text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
|---|---|
<|im_start|>user
Set S contains points whose abscissa and ordinate are both natural numbers. Point P, an element in set S has the property that the sum of the distances from point P to the point (8, 0) and the point (0, 12) is the lowest among all elements in set S. How many such points P exist in set S?
Answer Choices... | 579 |
<|im_start|>user
workers decided to raise Rs.3 lacs by equal contribution from each. Had they contributed Rs.50 eachextra, the contribution would have been Rs.3.50 lacs . How many workers were they?
Answer Choices: (A) 220 (B) 230 (C) 500 (D) 560 (E) 1000<|im_end|>
<|im_start|>assistant
<think>
</think>
N * 50 = (350... | 16,936 |
<|im_start|>user
What is the type of reproduction where part of the parent plant is used to generate a new plant?
Answer choice: (A) sexual reproduction (B) coaxed reproduction (C) asexual reproduction (D) byproduct reproduction<|im_end|>
<|im_start|>assistant
<think>
</think>
32.3 Asexual Reproduction Many plants re... | 2,180 |
<|im_start|>user
Two taps can separately fill a cistern 10 minutes and 15 minutes respectively and when the waste pipe is open, they can together fill it in 15 minutes. The waste pipe can empty the full cistern in?
Answer Choices: (A) A) 7 (B) B) 6 (C) C) 8 (D) D) 10 (E) E) 5<|im_end|>
<|im_start|>assistant
<think>
</... | 3,148 |
<|im_start|>user
A man buys Rs. 50 shares in a company which pays 10% dividend.If the man gets 12.5% on his investment,at what price did he buy the shares ?
Answer Choices: (A) Rs. 37.50 (B) Rs. 40 (C) Rs. 48 (D) Rs. 52 (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution
Dividend on 1 share = Rs. (10/1... | 48,880 |
<|im_start|>user
If 3 boys can do 3 times of a particular work in 3 days, then, 7 boys can do 7 times of that work in?
Answer Choices: (A) days (B) days (C) days (D) days (E) days<|im_end|>
<|im_start|>assistant
<think>
</think>
That is, 1 boys can do one time of the work in 3 days.
Therefore, 7 boys can do 7 times w... | 75,483 |
<|im_start|>user
If -3x+4y=28 and 3x-2y=8, what is the product of x and y?
Answer Choices: (A) 264. (B) 428 (C) 464. (D) 622 (E) 642<|im_end|>
<|im_start|>assistant
<think>
</think>
Given -3x+4y=28 ---Eq 1
3x -2y =8 -- Eq 2
Sum both eqns we get 2Y = 36 => Y = 18
Sub 2Y in eq 2 => 3X - 36 = 8.
=> X = 44/3
Now XY = 44/... | 72,086 |
<|im_start|>user
Two years ago, Arthur gave each of his five children 20 percent of his fortune to invest in any way they saw Fit. In the first year, three of the children, Alice, Bob, and Carol, each earned a profit of 50 percent on their Investments, while two of the children, Dave and Errol, lost 40 percent on their... | 63,967 |
<|im_start|>user
Find the time between 5 and 6 o'clock when the two hands of clock are 6 minutes spaces apart.
Answer Choices: (A) 3 2/11 minutes past 5 o'clock (B) 6 6/11 minutes past 5 o'clock (C) 20 8/11 minutes past 5 o'clock (D) 4 2/11 minutes past 5 o'clock (E) 5 2/11 minutes past 5 o'clock<|im_end|>
<|im_start|>... | 70,842 |
<|im_start|>user
If 47. 2506 = 4*A + 7/B + 2*C + 5/D + 6*E, then the value of 5*A + 3*B + 6*C + D + 3*E is :
Answer Choices: (A) 153.6002 (B) 153.6008 (C) 153.6003 (D) 153.6001 (E) 153.6022<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
4*A + 7/B + 2*C + 5/D + 6*E =47.2506
=> 4 * A + 7/B + 2 *C + 5/D +... | 14,255 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
A strong argument uses valid reasoning and logic in support of a claim. When an argument or claim introduces irrelevant information or misrepresents the issues at hand, it may be committing a logical fallacy. Logical fallaci... | 6,096 |
<|im_start|>user
What are steroid hormones made of?
Answer choice: (A) lipids (B) water (C) amino acid (D) organisms<|im_end|>
<|im_start|>assistant
<think>
</think>
Steroid hormones are made of lipids, such as phospholipids and cholesterol. They are fat soluble, so they can diffuse across the plasma membrane of targ... | 4,982 |
<|im_start|>user
Three times the first of three consecutive odd integers is 3 more than twice the third. The third integer is:
Answer Choices: (A) 10 (B) 11 (C) 13 (D) 15 (E) 17<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the three integers be x, x + 2 and x + 4.
