text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
|---|---|
<|im_start|>user
if samaira wallet have 10rs. note,50 rs. note,2000 rs.note.if 10rs. is 3/5 part of his money and 50rs. is 1/5 part of his money.if he has 8000 money consist of 2000 rs.calculate total money in samaira wallet?
Answer Choices: (A) 18000 (B) 32000 (C) 30000 (D) 40000 (E) 35000<|im_end|>
<|im_start|>assist... | 1,593 |
<|im_start|>user
A store’s selling price of $2500 for a certain computer would yield a profit of 40 percent of the store’s cost for the computer. What selling price would yield a profit of 50 percent of the computer’s cost?
Answer Choices: (A) $2678 (B) $2464 (C) $2650 (D) $2732 (E) $2800<|im_end|>
<|im_start|>ass... | 87,948 |
<|im_start|>user
Pumping alone at their respective constant rates, one inlet pipe fills an empty tank to 1/2 of capacity in 6 hours and a second inlet pipe fills the same empty tank to 2/3 of capacity in 6 hours. How many hours will it take both pipes, pumping simultaneously at their respective constant rates, to fill ... | 64,830 |
<|im_start|>user
A man can row with a speed of 23 kmph in still water. If the stream flows at 14 kmph, then the speed in downstream is?
Answer Choices: (A) 37 (B) 23 (C) 20 (D) 28 (E) 12<|im_end|>
<|im_start|>assistant
<think>
</think>
M = 23
S =14
DS = 23 + 14 = 37
The answer is A<|endoftext|> | 67,944 |
<|im_start|>user
Susan, John, Tim,and Kim need to be seated in 4 identical chairs in straight line so that Susan is seated always left to Tim. How many such arrangements are possible ?
Answer Choices: (A) A) 12 (B) B) 120 (C) C) 80 (D) D) 240 (E) E) 60<|im_end|>
<|im_start|>assistant
<think>
</think>
Total number of ... | 82,751 |
<|im_start|>user
When we move down a group of elements on the periodic table, what happens to their electronegativity?
Answer choice: (A) it decreases (B) it increases (C) it stays the same (D) it doubles<|im_end|>
<|im_start|>assistant
<think>
</think>
The nonmetals are elements located in the upper right portion of... | 851 |
<|im_start|>user
A drawer holds 5 red hats and 5 blue hats. What is the probability of getting exactly three red hats or exactly three blue hats when taking out 7 hats randomly out of the drawer and returning each hat before taking out the next one?
Answer Choices: (A) 3/4 (B) 5/8 (C) 9/16 (D) 17/32 (E) 35/64<|im_end|>... | 23,128 |
<|im_start|>user
Where do polychaetes live?
Answer choice: (A) the tundra (B) ocean floor (C) great plains (D) lakes<|im_end|>
<|im_start|>assistant
<think>
</think>
Polychaetes live on the ocean floor. They may be sedentary filter feeders, active predators, or scavengers. Active species crawl along the ocean floor i... | 3,632 |
<|im_start|>user
Which of the following values is the greatest
Answer Choices: (A) a) 11% of 89 (B) b) 22% of 78 (C) c) 50% of 67 (D) d) 44% of 56 (E) e) 55% of 45<|im_end|>
<|im_start|>assistant
<think>
</think>
Are you sure that you checked
The answer is C<|endoftext|> | 3,605 |
<|im_start|>user
What is the term for anything that can cause cancer?
Answer choice: (A) carcinogen (B) contaminate (C) chemical (D) contamination<|im_end|>
<|im_start|>assistant
<think>
</think>
A carcinogen is anything that can cause cancer. Cancer is a disease in which cells divide out of control. Most carcinogens... | 10,857 |
<|im_start|>user
If m = 3^n, what is the greatest value of n for which m is a factor of 31!
Answer Choices: (A) 8 (B) 10 (C) 12 (D) 14 (E) 16<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution-
Consider multiples of 25!=> 3,6,9,12,15,18,21,24,27,30
Count no. of 3 in each multiple.
3=3x1->1
6=3x2->1
9=3x3->2
12... | 45,464 |
<|im_start|>user
Find the average of all prime numbers between 1 and 10
Answer Choices: (A) 2.5 (B) 1.35 (C) 4.25 (D) 6.12 (E) 7.13<|im_end|>
<|im_start|>assistant
<think>
</think>
Prime numbers between 1 and 10 are 2,3,5,7
Required average = (2+3+5+7)/4 = 17/4 = 4.25
The answer is C<|endoftext|> | 16,282 |
<|im_start|>user
A bag marked at $80 is sold for $68. The rate of discount is?
