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If a and b are integers such that a > b > 1, which of the fo

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GMAT Club Legend
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Joined: 07 Jun 2014
Posts: 4721
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
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If a and b are integers such that a > b > 1, which of the fo [#permalink] New post 12 Aug 2018, 15:40
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Question Stats:

40% (00:53) correct 60% (00:32) wrong based on 5 sessions
If a and b are integers such that a > b > 1, which of the following cannot be a multiple of either a or b?

(A) a – 1
(B) b + 1
(C) b – 1
(D) a + b
(E) ab
[Reveal] Spoiler: OA

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Sandy
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GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 07 Jun 2014
Posts: 4721
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 91

Kudos [?]: 1626 [0], given: 389

CAT Tests
Re: If a and b are integers such that a > b > 1, which of the fo [#permalink] New post 15 Aug 2018, 08:14
Expert's post
Explanation

Since a positive multiple must be greater than or equal to the number it is a multiple of, answer choice (C) cannot be a multiple of a or b, as it is smaller than both integers a and b.

Alternatively, try testing numbers such that a is larger than b:

(A) If a = 3 and b = 2, a – 1 = 2, which is a multiple of b.

(B) If a = 3 and b = 2, b + 1 = 3, which is a multiple of a.

(C) Is the correct answer by process of elimination.

(D) If a = 4 and b = 2, a + b = 6, which is a multiple of b.

(E) If a = 3 and b = 2, ab = 6, which is a multiple of both a and b.
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Sandy
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Re: If a and b are integers such that a > b > 1, which of the fo   [#permalink] 15 Aug 2018, 08:14
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If a and b are integers such that a > b > 1, which of the fo

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