Then, 3x = 2(x + 4) + 3 x = 11.
Third integer... | 59,893 |
<|im_start|>user
Mike's age is 48 years. If he is 4 more than twice the age of his son, find the age of his son.
Answer Choices: (A) 20 years (B) 22 years (C) 16 years (D) 18 years (E) 19 years<|im_end|>
<|im_start|>assistant
<think>
</think>
Let Mike's son age be x.
4 + 2 x = 48
x = 22
Hence Mike's son age is 22 yea... | 79,810 |
<|im_start|>user
Human culture is related to evolutionary theory in the discipline of what?
Answer choice: (A) sociobiology (B) astrology (C) psychopathology (D) ethnology<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is A<|endoftext|> | 5,602 |
<|im_start|>user
If t and b are positive numbers, and t^3 + b^3 = 75, then the greatest possible value of t is between:
Answer Choices: (A) 0 and 3 (B) 3 and 5 (C) 4 and 5 (D) 5 and 7 (E) 6 and 9<|im_end|>
<|im_start|>assistant
<think>
</think>
Yes the question is ambiguous, and the answer is certainly not C between ... | 28,955 |
<|im_start|>user
If Tim had lunch at $60.50 and he gave 20% tip, how much did he spend?
Answer Choices: (A) $30.60 (B) $72.60 (C) $70.60 (D) $40.60 (E) $50.60<|im_end|>
<|im_start|>assistant
<think>
</think>
The tip is 20% of what he paid for lunch. Hence
tip = 20% of 60.50 = (20/100)*60.50 = $12.1
Total spent
60.50 ... | 86,176 |
<|im_start|>user
An bus covers a certain distance at a speed of 230 kmph in 5 hours. To cover the samedistance in 1hr, it must travel at a speed of?
Answer Choices: (A) 690 km/hr (B) 720 km/hr (C) 730 km/hr (D) 750 km/hr (E) 760 km/hr<|im_end|>
<|im_start|>assistant
<think>
</think>
Distance = (230 x 5) = 1150 km.
Sp... | 20,133 |
<|im_start|>user
If 0 < p < 1 < q< 5, which of the following must be less than 1? I. p/q II. pq III. q - p
Answer Choices: (A) III only (B) II only (C) I only (D) II,III only (E) I,III only<|im_end|>
<|im_start|>assistant
<think>
</think>
q > 1. So, option II, III is not possible.
So, Option I is correct.
The answer ... | 54,865 |
<|im_start|>user
3 candidates in an election and received 1136, 7636 and 11628 votes respectively. What % of the total votes did the winningcandidate got in that election?
Answer Choices: (A) 45% (B) 47% (C) 57% (D) 60% (E) 62%<|im_end|>
<|im_start|>assistant
<think>
</think>
Total number of votes polled = (1136 + 76... | 30,395 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
An allusion is a brief mention of something or someone well known, often from mythology, history, or literature. An allusion lets you reference ideas from an entire story in just a few words.
"I'd better get home before I tu... | 2,555 |
<|im_start|>user
If a sum of Rs.17,100 is divided between, A and B in the ratio 4:5, how much amount would A get ?
Answer Choices: (A) 9500 (B) 6700 (C) 7600 (D) 7900 (E) 9700<|im_end|>
<|im_start|>assistant
<think>
</think>
A = 17100 × 4 / 9 = Rs.7600
B = 17100 × 5 /9 = Rs.9500
Option A
The answer is A<|endoftext|> | 84,767 |
<|im_start|>user
If (12z)/(5 - 6x/y) = 4z then which of the following is true?
Answer Choices: (A) 2x = 3y (B) 3x = 2y (C) x = 3y (D) 3x = y (E) 2x = y<|im_end|>
<|im_start|>assistant
<think>
</think>
(12z)/(5 - 6x/y) = 4z
=> 12zy/(5y - 6x) = 4z
=> 3y/(5y -6x) = 1
=> 3y = 5y - 6x
=> -2y = -6x
=> y = 3x
Hence
The answ... | 78,005 |
<|im_start|>user
A certain kind of necklace is made from 9 yellow, 6 blue, and 3 silver beads. What is the maximum number of these necklaces that can be made from 63 beads of each color ?
