236 |
<|im_start|>user
Natasha climbs up a hill, and descends along the same way she went up. It takes her 4 hours to reach the top and 2 hours to come back down. If her average speed along the whole journey is 4 kilometers per hour, what was her average speed (in kilometers per hour) while climbing to the top?
Answer Choice... | 78,022 |
<|im_start|>user
If the price of a computer were reduced by 14 percent, which of the following could not be the final price of the computer? (Assume initial price to be integer in cents)
Answer Choices: (A) $844.10 (B) $894.40 (C) $1,053.50 (D) $1,135.20 (E) $1,259.90<|im_end|>
<|im_start|>assistant
<think>
</think>
... | 21,858 |
<|im_start|>user
A is thrice as good a workman as B and takes 10 days less to do a piece of work than B takes. B alone can do the whole work in
Answer Choices: (A) 15days (B) 10days (C) 9days (D) 8days (E) 7days<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Ratio of times taken by A and B = 1:3
Means ... | 18,563 |
<|im_start|>user
The ratio of sodium chloride to ammonium in 100 kg of mixed ammonium normally used by three chemists is 3: 14. The amount of sodium chloride to be added to 100 kg of mixed ammonium to make the ratio 9 :25 is
Answer Choices: (A) 12 kg (B) 6.625 kg (C) 6.25 kg (D) 6.35 kg (E) 6.55 kg<|im_end|>
<|im_start... | 31,441 |
<|im_start|>user
A number when divided by 296 leaves 75 as remainder when the same number is divided by 37 then the remainder will be?
Answer Choices: (A) 2 (B) 9 (C) 6 (D) 5 (E) 1<|im_end|>
<|im_start|>assistant
<think>
</think>
let x=296q+75=(37*8q+37*2)+1
37*(8q+2)+1
thus when the number is divided by 37 the remai... | 25,458 |
<|im_start|>user
John is facing very difficult financial times and can only pay the interest on a $10,000 loan he has taken. The bank charges him a quarterly compound rate of 10%. What is the approximate interest he pays annually?
Answer Choices: (A) 4000 (B) 9500 (C) 2500 (D) 2000 (E) 4500<|im_end|>
<|im_start|>assist... | 78,024 |
<|im_start|>user
What can human facial expressions communicate?
Answer choice: (A) emotions (B) behaviors (C) ideas (D) theories<|im_end|>
<|im_start|>assistant
<think>
</think>
Human facial expressions can communicate a range of emotions.
The answer is A<|endoftext|> | 6,699 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
When writing, make sure to avoid vague pronoun references. A vague pronoun reference occurs when a pronoun could refer to more than one possible antecedent.
When Lisa and Kim finally landed, she breathed a sigh of relief.
Th... | 3,604 |
<|im_start|>user
A number is trebled and 10 is subtracted. If the resultant is divided by 5, it becomes 35. What is that number?
Answer Choices: (A) 73.5 (B) 185/3 (C) 155/3 (D) None of these (E) Cannot be determined<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution
Let the number be x.
Then, (3x - 10)/5 ‹=› ... | 19,983 |
<|im_start|>user
The tensor fascia latae acts as what, in relation to the gluteus medius and iliopsoas, for the purpose of flexing and abducting the thigh?
Answer choice: (A) spicule (B) synergist (C) antagonist (D) symbiotic<|im_end|>
<|im_start|>assistant
<think>
</think>
The tensor fascia latae is a thick, squaris... | 8,973 |
<|im_start|>user
A boat can move upstream at 25 kmph and downstream at 35 kmph, then the speed of the current is?
Answer Choices: (A) 5 (B) 6 (C) 7 (D) 54 (E) 3<|im_end|>
<|im_start|>assistant
<think>
</think>
US = 25
DS = 35
M = (35 - 25)/2 = 5.
The answer is A<|endoftext|> | 28,754 |
<|im_start|>user
In how many different ways can 3 girls and 3 boys be seated at a rectangular table that has 3 chairs on one side and 3 stools on the other side, if two girls or two boys can never sit side by side?
Answer Choices: (A) 24 (B) 36 (C) 72 (D) 84 (E) 96<|im_end|>
<|im_start|>assistant
<think>
</think>
The... | 8,293 |
<|im_start|>user
A train covers a distance of 20 km in 10 minutes. If its speed is decreased by 10 km/hr, the time taken by it to cover the same distance will be?
