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# If F < 0, which of the following represents the largest value?

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Math Expert
Joined: 02 Sep 2009
Posts: 58327
If F < 0, which of the following represents the largest value?  [#permalink]

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13 Mar 2018, 01:40
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Difficulty:

45% (medium)

Question Stats:

63% (01:33) correct 37% (01:13) wrong based on 68 sessions

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If F < 0, which of the following represents the largest value?

A. (2F - 5)/2

B. (4F - 1)/4

C. (6F - 2)/6

D. (7F - 5)/7

E. F - 1

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If F < 0, which of the following represents the largest value?  [#permalink]

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13 Mar 2018, 01:47
Bunuel wrote:
If F < 0, which of the following represents the largest value?

A. (2F - 5)/2

B. (4F - 1)/4

C. (6F - 2)/6

D. (7F - 5)/7

E. F - 1

This is a classic problem for number-picking, we'll just need to make sure not to confuse our calculations.
This is an Alternative approach.

Say F = -1, the simplest number we can use.
Then:
A. (-2 - 5)/2 = -7/2 = -3.5
B. (-4-1)/4 = -5/4 = -1.25
C. (-6-2)6 = -8/6 = -4/3 = -1.33333
D. (-7-5)/7 = -12/5 = -2.4
E. -1 -1 = -2

The number with the largest value is the one closest to 0, (B).

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Re: If F < 0, which of the following represents the largest value?  [#permalink]

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14 Mar 2018, 16:19
Bunuel wrote:
If F < 0, which of the following represents the largest value?

A. (2F - 5)/2

B. (4F - 1)/4

C. (6F - 2)/6

D. (7F - 5)/7

E. F - 1

Let’s simplify each of the answer choices:

A. F - 5/2
B. F - 1/4
C. F - 1/3
D. F - 5/7
E. F - 1

Since each answer choice has a positive quantity (5/2, 1/4, 1/3, 5/7, 1) subtracted from F, and if we want the largest value, we want the smallest positive quantity to be subtracted from F. Thus F - 1/4 is the largest.

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Re: If F < 0, which of the following represents the largest value?   [#permalink] 14 Mar 2018, 16:19
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