If xy

Question

If xy < 10, is y < 1?

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

GMATBusters · Answer

(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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KSBGC · Answer

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.

push12345 · Answer

I) y can have any value less than 1 or greater than 1
So not sufficient

II)x>10
When y=1 then xy=10
But xy<10 so certaintly y<1
B is answer

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

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