text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
|---|---|
<|im_start|>user
If there is exactly one root of the equation ax^2 + x + b, where a and b are positive constants, what is b in terms of a?
Answer Choices: (A) 1/4a (B) a (C) 3a/2 (D) a^2/2 (E) a^2/4<|im_end|>
<|im_start|>assistant
<think>
</think>
one root for a quadratic equation ax^2+bx+c is possible only when b^2 ... | 67,319 |
<|im_start|>user
How many numbers up to 500 are divisible by 23?
Answer Choices: (A) 11 (B) 76 (C) 21 (D) 23 (E) 25<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
500/23 = 21 17/23 => 21 Numbers
The answer is C<|endoftext|> | 74,311 |
<|im_start|>user
There are 600 boys in a hostel. Each plays either hockey or football or both. If 75% play hockey and 35% play football, how many play both?
Answer Choices: (A) 120 (B) 150 (C) 200 (D) 180 (E) 60<|im_end|>
<|im_start|>assistant
<think>
</think>
n(A) = 75*600/100 = 450
n(B) = 35*600/100 = 210
n(AUB) = ... | 7,190 |
<|im_start|>user
If x^4 + y^4 = 20, then the greatest possible value of x is between:
Answer Choices: (A) 0 to 2 (B) 2 to 4 (C) 4 to 6 (D) 6 to 8 (E) 8 to 10<|im_end|>
<|im_start|>assistant
<think>
</think>
The answers to this question provide a great 'hint' as to how to go about solving it; since they're all essenti... | 10,616 |
<|im_start|>user
A man rows his boat 80 km downstream and 45 km upstream, taking 2 1/2 hours each time. Find the speed of the stream?
Answer Choices: (A) 1 kmph (B) 6 kmph (C) 5 kmph (D) 8 kmph (E) 7 kmph<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed downstream = d/t = 80/(2 1/2) = 32 kmph
Speed upstream = d... | 42,697 |
<|im_start|>user
Margaret is 13 years more than twice the age of his son. The age of son is 12. Find the age of mother and find the difference between their ages
Answer Choices: (A) 10yrs (B) 20yrs (C) 30yrs (D) 40yrs (E) 25yrs<|im_end|>
<|im_start|>assistant
<think>
</think>
Let, age of son x=12
Margaret is 13 years... | 79,127 |
<|im_start|>user
The salary of A, B, C, D, E is Rs. 8000, Rs. 5000, Rs. 14000, Rs. 7000, Rs. 9000 per month respectively, then the average salary of A, B, C, D, and E per month is
Answer Choices: (A) Rs. 7000 (B) Rs. 8000 (C) Rs. 8600 (D) Rs. 9000 (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Answer
Avera... | 95,835 |
<|im_start|>user
In the first M games of a team's season, the ratio of the team's wins to its losses was 3:1. In the subsequent N games, the ratio of the team´s wins to losses was 2:3. If M:N = 4:5, what was the ratio of the team's wins to its losses for all M+N games?
Answer Choices: (A) 7:8 (B) 9:2 (C) 1:2 (D) 5:4 (E... | 82,250 |
<|im_start|>user
Out of four numbers ,the average of first three is 16 and that of the last three is 15. If the last number is 21,the first number is :
Answer Choices: (A) 22 (B) 21 (C) 77 (D) 99 (E) 24<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Let the numbers be a,b,c,d
Given, a + b + c = 48, b +... | 21,542 |
<|im_start|>user
A vessel is filled with liquid, 3 parts of which are water and 5 parts syrup. How much of the mixture must be drawn off and replaced with water so that the mixture may be half water and half syrup?
Answer Choices: (A) 1 (B) 1/2 (C) 1/5 (D) 1/7 (E) 2<|im_end|>
<|im_start|>assistant
<think>
</think>
Su... | 83,734 |
<|im_start|>user
Terrestrial and aquatic are the two basic categories of what, on earth?
Answer choice: (A) substrates (B) biomes (C) atmospheres (D) dendrites<|im_end|>
<|im_start|>assistant
<think>
</think>
20.3 | Terrestrial Biomes By the end of this section, you will be able to: • Identify the two major abiotic f... | 5,749 |
<|im_start|>user
The square root of 64009 is:
Answer Choices: (A) 253 (B) 347 (C) 363 (D) 803 (E) 888<|im_end|>
<|im_start|>assistant
<think>
</think>
2|64009( 253
|4
|----------
45|240
|225
|----------
503| 1509
| 1509
|----------
| X
|----------
64009 = 253.
The answer is A<|endoftext|> | 87,724 |
<|im_start|>user
What is the study of how living things interact with each other and with their environment?
