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# Which has the least value?

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Math Expert
Joined: 02 Sep 2009
Posts: 52390
Which has the least value?  [#permalink]

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18 Apr 2017, 23:41
00:00

Difficulty:

65% (hard)

Question Stats:

58% (01:54) correct 42% (01:56) wrong based on 200 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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Director
Joined: 02 Sep 2016
Posts: 678
Re: Which has the least value?  [#permalink]

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19 Apr 2017, 01:39
1
2
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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Manager
Joined: 08 Oct 2016
Posts: 204
Location: United States
Concentration: General Management, Finance
GPA: 2.9
WE: Engineering (Telecommunications)
Re: Which has the least value?  [#permalink]

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20 Apr 2017, 10:37
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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Got Q42,V17
Target#01 Q45,V20--April End

DS Forum Moderator
Joined: 21 Aug 2013
Posts: 1434
Location: India
Re: Which has the least value?  [#permalink]

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20 May 2017, 02:48
1
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
Re: Which has the least value? &nbs [#permalink] 20 May 2017, 02:48
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