Answer Choices: (A) 10% (B) 15% (C) 20% (D) 25% (E) 30%<|im_end|>
<|im_start|>assistant
<think>
</think>
Rate of discount = 12/80 * 100 = 15%
The answer is B<|endoftext|> | 39,232 |
<|im_start|>user
33 1/3% OF 240?
Answer Choices: (A) 80 (B) 90 (C) 110 (D) 120 (E) 130<|im_end|>
<|im_start|>assistant
<think>
</think>
33 1/3 % = 1/3
1/3 × 240 = 80
A)
The answer is A<|endoftext|> | 60,389 |
<|im_start|>user
If x=3y=4z, what is z+y, in terms of x?
Answer Choices: (A) 3x/5 (B) 4x/9 (C) 11x/13 (D) 7x/12 (E) 5x/11<|im_end|>
<|im_start|>assistant
<think>
</think>
x=3y=4z
x/4 = z
and y = x/3
z+y = x/4 + x/3 = 7x/12
The answer is D<|endoftext|> | 25,757 |
<|im_start|>user
A man has some hens and cows. If the number of heads be 48 and the number of feet equals 140, then the number of hens will be:
Answer Choices: (A) 22 (B) 24 (C) 26 (D) 23 (E) 21<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the number of hens be x and the number of cows be y.
Then, x + y = 48 ... | 67,424 |
<|im_start|>user
Rs.1170 is divided so that 4 times the first share, thrice the 2nd share and twice the third share amount to the same. What is the value of the third share?
Answer Choices: (A) Rs.528 (B) Rs.542 (C) Rs.528 (D) Rs.540 (E) Rs.549<|im_end|>
<|im_start|>assistant
<think>
</think>
A+B+C = 1170
4A = 3B = 2... | 56,283 |
<|im_start|>user
Two dice are tossed once. What is the probability of getting an even number on the first die or a total sum of 6 on the two dice?
Answer Choices: (A) 5/9 (B) 5/12 (C) 7/12 (D) 11/18 (E) 19/36<|im_end|>
<|im_start|>assistant
<think>
</think>
There are 36 possible outcomes for two dice.
The number of o... | 10,832 |
<|im_start|>user
A person has to cover the fixed distance through his horses. There are five horses in the cart. They ran at the full potential for the 24 hours continuously at constant speed and then two of the horses ran away to some other direction. So he reached the destination 48 hours behind the schedule. If the ... | 64,020 |
<|im_start|>user
If x, y, and z are positive integers such that x^2 - y^2 + z^2 = 36, which of the following could be the values of x, y, and z?
I)x=122,y=157,z=99
II)x=125,y=160,z=102
III)x=100,y=150,z=167
Answer Choices: (A) I only (B) II only (C) III only (D) I and II (E) I and III<|im_end|>
<|im_start|>assistant
<... | 56,917 |
<|im_start|>user
A shipment of 8 television sets contains 2 black-and-white sets and 7 color sets. If 2 television sets are to be chosen at random from this shipment, what is the probability that at least 1 of the 2 sets chosen will be a black-and-white set?
Answer Choices: (A) 1/7 (B) 1/4 (C) 5/14 (D) 11/28 (E) 13/28<... | 79,864 |
<|im_start|>user
A necklace is made by stringing N individual beads together in the repeating pattern green bead, white bead, yellow bead, red bead, and blue bead. If the necklace design begins with a green bead and ends with a yellow bead, then N could equal
Answer Choices: (A) 55 (B) 65 (C) 75 (D) 68 (E) 85<|im_end|>... | 91,712 |
<|im_start|>user
Before leaving home for the town of Madison, Pete checks a map which shows that Madison is 5 inches from his current location, Gardensquare. Pete arrives in Madison 6.5 hours later and drove at an average speed of 60 miles per hour. At what scale, in inches per mile, is the map drawn?
Answer Choices: (... | 61,184 |
<|im_start|>user
Anand finishes a work in 7 days, Bittu finishes the same job in 8 days and Chandu in 6 days. They take turns to finish the work. Anand on the first day, Bittu on the second and Chandu on the third day and then Anand again and so on. On which day will the work get over?
Answer Choices: (A) 3rd (B) 6th (... | 11,244 |
<|im_start|>user
If a taxi driver charges x cents for the first quarter-mile of a trip and (x/5) cents for each additional quarter-mile, what is the charge, in cents, for a trip whose distance in miles is the whole number y?
