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Difficulty:
5%
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Question Stats:
88% (00:56) correct
12%
(01:11)
wrong
based on 2428
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\(\frac{31}{125} =\)
(A) 0.248
(B) 0.252
(C) 0.284
(D) 0.312
(E) 0.320
_________________
(A) 0.248
(B) 0.252
(C) 0.284
(D) 0.312
(E) 0.320
Solving this question helps.
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SOLUTION
\(\frac{31}{125} =\)
(A) 0.248
(B) 0.252
(C) 0.284
(D) 0.312
(E) 0.320
\(\frac{31}{125} =\frac{31*8}{125*8} =\frac{248}{1000} =0.248\).
Answer: A.
_________________
\(\frac{31}{125} =\)
(A) 0.248
(B) 0.252
(C) 0.284
(D) 0.312
(E) 0.320
\(\frac{31}{125} =\frac{31*8}{125*8} =\frac{248}{1000} =0.248\).
Answer: A.
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• Rules: Quantitative | Verbal
For the sake of time, we approximate 31 to 30. 30/125 = 6/25.
We multiply the fraction by 4 to get the denominator to 100 -> 24/100 = 24% = 0.24.
Since we rounded numerator down, the answer is a bit undervalued so the closest answer is (A). 0.248.
We multiply the fraction by 4 to get the denominator to 100 -> 24/100 = 24% = 0.24.
Since we rounded numerator down, the answer is a bit undervalued so the closest answer is (A). 0.248.
General Discussion
arunspanda
Joined: 04 Oct 2013
Last visit: 31 Oct 2021
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\(\frac{31}{125} =\)
(A) 0.248
(B) 0.252
(C) 0.284
(D) 0.312
(E) 0.320
\(\frac{31}{125} = \frac{31*8}{125*8} = \frac{248}{1000} = 0.248\)
Answer: (A)
(A) 0.248
(B) 0.252
(C) 0.284
(D) 0.312
(E) 0.320
\(\frac{31}{125} = \frac{31*8}{125*8} = \frac{248}{1000} = 0.248\)
Answer: (A)
125 can simply be written as 1000/8
multiply 8 with 31 to get 248
divide it by 1000 to get .248
answer is A
simple one
multiply 8 with 31 to get 248
divide it by 1000 to get .248
answer is A
simple one
Bunuel
why do you choose to times by 8?
sabxu1
The options are in decimals. To transform a fraction to decimal the denominator must be some power of 10. 125*8 = 1000.
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Bunuel
do you times i by 8 because you want to get to an easy number such as 1000?
sabxu1
As I said, we multiply by 8 to get in the denominator some power of 10 to transform the fraction into the decimal easily.
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Posts: 1,776
sabxu1
Since the options are all in the decimal forms, we need to divide the numerator by denominator.
If we have a calculator, we can directly divide it. But since we are not allowed a calculator, we need to make our lives simpler.
Hence we try to bring denominator in a form by which the division becomes easier.
125 = 5^3
If we multiply 5^3 by 2^3, we get 10^3 or 1000 and then we can easily divide.
Hope this clarifies your doubt.
Abhishek009
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GPA: 3.5
WE:Business Development (Commercial Banking)
Posts: 5,880
Bunuel
\(\frac{31}{125}\)
\(~ \frac{31}{124}\)
\(=\frac{1}{4}\)
\(=0.25\)
Thus, answer will be (A) 0.248
_________________
In case someone is interested in a more detailed approach.
\(\frac{31}{125} = \frac{30}{125}+\frac{1}{125} \\
\\
= \frac{6}{25}+\frac{1}{125} \\
\\
= \frac{5}{25} + \frac{1}{25} + \frac{1}{125} \\
\\
= \frac{1}{5}+ \frac{1}{25} + \frac{1}{125}\)
\(= 0.2 + \frac{0.2}{5}+ \frac{1}{125} = 0.2 +0.04 + \frac{1}{125} = 0.24 + \frac{1}{125}\)
= a little over 0.24
= Option A
\(\frac{31}{125} = \frac{30}{125}+\frac{1}{125} \\
\\
= \frac{6}{25}+\frac{1}{125} \\
\\
= \frac{5}{25} + \frac{1}{25} + \frac{1}{125} \\
\\
= \frac{1}{5}+ \frac{1}{25} + \frac{1}{125}\)
\(= 0.2 + \frac{0.2}{5}+ \frac{1}{125} = 0.2 +0.04 + \frac{1}{125} = 0.24 + \frac{1}{125}\)
= a little over 0.24
= Option A
Abhishek009
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Last visit: 17 Dec 2025
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WE:Business Development (Commercial Banking)
Posts: 5,880
Bunuel
\(\frac{31}{125}\)
Or, \(\frac{31}{124}=\frac{1}{4} = 0.25\)
Since we have approximated 125 as 124, 0.25 will be slightly less than 0.25 ie, 0.248, Answer must be (A)
_________________
Posts: 5,201
Quote:
Hello, people. A good way to do this is not to do long division but to multiply instead.
A quick thing we can leverage is the fact the denominator is 125. If we notice that 125 x 8 = 1000, we can simply multiply the numerator by 8 as well - and that way know the digits involved in the decimal.
31 x 8 = 248
248/1000
(A) is your answer.
GMAT 1: 750 Q49 V42
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