Answer Choices: (A) 7 (B) 6 (C) 5 (D) 4 (E) 3<|im_end|>
<|im_start|>assistant
<think>
</think>
Atleast 9 yellow breads are needed ... | 71,512 |
<|im_start|>user
what is next no. 11 23 47 83 131 191 ???
Answer Choices: (A) 263 (B) 181 (C) 191 (D) 201 (E) 211<|im_end|>
<|im_start|>assistant
<think>
</think>
11+12*1=23
23+12*2=47
47+12*3=83
83+12*4=131
131+12*5=191
191+ 12*6=263
A
The answer is A<|endoftext|> | 25,230 |
<|im_start|>user
Thurston wrote an important seven-digit phone number on a napkin, but the last three numbers got smudged. Thurston remembers only that the last three digits contained at least one zero and at least one non-zero integer. If Thurston dials 15 phone numbers by using the readable digits followed by 15 diff... | 44,029 |
<|im_start|>user
How many different sections of 4 books can be made from 10 different books if two particular books are never selected.
Answer Choices: (A) 80 (B) 40 (C) 60 (D) 50 (E) 70<|im_end|>
<|im_start|>assistant
<think>
</think>
If two particular books are never selected. This me
The answer is E<|endoftext|> | 84,259 |
<|im_start|>user
5 cards have to be put into their 5 respective envelopes. If the letters are inserted randomly into the envelopes, what is the probability that all the cards go into their respective envelopes?
Answer Choices: (A) 1/30 (B) 1/60 (C) 1/240 (D) 1/120 (E) 3/5<|im_end|>
<|im_start|>assistant
<think>
</thin... | 70,382 |
<|im_start|>user
Find the odd man out
385, 462, 572, 427, 671, 264
Answer Choices: (A) 385 (B) 427 (C) 671 (D) 264 (E) 462<|im_end|>
<|im_start|>assistant
<think>
</think>
add 1st and 3rd term nd get mid term
3+5 = 8
4+2 = 6
5+2 = 7
4+7 = 11
6+1 = 7
2+4 = 6
The answer is B<|endoftext|> | 26,906 |
<|im_start|>user
Two out of five employees are capable of doing a certain task. Sixty percent of the five employees, including the two who are capable, are assigned to a project involving this task. what percentage of employees assigned to the project are not capable?
Answer Choices: (A) 43.33% (B) 33.33% (C) 13.33% (D... | 91,811 |
<|im_start|>user
In a deck of cards there are 52 cards numbered from 1 to 13. There are 6 cards of each number in the deck. If you insert 12 more cards with the number 10 on them and you shuffle the deck really good, what is the probability to pull out a card with a number 10 on it?
Answer Choices: (A) 1/4. (B) 4/17. (... | 78,106 |
<|im_start|>user
How many different possible arrangements S can be obtained from the letters G, M, A, T, I, I, and T, such that there is at least one character between both I's?
Answer Choices: (A) 360 (B) 720 (C) 900 (D) 1800 (E) 5040<|im_end|>
<|im_start|>assistant
<think>
</think>
Total ways for arranging without ... | 89,503 |
<|im_start|>user
Mike needs 30% to pass. If he scored 212 marks and falls short by 13 marks, what was the maximum marks he could have got?
Answer Choices: (A) 343 (B) 377 (C) 750 (D) 367 (E) 232<|im_end|>
<|im_start|>assistant
<think>
</think>
If Mike had scored 13 marks more, he could have scored 30%
Therefore, Mike... | 10,392 |
<|im_start|>user
If P = Q-R, -1 < R < 0 and Q=0, which of the following is correct?
Answer Choices: (A) P < -1. (B) 0 < P <2 (C) P > 0 (D) 0 < P <4 (E) P < -20<|im_end|>
<|im_start|>assistant
<think>
</think>
Q is 0 & R is -ve
For min. value max. numerator and minimize denominator
take Q=0 & R=-0.9
P=0-(-0.9)
P > 0
T... | 4,034 |
<|im_start|>user
By the how much is two-fifth of 400 greater than three -fifths of 150?
Answer Choices: (A) 15 (B) 70 (C) 5 (D) 30 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Reqd no. = 2â„5 × 400 - 3â„5 × 150
= 160 - 90 = 70
The answer is B<|endoftext|> | 52,955 |
<|im_start|>user
A rectangular floor is covered by a rug except fo a strip p meters along each of the four edges. If the floor is m meters by e meteres, What is the area of the rug in square meters?
Answer Choices: (A) mn - p(m+n) (B) mn – 2p(m+n) (C) mn – p^2 (D) (m - p) (n - p) (E) (m - 2p) (e - 2p) <|im_end|>
<|i... | 34,765 |
<|im_start|>user
By selling 50 meters of cloth. I gain the selling price of 20 meters. Find the gain percent?