Answer Choices: (A) (x+xy) /125 (B) (4x + 4xy) /5 (C) (4x+xy) /500 (D) (4x+xy) /5 (E) xy/25<|im... | 84,462 |
<|im_start|>user
In 2 bags, there are to be put together 5 red and 12 white balls, neither bag being empty. How must the balls be divided so as to give a person who draws 1 ball from either bag- the greatest chance of drawing a red ball ?
Answer Choices: (A) 1/8 (B) 2/8 (C) 3/8 (D) 4/8 (E) 5/8<|im_end|>
<|im_start|>ass... | 79,130 |
<|im_start|>user
A reduction of 30% in the price of oil enables a house wife to obtain 9kgs more for Rs.900, what is the reduced price for kg?
Answer Choices: (A) 72 (B) 27 (C) 40 (D) 30 (E) 20<|im_end|>
<|im_start|>assistant
<think>
</think>
900*(30/100) = 270 ---- 9
? ---- 1 => Rs.30
The answer is D<|endoftext|> | 77,276 |
<|im_start|>user
A product when sold with 10% rebate on the listed price gave a profit of Rs.70. What was its cost price?
Answer Choices: (A) Rs. 200 (B) Rs. 250 (C) Rs. 300 (D) Cannot be determined (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution
Since the marked price is not given, so the cost pri... | 85,116 |
<|im_start|>user
Out of 15 consecutive numbers, 2 are chosen at random. The probability that they are both odds or both primes is ?
Answer Choices: (A) 10/17 (B) 10/19 (C) 46/105 (D) 11/15 (E) Cannot be determined<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
There is no definite formula for finding p... | 5,139 |
<|im_start|>user
Thomas has age that is twice of Matt now, two years from now Thomas's age would be 1.5 times that of Matt. How old is the Matt now?
Answer Choices: (A) 2 (B) 6 (C) 8 (D) 12 (E) 4<|im_end|>
<|im_start|>assistant
<think>
</think>
Lets assume the age of Matt be x, so that makes Thomas's age y.
From 2 ye... | 77,101 |
<|im_start|>user
A bag contains 6 red, 5 blue and 2 green balls. If 2 ballsare picked at random, what is the probability that both are red?
Answer Choices: (A) 4/21 (B) 2/13 (C) 5/26 (D) 5/27 (E) 4/27<|im_end|>
<|im_start|>assistant
<think>
</think>
P(Both are red),
=6C213C2=6C213C2
=5/26
C
The answer is C<|endoftext... | 65,298 |
<|im_start|>user
How many integers k greater than 100 and less than 800 are there such that if the hundreds and the unit digits of k are reversed, the resulting integer is k + 99?
Answer Choices: (A) 50 (B) 60 (C) 70 (D) 80 (E) 90<|im_end|>
<|im_start|>assistant
<think>
</think>
Not sure if this is the shortest.. But... | 74,515 |
<|im_start|>user
The compound ratio of 2/3, 6/7, 1/3 and 1/9 is given by?
Answer Choices: (A) 7/98 (B) 1/48 (C) 4/189 (D) 1/96 (E) 1/68<|im_end|>
<|im_start|>assistant
<think>
</think>
2/3 * 6/7 * 1/3 * 1/9 = 12/567 = 4/189
The answer is C<|endoftext|> | 86,716 |
<|im_start|>user
In a division, when a student mistook the divisor as 12 instead of 21 and obtained 35 as quotient the remainder is 0 . What is the correct quotient?
Answer Choices: (A) 14 (B) 18 (C) 20 (D) 24 (E) 29<|im_end|>
<|im_start|>assistant
<think>
</think>
Let x be the number
x÷12=35, remainder = 0
=> x=35×1... | 15,836 |
<|im_start|>user
If ab represents a positive two digit number, where a and b are single digit integers, which of the following cannot be true?
Answer Choices: (A) a+b =9 (B) (a) (b) =9 (C) a-b = 9 (D) b-a= 9 (E) a/b = 9<|im_end|>
<|im_start|>assistant
<think>
</think>
(A) ab = 45 or 63 or 27
(B) ab = 33 or 19
(C) 90
... | 23,917 |
<|im_start|>user
A number when divided by 5 gives a number which is 8 more than the remainder obtained on dividing the same number by 34. Such a least possible number X is
Answer Choices: (A) 74 (B) X=75 (C) X=175 (D) X=680 (E) 690<|im_end|>
<|im_start|>assistant
<think>
</think>
I solved this question by plugging in... | 86,901 |
<|im_start|>user
Find the principle on a certain sum of money at 5% per annum for 5 years if the amount being Rs.1120?