Answer Choices: (A) 20min 15sec (B) 11min 30sec (C) 15min 20sec (D) 12min 10sec (E) 9min 30sec<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = 20*... | 47,501 |
<|im_start|>user
A train travels from Albany to Syracuse, a distance of 100 miles, at the average rate of 50 miles per hour. The train then travels back to Albany from Syracuse. The total travelling time of the train is 5 hours . What was the average rate of speed of the train on the return trip to Albany?
Answer Choic... | 71,178 |
<|im_start|>user
During a special promotion, a certain filling station is offering a 10 percent discount on gas purchased after the first 10 gallons. If Kim purchased 15 gallons of gas, and Isabella purchased 25 gallons of gas, then Isabella‟s total per-gallon discount is what percent of Kim‟s total per-gallon discount... | 50,257 |
<|im_start|>user
One drier dries certain quantity of material in 24 minutes. Another drier does the same work in 2 minutes how much time will it take to do the same job when both driers are put to work ?
Answer Choices: (A) 1.00 minutes (B) 1.20 minutes (C) 1.50 minutes (D) 1.85 minutes (E) 2.00 minutes<|im_end|>
<|im_... | 39,685 |
<|im_start|>user
A batsman scored 110 runs which included 3 boundaries and 8 sixes. What percent of his total score did he make by running between the wickets?
Answer Choices: (A) 10 % (B) 9/2 % (C) 8/4 % (D) 6/12 % (E) 45 5/11 %<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Number of runs made by run... | 28,629 |
<|im_start|>user
Find (7x + 6y ) / (x-2y) if x/2y = 3/2 ?
Answer Choices: (A) 24 (B) 25 (C) 26 (D) 27 (E) 29<|im_end|>
<|im_start|>assistant
<think>
</think>
x/2y=3/2
=>x=6y/2=3y
=>(7x+6y)/(x-2y)=((7*(3y))+6y)/(3y-2y)
=>27y/y=27
The answer is D<|endoftext|> | 76,819 |
<|im_start|>user
There are four members in a family. Their average income is Rs.10000 per month. Three members get Rs.8000, Rs.15000, Rs.6000 respectively. Therefore what is the income of the fourth member of the family?
Answer Choices: (A) Rs. 10000 (B) Rs. 11000 (C) Rs. 12000 (D) Rs. 9000 (E) Rs. 8500<|im_end|>
<|im_... | 45,041 |
<|im_start|>user
A square, with perimeter 80, is inscribed in a circle. What is the area of the circle?
Answer Choices: (A) 400π (B) 200π (C) 250π (D) 300π (E) 150π<|im_end|>
<|im_start|>assistant
<think>
</think>
Area of circuscribed circle = pi/2*area of square
Area of square = (80/4)^2 = 20^2= 400
Area of circle =... | 41,876 |
<|im_start|>user
A bicyclist travels uphill from town A to town B for 2 hours at an average speed of 4 miles per hour and returns along the same road at an average speed of 5 miles per hour. What is the bicyclist’s average speed for the round trip, in miles per hour?
Answer Choices: (A) (a) 24/5 (B) (b) 5 (C) (c) 40... | 17,185 |
<|im_start|>user
The ratio of the number of ladies to gents at a party was 1:2 but when 2 ladies and 2 gents left, the ratio became 1:3. How many people were at the party originally?
Answer Choices: (A) 22 (B) 18 (C) 12 (D) 66 (E) 99<|im_end|>
<|im_start|>assistant
<think>
</think>
x, 2x
(x-2):(2x-2) = 1:3
3x-6 = 2x-... | 40,003 |
<|im_start|>user
If A and B are in the ratio 3:4, and B and C in the ratio 12:13, then A and C will be in the ratio
Answer Choices: (A) 3:13 (B) 9:13 (C) 36:13 (D) 13:9 (E) none<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution: (A/B)*(B/C) = (3/4)*(12/13);
Or, A/B = 36/39 = 9:13.
The answer is B<|endoftext|> | 23,611 |
<|im_start|>user
A bag contains 2 red, 3 green and 2 yellow balls. Two balls are drawn at random. What is the probability that none of the balls drawn is yellow?
Answer Choices: (A) 10/15 (B) 10 (C) 11 (D) 10/21 (E) 10/23<|im_end|>
<|im_start|>assistant
<think>
</think>
Total number of balls = (2 + 3 + 2) = 7.