Answer choice: (A) scientology (B) biology (C) ecology (D) geology<|im_end|>
<|im_start|>assistant
<think>
</think>
Ecology is the study of how living things interact with each other and with their environment... | 7,208 |
<|im_start|>user
By selling 12 toffees for a rupee, a man loses 20%. How many for a rupee should be sell to get a gain of 20%?
Answer Choices: (A) 7 (B) 8 (C) 9 (D) 6 (E) 4<|im_end|>
<|im_start|>assistant
<think>
</think>
Let S.P. of 12 toffees be Rs. x.
Then, 80:1 = 120:x or x = 120/180 = 3/2
For Rs. 3/2, toffees so... | 27,957 |
<|im_start|>user
During 2001, a stock lost 80 percent of its value. During the following year, the stock's value increased by 100 percent. Which of the following is the percent change in the stock's value during those two years?
Answer Choices: (A) 60 percent decrease (B) 40 percent decrease (C) 20 percent increase (D)... | 12,842 |
<|im_start|>user
What kind of potentially harmful compounds can barbecuing food create?
Answer choice: (A) mutagens (B) triglycerides (C) carcinogens (D) enzymes<|im_end|>
<|im_start|>assistant
<think>
</think>
Barbecued foods are cooked at very high temperatures. This may cause carcinogens to form.
The answer is C<|... | 9,060 |
<|im_start|>user
The maximum number of student amoung them 1080 pens and 920 pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils is :
Answer Choices: (A) 91 (B) 40 (C) 80 (D) 90 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution
R... | 30,724 |
<|im_start|>user
A shopkeeper purchased 70 kg of potatoes for Rs.420 and sold the whole lot at the rate of Rs 6.50 per kg .What will be his gain percent?
Answer Choices: (A) 8 1/9 (B) 8 1/1 (C) 8 1/3 (D) 8 1/7 (E) 8 1/4<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Price per 1 kg = 4207042070 = Rs.6.
... | 96,768 |
<|im_start|>user
A chemist mixes one liter of pure water with x liters of a 50% salt solution, and the resulting mixture is a 15% salt solution. What is the value of x?
Answer Choices: (A) 1/4 (B) 1/3 (C) 1/2 (D) 1 (E) 3/7<|im_end|>
<|im_start|>assistant
<think>
</think>
Concentration of salt in pure solution = 0
Con... | 46,352 |
<|im_start|>user
Find the least number which when divided by 20,25,35,40 leaves remainder 14,19,29,34 respectively.
Answer Choices: (A) 1394 (B) 1450 (C) 1245 (D) 2564 (E) 1256<|im_end|>
<|im_start|>assistant
<think>
</think>
The difference of 20-14 = 6 , 25-19 = 6 , 35-29 = 6 , 40-34 = 6
LCM of 20,25,35,40 = 1400
Re... | 91,972 |
<|im_start|>user
If the city centers of New York and Paris are 3,627 miles apart, which of the following is closest to the distance between the city centers in inches? (There are 5,280 feet in a mile.)
Answer Choices: (A) 6.5 × 10^6 (B) 1.8 × 10^7 (C) 2.3 × 10^8 (D) 4.5 × 10^9 (E) 6.8 × 10^10<|im_end|>
<|im_start|>assi... | 60,715 |
<|im_start|>user
How many different positive integers exist between 10^2 and 10^3, the sum of whose digits is equal to 2?
Answer Choices: (A) 3 (B) 5 (C) 6 (D) 7 (E) 8<|im_end|>
<|im_start|>assistant
<think>
</think>
101
110
200
total no. is 3
A
The answer is A<|endoftext|> | 22,927 |
<|im_start|>user
A photography dealer ordered 60 Model X cameras to be sold for $250 each, which represents a 10 percent markup over the dealer’s initial cost for each camera. Of the cameras ordered, 6 were never sold and were returned to the manufacturer for a refund of 50 percent of the dealer's initial cost. What wa... | 93,686 |
<|im_start|>user
A car covers a distance of 624 km in 2 2/5 hours. Find its speed?
Answer Choices: (A) 104 kmph (B) 194 kmph (C) 109 kmph (D) 260 kmph (E) 271 kmph<|im_end|>
<|im_start|>assistant
<think>
</think>
624/2 2/5
=260 kmph
The answer is D<|endoftext|> | 4,417 |
<|im_start|>user
In how many different number of ways 6 men and 2 women can sit on a shopa which can accommodate persons?