Answer Choices: (A) 42 7/7% (B) 42 5/8% (C) 42 6/4% (D) 42 6/8% (E) 66 2/3%<|im_end|>
<|im_start|>assistant
<think>
</think>
SP = CP + g
50 SP = 50 CP + 20 SP
30 SP = 50 CP
30 --- 20 CP gain
100 --- ? => 66 2... | 79,331 |
<|im_start|>user
The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero?
Answer Choices: (A) 8 (B) 10 (C) 12 (D) 15 (E) 19<|im_end|>
<|im_start|>assistant
<think>
</think>
Average of 20 numbers = 0.
Sum of 20 numbers (0 x 20) = 0.
It is quite possible that 19 of these numbers may b... | 86,846 |
<|im_start|>user
Raffle tickets numbered consecutively from 1 through 250 are placed in a box. What is the probability that a ticket selected at random will have a number with a hundreds digit of 2 ?
Answer Choices: (A) 2/5 (B) 1/5 (C) 33/83 (D) 99/250 (E) 100/249<|im_end|>
<|im_start|>assistant
<think>
</think>
SOLU... | 67,655 |
<|im_start|>user
What is the only substance on earth that is present in all three states of matter?
Answer choice: (A) mercury (B) air (C) water (D) carbon<|im_end|>
<|im_start|>assistant
<think>
</think>
Water is the only substance on Earth that is present in all three states of matter. This means that water is pres... | 6,286 |
<|im_start|>user
If a continuous cable 10 meters long was marked off at intervals of 1/3 meter and also 1/8 meter, and then if the cable were cut at each mark, how many different size length of cable would result?
Answer Choices: (A) 1 (B) 2 (C) 3 (D) 4 (E) 5<|im_end|>
<|im_start|>assistant
<think>
</think>
In this p... | 63,087 |
<|im_start|>user
A particular library has 75 books in a special collection, all of which were in the library at the beginning of the month. These book are occasionally loaned out through an inter-library program. If, by the end of the month, 65 percent of books that were loaned out are returned and there are 61 books i... | 55,111 |
<|im_start|>user
From the integer n, if n*n*n is odd, then what is true from below options?
Answer Choices: (A) n is odd (B) n*n is even (C) n is odd and n*n is even (D) n is even (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
n is odd and n*n is even
Option C
The answer is C<|endoftext|> | 61,058 |
<|im_start|>user
There are 36 students in a certain geometry class. If one third of the students are boys and three fourths of the boys are under six feet tall, how many boys in the class are under six feet tall?
Answer Choices: (A) 9 (B) 12 (C) 18 (D) 24 (E) 27<|im_end|>
<|im_start|>assistant
<think>
</think>
Total ... | 8,841 |
<|im_start|>user
Which of the following is closer to √0.1+√0.15?
Answer Choices: (A) 0.5 (B) 0.7 (C) 0.9 (D) 1.1 (E) 1.2<|im_end|>
<|im_start|>assistant
<think>
</think>
√0.1+√0.15=approximately √0.09+√0.16=0.3+0.4=0.7 . Hence, the
The answer is B<|endoftext|> | 94,794 |
<|im_start|>user
Anil spends 40% of his income on rent, 30% of the remaining on medicines and 20% of the remaining on education. If he saves Rs. 840 every month, then find his monthly salary?
Answer Choices: (A) 2502 (B) 2528 (C) 2573 (D) 2500 (E) 2503<|im_end|>
<|im_start|>assistant
<think>
</think>
Let's Anil's sal... | 64,391 |
<|im_start|>user
The curved surface of a sphere is 64 π cm2. Find its radius?
Answer Choices: (A) 8 (B) 6 (C) 4 (D) 2 (E) 5<|im_end|>
<|im_start|>assistant
<think>
</think>
4 πr2
= 64
=> r = 4
The answer is C<|endoftext|> | 26,460 |
<|im_start|>user
What method is used to map the earth on flat paper?
Answer choice: (A) calculations (B) forecasts (C) projections (D) surveying<|im_end|>
<|im_start|>assistant
<think>
</think>
Earth is a round, three-dimensional ball. In a small area, Earth looks flat, so it is not hard to make accurate maps of a sm... | 3,750 |
<|im_start|>user
Some plants can detect increased levels of what when reflected from leaves of encroaching neighbors?