Answer Choices: (A) 896 (B) 1067 (C) 1977 (D) 1056 (E) 1097<|im_end|>
<|im_start|>assistant
<think>
</think>
1120 = P [1 + (5*5)/100]
P= 896
The answer is A<|endoftext|> | 26,493 |
<|im_start|>user
Symptoms of viral diseases result from what kind of response to a virus?
Answer choice: (A) infection (B) pathogenic (C) mutation (D) immune<|im_end|>
<|im_start|>assistant
<think>
</think>
Steps of Virus Infections A virus must use cell processes to replicate. The viral replication cycle can produce... | 6,757 |
<|im_start|>user
There are 100 students in a college class of which 36 are boys studying Tamil & 13 girls not studying Tamil. If there are 55 girls in all, then the probability that a boy picked up at random is not studying Tamil, is
Answer Choices: (A) 1/5 (B) 2/3 (C) 3/5 (D) 4/7 (E) 7/11<|im_end|>
<|im_start|>assista... | 69,006 |
<|im_start|>user
In the rectangular coordinate system, what is the x-intercept of a line passing through (10, 3) and (−12, −8)?
Answer Choices: (A) 4 (B) 2 (C) 0 (D) −2 (E) −4<|im_end|>
<|im_start|>assistant
<think>
</think>
slope = rise/run = 11/22 = 1/2
The equation of the line is y = (1/2)x + b
3 = (1/2)(10) + b
b... | 51,959 |
<|im_start|>user
In what time will a train 45 m long cross an electric pole, it its speed be 108 km/hr?
Answer Choices: (A) 0.5 (B) 1.25 (C) 1.5 (D) 2.5 (E) 3.5<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = 108 * 5/18 = 30 m/sec
Time taken = 45/30 = 1.5 sec.
The answer is C<|endoftext|> | 9,386 |
<|im_start|>user
Angelo and Isabella are both salespersons. In any given week, Angelo makes $550 in base salary plus 8 percent of the portion of his sales above $3,000 for that week. Isabella makes 10 percent of her total sales for any given week. For what amount of weekly sales would Angelo and Isabella earn the same ... | 1,129 |
<|im_start|>user
A boy has Rs. 640 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?
Answer Choices: (A) 90 (B) 110 (C) 140 (D) 130 (E) 120<|im_end|>
<|im_start|>assistant
<think>
</think>
L... | 71,896 |
<|im_start|>user
Shekhar started a business investing Rs. 25,000 in 1999. In 2000, he invested an additional amount of Rs. 10,000 and Rajeev joined him with an amount of Rs. 35,000. In 2001, Shekhar invested another additional amount of Rs. 10,000 and Jatin joined them with an amount of Rs. 35,000. What will be Rajeev'... | 88,370 |
<|im_start|>user
Which is greater than -1?
Answer Choices: (A) -5 (B) -4 (C) -3 (D) -2 (E) 0<|im_end|>
<|im_start|>assistant
<think>
</think>
-1 greater than 0.
The answer is E<|endoftext|> | 47,538 |
<|im_start|>user
A train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds. Its length is?
Answer Choices: (A) 272 (B) 111 (C) 822 (D) 150 (E) 379<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the length of the train be x meters and its speed be y m/sec.
They, x / y = 15 => y = x/15
x + ... | 42,069 |
<|im_start|>user
Anne bought a computer for $2,000 and then paid a 5 percent sales tax, and Henry bought a computer for $1,800 and then paid a 12 percent sales tax. The total amount that Henry paid, including sales tax, was what percent less than the total amount that Anne paid, including sales tax?
Answer Choices: (A)... | 48,664 |
<|im_start|>user
The calendar for the year 2007 will be the same for the year
Answer Choices: (A) 2017 (B) 2018 (C) 2014 (D) 2016 (E) 2015<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
For a year to have the same calendar with 2007 ,the total odd days from 2007 should be 0.
Year: 2007 2008 2009 2010 2... | 55,865 |
<|im_start|>user
A basketball is dropped from a height of 20 feet. If it bounces back up to a height that is exactly half of its previous height, and it stops bouncing after hitting the ground for the fourth time, then how many total feet will the ball have traveled after 2 full bounces.