Answer Choices: (A) 1250 (B) 1640 (C) 1240 (D) 1680 (E) 1270<|im_end|>
<|im_start|>assistant
<think>
</think>
8p4 = 8 x 7 x 6 × 5 = 1680
D)
The answer is D<|endoftext|> | 45,808 |
<|im_start|>user
A train starts full of passengers at the first station it drops 1/3 of the passengers and takes 280 more at the second station it drops one half the new total and takes twelve more. On arriving at the third station it is found to have 248 passengers. Find the no of passengers in the beginning?
Answer C... | 50,824 |
<|im_start|>user
Three consecutive even numbers are such that thrice the first number exceeds double the third number by four. What is the third number?
Answer Choices: (A) 10 (B) 12 (C) 14 (D) 16 (E) 18<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the three numbers be x, x+2, and x+4.
3x = 2(x+4) + 4
x = 12 ... | 87,785 |
<|im_start|>user
A cylinder of height h is 5/6 of water. When all of the water is poured into an empty cylinder whose radius is 25 percent larger than that of the original cylinder, the new cylinder is 3/5 full. The height of the new cylinder is what percent of h?
Answer Choices: (A) 25% (B) 50% (C) 60% (D) 72% (E) 100... | 72,872 |
<|im_start|>user
If two-third of a bucket is filled in four minutes then the time taken to fill the bucket completely will be .
Answer Choices: (A) 90 seconds (B) 70 seconds (C) 60 seconds (D) 100 seconds (E) 6 minutes<|im_end|>
<|im_start|>assistant
<think>
</think>
2/3 filled in 4 mint
1/3 filled in 2 mint
then 2/3... | 85,535 |
<|im_start|>user
The largest natural number which exactly divides the product of any four consecutive natural numbers is
Answer Choices: (A) 6 (B) 12 (C) 24 (D) 36 (E) 48<|im_end|>
<|im_start|>assistant
<think>
</think>
Required numbers; 1×2×3×4 = 24, which is divisible by 24.
also checking 5 x 6 x 7 x 8 = 1680, whic... | 2,671 |
<|im_start|>user
What occurs when two wave crests overlap?
Answer choice: (A) forth interference (B) constructive overlap (C) constructive dissonance (D) constructive interference<|im_end|>
<|im_start|>assistant
<think>
</think>
Constructive interference occurs when two wave crests overlap, doubling the wave amplitud... | 8,416 |
<|im_start|>user
The price of a VCR is marked at Rs. 12,000. If successive discounts of 15%, 10% and 5% be allowed, then at what price does a customer buy it?
Answer Choices: (A) 8729 (B) 8721 (C) 2772 (D) 9927 (E) 2388<|im_end|>
<|im_start|>assistant
<think>
</think>
Actual price = 95% of 90% of 85% of Rs. 12000
= 9... | 60,989 |
<|im_start|>user
A Cuban cigar would cost 4 dollar less than 1.5 times a French cigar, had the French cigar cost 0.7 dollar less than it does now. An Arabian cigar costs 50 cents more than 1.5 times the Cuban cigar. The three cigars together cost 74.7 dollars. What is the price of the French cigar?
Answer Choices: (A) ... | 78,396 |
<|im_start|>user
If C(n, 7) = C(n, 5), find n
Answer Choices: (A) 15 (B) 12 (C) 18 (D) -1 (E) -2<|im_end|>
<|im_start|>assistant
<think>
</think>
We know that C(n,r) = n! / r!(n - r)!
Now C(n,7) = C(n,5)
n! / 7! (n - 7)! = n! / 5! (n - 5)!
=> 5! (n - 5)! = 7! (n - 7)!
=> [5!] x [(n - 5)(n - 6)[(n - 7)!] = 7 x 6 x 5! ... | 63,646 |
<|im_start|>user
Sound is said to travel in air at about 1100 feet per second. A man hears the axe striking the tree, 11/5 seconds after he sees it strike the tree. How far is the man from the wood chopper?
Answer Choices: (A) 2197 feet (B) 2420 ft (C) 2500 feet (D) 2629 feet (E) None of these<|im_end|>
<|im_start|>ass... | 11,273 |
<|im_start|>user
If a person walks at 14 km/hr instead of 10 km/hr, he would have walked 20 km more. The actual distance travelled by him is :
Answer Choices: (A) 52 km (B) 62 km (C) 55 km (D) 50 km (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Sol.
Let the actual distance travelled be x km. Then,
x/10 = ... | 47,465 |
<|im_start|>user
A basket contains 9 marbles. 4 are red and 5 are blue marbles If two marbles are drawn at random what is the probability that at least one ball is red.
