text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
|---|---|
<|im_start|>user
Find the greatest number which leaves the same remainder when it divides 25, 57 and 105.
Answer Choices: (A) 18 (B) 8 (C) 12 (D) 16 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
105 - 57 = 48
57 - 25 = 32
105 - 25 = 80
The H.C.F of 32, 48 and 80 is 16.
The answer is D<|endoftext|... | 64,069 |
<|im_start|>user
While the numerical aperture can be used to compare resolutions of various objectives, it does not indicate how far the lens could be from the what?
Answer choice: (A) microscope (B) diameter (C) focal point (D) specimen<|im_end|>
<|im_start|>assistant
<think>
</think>
While the numerical aperture ca... | 6,336 |
<|im_start|>user
Which of the following number will completely divide (49^15)-1?
Answer Choices: (A) 8 is the number (B) 6 (C) 22 (D) 12 (E) 14<|im_end|>
<|im_start|>assistant
<think>
</think>
x^n - 1 will be divisible by x+1 only when n is even.
49^15 - 1 = (7^2)^15 - 1 = 7^30 - 1 which is divisible by 7+1 i.e. 8
Th... | 46,821 |
<|im_start|>user
What is the greatest integer m for which the number 20!/10^m is an integer?
Answer Choices: (A) 3 (B) 4 (C) 5 (D) 6 (E) 7<|im_end|>
<|im_start|>assistant
<think>
</think>
10^m = 2^m*5^m.
Let's figure out how many 5's are in the prime factorization of 20!
The multiples of 5 are: 5, 10, 15, 20.
Thus 5^... | 56,420 |
<|im_start|>user
A man can row upstream at 25 kmph and downstream at 35 kmph, and then find the speed of the man in still water?
Answer Choices: (A) 22 (B) 77 (C) 30 (D) 99 (E) 12<|im_end|>
<|im_start|>assistant
<think>
</think>
US = 25
DS = 35
M = (35 + 25)/2 = 30
The answer is C<|endoftext|> | 96,550 |
<|im_start|>user
list of salaries of 7 employees are listed below. What is the median salary?
$40,000, $29,000, $35,500, $31,000, $30,000, $27,000, $32,000
Answer Choices: (A) $28,000 (B) $28,500 (C) $30,200 (D) $31,000 (E) $31,500<|im_end|>
<|im_start|>assistant
<think>
</think>
Ordering the data from least to great... | 37,326 |
<|im_start|>user
Regulation of endocrine depends on the hypothalmus and what other gland?
Answer choice: (A) thyroid (B) pituitary (C) adrenal (D) salivary<|im_end|>
<|im_start|>assistant
<think>
</think>
45.3 The hypothalamus and pituitary are central to endocrine regulation.
The answer is B<|endoftext|> | 6,638 |
<|im_start|>user
In a car wheel, twenty spokes cover 120 degrees. Then for the entire car,how many spokes are there?
Answer Choices: (A) 240 (B) 340 (C) 440 (D) 540 (E) 640<|im_end|>
<|im_start|>assistant
<think>
</think>
given, 20 spokes cover 120degrees,
so for 360 degrees.---->360*20/120=60..
so, for entire car, 4... | 9,642 |
<|im_start|>user
How many of the factors of 280 are divisible by 2?
Answer Choices: (A) 4 (B) 8 (C) 10 (D) 12 (E) 16<|im_end|>
<|im_start|>assistant
<think>
</think>
280 = 2^3*5*7
The total number of factors is (1+3)(1+1)(1+1) = 16
The odd factors are 1, 5, 7, and 35.
The number of even factors is 16-4 = 12
The answe... | 88,402 |
<|im_start|>user
x^2-y^2= 16 and 2. xy=4 so find out x+y=? tell that both statement are required to find out the value of x+Y
Answer Choices: (A) 6 (B) 7 (C) 8 (D) 9 (E) 5<|im_end|>
<|im_start|>assistant
<think>
</think>
x^2-y^2= 16 = 25-9 =5^2-3^2
=> (x+y)*(x-y)=(5+3)*(5-3)
=> (x+y)=(5+3)=8
The answer is C<|endoftex... | 11,457 |
<|im_start|>user
If x is odd and y is odd, then xy,
Answer Choices: (A) Odd (B) Odd whenever x-y is even (C) Even whenever x+y is odd (D) Even (E) It cannot be determined<|im_end|>
<|im_start|>assistant
<think>
</think>
x is odd and y is odd, then xy is
Let's take x=7 and y=3.
x*y=7*3=21.
x*y=odd.