Answer Choices: (A) 50 (B) 55 (... | 14,949 |
<|im_start|>user
A lady took loan from a bank at the rate of 12% p.a. simple interest. After 3 years she had to pay Rs. 5400 interest only for the period. The principal amount borrowed by her was :
Answer Choices: (A) Rs. 15,000 (B) Rs. 1,50,000 (C) Rs. 1500 (D) Rs. 1,62,000 (E) None of these<|im_end|>
<|im_start|>assi... | 26,451 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Organisms, including people, have both inherited and acquired traits. Inherited and acquired traits are gained in different ways.
Inherited traits are passed down from biological parents to their offspring through genes. Gen... | 915 |
<|im_start|>user
At a Supermarket a certain item has increased from 72 cents per pound to 78 cents per pound. What is the % increase in the cost of item?
Answer Choices: (A) 6.33% (B) 7.22% (C) 8.33% (D) 8% (E) 7%<|im_end|>
<|im_start|>assistant
<think>
</think>
Percent change = (New Value- Old Value )/ old value x 1... | 101 |
<|im_start|>user
A circular rim 21 inches in diameter rotates the same number of inches per second as a circular rim 35 inches in diameter. If the smaller rim makes x revolutions per second, how many revolutions per minute does the larger rim makes in terms of x ?
Answer Choices: (A) 48pi/x (B) 75x (C) 48x (D) 45x (E) ... | 11,514 |
<|im_start|>user
Two trains are moving in opposite directions at 60 km/hr and 90 km/hr. Their lengths are 1.10 km and 0.9 km respectively. The time taken by the slower train to cross the faster train in seconds is:
Answer Choices: (A) 28 sec (B) 36 sec (C) 48 sec (D) 52 sec (E) 56 sec<|im_end|>
<|im_start|>assistant
<t... | 91,770 |
<|im_start|>user
The ratio of the number of females to males at a party was 1:2 but when 6 females and 6 males left, the ratio became 1:3. How many people were at the party originally?
Answer Choices: (A) 24 (B) 28 (C) 32 (D) 36 (E) 40<|im_end|>
<|im_start|>assistant
<think>
</think>
The total number of people are x ... | 58,067 |
<|im_start|>user
In Town X, 96 percent of the population are employed, and 24 percent of the population are employed males. What percent of the employed people in Town X are females?
Answer Choices: (A) 16% (B) 25% (C) 32% (D) 75% (E) 52%<|im_end|>
<|im_start|>assistant
<think>
</think>
Total employed people 96%, out... | 7,184 |
<|im_start|>user
What is the least integer that is a sum of four different prime numbers each greater than 10?
Answer Choices: (A) 60 (B) 62 (C) 64 (D) 66 (E) 68<|im_end|>
<|im_start|>assistant
<think>
</think>
The sum of the four smallest primes greater than 10 is 11+13+17+19=60.
The answer is A<|endoftext|> | 27,929 |
<|im_start|>user
A certain sum of money is divided among A, B and C so that for each Rs. A has, B has 65 paisa and C 40 paisa. If C's share is Rs.40, find the sum of money?
Answer Choices: (A) Rs.201 (B) Rs.220 (C) Rs.228 (D) Rs.205 (E) Rs.202<|im_end|>
<|im_start|>assistant
<think>
</think>
A:B:C = 100:65:40
= 20:13... | 47,127 |
<|im_start|>user
The radius of a semi circle is 3.1 cm then its perimeter is?
Answer Choices: (A) 15.94 (B) 12.41 (C) 16.1 (D) 32.92 (E) 32.3<|im_end|>
<|im_start|>assistant
<think>
</think>
36/7 r = 6.3 = 15.94
The answer is A<|endoftext|> | 25,986 |
<|im_start|>user
A brick measures 20 cm * 10 cm * 7.5 cm how many bricks will be required for a wall 28 m * 2 m * 0.75 m?
Answer Choices: (A) 28000 (B) 27908 (C) 78902 (D) 25000 (E) 27991<|im_end|>
<|im_start|>assistant
<think>
</think>
28 * 2 * 0.75 = 20/100 * 10/100 * 7.5/100 * x
28 = 1/100 * x => x
= 28000
The ans... | 33,653 |
<|im_start|>user
When the air temperature reaches the dew point, water vapor starts to do what?
Answer choice: (A) evaporate (B) germinate (C) dissipate (D) condense<|im_end|>
<|im_start|>assistant
<think>
</think>
A: When air temperature reaches the dew point, water vapor starts condensing. It may form dew (as on th... | 8,189 |
<|im_start|>user
If Z= Y^2 + d W+ 9 does not cut the x-axis, then which of the following could be a possible value of d?