Answer Choices: (A) 19/18 (B) 17/18 (C) 11/18 (D) 13/18 (E) 15/18<|im_end|>
<|im_start|>assistant
<think>
</think>
Total probability=9C2=36
4C2 +4C1*... | 42,447 |
<|im_start|>user
Seed mixture X is 40% ryegrass and 60% bluegrass by weight; seed mixture Y is 25% ryegrass and 75% fescue. If a mixture of X and Y contains 28% ryegrass, what percent of the weight of the mixture is from mixture X?
Answer Choices: (A) 10% (B) 20% (C) 40% (D) 50% (E) 60%<|im_end|>
<|im_start|>assistant
... | 96,241 |
<|im_start|>user
40 is subtracted from 60% of a number, the result is 50. Find the number?
Answer Choices: (A) 150 (B) 992 (C) 277 (D) 287 (E) 232<|im_end|>
<|im_start|>assistant
<think>
</think>
(60/100) * X – 40 = 50
6X = 900
X = 150
The answer is A<|endoftext|> | 28,535 |
<|im_start|>user
If each interior angle of a regular polygon is 144o, the it is
Answer Choices: (A) Octagon (B) Decagon (C) Dodecagon (D) Pentagon (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Decagon, then each ext angle = 180-44=36 deg .
sum of all ext angles = 360 deg .
Then total ext angles =... | 18,518 |
<|im_start|>user
Twenty four men can do a work in 35 days. How many men are required to complete the work in 21 days?
Answer Choices: (A) 33 (B) 40 (C) 99 (D) 277 (E) 28<|im_end|>
<|im_start|>assistant
<think>
</think>
We have M1 D1 = M2 D2
So, 24 * 35 = M2 * 21 => M2 = 40.
The answer is B<|endoftext|> | 24,854 |
<|im_start|>user
The ratio between the perimeter and the breadth of a rectangle is 5 : 1. If the area of the rectangle is 216 sq. cm, what is the length of the rectangle?
Answer Choices: (A) 18 cm (B) 20 cm (C) 22 cm (D) 24 cm (E) 26 cm<|im_end|>
<|im_start|>assistant
<think>
</think>
2(l + b) = 5
b 1
2l + 2b = 5b
3b... | 32,042 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
A fact is something that can be proved true by research or observation.
George Washington became president of the United States in 1789.
This statement is a fact. It can be proved by researching what year George Washington w... | 3,538 |
<|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.
An idiom is an expression that cannot be understood literally. Its meaning must be learned.
The ... | 3,380 |
<|im_start|>user
P and Q started a business investing Rs, 85,000 and Rs. 15,000 respectively. In what ratio the profit named after 2 years bo divided between P and Q respectively ?
Answer Choices: (A) 17:9 (B) 17:3 (C) 17:2 (D) 17:1 (E) 17:0<|im_end|>
<|im_start|>assistant
<think>
</think>
P : Q = 85000 : 15000 = 86 ... | 95,603 |
<|im_start|>user
The positive number a is q percent greater than the positive number b, which is z percent less than a itself. If a is increased by z percent, and the result is then decreased by q percent to produce a positive number c, which of the following could be true?
I. c > a
II. c = a
III. c < a
Answer Choices:... | 86,515 |
<|im_start|>user
What is the value of 4^5+4^7?
Answer Choices: (A) 4^12 (B) 4^35 (C) 17(4^5) (D) 8^12 (E) 7(4^5) <|im_end|>
<|im_start|>assistant
<think>
</think>
4^5+4^7
=4^5(1+4^2)
=4^5 * 17
The answer is C<|endoftext|> | 34,692 |
<|im_start|>user
How many ounces of a 60% salt solution must be added to 30 ounces of a 20 percent salt solution so that the resulting mixture is 40% salt?
Answer Choices: (A) 16.67 (B) 30 (C) 50 (D) 60.33 (E) 70<|im_end|>
<|im_start|>assistant
<think>
</think>
let x=ounces of 60% salt solution to be added
.2*30+.6x=... | 88,174 |
<|im_start|>user
Two trains of length 100 m and 200 m are 100 m apart. They start moving towards each other on parallel tracks, at speeds 54 kmph and 72 kmph. In how much time will the trains cross each other?
Answer Choices: (A) 70/7 sec (B) 80/7 sec (C) 40/7 sec (D) 60/7 sec (E) 90/7 sec<|im_end|>
<|im_start|>assista... | 91,149 |
<|im_start|>user
When 10 is subtracted from a number, it reduces to seven-twelve of the number. What is the sum of the digit of the number
Answer Choices: (A) 10 (B) 24 (C) 46 (D) 48 (E) 45<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Let the number be x. Then,
x - 10 = 7x/12 => x - 7x/12 = 10
5x/12 ... | 72,243 |
<|im_start|>user
In the equation ax^2 + bx + c = 0 a, b, and c are constants, and abc # 0. If one root of the equation is -2, and b = 10a then which of the following is c equal to?