Answer choice: (A) light (B) water (C) oxygen (D) air<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is A<|endoftext|> | 549 |
<|im_start|>user
At a supermarket, John spent 1/2 of his money on fresh fruits and vegetables, 1/3 on meat products, and 1/10 on bakery products. If he spent the remaining $5 on candy, how much did John spend at the supermarket?
Answer Choices: (A) $75 (B) $80 (C) $90 (D) $120 (E) $180<|im_end|>
<|im_start|>assist... | 83,383 |
<|im_start|>user
A family made a down payment of $100
and borrowed the balance on a set of
encyclopedias that cost $400. The
balance with interest was paid in 20
monthly payments of $17.2 each and a
final payment of $3. The amount of
interest paid was what percent of the
amount borrowed?
Answer Choices: (A) 6% (B) 12... | 61,712 |
<|im_start|>user
Consider an equilateral triangle 4ABC with unit side length. Let M be the midpoint of side
AB. A ball is released in a straight line from M and bounces o the side BC at a point D.
Then, it bounces o the side CA at a point E and lands exactly at B. By the law of re
ection,
we have \BDM = \CDE and \CED =... | 14,711 |
<|im_start|>user
What is the rate percent when the simple interest on Rs.800 amount to Rs.160 in 3 Years?
Answer Choices: (A) 5% (B) 6.6% (C) 9% (D) 2% (E) 4%<|im_end|>
<|im_start|>assistant
<think>
</think>
160 = (800*3*R)/100
R = 6.6%
The answer is B<|endoftext|> | 95,882 |
<|im_start|>user
If 1+2+3+...+n=n (n+1), then
2 (1+3+5+....+89)=?
Answer Choices: (A) 4100 (B) 4050 (C) 4250 (D) 4350 (E) 4450<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
To solve this use the formula of AP,
Sn= (n/2)(a+l) ................(1)
To find n, use
=> Tn= a+(n-1)d
=> 89=1+(n-1)2
=> n=45
Us... | 79,079 |
<|im_start|>user
Ross has 80 shirts, 3/4 of the shirts are green and 1/10 is without buttons. Therefore Ross has between ___ and ___ shirts with buttons that are not green.
Answer Choices: (A) 12 ; 20. (B) 12 ; 19. (C) 12 ; 18. (D) 12 ; 17. (E) 12 ; 16.<|im_end|>
<|im_start|>assistant
<think>
</think>
Total shirts = ... | 18,713 |
<|im_start|>user
The average salary of a person for the months of January, February, March and April is Rs.8000 and that for the months February, March, April and May is Rs.8300. If his salary for the month of May is Rs.6500, find his salary for the month of January?
Answer Choices: (A) 2177 (B) 2876 (C) 4500 (D) 5300 ... | 90,853 |
<|im_start|>user
What is the opening in the front of the eye?
Answer choice: (A) the macula (B) the iris (C) the pupil (D) the cornea<|im_end|>
<|im_start|>assistant
<think>
</think>
The pupil is an opening in the front of the eye. It looks black because it doesn’t reflect any light. It allows light to enter the eye.... | 5,368 |
<|im_start|>user
Two pipes A and B can fill a tank in 25 hours and 35 hours respectively. If both the pipes are opened simultaneously, how much time will be taken to fill the tank?
Answer Choices: (A) 20 hours (B) 14 6/11 hours (C) 10 hours (D) 12 hours (E) 8 hours<|im_end|>
<|im_start|>assistant
<think>
</think>
Par... | 59,322 |
<|im_start|>user
Today is Monday. A person wants to meet a lawyer and as that lawyer is busy he asks him to come three days after the before day of the day after tomorrow? On which day the lawyer asks the person to come?
Answer Choices: (A) SUNDAY (B) MONDAY (C) TUESDAY (D) WEDNESDAY (E) FRIDAY<|im_end|>
<|im_start|>as... | 51,762 |
<|im_start|>user
If population of certain city increases at the rate of 5%. If population in 1981 was 370440, then population in 1978 was?
Answer Choices: (A) 320000 (B) 120029 (C) 187899 (D) 178968 (E) 789698<|im_end|>
<|im_start|>assistant
<think>
</think>
X * (105/100) * (105/100) * (105/100) = 370440
X = 370440/1... | 46,260 |
<|im_start|>user
The price of commodity X increases by 30 cents every year, while the price of commodity Y increases by 20 cents every year. If in 2001, the price of commodity X was $4.20 and the price of commodity Y was $4.40, in which year will commodity X cost 40 cents more than the commodity Y?