Option: A
The answe... | 52,871 |
<|im_start|>user
Anand and Deepak started a business investing Rs. 22,500 and Rs. 35,000 respectively. Out of a total profit of Rs. 13,800, Deepak’s share is :
Answer Choices: (A) Rs. 5400 (B) Rs.7200 (C) Rs. 8400 (D) Rs. 9600 (E) Rs. 8600<|im_end|>
<|im_start|>assistant
<think>
</think>
Ratio of their shares = 22500... | 82,840 |
<|im_start|>user
In a school of 320 students, 85 students are in the band, 200 students are on sports teams, and 60 students participate in both activities. How many students are involved in either band or sports?
Answer Choices: (A) 220 (B) 225 (C) 230 (D) 240 (E) 245<|im_end|>
<|im_start|>assistant
<think>
</think>
... | 11,923 |
<|im_start|>user
The ratio between the number of sheep and the number of horses at the Stewart farm is 1 to 7, If each horse is fed 230 ounces of horse food per day and the farm needs a total 12,880 ounces of horse food per day, what is the number of sheep in the farm?
Answer Choices: (A) 18 (B) 28 (C) 32 (D) 56 (E) 8<... | 76,874 |
<|im_start|>user
The cost of 16 pens and 8 pencils is Rs.352 and the cost of 4 pens and 4 pencils is Rs.96. Find the cost of each pen?
Answer Choices: (A) 33 (B) 88 (C) 66 (D) 88 (E) 20<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the cost of each pen and pencil be 'p' and 'q' respectively.
16p + 8q = 352 ---... | 23,688 |
<|im_start|>user
During a trip on an expressway, Don drove a total of x miles. His average speed on a certain 5-mile section of the expressway was 30 miles per hour, and his average speed for the remainder of the trip was 40 miles per hour. His travel time for the x-mile trip was what percent greater than it would have... | 81,158 |
<|im_start|>user
A man purchases 8 pens for Rs.9 and sells 9 pens for Rs.8, how much profit or loss does he make?
Answer Choices: (A) 15 (B) 66 (C) 88 (D) 1 (E) 12<|im_end|>
<|im_start|>assistant
<think>
</think>
90 * 10/60 = 15 kmph
The answer is A<|endoftext|> | 49,407 |
<|im_start|>user
Sam bought 2Q steaks for W dollars. Jerome buys R steaks for a 50% discount, how much will the steaks cost him in cents?
Answer Choices: (A) 50RW/Q. (B) 50QR/W. (C) 25RQ/W. (D) 25RW/Q. (E) RW/(4Q) .<|im_end|>
<|im_start|>assistant
<think>
</think>
Sam bought 2Q steaks for W dollars, so 1 steak = W/2Q... | 32,755 |
<|im_start|>user
Jamboree and GMAT Club Contest Starts
QUESTION #15:
How many words (with or without meaning) can be formed using all the letters of the word “SELFIE” so that the two E’s are not together?
Answer Choices: (A) 660 (B) 600 (C) 500 (D) 300 (E) 240<|im_end|>
<|im_start|>assistant
<think>
</think>
The... | 5,494 |
<|im_start|>user
Today John is 3 times older than Mark. If in 13 years, John will be one year younger than twice the age of Mark on that day, how old is Mark today?
Answer Choices: (A) 12 (B) 33 (C) 36 (D) 38 (E) 39<|im_end|>
<|im_start|>assistant
<think>
</think>
today +13yrs
J =3M 3M+13
M M+13
Given after 13yrs joh... | 20,093 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Formal writing is used for essays, business letters, and reports. The following types of informal language should be avoided in formal writing:
Type | Examples
slang | cool, awesome
idioms | knock your socks off
conversation... | 2,762 |
<|im_start|>user
A five-member committee is to be formed from a group of five military officers and nine civilians. If the committee must include at least two officers and two civilians, in how many different ways can the committee be chosen?
Answer Choices: (A) 119 (B) 1,200 (C) 3,240 (D) 3,600 (E) 14,400<|im_end|>
<|... | 28,859 |
<|im_start|>user
What is the term for organisms that live in extremely hot environments?
Answer choice: (A) thermophiles (B) hydrophylic (C) thermophobes (D) exothermic<|im_end|>
<|im_start|>assistant
<think>
</think>
The thermophiles live in extremely hot environments. For example, they can grow in hot springs, geys... | 2,263 |
<|im_start|>user
Swetha takes a trip and drives 8 hours from Town A to Town C at a rate of 40 miles per hour. On her way back, Swetha drives 30 miles per hour and stops in Town Y which is midway between Town A and Town C. How many hours does it take Swetha to drive from Town C to Town B?