Answer Choices: (A) a/12 (B) a/8 (C) 6a (D) 8a (E) 16a<|im_end|>
<|im_start|>assistant
<think>
</think>
The sum of the roots is = -b/a = ... | 87,587 |
<|im_start|>user
Two trains are moving at 50 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) 7 1/2 sec (B) 7 1/7 sec (C) 7 8/2 sec (D) 7 1/9 sec (E) 7 2/2 sec<|im_end|>
<|im_start|>assistant
<think>
<... | 93,228 |
<|im_start|>user
Ravi and Kumar are working on an assignment. Ravi takes 6 hours to type 32 pages on a computer, while Kumar takes 5 hours to type 40 pages. How much time will they take, working together on two different computers to type an assignment of 110 pages?
Answer Choices: (A) 7 hours 15 minutes (B) 8 hours 15... | 85,353 |
<|im_start|>user
On dividing 122 by a number, the quotient is 6 and the remainder is 2. Find the divisor?
Answer Choices: (A) 14 (B) 16 (C) 18 (D) 20 (E) 22<|im_end|>
<|im_start|>assistant
<think>
</think>
d = (D-R)/Q
= (122 - 2)/6
= 122/6 = 20
D)
The answer is D<|endoftext|> | 27,474 |
<|im_start|>user
Look at this series: 53, 53, 40, 40, 27, 27, ... What number should come next?
Answer Choices: (A) 14 (B) 15 (C) 17 (D) 19 (E) 11<|im_end|>
<|im_start|>assistant
<think>
</think>
A
14
In this series, each number is repeated, then 13 is subtracted to arrive at the next number.
The answer is A<|endofte... | 6,755 |
<|im_start|>user
At a bank, the service charges for transactions were US Dollar 1 for every 5 transactions. The bank recently revised the charges to US Dollar 0.75 for every 3 transactions. By approximately what percent did the ratio of price to transactions increase from the previous charge?
Answer Choices: (A) 28 (B)... | 70,929 |
<|im_start|>user
How many positive integers less than 10,000 are such that the product of their digits is 30?
Answer Choices: (A) 12 (B) 24 (C) 36 (D) 38 (E) 50<|im_end|>
<|im_start|>assistant
<think>
</think>
30 = 1 * 30, 2 * 15, 3* 10, 5 *6
We have the option of using single digits 1,2,3,5 and 6
No : of four digit ... | 11,257 |
<|im_start|>user
Cells infected with viruses secrete what example of early induced proteins, which travel to adjacent cells and induce them to make antiviral proteins, a sacrifice that protects the surrounding cells?
Answer choice: (A) hormones (B) prokaryotes (C) metabolites (D) interferons<|im_end|>
<|im_start|>assis... | 1,088 |
<|im_start|>user
A school has 120, 192 and 144 students enrolled for its science, arts and commerce courses. All students have to be seated in rooms for an exam such that each room has students of only the same course and also all rooms have equal number of students. What is the least number of rooms needed?
Answer Cho... | 32,491 |
<|im_start|>user
The average age of a committee of 8 members is 40 years. A member aged 55 years
retired and his place was taken by another member aged 39 years . The average age of
present committee is;
Answer Choices: (A) 39 years (B) 38 years (C) 36 years (D) 35 years (E) 34 years<|im_end|>
<|im_start|>assistant
<th... | 55,861 |
<|im_start|>user
The average salary of all the workers in a workshop is Rs. 8000. The average salary of 7 technicians is Rs. 16000 and the average salary of the rest is Rs. 6000. The total number of workers in the workshop is :
Answer Choices: (A) 22 (B) 21 (C) 35 (D) 37 (E) 29<|im_end|>
<|im_start|>assistant
<think>
... | 77,170 |
<|im_start|>user
What is produced by leydig cells in the embryonic testis and stimulates the development of male sexual organs?
Answer choice: (A) androgen (B) insulin (C) testosterone (D) estrogen<|im_end|>
<|im_start|>assistant
<think>
</think>
27.3 Development of the Male and Female Reproductive Systems The reprod... | 11,036 |
<|im_start|>user
A shopkeeper forced to sell at cost price, uses a 950 grams weight for a kilogram. What is his gain percent?
Answer Choices: (A) 10% (B) 9% (C) 11.11% (D) 5.26 % (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Shopkeeper sells 950g instead of 1000g.
So, his gain = 1000 - 950 = 50g.... | 32,212 |
<|im_start|>user
Money invested at x%, compounded annually, triples in value in approximately every 112/x years. If $1800 is invested at a rate of 8%, compounded annually, what will be its approximate worth in 28 years?