Let S ... | 32,131 |
<|im_start|>user
Look at this series: 1000, 200, 40, ... What number should come next?
Answer Choices: (A) 8 (B) 10 (C) 15 (D) 20 (E) 25<|im_end|>
<|im_start|>assistant
<think>
</think>
1000/5=200
200/5=40
40/5=8
The answer is A<|endoftext|> | 21,102 |
<|im_start|>user
A computer manufacturer produces a certain electronic component at a cost of $80 per component. Shipping costs for delivering the components are $4 per unit. Further, the manufacturer has costs of $16,500 a month related to the electronic component regardless of how many it produces. If the manufacture... | 44,072 |
<|im_start|>user
In how many ways can a committee consisting of 4 men and 5 women be formed from a group of 7 men and 8 women?
Answer Choices: (A) 7C4 8C5 (B) 4C7 5C8 (C) 7C5 8C4 (D) 9C4 7C5 (E) NONE<|im_end|>
<|im_start|>assistant
<think>
</think>
Group consisting of 7 men and 8 women
4 men can be selected from 7 me... | 90,141 |
<|im_start|>user
The ratio of two numbers is 3 : 4 and their H.C.F. is 3. Their L.C.M. is
Answer Choices: (A) 48 (B) 22 (C) 56 (D) 27 (E) 36<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Let the numbers be 3x and 4x. Then, their H.C.F. = x. So, x = 3.
So, the numbers 9 and 12.
L.C.M. of 9 and 12 = 36.... | 47,359 |
<|im_start|>user
The average weight of 8 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) 85 kg (B) 87 kg (C) 90 kg (D) 91 kg (E) 93 kg<|im_end|>
<|im_start|>assistant
<think>
</think>
Total weight increased = ... | 16,799 |
<|im_start|>user
From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there in the committee. In how many ways can it be done?
Answer Choices: (A) 650 (B) 656 (C) 756 (D) 760 (E) 780<|im_end|>
<|im_start|>assistant
<think>
</think>
From a group of 7 men and... | 69,560 |
<|im_start|>user
The number of waves that pass a fixed point in a given amount of time is called what?
Answer choice: (A) wavelength of a wave (B) spectroscopy of a wave (C) frequency of a wave (D) spread of a wave<|im_end|>
<|im_start|>assistant
<think>
</think>
A photon isn’t a fixed amount of energy. Instead, the ... | 8,888 |
<|im_start|>user
Find out the C.I on Rs.5000 at 4% p.a. compound half-yearly for 1 1/2 years.
Answer Choices: (A) Rs.420.20 (B) Rs.319.06 (C) Rs.306.04 (D) Rs.294.75 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
A = 5000(51/50)3
= 5306.04
5000
-----------
306.04
The answer is C<|endo... | 31,520 |
<|im_start|>user
The average of first five prime numbers greater than 20 is?
Answer Choices: (A) 32.2 (B) 32.98 (C) 32.3 (D) 32.8 (E) 32.4<|im_end|>
<|im_start|>assistant
<think>
</think>
23 + 29 + 31 + 37 + 41
= 161/5
= 32.2
The answer is A<|endoftext|> | 82,093 |
<|im_start|>user
which of the following options is the correct value of b, given the equation b^(-2) +b^3 = 64.1?
Answer Choices: (A) 2 (B) 1 (C) 3 (D) 7 (E) 4<|im_end|>
<|im_start|>assistant
<think>
</think>
Plugging in the various option into the equation to find out which is correct:
b^(-2)+b^3 = 64.1
4^(-2)+4^3
T... | 31,721 |
<|im_start|>user
Income and expenditure of a person are in the ratio 5 : 4. If the income of the person is Rs. 17000, then find his savings?
Answer Choices: (A) 3600 (B) 3400 (C) 3608 (D) 3602 (E) 3603<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the income and the expenditure of the person be Rs. 5x and Rs. ... | 91,705 |
<|im_start|>user
A cylindrical can has a radius of 3 centimeters and a height of 12 centimeters. What is the area, in square centimeters, of a rectangular label that completely covers the curved surface of the can without over-lapping?
