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If the smaller of 2 consecutive odd integers is a multiple of 5, which of the following could NOT be the sum of these 2

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by BTGModeratorVI » Mon Sep 07, 2020 6:54 am

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If the smaller of 2 consecutive odd integers is a multiple of 5, which of the following could NOT be the sum of these 2 integers?

A. –8
B. 12
C. 22
D. 52
E. 252

: Answer: C
Source: Official guide
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Source: — Data Sufficiency |

BTGModeratorVI wrote:
Mon Sep 07, 2020 6:54 am
If the smaller of 2 consecutive odd integers is a multiple of 5, which of the following could NOT be the sum of these 2 integers?

A. –8
B. 12
C. 22
D. 52
E. 252

: Answer: C
Source: Official guide
The question asks "which of the following could NOT be the sum of these 2 integers"

So, if we find an answer choice that COULD be the sum of the 2 integers, we can ELIMINATE it.

-5 and -3 are two consecutive odd integers in which the smaller value (-5) is a multiple of 5
(-5) + (-3) = -8
ELIMINATE A

5 and 7 are two consecutive odd integers in which the smaller value (5) is a multiple of 5
5 + 7 = 12
ELIMINATE B

25 and 27 are two consecutive odd integers in which the smaller value (25) is a multiple of 5
25 + 27 = 52
ELIMINATE D

125 and 127 are two consecutive odd integers in which the smaller value (125) is a multiple of 5
125 + 127 = 252
ELIMINATE E

By the process of elimination, the correct answer is C

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
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