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# Find the lowest number which has both X and Y as factors, where X and

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Find the lowest number which has both X and Y as factors, where X and  [#permalink]

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10 Oct 2018, 01:36
00:00

Difficulty:

45% (medium)

Question Stats:

78% (01:52) correct 22% (01:38) wrong based on 9 sessions

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Find the lowest number which has both X and Y as factors, where X and Y are positive integers.

(1) X and Y have no common prime factors and $$X^2 Y^2$$= 169*4
(2) 2Y = 13X and lowest prime factor of X is X
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Re: Find the lowest number which has both X and Y as factors, where X and  [#permalink]

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10 Oct 2018, 01:43
rencsee wrote:
Find the lowest number which has both X and Y as factors, where X and Y are positive integers.

(1) X and Y have no common prime factors and $$X^2 Y^2$$= 169*4
(2) 2Y = 13X and lowest prime factor of X is X

Question: Find the lowest number which has both X and Y as factors, where X and Y are positive integers.

Statement 1: X and Y have no common prime factors and $$X^2 Y^2$$= 169*4

This statement is possible only if X and Y are either 13 and 2 (in a ny order) or X and Y are 1 and 26 (in any order)
In each case Lowest number having both X and Y as factors = 13*2 = 26

SUFFICIENT

Statement 2: 2Y = 13X and lowest prime factor of X is X
i.e. X = 2 and Y = 13
i.e. Lowest number having both X and Y as factors = 13*2 = 26

SUFFICIENT

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Re: Find the lowest number which has both X and Y as factors, where X and   [#permalink] 10 Oct 2018, 01:43
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