Answer Choices: (A) 1.01 (B) 1.... | 5,588 |
<|im_start|>user
Which of the following is closest to (20!-19!)/(20!+19!)?
Answer Choices: (A) 1.25 (B) 0.9 (C) 2.1 (D) 0.3 (E) 1.69<|im_end|>
<|im_start|>assistant
<think>
</think>
(20!-19!)/(20!+19!)
19! (20-1)/19! (20+1)
19/21 = 0.9
B is
The answer is B<|endoftext|> | 52,464 |
<|im_start|>user
How many arrangements of the letters of the word ORANGES can be made, without changing the place of the vowels in the word?
Answer Choices: (A) 22 (B) 29 (C) 24 (D) 28 (E) 30<|im_end|>
<|im_start|>assistant
<think>
</think>
O,A,E fixed. Consonants can be arrangements in 4P4 = 4! = 24 ways
Option 'C'
... | 17,004 |
<|im_start|>user
To produce an annual income of Rs. 1200 from a 12 % stock at 90,the amount of stock needed is :
Answer Choices: (A) Rs. 10,000 (B) Rs. 10,800 (C) Rs. 14,400 (D) Rs. 16,000 (E) Rs. 46,000<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution
For an income of Rs. 12, stock needed = Rs. 100.
For an ... | 27,686 |
<|im_start|>user
If an object travels at six feet per second, how many feet does it travel in one hour?
Answer Choices: (A) 21600 (B) 3778 (C) 12788 (D) 18000 (E) 2881<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
If an object travels at 6 feet per second it covers 6x60 feet in one minute, and 6x60x60... | 65,658 |
<|im_start|>user
A train leaves New York City at 7.15 Am and arrives in Buffalo at 2.47 that afternoon. What total length of time does the trip take?
Answer Choices: (A) 7 h 92 min. (B) 7 h 32 min. (C) 7 h 12 min. (D) 8 h 32 min. (E) 5 h 32 min.<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
2.47 PM = ... | 86,914 |
<|im_start|>user
If logX = (logY)/2 = (logZ)/5, then X4.Y3.Z-2 =?
Answer Choices: (A) 2 (B) 10 (C) 1 (D) 0 (E) 3<|im_end|>
<|im_start|>assistant
<think>
</think>
(log X)/1 = (logY)/2 = (logZ)/5 = K
=> logX = K, log Y = 2k, log Z = 5K
Thus, log(X4.Y3.Z-2) = 4logX +3logY - 2logZ = 0.
=> X4.Y3.Z-2 = 1.
The answer is C<|... | 58,553 |
<|im_start|>user
January 1, 2008 is Monday. What day of the week lies on Jan 1, 2009?
Answer Choices: (A) Saturday (B) Wednesday (C) Thursday (D) Tuesday (E) Monday<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Number of odd days in 2008 = 2 (since it is a leap year)
(we have taken the complete year 2... | 52,316 |
<|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... | 2,065 |
<|im_start|>user
Which of the following is the product of two integers whose sum is 12?
Answer Choices: (A) -42 (B) -28 (C) 12 (D) 26 (E) 32<|im_end|>
<|im_start|>assistant
<think>
</think>
I solved this Question like this,
Let the two integers are x,y
x+y=12 (Given)
xy=? (Needed)
instead of solving this algebra... | 88,916 |
<|im_start|>user
The first plants probably evolved from what?
Answer choice: (A) aquatic green algae (B) dry green algae (C) moss (D) mould<|im_end|>
<|im_start|>assistant
<think>
</think>
The first plants probably evolved from aquatic green algae. They had male and female reproductive organs. However, they lacked tr... | 2,833 |
<|im_start|>user
Two trains are moving in the same direction at 72 kmph and 36 kmph. The faster train crosses a man in the slower train in 7 seconds. Find the length of the faster train?
Answer Choices: (A) 70 (B) 20 (C) 30 (D) 75 (E) 15<|im_end|>
<|im_start|>assistant
<think>
</think>
Relative speed = (72 - 36) * 5/... | 25,069 |
<|im_start|>user
A train , having a length of 165 meter is running at a speed of 60 kmph. In what time, it will pass a man who is running at 6 kmph in the direction opposite to that of the train
Answer Choices: (A) 9 sec (B) 8 sec (C) 6 sec (D) 4 sec (E) 2 sec<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanat... | 1,376 |
<|im_start|>user
Joe invested a certain sum of money in a simple interest bond whose value grew to $310 at the end of 3 years and to $410 at the end of another 5 years. What was the rate of interest in which he invested his sum?
