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Which has the least value?

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Bunuel
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Which has the least value? [#permalink] New post   19 Apr 2017, 00:41
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A
B
C
D
E

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45% (medium)

Question Stats:

64% (01:53) correct 36% (01:52) wrong based on 210 sessions
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Which has the least value?

A. \(\frac{8}{(2^3)(5^2)}\)

B. \(\frac{10}{(2^2)(5^3)}\)

C. \(\frac{28}{(2^3)(5^3)}\)

D. \(\frac{16}{(2^2)(5^2)}\)

E. \(\frac{140}{(2^4)(5^3)}\)
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B
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amanvermagmat
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Re: Which has the least value? [#permalink] New post   20 May 2017, 03:48
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We can take out (2^2)(5^2) common from all denominators (this is the HCF of all denominators).
Then we are left with:

A) 8/2 = 4
B) 10/5 = 2
C) 28/(2*5) = 2.8
D) 16/1 = 16
E) 140/(2^2 * 5) = 7

Clearly B is the smallest. Hence B
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Shiv2016
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Re: Which has the least value? [#permalink] New post   19 Apr 2017, 02:39
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Method:
A) 1/25
B) 1/50
C) 7/250
D) 4/25
E) 7/200

We can eliminate two options just by comparing fractions and the options are A and E because 1/25>1/50 and 7/200>7/250.

Options left B,C, and D.

I took the LCM of the three fractions as 500 and the fractions are:
B) 10/500
C) 14/500
D) 80/500

B <C<D

This is the method I followed to solve this question. What are some quick methods to solve fraction questions?
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ehsan090
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Re: Which has the least value? [#permalink] New post   20 Apr 2017, 11:37
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I opt for B
Time taken: 1:42 should be maximum 1:20
Denominator must be greater
I eliminated A,D straight away
other option
B<C<E
1/50<7/250<7/100
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exc4libur
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Re: Which has the least value? [#permalink] New post   16 Aug 2019, 16:38
Bunuel wrote:
Which has the least value?

A. \(\frac{8}{(2^3)(5^2)}\)
B. \(\frac{10}{(2^2)(5^3)}\)
C. \(\frac{28}{(2^3)(5^3)}\)
D. \(\frac{16}{(2^2)(5^2)}\)
E. \(\frac{140}{(2^4)(5^3)}\)


A. \(\frac{8}{(2^3)(5^2)}=\frac{8}{(10^2)(2)}…=\frac{40}{(10^3)}\)
B. \(\frac{10}{(2^2)(5^3)}=\frac{10}{(10^2)(5)}…=\frac{20}{(10^3)}\)
C. \(\frac{28}{(2^3)(5^3)}=\frac{28}{(10^3)}\)
D. \(\frac{16}{(2^2)(5^2)}=\frac{16}{(10^2)}=\frac{160}{(10^3)}\)
E. \(\frac{140}{(2^4)(5^3)}=\frac{140}{(10^3)(2)}=\frac{70}{(10^3)}\)

Answer (B).
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Re: Which has the least value? [#permalink]
16 Aug 2019, 16:38
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