I. 0
II. -3
III. 9
Answer Choices: (A) III only (B) II only (C) I and II only (D) II and III only (E) I and III only<|im_end|>
<|im_start|>assistant
<think>
</think>
Here C is the answer as A and B... | 86,016 |
<|im_start|>user
If Rs.3250 be divided among Ram, Shyam and Mohan in the ratio of 1/2:1/3:1/4 then the share of each are?
Answer Choices: (A) 750 (B) 387 (C) 237 (D) 198 (E) 121<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
1/2:1/3:1/4 = 6:4:3
Ram = 6/13 * 3250 = 1500
Shyam = 4/13 * 3250 = 1000
Mohan ... | 51,536 |
<|im_start|>user
After 57 liters of petrol were poured into the tank, it was still 5% empty. How much petrol must be poured into the tank in order to fill it?
Answer Choices: (A) 7 liters (B) 4 liters (C) 3 liters (D) 2 liters (E) 6 liters<|im_end|>
<|im_start|>assistant
<think>
</think>
95% ----------- 57
5% -------... | 27,245 |
<|im_start|>user
All the genes in all the members of a population make up its what?
Answer choice: (A) gene pool (B) phenotype (C) diversity (D) longevity<|im_end|>
<|im_start|>assistant
<think>
</think>
A population is a group of organisms of the same species that live in the same area. All the genes in all the memb... | 3,524 |
<|im_start|>user
Mr.Jones gave 40% of the money he had to his wife. He also gave 20% of the remaining amount to his 3 sons. and half of the amount now left was spent on miscellaneous items and the remaining amount of Rs.12000 was deposited in the bank. How much money did Mr.jones have initially?
Answer Choices: (A) 400... | 76,580 |
<|im_start|>user
If a boat goes 7 km upstream in 42 minutes and the speed of the stream is 3 kmph, then the speed of the boat in still water is
Answer Choices: (A) 12 kmph (B) 13 kmph (C) 14 kmph (D) 15 kmph (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Rate upstream = (7/42)*60 kmh ... | 75,551 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
All solids, liquids, and gases are made of matter. Matter is made up of tiny particles that are always moving. The energy from the motion of these particles is called thermal energy.
Temperature measures how hot or cold matt... | 3,902 |
<|im_start|>user
A train moves fast a telegraph post and a bridge 264 m long in 8 sec and 20 sec respectively. What is the speed of the train?
Answer Choices: (A) 28.9 km/hr (B) 89.9 km/hr (C) 28.9 km/hr (D) 79.2 km/hr (E) 19.9 km/hr<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the length of the train be x m ... | 82,850 |
<|im_start|>user
Professor absentminded has a very peculiar problem, in that he cannot remember numbers larger than 15. However, he tells his wife, I can remember any number up to 100 by remembering the three numbers obtained as remainders when the number is divided by 3, 5 and 7 respectively. For example (2,2,3) is 17... | 79,279 |
<|im_start|>user
While camping, 3 people are to be seated around a stool. two seating arrangement are considered different only when the position of the people are different relative to each other. what is the total number of possible seating arrangement for the group?
Answer Choices: (A) a.2 (B) b.10 (C) c.8 (D) d.32 ... | 81,065 |
<|im_start|>user
If m > 1 and n = 2^(m−2), then 4^m =
Answer Choices: (A) 16n^2 (B) 4n^2 (C) n^2 (D) n^2/4 (E) n^2/16<|im_end|>
<|im_start|>assistant
<think>
</think>
n = 2^(m-2) = 2^m/4
2^m = 4n
4^m = (2^m)^2 = (4n)^2 = 16n^2
The answer is A<|endoftext|> | 44,992 |
<|im_start|>user
The difference between a number and its two-fifth is 45. What is the number?
Answer Choices: (A) 64 (B) 75 (C) 80 (D) 89 (E) 78<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Let the number be x.
x – (2 / 5) x = 45
(3/5) x = 45
x = 75
The answer is B<|endoftext|> | 52,143 |
<|im_start|>user
Jim drove 1096 miles of a 1200 miles journey. How many more miles does he need to drive to finish his journey?
Answer Choices: (A) 104 miles (B) 432 miles (C) 456miles (D) 887 miles (E) 767 miles<|im_end|>
<|im_start|>assistant
<think>
</think>
The number of miles to drive to finish his journey is gi... | 60,080 |
<|im_start|>user
At the store, Sam bought a shirt and a toaster. There was a 6% sales tax on each item, and with tax, Sam paid a total of K. If the price of the toaster before tax was T, what, in terms of K and T, is the price of the shirt before tax?