Answer Choices: (A) 6% (B) 7% (C) 8% (D) 9% (E) 10%<|im_end|>
<|im_start|>assistant
<think>... | 78,502 |
<|im_start|>user
A money lender finds that due to a fall in the annual rate of interest from 8% to 7 2/5 % his yearly income diminishes by Rs.61.50. his capital is
Answer Choices: (A) 223.78 (B) 37.78 (C) 246.0 (D) 278.88 (E) 102.5<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Capital = Rs.x , then
3/... | 22,799 |
<|im_start|>user
In a jar there are 28 white balls, 30 green balls and 42 blue balls. How many balls must be taken out in order to make sure we have 25 balls of the same color?
Answer Choices: (A) a) 23 (B) b) 46 (C) c) 57 (D) d) 71 (E) e) 77<|im_end|>
<|im_start|>assistant
<think>
</think>
Here, we need to find... | 29,980 |
<|im_start|>user
During a trip, Francine traveled x percent of the total distance at an average speed of 25 miles per hour and the rest of the distance at an average speed of 50 miles per hour. In terms of x, what was Francine's average speed for the entire trip?
Answer Choices: (A) (180-x) /2 (B) (x+60) /4 (C) (300-x)... | 34,573 |
<|im_start|>user
A music band that must consists of 4 members is to be formed from a pool of 9 candidates. How many different bands are possible
Answer Choices: (A) 100 (B) 144 (C) 126 (D) 56 (E) 336<|im_end|>
<|im_start|>assistant
<think>
</think>
Note that the band must consist of 4 members, not at least 4 members.... | 25,097 |
<|im_start|>user
A and B can do a piece of work in 7 days. With the help of C they finish the work in 5 days. C alone can do that piece of work in?
Answer Choices: (A) 76 days (B) 86 days (C) 30 days (D) 57 days (E) 46 days<|im_end|>
<|im_start|>assistant
<think>
</think>
C = 1/5 – 1/6 = 1/30
=> 30 days
The answer is... | 35,410 |
<|im_start|>user
62467 × 9998 = ?
Answer Choices: (A) 624545037 (B) 627745452 (C) 624545077 (D) 624545066 (E) 625454211<|im_end|>
<|im_start|>assistant
<think>
</think>
D
624545066
62467 × 9998 = 62467 × (10000 - 2)
= 62467 × 10000 - 62467 × 2
= 624670000 - 124934
= 624545066
The answer is D<|endoftext|> | 15,219 |
<|im_start|>user
Two numbers are in the ratio 1:2, if 7 is added to both, their ratio changes to 3:5. The greatest number is
Answer Choices: (A) 24 (B) 26 (C) 28 (D) 32 (E) 44<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the numbers be x and 2x
Then, (x+7)/(2x+7)=3/5
X=14
There fore answer is 28
The answer is... | 32,016 |
<|im_start|>user
A train sets off at 2 p.m. at the speed of 70 kmph. Another train starts at 3:30 p.m. in the same direction at the rate of 85 kmph. At what time the trains will meet?
Answer Choices: (A) 10.18 p.m (B) 10.29 p.m (C) 10.30 p.m (D) 10.38 p.m (E) 10.32 p.m<|im_end|>
<|im_start|>assistant
<think>
</think>
... | 62,331 |
<|im_start|>user
A man bought 40 shares of Rs. 60 at 5 discount, the rate of dividend being 12%The rate of interest obtained is
Answer Choices: (A) 13.09% (B) 15.5% (C) 14% (D) 14.25% (E) 14.95%<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
Face Value of a share = Rs.60
He bought each share at Rs.60 ... | 26,266 |
<|im_start|>user
4,5,9,18,34,?
Answer Choices: (A) 49 (B) 59 (C) 48 (D) 50 (E) 52<|im_end|>
<|im_start|>assistant
<think>
</think>
5-4=1
9-5=4
18-9=9
34-18=16
so, 34+25=59
The answer is B<|endoftext|> | 81,614 |
<|im_start|>user
A car traveled from San Diego to San Francisco at an average speed of 54 miles per hour. If the journey back took twice as long, what was the average speed of the trip?
Answer Choices: (A) 24. (B) 32. (C) 36. (D) 42. (E) 44.<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the time taken be = x
O... | 15,850 |
<|im_start|>user
Given the two equations 7r + 2s = 43 and 4r - 3s = 8, by how much does r exceed s?
Answer Choices: (A) 3 (B) 1 (C) 5 (D) 6 (E) 7<|im_end|>
<|im_start|>assistant
<think>
</think>
Solve by Simultaneous Equations.
My Answer is B.
r=5
s=4
The answer is B<|endoftext|> | 13,049 |
<|im_start|>user
A certain jeans in a shop was marked down 30% the first week and another 20% the next week. What percent of the regular price was the final cost of the jeans after the two markdowns?
