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# Which of the following fractions has the least value?

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Senior Manager
Joined: 18 Feb 2019
Posts: 385
Location: India
GMAT 1: 460 Q42 V13
GPA: 3.6
Which of the following fractions has the least value?  [#permalink]

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10 Apr 2019, 12:30
00:00

Difficulty:

95% (hard)

Question Stats:

33% (02:55) correct 67% (01:27) wrong based on 21 sessions

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Which of the following fractions has the least value?

A. 1/7^2×9^2
B. 49/7^3×9^2
C. 63/7^2×9^3
D. 27/7^2×9^4
E. 343/7^5×9^3
Manager
Joined: 12 Sep 2017
Posts: 247
Which of the following fractions has the least value?  [#permalink]

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11 Apr 2019, 18:05
Prime factorize and compare

A $$\frac{1}{(7^2)(2^2)(3^4)}$$ --- HOLD

B $$\frac{7}{(3^2)(2)}$$ --- OUT

C $$\frac{1}{6}$$ --- OUT

D $$\frac{3}{(7)(2^3)}$$ --- OUT

E $$\frac{1}{(7^2)(3^6)}$$ --- HOLD

Both A & E have (7^2) but (3^6)>(2^2)(3^4).

E
Which of the following fractions has the least value?   [#permalink] 11 Apr 2019, 18:05
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