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Is xy a multiple of 48? (1) x is a multiple of 4 (2) y is a multiple

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Math Expert
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Joined: 02 Sep 2009
Posts: 57155
Is xy a multiple of 48? (1) x is a multiple of 4 (2) y is a multiple  [#permalink]

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New post 09 Aug 2019, 02:20
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A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

76% (00:46) correct 24% (00:57) wrong based on 32 sessions

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Manager
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Joined: 31 May 2018
Posts: 185
Location: United States
Concentration: Finance, Marketing
Re: Is xy a multiple of 48? (1) x is a multiple of 4 (2) y is a multiple  [#permalink]

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New post 09 Aug 2019, 02:43
Is xy a multiple of 48?

STATEMENT 1--x is a multiple of 4.
we don't know the value of y
if y = 2 then --NO
if y = 24 then-- YES
so INSUFFICIENT

STATEMENT 2--y is a multiple of 6.
we don't know the value of x
if x = 2 then --NO
if x = 16 then ---YES
so INSUFFICIENT

combining (1)&(2)
x is a multiple of 4 and y is a multiple of 6

then xy = 12,24,....,48
if xy =12 then NO
if xy = 48 then YES
so INSUFFICIENT

E
Intern
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Joined: 09 Jul 2014
Posts: 8
Re: Is xy a multiple of 48? (1) x is a multiple of 4 (2) y is a multiple  [#permalink]

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New post 09 Aug 2019, 11:14
XY should be of the form 2^4.3.p where p is a natural number.

Statement 1: X is multiple of 4 => x = 2^2.q where q is a natural number; we are not sure about Y.........Not Sufficient

Statement 2: Y is multiple of 6 => y = 2.3.r where r is a natural number; we are not sure about the value of X ......Not Sufficient.

Taking both the statements together:
XY = 2^2.q.2.3.r => 2^3.3.q.r = 24.q.r => XY is a multiple of 24 but we can not say it's a multiple of 48 because q and r are variables here.

Hence both statements are not sufficient. The answer should be E
GMAT Club Bot
Re: Is xy a multiple of 48? (1) x is a multiple of 4 (2) y is a multiple   [#permalink] 09 Aug 2019, 11:14
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Is xy a multiple of 48? (1) x is a multiple of 4 (2) y is a multiple

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