Answer Choices: (A) $16,200 (B) $5,600 (C) $8,100 (D) $15,000 (E) $22,500<|im_end|>
<|im_start|>assi... | 5,537 |
<|im_start|>user
John makes $60 a week from his job. He earns a raise andnow makes $78 a week. What is the % increase?
Answer Choices: (A) 16.12% (B) 16.66% (C) 30% (D) 17.66% (E) 18.1%<|im_end|>
<|im_start|>assistant
<think>
</think>
Increase = (18/60)*100 = (3/10)*100 = 30%.
C
The answer is C<|endoftext|> | 47,036 |
<|im_start|>user
The scale that is used to measure the loudness of sound measures their loudness in what?
Answer choice: (A) waves (B) decibels (C) weight (D) centimeters<|im_end|>
<|im_start|>assistant
<think>
</think>
The most common cause of hearing loss is exposure to loud sounds. Loud sounds can damage hair cell... | 6,090 |
<|im_start|>user
What is the 100th term of the series 2,4,8,14,22?
Answer Choices: (A) 9902 (B) 9903 (C) 9904 (D) 9905 (E) 9906<|im_end|>
<|im_start|>assistant
<think>
</think>
this is in the form
the every N th number is (N-1)*N+2
for 1st numner aplly above formula
1st number=0*1+2=2
2nd number=1*2+2=4
3rd number=2*... | 25,100 |
<|im_start|>user
3x<2y<0 which of the following is the greatest?
Answer Choices: (A) 2x+3y (B) -(3x+y) (C) 2x-y (D) x+y (E) 0<|im_end|>
<|im_start|>assistant
<think>
</think>
Plugging in -1 for both x and y we get
A. 2x+3y =-5
B. -(3x+y) =4
C. 2x-y =1
D. x+y =-2
E. 0 =0
The answer is B<|endoftext|> | 4,511 |
<|im_start|>user
Trains A and B start simultaneously from stations 200 miles apart, and travel the same route toward each other on adjacent parallel tracks. If Train A and Train B travel at a constant rate of 20 miles per hour and 20 miles per hour, respectively, how many miles will Train A have traveled when the train... | 36,070 |
<|im_start|>user
Mary's income is 60% more Than Tim's income and Tim's income is 20% less than Juan's income.What % of Juan's income is Mary's income.
Answer Choices: (A) 128% (B) B.120% (C) 96% (D) 80% (E) 64%<|im_end|>
<|im_start|>assistant
<think>
</think>
Even I got 96%
J = 100
T = 100*0.8 = 80
M = 80*1.6 = 128
I... | 37,352 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
During peer review, you read and respond to a fellow student's writing. While there are many methods and strategies that you can use for reviewing a text, it is generally helpful to frame your suggestions in concrete and con... | 2,034 |
<|im_start|>user
A man can swim in still water at 3 km/h, but takes twice as long to swim upstream than downstream. The speed of the stream is?
Answer Choices: (A) 1.7 (B) 1.0 (C) 1.2 (D) 1.5 (E) 1.16<|im_end|>
<|im_start|>assistant
<think>
</think>
M = 3
S = x
DS = 3 + x
US = 3 + x
3 + x = (3 - x)2
3 + x = 6 -2x
3x ... | 17,508 |
<|im_start|>user
What is the 21th digit to the right of the decimal point in the decimal expansion of 1/37?
Answer Choices: (A) 0 (B) 2 (C) 4 (D) 7 (E) 9<|im_end|>
<|im_start|>assistant
<think>
</think>
1/37=0.027027... So, we have a repeating cycle of 027. Every third digit (3rd, 6th, 9th, ...) to the right of ... | 87,592 |
<|im_start|>user
A dishonest dealer professes to sell goods at the cost price but uses a weight of 800 grams per kg, what is his percent?
Answer Choices: (A) 11 (B) 25 (C) 77 (D) 88 (E) 11<|im_end|>
<|im_start|>assistant
<think>
</think>
800 --- 200
100 --- ? => 25%
The answer is B<|endoftext|> | 38,502 |
<|im_start|>user
Tom opened a shop investing Rs.30000. Jose joined him 2 months later, investing Rs.45000. They earned a profit of Rs.36000 after completion of one year. What will be Jose's share of profit?
Answer Choices: (A) 20000 (B) 10000 (C) 25000 (D) 34000 (E) 30000<|im_end|>
<|im_start|>assistant
<think>
</thin... | 1,512 |
<|im_start|>user
A thief is noticed by a policeman from a distance of 200 m. The thief starts running and the policeman chases him. The thief and the policeman run at the rate of 10 km and 11 km per hour respectively. What is the distance between them after 6 minutes?