Answer Choices: (A) 30% (B) 36% (C) 40% (D) 56% (E) 60%<|im_end|>
<|im_start|>assistant
<think>
</think>
If the price ... | 67,403 |
<|im_start|>user
At what rate percent on simple interest will a sum of money double itself in 50 years?
Answer Choices: (A) 3 1/3% (B) 3 1/9% (C) 3 9/3% (D) 2% (E) 3 6/3%<|im_end|>
<|im_start|>assistant
<think>
</think>
P = (P*50*R)/100
R = 2%
The answer is D<|endoftext|> | 92,354 |
<|im_start|>user
The output of a factory is increased by 10% to keep up with rising demand. To handle the holiday rush, this new output is increased by 10%. By approximately what percent would the output of the factory now have to be decreased in order to restore the original output?
Answer Choices: (A) 17% (B) 24% (C)... | 68,501 |
<|im_start|>user
By selling an article at $800, a shopkeeper makes a profit of 25%. At what price should he sell the article so as to make a loss of 25%?
Answer Choices: (A) $580 (B) $450 (C) $480 (D) $400 (E) $440<|im_end|>
<|im_start|>assistant
<think>
</think>
C
$480
SP = 800
Profit = 25%
CP = (SP)*[100/(100+P)]
=... | 72,049 |
<|im_start|>user
The sale price sarees listed for Rs.278 after successive discount is 18% and 19% is?
Answer Choices: (A) 321 (B) 276 (C) 342 (D) 265 (E) 198<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
278*(88/100)*(81/100) = 198
The answer is E<|endoftext|> | 86,970 |
<|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) 2882 (B) 2672 (C) 2288 (D) 2500 (E) 1288<|im_end|>
<|im_start|>assistant
<think>
</think>
Let's Anil's sal... | 45,082 |
<|im_start|>user
Place a number in each of the following empty
boxes so that the sum of the numbers in any 3
consecutive boxes is 2015. What is the number
that should go in the box with the question
mark?
Answer Choices: (A) 684 (B) 567 (C) 892 (D) 431 (E) 999<|im_end|>
<|im_start|>assistant
<think>
</think>
To help ... | 77,503 |
<|im_start|>user
Mrs. Rodger got a weekly raise of $145. If she gets paid every other week, write an integer describing how the raise will affect her paycheck.
Answer Choices: (A) 140 (B) 130 (C) 120 (D) 150 (E) 145<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the 1st paycheck be x (integer).
Mrs. Rodger got ... | 11,423 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Present tense verbs tell you about something that is happening now.
Most present-tense verbs are regular. They have no ending, or they end in -s or -es.
Two verbs are irregular in the present tense, to be and to have. You mu... | 2,372 |
<|im_start|>user
If $0.2 is commission for sales of $1,000, what percent of sales amount is the commission?
Answer Choices: (A) 2% (B) 0.2% (C) 0.02% (D) 0.002% (E) 0.0002%<|im_end|>
<|im_start|>assistant
<think>
</think>
% of sales amount of commission = (Commission/Total Value) *100 = (0.2/1000) * 100 = 0.02%.
The ... | 35,692 |
<|im_start|>user
I have a three digit number in my mind. In that number, the tens digit is seven more than the ones digit and the hundreds digit is six less than the tens digit.
What is the number?
Answer Choices: (A) 281 (B) 239 (C) 254 (D) 276 (E) 277<|im_end|>
<|im_start|>assistant
<think>
</think>
A
281
The answe... | 90,742 |
<|im_start|>user
Rs.770 were divided among A,B,C in such a way that A had Rs.40 more than B and C had Rs 30 more than A . How much was B’s share?
Answer Choices: (A) Rs.260 (B) Rs.270 (C) Rs.280 (D) Rs.290 (E) Rs.300<|im_end|>
<|im_start|>assistant
<think>
</think>
Let B gets Rs x. Then We can say A gets Rs (x + 40... | 43,494 |
<|im_start|>user
The banker's discount on Rs.1450 due a certain time hence is Rs.145. Find the true discount and the banker's gain.
Answer Choices: (A) 13 (B) 15 (C) 18 (D) 21 (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution
Sum =B.D x T.D/ B.D - T.D
= B.D x T.D/ B.G
T.D / B. G =Sum / B.D
= 1450 / 1... | 80,782 |
<|im_start|>user
If a train, travelling at a speed of 90 kmph, crosses a pole in 6 sec, then the length of train is?