Answer Choices: (A) 16 pi (B) 72 pi (C) 96 pi (D) 192 pi (E) 576 pi<|im_end|>
<|im_s... | 72,901 |
<|im_start|>user
If two times of the daughter’s age in years is included to the mother’s age, the total is 70 and if two times of the mother’s age is included to the daughter’s age, the total is 95. So the Mother’s age is,
Answer Choices: (A) 30 (B) 40 (C) 50 (D) 60 (E) 39<|im_end|>
<|im_start|>assistant
<think>
</thi... | 80,785 |
<|im_start|>user
There are three vessels of equal capacity .Vessel A contains Milk and water in the ratio 7:3 ;Vessel B contains Milk and water in the ratio 2:1 and Vessel C contains Milk and water in the ratio 3:2 .If the mixture in all the three vessels is mixed up.What will be the ratio of milk and water ?
Answer Ch... | 65,013 |
<|im_start|>user
n is a whole number which when divided by 4 gives 3 as remainder. What will be the remainder when 2n is divided by 4 ?
Answer Choices: (A) 2 (B) 4 (C) 7 (D) 9 (E) 11<|im_end|>
<|im_start|>assistant
<think>
</think>
Let n = 4q + 3. Then 2n = 8q + 6 = 4(2q + 1 ) + 2.
Thus, when 2n is divided by 4, the ... | 11,192 |
<|im_start|>user
What is the probability of getting a sum 9 from two throws of a dice?
Answer Choices: (A) 1/6 (B) 1/8 (C) 1/9 (D) 1/12 (E) 1/7<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
In two throws of a dice, n(S) = (6 x 6) = 36.
Let E = event of getting a sum ={(3, 6), (4, 5), (5, 4), (6, 3)}.
... | 80,993 |
<|im_start|>user
R and B are integers. The expression (R+1)(B+1) is even. What can be said about R and B?
Answer Choices: (A) They are both even numbers. (B) At least one of them is even. (C) At least one of them is odd. (D) They are both odd. (E) Nothing can be said surly on R and B<|im_end|>
<|im_start|>assistant
<th... | 68,908 |
<|im_start|>user
If x^2 − 2x − 15 = (x + r)( x + s) for all values of x, and if r and s are constants, then which of the following is a possible value of r + s?
Answer Choices: (A) 8 (B) 2 (C) − 2 (D) − 3 (E) − 5<|im_end|>
<|im_start|>assistant
<think>
</think>
We know that given ax^2 + bx + c = 0, Sum of the roots =... | 7,259 |
<|im_start|>user
A sum of money amounts to Rs. 9800 after 5 years and Rs. 12005 after 8 years at the same rate of simple interest. The rate of interest per annum is
Answer Choices: (A) 33 (B) 77 (C) 12 (D) 88 (E) 91<|im_end|>
<|im_start|>assistant
<think>
</think>
S.I. for 3 years = Rs. (12005 - 9800) = Rs. 2205. S.I... | 19,608 |
<|im_start|>user
If the sides of a triangle are 36 cm, 34 cm and 20 cm, what is its area?
Answer Choices: (A) 320 cm2 (B) 360 cm2 (C) 340 cm2 (D) 310 cm2 (E) 300 cm2<|im_end|>
<|im_start|>assistant
<think>
</think>
The triangle with sides 36 cm, 34 cm and 20 cm is right angled, where the hypotenuse is 36 cm.
Area of ... | 85,078 |
<|im_start|>user
A father said to his son, "I was as old as you are at present at the time of your birth." If the father's age is 12 years now, the son's age five years back was:
Answer Choices: (A) 3 years (B) 7 years (C) 1 years (D) 6 years (E) 5 years<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the son's ... | 62,633 |
<|im_start|>user
Of the 700 employees of Company X, 70 percent have been with the company for at least ten years. If y of theselong-termmembers were to retire and no other employee changes were to occur, what value of y would reduce the percent oflong-termemployees in the company to 60 percent ?
Answer Choices: (A) 200... | 12,413 |
<|im_start|>user
A and B together finish a wor in 20 days.They worked together for 15 days and then B left. Afer another 10 days,A finished the remaining work. In how many days A alone can finish the job?
Answer Choices: (A) 30 (B) 40 (C) 50 (D) 60 (E) 70<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
... | 90,953 |
<|im_start|>user
What least value must be assigned to * so that the number 197*5462 is divisible by 9
Answer Choices: (A) 0 (B) 2 (C) 4 (D) 9 (E) 8<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the missing digit be x.
Sum of digits = (1 + 9 + 7 + x + 5 + 4 + 6 +»2) = (34 + x).