Answer Choices: (A) 0.94(K – T) (B) 0.94K – T (C) 0.94(K – 1.06T) ... | 42,291 |
<|im_start|>user
There are seven thieves. They stole diamonds from a diamond merchant and ran away. While running, night sets in and they decide to rest in the jungle.
When everybody was sleeping, two of them woke up and decided to divide the diamonds equally among themselves. But when they divided the diamonds equally... | 84,041 |
<|im_start|>user
A grocery store bought some mangoes at a rate of 5 for a dollar. They were separated into two stacks, one of which was sold at a rate of 3 for a dollar and the other at a rate of 9 for a dollar. What was the ratio of the number of mangoes in the two stacks if the store broke even after having sold all ... | 32,636 |
<|im_start|>user
If 10% of 30% of 50% of a number is 90, then what is the number?
Answer Choices: (A) 4000 (B) 6000 (C) 4400 (D) 4500 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the number be a
Given, 10/100 * 30/100 * 50/100 * a = 90
=> 1/10 * 3/10 * 1/2 * a = 90
=> a = 10 * 20 * 10 * 2 = ... | 3,063 |
<|im_start|>user
Find the product of the local value and absolute value of 2 in 564823
Answer Choices: (A) 40 (B) 60 (C) 80 (D) 100 (E) 18000<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Place value = Local value
Face value = Absolute value
The place value of 2 in 564823 is 2 x 10 = 20
The face value... | 76,790 |
<|im_start|>user
In 1802, charles and gay-lussac both proposed that for a fixed amount of gas at a constant pressure, what is directly proportional to its absolute temperature?
Answer choice: (A) air (B) liquid (C) volume (D) density<|im_end|>
<|im_start|>assistant
<think>
</think>
Various studies were done on the ef... | 9,657 |
<|im_start|>user
In how many ways Chief Minister and Minister be elected from a team of 12 members?
Answer Choices: (A) 124 (B) 131 (C) 132 (D) 145 (E) 165<|im_end|>
<|im_start|>assistant
<think>
</think>
To do this, if captain is elected first, then we have 12 ways of doing this.
For election of vice-captain, we hav... | 11,811 |
<|im_start|>user
If a certain sample of data has a mean of 20.0 and a standard deviation of 2.5, which of the following values is more than 2.5 standard deviations from the mean?
Answer Choices: (A) 22.0 (B) 13.5 (C) 17.0 (D) 23.5 (E) 12.0<|im_end|>
<|im_start|>assistant
<think>
</think>
The standard deviation i... | 4,816 |
<|im_start|>user
If a coin has an equal probability of landing heads up or tails up each time it is flipped , what is the probability that the coin will land Tails up exactly twice in 2 consecutive flips ?
Answer Choices: (A) 0.125 (B) 0.25 (C) 0.375 (D) 0.5 (E) 0.666<|im_end|>
<|im_start|>assistant
<think>
</think>
... | 4,665 |
<|im_start|>user
Kim can do a work in 3 days while David can do the same work in 2 days. Both of them finish the work together and get Rs. 150. What is the share of Kim?
Answer Choices: (A) 77 (B) 60 (C) 99 (D) 26 (E) 21<|im_end|>
<|im_start|>assistant
<think>
</think>
Kim's wages : David's wages = Kim's 1 day work :... | 8,854 |
<|im_start|>user
The present population of a town is 4320. Population increase rate is 20% p.a. Find the population of town before 2 years?
Answer Choices: (A) 2500 (B) 2100 (C) 3500 (D) 3000 (E) 2050<|im_end|>
<|im_start|>assistant
<think>
</think>
P = 4320
R = 20%
Required population of town = P/(1 + R/100)^T
= 432... | 24,047 |
<|im_start|>user
What type of mammal gives birth to young that need to develop further in the mother's pouch after birth?
Answer choice: (A) humans (B) whales (C) marsupials (D) aborigines<|im_end|>
<|im_start|>assistant
<think>
</think>
Marsupials give birth to a tiny, immature embryo. The embryo then continues to g... | 11,512 |
<|im_start|>user
A computer factory produces 3024 computers per month at a constant rate, how many computers are built every 30 minutes assuming that there are 28 days in one month?