Answer Choices: (A) ... | 62,030 |
<|im_start|>user
A reduction of 25% in the price of oil enables a house wife to obtain 5kgs more for Rs.600, what is the reduced price for kg?
Answer Choices: (A) 30 (B) 60 (C) 70 (D) 80 (E) 20<|im_end|>
<|im_start|>assistant
<think>
</think>
A
600*(25/100) = 150 ---- 5
? ---- 1 => Rs.30
The answer is A<|endoftext|> | 50,375 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Chemical changes and physical changes are two common ways matter can change.
In a chemical change, the type of matter changes. The types of matter before and after a chemical change are always different.
Some chemical change... | 2,847 |
<|im_start|>user
Two men started from the same place walk at the rate of 10kmph and 12kmph respectively. What time will they take to be 20 km apart, if they walk in the same direction?
Answer Choices: (A) 5hours (B) 10hours (C) 8hours (D) 10hours (E) 12hours<|im_end|>
<|im_start|>assistant
<think>
</think>
To be 2km ... | 12,598 |
<|im_start|>user
Two trains are moving at 85 kmph and 70 kmph in opposite directions. Their lengths are 150 m and 100 m respectively. The time they will take to pass each other completely is?
Answer Choices: (A) 5 25/31 sec (B) 7 1/17 sec (C) 7 2/2 sec (D) 8 1/2 sec (E) 7 1/9 sec<|im_end|>
<|im_start|>assistant
<think>... | 67,265 |
<|im_start|>user
If a,b are positive integers and a/b=87.5 which of the following could be the value of b?
Answer Choices: (A) 1. 25 (B) 2. 26 (C) 3. 27 (D) 4. 28 (E) 5. 30<|im_end|>
<|im_start|>assistant
<think>
</think>
Given a/b = 87.75.
this is 87 and 1/2 = 175/2
Since a and b are integers we know that whatever i... | 42,227 |
<|im_start|>user
How many ways can 9 friends be arranged around a circular dinner table?
Answer Choices: (A) 5! (B) 6! (C) 7! (D) 8! (E) 9!<|im_end|>
<|im_start|>assistant
<think>
</think>
The number of ways to order 9 people is 9!
However, around a circular table, each pattern would be repeated 9 times.
So the numbe... | 21,939 |
<|im_start|>user
If n = 8p, where p is a prime number greater than 2, how many different positive even divisors does n have, including n ?
Answer Choices: (A) Two (B) Three (C) Four (D) Six (E) Eight<|im_end|>
<|im_start|>assistant
<think>
</think>
If n = 8p, where p is a prime number greater than 2, how many di... | 24,080 |
<|im_start|>user
What's the term for the period during which women's ovaries stop producing eggs?
Answer choice: (A) menopause (B) puberty (C) maturity (D) adolescence<|im_end|>
<|im_start|>assistant
<think>
</think>
For most women, menstrual cycles continue until their mid- or late- forties. Then women go through me... | 1,114 |
<|im_start|>user
A group of 13 people plan to rent a van and agree to share equally the total cost of the rental, which is E dollars. If n of the people decide not to participate at the last minute, by how many dollars will each remaining person's share of the total cost increase?
Answer Choices: (A) E/(12 - n) (B) ... | 91,065 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Question:
All organisms need food for energy. But how does an organism's body actually get energy out of food?
Select the true statement.
Answer Choices: (A) Cells usually take in large food molecules. (B) Cells use energy... | 4,545 |
<|im_start|>user
A can finish a work in 24 days, B n 9 days and C in 12 days. B&C start the
work but are forced to leave after 3 days. The remaining work done by A in:
Answer Choices: (A) 15 (B) 12 (C) 10 (D) 16 (E) 18<|im_end|>
<|im_start|>assistant
<think>
</think>
(B+C)'s one day's work=1/9+1/12=7/36
Work done by ... | 48,193 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Overall supply is the total amount of a good or service that producers make and sell. There are several things that can make overall supply go up or down. The table below shows how changes to these things might affect overal... | 2,854 |
<|im_start|>user
The length of the shorter side of a rectangle is 2 units. The length of each
diagonal is 4 units. What is the acute angle between the diagonals?
Answer Choices: (A) 15o (B) 22.5o (C) 45o (D) 60o (E) 75o<|im_end|>
<|im_start|>assistant
<think>
</think>
Suppose the vertices of the rectangle are labeled... | 92,751 |
<|im_start|>user
The sum of four consecutive even numbers is 292. What would be the largest number?