For (34 + x) to be divisible by 9... | 8,799 |
<|im_start|>user
Mike took a taxi to the airport and paid $2.50 to start plus $0.25 per mile. Annie took a different route to the airport and paid $2.50 plus $5.00 in bridge toll fees plus $0.25 per mile. If each was charged exactly the same amount, and Annie's ride was 18 miles, how many miles was Mike's ride?
Answer ... | 83,610 |
<|im_start|>user
The probability of a lottery ticket being a prized ticket is 0.2. When 4 tickets are purchased, the probability of winning a prize on atleast one ticket is?
Answer Choices: (A) 0.5907 (B) 0.5904 (C) 0.5902 (D) 0.5901 (E) 0.59023<|im_end|>
<|im_start|>assistant
<think>
</think>
P(winning prize atleast... | 71,447 |
<|im_start|>user
What the name of the disease where some of the alveoli of the lungs fill with fluid so they can no longer exchange gas?
Answer choice: (A) leukemia (B) pneumonia (C) lung cancer (D) emphysema<|im_end|>
<|im_start|>assistant
<think>
</think>
Pneumonia is a disease in which some of the alveoli of the l... | 135 |
<|im_start|>user
Ramesh purchased a refrigerator for Rs. 12500 after getting a discount of 20% on the labelled price. He spent Rs. 125 on transport and Rs. 250 on installation. At what price should it be sold so that the profit earned would be 10% if no discount was offered?
Answer Choices: (A) 34778 (B) 26888 (C) 2899... | 10,594 |
<|im_start|>user
If the numbers 1 to 98 are written on 98 pieces of paper, (one on each) and one piece is picked at random, then What is the probability that the number drawn is neither prime nor composite?
Answer Choices: (A) 1/50 (B) 1/25 (C) 1/98 (D) 1 (E) 2<|im_end|>
<|im_start|>assistant
<think>
</think>
There a... | 85,791 |
<|im_start|>user
Two partners in a business (Carol and Ben) invested $500 and $850 in a business respectively. At the end of the year they made a profit of $250. Find share of each partner?
Answer Choices: (A) $92.59,$157.41 (B) $96.59,$157.41 (C) $92.59,$159.41 (D) $92.59,$127.41 (E) $12.59,$157.41<|im_end|>
<|im_star... | 20,922 |
<|im_start|>user
The average age of 9 men increases by 4 years when two women are included in place of two men of ages 36 and 32 years. Find the average age of the women?
Answer Choices: (A) 78 (B) 26 (C) 52 (D) 54 (E) 56<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
36 + 32 + 9 * 4 = 104/2 = 52
The a... | 91,011 |
<|im_start|>user
Indu gave Bindu Rs.1875 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.10 (B) s.2 (C) s.5 (D) s.3 (E) s.4<|im_end|>
<|im_start|>assistant
<think>
</think>
1875 = D(100... | 38,038 |
<|im_start|>user
The C.P of 15 books is equal to the S.P of 19 books. Find his gain% or loss%?
Answer Choices: (A) 16 2/3% (B) 16 2/8% (C) 16 2/5% (D) 21 1/19% (E) 16 1/3%<|im_end|>
<|im_start|>assistant
<think>
</think>
15 CP = 19 SP
19 --- 4 CP loss
100 --- ? => 21 1/19% loss.
The answer is D<|endoftext|> | 80,288 |
<|im_start|>user
Two numbers are in the ratio 3 : 4. If their L.C.M. is 48. what is sum of the numbers?
Answer Choices: (A) 28 (B) 56 (C) 76 (D) 84 (E) 85<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Let the numbers be 3x and 4x
LCM of 3x and 4x = 12x (Since LCM of 3 and 4 is 12. Hence LCM of 3x and ... | 10,111 |
<|im_start|>user
60 + 5 * 12 / (180/3) = ?
Answer Choices: (A) 60 (B) 120 (C) 13 (D) 61 (E) 50<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
60 + 5 * 12 / (180/3) = 60 + 5 * 12 / (60)
= 60 + (5 * 12)/60 = 60 + 1 = 61.
The answer is D<|endoftext|> | 39,396 |
<|im_start|>user
A toy store regularly sells all stock at a discount of 20% to 40%. If an additional 25% were deducted from the discount price during a special sale, what would be the lowest possible price of a toy costing $16 before any discount?