Answer Choices: (A) 281 m (B) 112 m (C) 117 m (D) 125 m (E) 150 m<|im_end|>
<|im_start|>assistant
<think>
</think>
E
E = 90 * 5/18 * 6 = 150 m
The answer is E<|endoftext|> | 65,302 |
<|im_start|>user
Of the three- digit integers greater than 700, how many have two digits T that are equal to each other and the remaining digit different from the other two?
Answer Choices: (A) 90 (B) 82 (C) 80 (D) 45 (E) 36<|im_end|>
<|im_start|>assistant
<think>
</think>
three-digit integers greater than 700: 701 t... | 40,402 |
<|im_start|>user
How many three letter words are formed using the letters of the word MARRIAGE?
Answer Choices: (A) 326 (B) 429 (C) 226 (D) 336 (E) 280<|im_end|>
<|im_start|>assistant
<think>
</think>
The number of letters in the given word is eight.
The number of three letter words that can be formed using these fou... | 9,579 |
<|im_start|>user
In what time will a train 100 m long cross an electric pole, it its speed be 90 km/hr?
Answer Choices: (A) 2.5 sec (B) 2.9 sec (C) 3.5 sec (D) 4 sec (E) 2.4 sec<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = 90 * 5/18 = 25 m/sec
Time taken = 100/25
= 4 sec.
The answer is D<|endoftext|> | 25,941 |
<|im_start|>user
On average, activated yeast cells divide once every 120 minutes; that is, each individual cell divides into two individual cells over that time span. Given that a certain yeast colony consisted of 180,000 cells two hours ago, approximately how many cells will be populating the colony six hours from now... | 69,872 |
<|im_start|>user
Sarah makes handmade jewelry. This month she has created 253 necklaces. If she distributes her jewelry evenly to the 6 jewelry stores in town, how many necklaces remain with her?
Answer Choices: (A) 0 necklaces (B) 1 necklace (C) 2 necklaces (D) 3 necklaces (E) 4 necklaces<|im_end|>
<|im_start|>assista... | 43,544 |
<|im_start|>user
A coin is tossed 4 times. What is the probability a that the number of Heads is equal to the number of Tails?
Answer Choices: (A) 1/8 (B) 1/4 (C) 3/8 (D) 1/2 (E) 9/16<|im_end|>
<|im_start|>assistant
<think>
</think>
We have to find the probability that we get 2 heads and 2 tails in 4 tosses of the co... | 29,411 |
<|im_start|>user
A fruit seller had some oranges. He sells 40% oranges and still has 600 oranges. How many oranges he had originally?
Answer Choices: (A) 700 (B) 710 (C) 1000 (D) 730 (E) 740<|im_end|>
<|im_start|>assistant
<think>
</think>
60% of oranges = 600
100% of oranges =(600×100)/6=1000
total oranges = 1000
Th... | 87,766 |
<|im_start|>user
Sreedhar and Sravan together can do a work in 25 days. With the help of Pavan, they completed the work in 8 days and earned Rs. 225. What is the share of Sravan, if Sreedhar alone can do the work in 75 days?
Answer Choices: (A) 33 (B) 77 (C) 48 (D) 99 (E) 12<|im_end|>
<|im_start|>assistant
<think>
</t... | 17,889 |
<|im_start|>user
A mixture of 150 liters of wine and water contains 20% water. How much more water should be added so that water becomes 25% of the new mixture?
Answer Choices: (A) 5 (B) 18 (C) 12 (D) 24 (E) 10<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Number of liters of water in150 liters of the... | 15,698 |
<|im_start|>user
A rectangular-shaped carpet that measures x feet by y feet is priced at $24. What is the cost of the carpet, in dollars per square yard? (1 square yard = 9 square feet)
Answer Choices: (A) 180xy (B) 216/(xy) (C) 20xy (D) 20xy/9 (E) xy/180<|im_end|>
<|im_start|>assistant
<think>
</think>
The area of ... | 31,031 |
<|im_start|>user
The average (arithmetic mean) of 7 numbers is 7. If 3 is added from each of 5 of the numbers, what is the new average?
Answer Choices: (A) 7.3 (B) 5.6 (C) 4.6 (D) 9.1 (E) 8.9<|im_end|>
<|im_start|>assistant
<think>
</think>
Sum of 8 numbers = 7*7=49
If 3 is added from each of five of the numbers , we... | 73,109 |
<|im_start|>user
Suganya and Suriya are partners in a business. Suganya invests Rs. 35,000 for 8 months and Suriya invests Rs.42,000 for 10 months. Out of a profit of Rs.30,570. Suganya's share is
Answer Choices: (A) Rs.9471 (B) Rs.12,628 (C) Rs.262.8 (D) Rs.241.7 (E) None<|im_end|>
<|im_start|>assistant
<think>
</thi... | 23,973 |
<|im_start|>user
A father in his will left all his money to his children in the following manner:
$1000 to the first born and 1/10 of what then remains, then
$2000 to the second born and 1/10 of what then remains, then
$3000 to the third born and 1/10 of what then remains, and so on.