Answer Choices: (A) 100 (B) 277 (C) 2987 (D) 278 (E... | 53,308 |
<|im_start|>user
A 270 metres long bullet train running at the speed of 120 kmph crosses another bullet train running in opposite direction at the speed of 80 kmph in 9 seconds. What is the length of the other bullet train ?
Answer Choices: (A) 226 (B) 230 (C) 430 (D) 310 (E) 260<|im_end|>
<|im_start|>assistant
<think>... | 70,720 |
<|im_start|>user
The radius of a wheel is 22.4 cm. What is the distance covered by the wheel in making 200 resolutions.
Answer Choices: (A) 271.34 m (B) 281.34 m (C) 291.34 m (D) 301.34 m (E) 311.34 m<|im_end|>
<|im_start|>assistant
<think>
</think>
In one resolution, the distance covered by the wheel is its own circ... | 21,238 |
<|im_start|>user
What will be the compound interest on a sum of Rs. 25,000 after 3 years at the rate of 12% p.a.?
Answer Choices: (A) Rs.10123.22 (B) Rs.10823.20 (C) Rs.10123.20 (D) Rs.10123.29 (E) Rs.10123.28<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Amount = [25000 * (1 + 12/100)3]
= 25000 * 28/... | 31,716 |
<|im_start|>user
Which material used in oxyacetylene torches helps cut and weld metals?
Answer choice: (A) acetylene (B) carbon (C) sulfur (D) dioxide<|im_end|>
<|im_start|>assistant
<think>
</think>
Note Acetylene is used in oxyacetylene torches for cutting and welding metals. The flame from such a torch can be very... | 10,291 |
<|im_start|>user
The price of a T.V. set worth Rs. 20000 is to be paid in 20 installments of Rs. 1000 each. If the rate of interest be 6% per annum, and the first installment be paid at the time of purchase, then the value of the last installment covering the interest as well will be?
Answer Choices: (A) 19009 (B) 1907... | 59,334 |
<|im_start|>user
Find the average of first 4 multiples of 15?
Answer Choices: (A) 10 (B) 12.6 (C) 22.5 (D) 31.3 (E) 37.5<|im_end|>
<|im_start|>assistant
<think>
</think>
average = (15+30+45+60)/4 = 37.5
The answer is E<|endoftext|> | 38,394 |
<|im_start|>user
90% of the population of a village is 23040. The total population of the village is ?
Answer Choices: (A) 32256 (B) 24000 (C) 24936 (D) 25600 (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Answer
∵ 90% of P = 23040
∴ P = (23040 x 100) / 90 = 25600
Correct Option: D
The answer is D<|endofte... | 59,537 |
<|im_start|>user
Bones, cartilage, and ligaments make up what anatomical system?
Answer choice: (A) skeletal system (B) Integumentary system (C) Lymphatic system (D) Muscular system<|im_end|>
<|im_start|>assistant
<think>
</think>
The skeletal system is made up of bones, cartilage, and ligaments. The skeletal system ... | 11,659 |
<|im_start|>user
(2-x)^(x^2)=1^3x
What is the value of x ?
Answer Choices: (A) 2 (B) 3/2 (C) 1 (D) 3 (E) 0<|im_end|>
<|im_start|>assistant
<think>
</think>
(2-x)^(x^2)=1
2-x=1
x = 1
The answer is C<|endoftext|> | 94,883 |
<|im_start|>user
What is the unit digit in {(6374)1793 x (625)317 x (341491)}?
Answer Choices: (A) 0 (B) 1 (C) 2 (D) 3 (E) 4<|im_end|>
<|im_start|>assistant
<think>
</think>
Unit digit in (6374)1793 = Unit digit in (4)1793
= Unit digit in [(42)896 x 4]
= Unit digit in (6 x 4) = 4
Unit digit in (625)317 = Unit digit i... | 21,446 |
<|im_start|>user
The age of Ritu's mother is 6 times that of Ritu's age. After 6 years it will be 3 times that of Ritu's age. what is Ritu's mother present age?
Answer Choices: (A) 24 years (B) 26 years (C) 28 years (D) 10 years (E) None of the above<|im_end|>
<|im_start|>assistant
<think>
</think>
Let present age of... | 42,432 |
<|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 24 minutes. The waste pipe can empty the full cistern in?
Answer Choices: (A) 8 min (B) 7 min (C) 6 min (D) 9 min (E) 4 min<|im_end|>
<|im_start|>assistant
<think>... | 22,809 |
<|im_start|>user
A lent Rs. 5000 to B for 2 years and Rs. 3000 to C for 4 years on simple interest at the same rate of interest and received Rs. 2200 in all from both of them as interest. The rate of interest per annum is?
