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If the square root of the product of two positive integers is 15, whic
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25 Jun 2021, 05:14
25 Jun 2021, 05:14
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If the square root of the product of two positive integers is 15, which of the following CANNOT be the sum of the two integers?
(A) 34
(B) 42
(C) 50
(D) 78
(E) 226
(A) 34
(B) 42
(C) 50
(D) 78
(E) 226
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Re: If the square root of the product of two positive integers is 15, whic
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25 Jun 2021, 05:49
25 Jun 2021, 05:49
1
Carcass wrote:
If the square root of the product of two positive integers is 15, which of the following CANNOT be the sum of the two integers?
(A) 34
(B) 42
(C) 50
(D) 78
(E) 226
(A) 34
(B) 42
(C) 50
(D) 78
(E) 226
Let the two integers be \(a\) and \(b\)
So, \(\sqrt{ab} = 15\)
\(ab = 15^2 = 225\)
Let us factorize 225 as (3)(3)(5)(5)
The sum could be;
(3) + (3)(5)(5) = 78
(3)(3) + (5)(5) = 34
(3)(3)(5) + (5) = 50
(3)(3)(5)(5) + 1 = 226
Hence, option B
gmatclubot
Re: If the square root of the product of two positive integers is 15, whic [#permalink]
25 Jun 2021, 05:49
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