When this was done each child had t... | 71,198 |
<|im_start|>user
When a commodity is sold for $34.80, there is a loss of 2%. what is the cost price of the commodity?
Answer Choices: (A) $46.40 (B) $48 (C) $42.60 (D) $43.45 (E) $52.60<|im_end|>
<|im_start|>assistant
<think>
</think>
s.p. = $34.80
loss = 2%
c.p. = 100*34.80/75 = $46.40
correct option is A
The answer... | 57,904 |
<|im_start|>user
Three numbers are in the ratio 1 : 2 : 3 and their H.C.F is 12. The numbers are
Answer Choices: (A) 12, 24, 30 (B) 12, 24, 38 (C) 12, 24, 362 (D) 12, 24, 36 (E) 12, 24, 321<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Let the required numbers be x, 2x, 3x. Then, their H.C.F =x. so, x... | 11,051 |
<|im_start|>user
Sixty five percent of a number is 21 less than four fifth of that number. What is the number
Answer Choices: (A) 140 (B) 165 (C) 150 (D) 142 (E) 174<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the number be x.
Then, 4*x/5 –(65% of x) = 21
4x/5 –65x/100 = 21
5 x = 2100
x = 140.
The answer is ... | 37,995 |
<|im_start|>user
What is the place value of 6 in the numeral 6259
Answer Choices: (A) A) 2700 (B) B) 2800 (C) C) 6000 (D) D) 2980 (E) E) 3000<|im_end|>
<|im_start|>assistant
<think>
</think>
6 * 1000 = 6000
C
The answer is C<|endoftext|> | 28,718 |
<|im_start|>user
A car covers a distance of 624 km in 6 ½ hours. Find its speed?
Answer Choices: (A) 104 kmph (B) 776 kmph (C) 886 kmph (D) 887 kmph (E) 665 kmph<|im_end|>
<|im_start|>assistant
<think>
</think>
624/6 = 104 kmph
The answer is A<|endoftext|> | 1,132 |
<|im_start|>user
A welder received an order to make a 1 million liter cube-shaped tank. If he has only 4x2 meter sheets of metal that can be cut, how many metal sheets will be required for this order R? (1 cubic meter = 1,000 liters)
Answer Choices: (A) 92 (B) 90 (C) 82 (D) 78 (E) 75<|im_end|>
<|im_start|>assistant
<th... | 96,003 |
<|im_start|>user
A car traveling with 5/7 of its actual speed covers 42 km in 1 hr 40 min 48 sec. What is the actual speed of the car?
Answer Choices: (A) 20 (B) 25 (C) 27 (D) 30 (E) 35<|im_end|>
<|im_start|>assistant
<think>
</think>
Time = 1 hr 40 min 48 sec = 1hr +40/60hr+48/3600hr=1+2/3+1/75=126/75hr
distance = 4... | 95,102 |
<|im_start|>user
Two trains T1 and T2 start simultaneously from two stations X and Y respectively towards each other. If
they are 50 km apart both 3 and 6 hours after start, then find the distance between the two stations.
Answer Choices: (A) 190km (B) 200km (C) 220km (D) 180km (E) 150km<|im_end|>
<|im_start|>assistant... | 22,290 |
<|im_start|>user
After doing 3/5 of the Biology homework on Monday night, Sanjay did 1/3 of the remaining homework on Tuesday night. What fraction of the original homework would Sanjay have to do on Wednesday night to complete the Biology assignment ?
Answer Choices: (A) 1/15 (B) 2/15 (C) 4/15 (D) 2/5 (E) None of these... | 48,457 |
<|im_start|>user
In 2010, Arman’s birthday was on a Thursday. What day of the week was it 65 days after his birthday?
Answer Choices: (A) Thursday (B) Friday (C) Saturday (D) Sunday (E) Monday<|im_end|>
<|im_start|>assistant
<think>
</think>
Day of week after 65 days after Arman's birthday = 7*9 + 2
Saturday as the p... | 59,301 |
<|im_start|>user
Insert the missing number
4, -12, 36, -108, 324, (....)