Answer Choices: (A) 33 (B) 88 (C) 76 (D) 123 (E) 12<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the four consecutive even numbers be 2(x - 2), 2(x - 1), 2x, 2(x + 1)
Their sum = 8x - 4 = 292 => x = 37
Smallest... | 88,486 |
<|im_start|>user
A bag contains 3 blue and 5 white marbles. One by one, marbles are drawn out randomly until only two are left in the bag. What is the probability Z that out of the two, one is white and one is blue?
Answer Choices: (A) 15/56 (B) 41/56 (C) 13/28 (D) 15/28 (E) 5/14<|im_end|>
<|im_start|>assistant
<think>... | 79,208 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Figures of speech are words or phrases that use language in a nonliteral or unusual way. They can make writing more expressive.
A euphemism is a polite or indirect expression that is used to de-emphasize an unpleasant topic.... | 5,781 |
<|im_start|>user
What is the main difference between prokaryotic and eukaryotic cells?
Answer choice: (A) enlarged mitochondria (B) presence of a nucleus (C) presence of cytoplasm (D) absence of cytoplasm<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer depends on if the cell is prokaryotic or eukaryotic. ... | 10,572 |
<|im_start|>user
If the price of petrol increases by 25% and Benson intends to spend only an additional 15% on petrol, by how much % will he reduce the quantity of petrol purchased?
Answer Choices: (A) 8% (B) 7% (C) 10% (D) 6% (E) 9%<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Assume that the initia... | 29,017 |
<|im_start|>user
If 144/x is an integer and 100/x is an integer, which of the following must be true?
I. 9/x is an integer
II. 12/x is an integer
III. 36/x is an integer
Answer Choices: (A) I only (B) III only (C) I and II only (D) II and III only (E) I, II and III<|im_end|>
<|im_start|>assistant
<think>
</think>
I t... | 88,565 |
<|im_start|>user
.04 × ? = .000016.
Answer Choices: (A) 0.0004 (B) 0.04 (C) 4 (D) 0.4 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution
Let .04 × x = .000016. Then, x = .000016/.04 = .0016/4 = .0004.
The answer is A<|endoftext|> | 27,356 |
<|im_start|>user
A sum of money invested at C.I. amounts to Rs. 800 in 3 years to Rs. 860 in 4 years. The rate of interest per annum is?
Answer Choices: (A) 2 1/2 % (B) 4% (C) 5% (D) 6 2/3 % (E) 7 1/2%<|im_end|>
<|im_start|>assistant
<think>
</think>
S.I. on Rs. 800 for 1 year = (860 - 800) = Rs. 60 Rate = (100 * 60)... | 10,207 |
<|im_start|>user
Molly is rolling a number cube with faces numbered 1 to 6 repeatedly. When she receives a 3, she will stop rolling the cube. What is the probability that Molly will roll the die less than 4 times before stopping?
Answer Choices: (A) 11/180 (B) 125/216 (C) 11/36 (D) 91/216 (E) 27/128<|im_end|>
<|im_star... | 49,561 |
<|im_start|>user
If X:Y = 8:9 and Y:Z = 5:2 then X:Y:Z is
Answer Choices: (A) 40:45:18 (B) 40:45:19 (C) 40:42:18 (D) 41:45:18 (E) 40:55:18<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution:
X/Y = 8/9;
Y/Z = 5/2;
X:Y:Z = 8*5:9*5:9*2 = 40:45:18
The answer is A<|endoftext|> | 35,955 |
<|im_start|>user
What is the ratio between perimeters of two squares one having 8 times the diagonal then the other?
Answer Choices: (A) 3: 6 (B) 3: 3 (C) 3: 8 (D) 8: 1 (E) 3: 2<|im_end|>
<|im_start|>assistant
<think>
</think>
d = 8d d = d
a√2 = 8d a√2 = d
a = 8d/√2 a = d/√2 => 8: 1
The answer is D<|endoftext|> | 46,512 |
<|im_start|>user
A number X equals 80% of the average of 5, 7, 14 and a number Y. If the average of X and Y is 26, the value of Y is?
Answer Choices: (A) 13 (B) 26 (C) 39 (D) 36 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Average of 5, 7, 14 and Y = ( 5 + 7 + 14 + Y )/ 4
Therefore, X = 80% of (... | 155 |
<|im_start|>user
A , B , and C started a partnership business by investing $27,000 , $72,000 , and $81,000 respectively. At the end of the year , the profit was distributed among them. If C's share of profit is $18,000, what is the total profit?
