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# If x and y are positive numbers, is xy < 16? (1) x < 8 and y < 3 (2)

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Math Expert
Joined: 02 Sep 2009
Posts: 52430
If x and y are positive numbers, is xy < 16? (1) x < 8 and y < 3 (2)  [#permalink]

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13 Apr 2018, 00:54
00:00

Difficulty:

45% (medium)

Question Stats:

66% (01:30) correct 34% (01:24) wrong based on 55 sessions

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If x and y are positive numbers, is xy < 16?

(1) x < 8 and y < 3
(2) x^3 < 8 and y - 8 < 0

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Senior PS Moderator
Status: It always seems impossible until it's done.
Joined: 16 Sep 2016
Posts: 673
Re: If x and y are positive numbers, is xy < 16? (1) x < 8 and y < 3 (2)  [#permalink]

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13 Apr 2018, 01:03
Bunuel wrote:
If x and y are positive numbers, is xy < 16?

(1) x < 8 and y < 3
(2) x^3 < 8 and y - 8 < 0

x & y are positive numbers and NOT necessarily integers

(1) x < 8 & y < 3 ... take numbers. x = 7.5 & y = 2.5 gives "No" and x = 1 & y = 1 gives "Yes" . Hence Insuff

(2) x^3 < 8 : x < 2 & y < 8

Hence x*y < 2*8 < 16 Suff

Hence Option (B) is our answer.

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Re: If x and y are positive numbers, is xy < 16? (1) x < 8 and y < 3 (2)  [#permalink]

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28 Apr 2018, 04:34
I) if x=7.5 and y=2.5 then xy>16
Whereas for values x=4 and y=2 xy<16
Insufficient

II) as per statements
x<2 and y<8
When x=2 and y=8 then xy=16
So xy<16
Sufficient

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Re: If x and y are positive numbers, is xy < 16? (1) x < 8 and y < 3 (2) &nbs [#permalink] 28 Apr 2018, 04:34
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# If x and y are positive numbers, is xy < 16? (1) x < 8 and y < 3 (2)

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