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If a and b are integers such that a > b > 1, which of the fo
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12 Aug 2018, 15:40
12 Aug 2018, 15:40
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Question Stats:
38% (01:01) correct
61% (01:03) wrong based on 71 sessions
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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
(A) a – 1
(B) b + 1
(C) b – 1
(D) a + b
(E) ab
Re: If a and b are integers such that a > b > 1, which of the fo
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15 Aug 2018, 08:14
15 Aug 2018, 08:14
1
Expert Reply
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.
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.
Re: If a and b are integers such that a > b > 1, which of the fo
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19 May 2021, 08:37
19 May 2021, 08:37
How C can be an answer:
If a=4,b=3 then as per C (3-1=2) which is a multiple of a, can anyone pls explain
If a=4,b=3 then as per C (3-1=2) which is a multiple of a, can anyone pls explain