Answer Choices: (A) 16% (B) 12% (C) 74% (D) 10% (E) 45%<|im_end|>
<|im_start|>assistant
<think>
... | 16,631 |
<|im_start|>user
In a village they organize 4 programs for an festival. The festival occurs in 2 days. In how many ways that the 4 programs can be divided for 2 days festival?
Answer Choices: (A) 12 (B) 10 (C) 6 (D) 4 (E) 2<|im_end|>
<|im_start|>assistant
<think>
</think>
Here 4 programs organize for 2 day festival. ... | 15,449 |
<|im_start|>user
Right now, the ratio between the ages of Sandy and Molly is 4:3. After 6 years, Sandy’s age will be 30 years. What is Molly's age right now?
Answer Choices: (A) 12 (B) 14 (C) 16 (D) 18 (E) 20<|im_end|>
<|im_start|>assistant
<think>
</think>
Now, Sandy is 30 - 6 = 24
Molly's age is (3/4) * 24 = 18
The... | 88,909 |
<|im_start|>user
A dairyman pays Rs. 6.40 per liter of milk. He adds water and sells the mixture at Rs. 8per liter, thereby making 37.5% profit. The proportion of water to milk received by the customers is
Answer Choices: (A) 1:10 (B) 1:12 (C) 1:15 (D) 1:20 (E) 1:25<|im_end|>
<|im_start|>assistant
<think>
</think>
Mi... | 14,043 |
<|im_start|>user
Some reactions need extra help to occur quickly. they need another substance called what?
Answer choice: (A) a catalyst (B) neurotransmitter (C) protein (D) hormone<|im_end|>
<|im_start|>assistant
<think>
</think>
Some reactions need extra help to occur quickly. They need another substance called a c... | 1,783 |
<|im_start|>user
In 2008, the profits of Company N were 10 percent of revenues. In 2009, the revenues of Company N fell by 5 percent, but profits were 10 percent of revenues. The profits in 2009 were what percent of the profits in 2008?
Answer Choices: (A) 80% (B) 105% (C) 120% (D) 124.2% (E) 95%<|im_end|>
<|im_start|>... | 27,132 |
<|im_start|>user
If Greg buys 3 shirts, 4 trousers and 2 ties, the total cost is $40. If Greg buys 7 shirts, 2 trousers and 2 ties, the total cost is $60. How much will it cost him to buy 3 trousers, 5 shirts and 2 ties?
Answer Choices: (A) $50 (B) $64 (C) $75 (D) $96 (E) Cannot be determined<|im_end|>
<|im_start|>assi... | 88,118 |
<|im_start|>user
The average of temperatures at noontime from Monday to Friday is 60; the lowest one is 45, what is the possible maximum range of the temperatures?
Answer Choices: (A) 20 (B) 25 (C) 40 (D) 45 (E) 75<|im_end|>
<|im_start|>assistant
<think>
</think>
there are 5 days so the sum of temperature can be 60*5... | 74,175 |
<|im_start|>user
A line that passes through (–1, –4) and (5, k) has a slope = k. What is the value of k?
Answer Choices: (A) 3/4 (B) 1 (C) 4/5 (D) 2 (E) 7/2<|im_end|>
<|im_start|>assistant
<think>
</think>
Slope = (y2-y1)/(x2-x1)
=> k = (k+4)/(5+1)
=> 6k = k+4
=> k =4/5
The answer is C<|endoftext|> | 13,251 |
<|im_start|>user
Which organ will bladder infections commonly damage if untreated?
Answer choice: (A) lungs (B) heart (C) kidney (D) tissue<|im_end|>
<|im_start|>assistant
<think>
</think>
Bacterial infections of the urinary tract, especially the bladder, are very common. Bladder infections can be treated with antibi... | 1,775 |
<|im_start|>user
If a + b + c = 13, a2 + b2 + c2 = 69 then find the ab + bc + ca :
Answer Choices: (A) 10 (B) 30 (C) 50 (D) 70 (E) 90<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
(a + b + c)2 = a2 + b2 + c2 + 2(ab + bc + ca)
2(ab + bc + ca) = (a + b + c)2 - a2 + b2 + c2
2(ab+bc+ca) = 169 - 69 = 100.
... | 78,655 |
<|im_start|>user
Pipe A can fill a tank in 32 minutes. Pipe B can fill the same tank 5 times faster than pipe A. If both the pipes are connected to the tank so that they fill the tank simultaneously, how long will it take for the empty tank to overflow?
Answer Choices: (A) 4 minutes (B) 2/7 minutes (C) 32/7 minutes (D)... | 34,407 |
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