Answer Choices: (A) -972 (B) -972 (C) 452 (D) -452 (E) 0<|im_end|>
<|im_start|>assistant
<think>
</think>
4*-3=-12
-12*-3=36
36*-3=-108
-108*-3=324
324*-3=-972
The answer is A<|endoftext|> | 7,823 |
<|im_start|>user
Found in cord blood and other sources, what kind of cells hold the promise of renewing and repairing body tissues?
Answer choice: (A) red blood cells (B) white blood cells (C) neurons (D) stem cells<|im_end|>
<|im_start|>assistant
<think>
</think>
Stem Cell Research Stem cell research aims to find wa... | 4,454 |
<|im_start|>user
Many species secrete a hard external skeleton of what?
Answer choice: (A) sodium bicarbonate (B) calcium carbonate (C) hydrogen carbonate (D) carbon dioxide<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is B<|endoftext|> | 3,970 |
<|im_start|>user
Coffee worth amount Rs. 126 per kg are mixed with third variety in the ratio 1: 1 : 2. If the mixture is worth Rs. 153 per kg, the price of the third variety per kg
Answer Choices: (A) 175.5 (B) 200.5 (C) 125.5 (D) 225.5 (E) 250.5<|im_end|>
<|im_start|>assistant
<think>
</think>
x==>153/22.50 = 1 => ... | 72,964 |
<|im_start|>user
Thomas and Matt has some money with them in the ratio of 3:4. If their father gives Rs.30 to each of them then the ratio becomes 4:5. What would be the ratio if Thomas spend Rs.40 and Matt spend Rs. 20 from what they have now?
Answer Choices: (A) 1:2 (B) 2:3 (C) 3:4 (D) 4:5 (E) 5:6<|im_end|>
<|im_start... | 20,299 |
<|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... | 3,849 |
<|im_start|>user
When referring to genes, what term describes the property of having multiple phenotypic effects?
Answer choice: (A) pleiotrophy (B) archetype (C) xerophyte (D) prototype<|im_end|>
<|im_start|>assistant
<think>
</think>
Many genes have multiple phenotypic effects, a property called pleiotropy.
The ans... | 5,063 |
<|im_start|>user
If |x| = 4x - 2, then x = ?
Answer Choices: (A) 1 (B) 1/2 (C) 1 and 1/2 (D) -1/2 (E) 3<|im_end|>
<|im_start|>assistant
<think>
</think>
Approach:
Substituted option A i.e x=3. Inequality satisfied.
E
The answer is E<|endoftext|> | 46,578 |
<|im_start|>user
Out of a total of 1,000 employees at a certain corporation, 52 percent are female and 40 percent of these females work in research. If 65 percent of the total number of employees work in research, how many male employees do NOT work in research?
Answer Choices: (A) 520 (B) 480 (C) 392 (D) 208 (E) ... | 14,767 |
<|im_start|>user
What is the term for when organisms need other organisms to survive?
Answer choice: (A) intradependence (B) realization (C) interdependence (D) coexistence<|im_end|>
<|im_start|>assistant
<think>
</think>
All living things depend on their environment to supply them with what they need, including food... | 5,436 |
<|im_start|>user
A trader mixes 26 kg of rice at Rs. 20 per kg with 30 kg of rice of other variety at Rs. 36 per kg and sells the mixture at Rs. 36 per kg. His profit percent is:
Answer Choices: (A) No profit, no loss (B) 26% (C) 8% (D) 10% (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanatio... | 37,642 |
<|im_start|>user
A father purchase dresses for his three daughters.The dresses are of same color but of different size. The dress is kept in dark room.What is the probability that all the three will not choose their own dress.
Answer Choices: (A) 1/3 (B) 2/3 (C) 4/3 (D) 5/3 (E) 6/3<|im_end|>
<|im_start|>assistant
<thin... | 83,255 |
<|im_start|>user
For an upcoming charity event, a male vocalist has agreed to sing 7 out of 9 “old songs” and 5 out of 8 “new songs.” How many ways can the singer make his selection?
Answer Choices: (A) 25 (B) 50 (C) 150 (D) 480 (E) 161.28<|im_end|>
<|im_start|>assistant
<think>
</think>
=9C7*8C5
=9*8/5*8*7/5
=161.28... | 11,696 |
<|im_start|>user
Simplfy
b - [b -(a+b) - {b - (b - a+b)} + a]
Answer Choices: (A) a (B) 2a (C) 4a (D) 0 (E) 1<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
b-[b-(a+b)-{b-(b-a+b)}+a]
=b-[b-a-b-{b-(2b-a)}+a]
=b-[-a-{b-2b+a}+a]
=b-[-a-{-b+a}+a]
=b-[-a+b-a+a]
=b-[-2a+b+a]
=b-b+a
=a
Option A
The answer is ... | 55,988 |
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