Answer Choices: (A) $5.60 (B) $7.20 (C) $8.80 (D) $9.60 (E) $15.20<|im_e... | 44,730 |
<|im_start|>user
A sum fetched a total simple interest of $4106.25 at the rate of 9 p.c.p.a. in 5 years. What is the sum?
Answer Choices: (A) $8829 (B) $2840 (C) $6578 (D) $7782 (E) $8927<|im_end|>
<|im_start|>assistant
<think>
</think>
E
8927
Principal
= $100 x 4106.25/9 x 5
= $410625/45
= $8927.
The answer is E<|en... | 55,919 |
<|im_start|>user
With both valves open, the pool will be filled with water in 48 minutes. The first valve alone would fill the pool in 2 hours. If the second valve emits 50 cubic meters of water more than the first every minute, then what is the capacity W of the pool?
Answer Choices: (A) 9000 cubic meters (B) 10500 cu... | 19,114 |
<|im_start|>user
The average age 15 girls of a class is 15 years. Out of these, the average age of 12 girls is 13 years and that of the other 3 girls is 14 years. The age of the 15th girl is?
Answer Choices: (A) 35 (B) 30 (C) 31 (D) 28 (E) 27<|im_end|>
<|im_start|>assistant
<think>
</think>
Age of the 15th girl = 15*... | 26,416 |
<|im_start|>user
What molecules are usually insoluble in water?
Answer choice: (A) polar (B) acids (C) non-polar (D) ions<|im_end|>
<|im_start|>assistant
<think>
</think>
Non-polar molecules are usually insoluble in water.
The answer is C<|endoftext|> | 1,256 |
<|im_start|>user
If Sharon's weekly salary increased by 20 percent, she would earn $600 per week. If instead, her weekly salary were to increase by 15 percent, how much would she earn per week?
Answer Choices: (A) Rs.575 (B) Rs.600 (C) Rs.625 (D) Rs.485 (E) Rs.590<|im_end|>
<|im_start|>assistant
<think>
</think>
Soln... | 59,584 |
<|im_start|>user
Mr. Mukhambo has two numbers and say that their difference, their sum and their product are to one another as 1:7:24. Mukhambo wants to find out whether you can get him the product of those two numbers:
Answer Choices: (A) 24 (B) 6 (C) 48 (D) 12 (E) 18<|im_end|>
<|im_start|>assistant
<think>
</think>
... | 40,301 |
<|im_start|>user
Thefactor countof an integer n greater than 1 is the number of distinct prime factors of n. For example, the factor count of 36 is 2, since 2 and 3 are the distinct prime factors of 36 = 2 x 2 x 3 x 3. For which of the following integers is the factor count greatest R?
Answer Choices: (A) 60 (B) 61 (... | 7,678 |
<|im_start|>user
A company has two models of computers, model M and model N. Operating at a constant rate, a model M computer can complete a certain task in 24 minutes and a model N computer can complete the same task in 12 minutes. If the company used the same number of each model of computer to complete the task in 1... | 44,247 |
<|im_start|>user
If 0.2 of a number is equal to 0.08 of another number, the ratio of the numbers i
Answer Choices: (A) 2 : 3 (B) 2 : 5 (C) 3 : 20 (D) 20 : 3 (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Sol.
0.2A = 0.08 B ⇔ A / B = 0.08 / 0.20 = 8/20 = 2/5
∴ A : B = 2 : 5.
The answer is B<|endoftext|> | 74,326 |
<|im_start|>user
What type of tissue covers the outside of a plant?
Answer choice: (A) porous (B) dermal (C) anterior (D) epidermal<|im_end|>
<|im_start|>assistant
<think>
</think>
Dermal tissue covers the outside of a plant in a single layer of cells called the epidermis. It mediates most of the interactions between... | 4,222 |
<|im_start|>user
An investor bought N shares of company X at $15 per share and N shares of company Y at $20 per share. If a month later the investor sold all the shares at $20 per share and made a profit of $200, then what is the value N?
Answer Choices: (A) 35 (B) 40 (C) 50 (D) 60 (E) 75<|im_end|>
<|im_start|>assistan... | 88,985 |
<|im_start|>user
3 machines a,b,c can be used to produce a product. Machine a will take 60 hours to produce a million units. Machine b is twice as fast as machine a. Machine c takes the same amount of time as machine a and b taken together. How much time will be required to produce a million units if all the three mach... | 83,754 |
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