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Which has the largest value?

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Senior Manager
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Which has the largest value?  [#permalink]

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New post 17 Mar 2017, 00:43
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

77% (02:13) correct 23% (01:39) wrong based on 58 sessions

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Which has the largest value?

a) 1/5 +1/5+ 1/5

b) 3/5*2/5 – 4/5*1/5

c) (½)^3 + (1/2)^2 + (1/2)^1

d) ½ +1/3 +1/6+1/8

e) 1/9 * (1/3+9/27+9/12)

Source: www.f1gmat.com
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Re: Which has the largest value?  [#permalink]

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New post 17 Mar 2017, 02:39
vikasp99 wrote:
Which has the largest value?

a) 1/5 +1/5+ 1/5

b) 3/5*2/5 – 4/5*1/5

c) (½)^3 + (1/2)^2 + (1/2)^1

d) ½ +1/3 +1/6+1/8

e) 1/9 * (1/3+9/27+9/12)

Source: http://www.f1gmat.com


Fairly easy, sort of a spoiling question.

a - \(1/5 + 1/5 + 1/5 = 3/5\)

b - \(3/5*2/5 – 4/5*1/5\) \(= 6/25 + 4/25 = 10/25 = 2/5\) - smaller than a so definitely ignore this one.

c - \(1/2)^3 + (1/2)^2 + (1/2)^1 = 1/8 + 1/4 + 1/2 = (1+2+4)/8 = 7/8\) - rule out a and b since this one is larger than both

d - \(1/2 +1/3 +1/6+1/8\) = \((12+8+4+3)/24 = 27/24 = 9/8\) - larger than previous 3 so this is our largest so far.

e - \(1/9 * (1/3+9/27+9/12)\) = \(1/9 * (2/3 + 3/4)\) - whatever sum in bracket is, divided by 9 is definitely smaller than d so D is our answer.
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Re: Which has the largest value? &nbs [#permalink] 17 Mar 2017, 02:39
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