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If xy < 10, is y < 1? (1) y < 7 (2) x > 10

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If xy < 10, is y < 1? (1) y < 7 (2) x > 10 [#permalink]

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New post 12 Apr 2018, 21:49
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A
B
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Re: If xy < 10, is y < 1? (1) y < 7 (2) x > 10 [#permalink]

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New post 12 Apr 2018, 21:58
(1) y < 7
We can have (x,y) = (-1,6) or (1,0) as per given conditions. Hence NOT sufficient.

(2) x > 10
Since xy<10.
This means y<1.

Sufficient.
Answer B

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Re: If xy < 10, is y < 1? (1) y < 7 (2) x > 10 [#permalink]

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New post 12 Apr 2018, 23:34
Bunuel wrote:
If xy < 10, is y < 1?

(1) y < 7
(2) x > 10


we are asked to determine whether y is less than 1.

statement 1: y<7
clearly not sufficient. we can logically conclude that y could be positive or y could be negative.

statement 2: it states that x> 10. In this case the minimum value of x will be 11. it is also given that xy<0. In order to make xy<0 one of x or y will be negative. As x is positive y must be negative. so, we can conclude that x<1. Sufficient.

Thus, the correct answer is B.
Re: If xy < 10, is y < 1? (1) y < 7 (2) x > 10   [#permalink] 12 Apr 2018, 23:34
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