Answer Choices: (A) 2.25. (B) 3.125. (C) 4.5. (D) 5.225. (E) 6.25.<|im_end|>
<|im_start|>assistant
<think>
</think>
Number of hours in 2... | 44,950 |
<|im_start|>user
What serious sti can damage the heart, brain and other organs or even cause death, if untreated?
Answer choice: (A) herpes (B) syphilis (C) chlamydia (D) cirrhosis<|im_end|>
<|im_start|>assistant
<think>
</think>
Syphilis is a very serious STI. Luckily, it is less common than chlamydia or gonorrhea. ... | 1,352 |
<|im_start|>user
The average mark obtained by 22 candidates in an examination is 49. The average of the first ten is 55 while the last eleven is 40 .The marks obtained by the 11th candidate is ?
Answer Choices: (A) 22 (B) 0 (C) 99 (D) 88 (E) 66<|im_end|>
<|im_start|>assistant
<think>
</think>
It is clear that 22 x 49... | 22,723 |
<|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... | 1,389 |
<|im_start|>user
A small pool filled only with water will require an additional 300 gallons of water in order to be filled to 80% of its capacity. If pumping in these additional 300 gallons of water will increase the amount of water in the pool by 30%, what is the total capacity of the pool in gallons?
Answer Choices: ... | 32,722 |
<|im_start|>user
A and B can separately do apiece of work in 20 and 15 days respectively. They worked together for 6 days, after which B was replaced by C. If -the work was finished in next 4 days, then the number of days in which C alone could do the work will be
Answer Choices: (A) 60 (B) 40 (C) 35 (D) 30 (E) 65<|im_... | 39,193 |
<|im_start|>user
Rs.1500 is divided into two parts such that if one part is invested at 6% and the other at 5% the whole annual interest from both the sum is Rs.82. How much was lent at 5%?
Answer Choices: (A) 899 (B) 866 (C) 878 (D) 800 (E) 877<|im_end|>
<|im_start|>assistant
<think>
</think>
(x*5*1)/100 + [(1500 - ... | 76,301 |
<|im_start|>user
Organisms categorized by what species descriptor demonstrate a version of allopatric speciation and have limited regions of overlap with one another, but where they overlap they interbreed successfully?.
Answer choice: (A) surface species (B) fitting species (C) ring species (D) species complex<|im_end... | 7 |
<|im_start|>user
Kid have 8 black balls and 8white balls. He is trying to arrange a ball in a row then in how many ways can he arrange these balls in a row so that balls of different colors alternate?
Answer Choices: (A) (8!) ^2 (B) 2×(8!) (C) 2×(8!) ^2 (D) 2^2 (E) 3×(6!) ^2<|im_end|>
<|im_start|>assistant
<think>
</... | 36,905 |
<|im_start|>user
In what time will a train 100 m long cross an electric pole, it its speed be 144 km/hr?
Answer Choices: (A) 2.5 sec (B) 2.8 sec (C) 3.5 sec (D) 2.7 sec (E) 5.5 sec<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = 144 * 5/18 = 40 m/sec
Time taken = 100/40 = 2.5 sec.
The answer is A<|endoftext|... | 85,321 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Organisms, including people, have both inherited and acquired traits. Inherited and acquired traits are gained in different ways.
Inherited traits are passed down through families. Children gain these traits from their paren... | 4,397 |
<|im_start|>user
Which of the following leads to the correct mathematical solution for the number of ways that the letters of the word BANANA could be arranged to create a six-letter code?
Answer Choices: (A) 6! (B) 6! − (3! + 2!) (C) 6! − (3! × 2!) (D) 6!/(3! + 2!) (E) 6!/(3! × 2!) <|im_end|>
<|im_start|>assistant
... | 26,162 |
<|im_start|>user
A circular mat with diameter 22 inches is placed on a square tabletop, each of whose sides is 24 inches long. Which of the following is closest to the fraction of the tabletop covered by the mat?
Answer Choices: (A) 5/12 (B) 2/5 (C) 3/2 (D) 3/4 (E) 5/8<|im_end|>
<|im_start|>assistant
<think>
</think>
... | 11,530 |
<|im_start|>user
If x and y are integers and x=50y + 39, which of the following must be odd?
Answer Choices: (A) xy (B) x + y (C) 3X-1 (D) X+2Y (E) 3x+1<|im_end|>
<|im_start|>assistant
<think>
</think>
x = 50y + 69, since y is integer, 50y will always be even hence 50y + 69 will be odd hence x = odd
you don't know wh... | 34,055 |
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