Answer Choices: (A) $24,000 (B) $32,000 (C) $40,000 (D) $48,000 (E) $56,00... | 7,571 |
<|im_start|>user
A garden center sells a certain grass seed in 5-pound bags at $13.82 per bag, 10-pound bags at $20.43 per bag, and 25-pound bags $32.25 per bag. If a customer is to buy at least 65 pounds of the grass seed, but no more than 80 pounds, what is the least possible cost of the grass seed that the customer ... | 56,849 |
<|im_start|>user
The rates of simple interest in two banks A and B are in the ratio 5 : 4. A person wants to deposit his total savings in two banks in such a way that he received equal half-yearly interest from both. He should deposit the savings in banks A and B in the ratio.
Answer Choices: (A) 2 : 5 (B) 4 : 5 (C) 5 ... | 79,485 |
<|im_start|>user
From a pack of cards two cards are drawn one after the other, with replacement. The probability that the first is a red card and the second is a king is
Answer Choices: (A) 1/26 (B) 1/25 (C) 1/20 (D) 1/21 (E) 1/22<|im_end|>
<|im_start|>assistant
<think>
</think>
Let E1 be the event of drawing a red c... | 86,103 |
<|im_start|>user
The product of all the prime numbers less than 10 is closest to which of the following powers of 10?
Answer Choices: (A) 10^9 (B) 10^2 (C) 10^7 (D) 10^6 (E) 10^5<|im_end|>
<|im_start|>assistant
<think>
</think>
Quickly approximate
2, 3, 5, 7, = 210 =2.1x10^2
B
The answer is B<|endoftext|> | 82,599 |
<|im_start|>user
The distinctive appearance of what tissue is due to polysaccharides called chondroitin sulfates?
Answer choice: (A) cartilage (B) bone (C) collagen (D) membrane<|im_end|>
<|im_start|>assistant
<think>
</think>
Cartilage The distinctive appearance of cartilage is due to polysaccharides called chondroi... | 8,173 |
<|im_start|>user
Ben and King are partners in a business. Ben is a working partner and King is a sleeping partner in the business. Ben invested Rs.3500 and King invested Rs.7000. Ben receives 7% of the profit for managing the business the rest is divided in proportion of their capitals. Out of a total profit of Rs.9600... | 23,398 |
<|im_start|>user
During the second quarter of 1984, a total of 3,976,000 domestic cars were sold. If this was 32% greater than the number sold during the first quarter of 1984, how many were sold during the first quarter ?
Answer Choices: (A) 714,240 (B) 2,261,760 (C) 2,400,000 (D) 3,012,121 (E) 3,915,790<|im_end|>
<|i... | 6,267 |
<|im_start|>user
If the sum of the 4th term and the 12th term of an arithmetic progression is 12, what is the sum of the first 15 terms of the progression?
Answer Choices: (A) 90 (B) 80 (C) 70 (D) 60 (E) 50<|im_end|>
<|im_start|>assistant
<think>
</think>
4th term + 12th term = 12
i.e., (a+3d)+(a+11d) = 12
Now, Sum o... | 19,263 |
<|im_start|>user
ACME’s manufacturing costs for sets of horseshoes include a $12,450 initial outlay, and $20.75 per set. They can sell the sets $50. If profit is revenue from sales minus manufacturing costs, and the company producessells 950 sets of horseshoes, what was their profit?
Answer Choices: (A) $15300 (B) $143... | 81,157 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
An allusion is a brief mention of something or someone well known, often from mythology, history, or literature. An allusion lets you reference ideas from an entire story in just a few words.
"I'd better get home before I tu... | 825 |
<|im_start|>user
How many two-element subsets of <1, 2,3,4,5,6,7,8> are there that do not contain the pair of elements 2 and 4?
Answer Choices: (A) 11 (B) 22 (C) 24 (D) 25 (E) 27<|im_end|>
<|im_start|>assistant
<think>
</think>
8C2 - 1 = 27
The answer is E<|endoftext|> | 62,433 |
<|im_start|>user
The price of a car depreciates in the first year by 25% in the second year by 20% in third year by 15% and so on. The final price of the car after 3 years, if the present cost of the car is Rs. 10,00,000 :
Answer Choices: (A) 7,80,000 (B) 1,70,000 (C) 6,90,000 (D) 5,10,000 (E) None of these<|im_end|>
<... | 9,012 |
<|im_start|>user
What laws regulate radiation doses to which people can be exposed?
Answer choice: (A) medical regulation laws (B) voltage protection laws (C) dose regulation laws (D) radiation protection laws<|im_end|>
<|im_start|>assistant
<think>
</think>
Radiation Protection Laws regulate radiation doses to which... | 4,019 |
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