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Updated on: 15 Jul 2019, 02:59
Originally posted by Bunuel on 10 May 2018, 01:48.
Last edited by Sajjad1994 on 15 Jul 2019, 02:59, edited 1 time in total.
Last edited by Sajjad1994 on 15 Jul 2019, 02:59, edited 1 time in total.
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E
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Difficulty:
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93% (01:46) correct
7%
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If A?B is the greatest common factor of A and B, A~B is defined as the least common multiple of A and B, and A&B is defined as equal to (A?B)~(A~B), then what is the value of 12&15?
(A) 42
(B) 45
(C) 48
(D) 52
(E) 60
(A) 42
(B) 45
(C) 48
(D) 52
(E) 60
Source: Nova GMAT
Difficulty Level: 500
Difficulty Level: 500
10 May 2018, 05:32
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1. If A?B is the greatest common factor of A and B
2. A~B is defined as the least common multiple of A and B
3. A&B is defined as equal to (A?B)~(A~B)
From 3: 12&15 = (12?15)~(12~15)
From 1: (12?15) = HCF (12, 15) = 3
From 2: (12~15) = LCM (12, 15) = 60
Therefore, (12?15)~(12~15) = 3 ~ 60 = LCM (3, 60) = 60
Choice E
2. A~B is defined as the least common multiple of A and B
3. A&B is defined as equal to (A?B)~(A~B)
From 3: 12&15 = (12?15)~(12~15)
From 1: (12?15) = HCF (12, 15) = 3
From 2: (12~15) = LCM (12, 15) = 60
Therefore, (12?15)~(12~15) = 3 ~ 60 = LCM (3, 60) = 60
Choice E
