product of mn (from Vertas prep)

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by Anurag@Gurome » Sat Jun 11, 2011 3:01 am

adityamba wrote:Is mn>10 ?

1. m<5 and n<2
2. 1<m<2 and n^2=25 (n sqr is 25)

Statement 1: m < 5 and n < 2
Say, m = 4 and n = 1 --> mn = 4 < 10
Say, m = -10 and n = -5 --> mn = 50 > 10

Not sufficient

Statement 2: 1 < m < 2 and nÂ² = 25
Hence, n = Â±5
For n = 5, 5 < mn < 10 --> mn < 10
For n = -5, -5 > mn > -10 --> mn < 10

Sufficient

The correct answer is B.

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