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If k is a multiple of 3 and k = (m2 )n, where m and n are prime number
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02 Sep 2021, 09:54
02 Sep 2021, 09:54
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If k is a multiple of 3 and k=(m2)n, where m and n are prime numbers, which of the following must be a multiple of 9?
(A) m2
(B) n2
(C) mn
(D) mn2
(E) (mn)2
(A) m2
(B) n2
(C) mn
(D) mn2
(E) (mn)2
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If k is a multiple of 3 and k = (m2 )n, where m and n are prime number
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04 Sep 2021, 07:55
04 Sep 2021, 07:55
1
If k is a multiple of 3 and k=(m2)n then (m2)n will also be a multiple of 3
Since both m and n are prime numbers, so either m is 3 or n is 3 or both are 3
In any case, m*n will be a multiple of 3
=> (mn)2 will be a multiple of 32 or 9
So, AnswerwillbeE
Hope it helps!
Since both m and n are prime numbers, so either m is 3 or n is 3 or both are 3
In any case, m*n will be a multiple of 3
=> (mn)2 will be a multiple of 32 or 9
So, AnswerwillbeE
Hope it helps!
gmatclubot
If k is a multiple of 3 and k = (m2 )n, where m and n are prime number [#permalink]
04 Sep 2021, 07:55
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