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Is the sum of p^2 and q^2 greater than 1?

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Is the sum of p^2 and q^2 greater than 1? [#permalink]

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New post 19 Nov 2017, 09:27
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A
B
C
D
E

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  35% (medium)

Question Stats:

77% (00:46) correct 23% (00:31) wrong based on 30 sessions

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Is the sum of p^2 and q^2 greater than 1? [#permalink]

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New post 19 Nov 2017, 09:43
Bunuel wrote:
Is the sum of p^2 and q^2 greater than 1?

(1) p is greater than 1/2.

(2) q is greater than 1/2.


Is \(p^2+q^2>1\)

Statement 1: \(p>\frac{1}{2}\)

so \(p^2>\frac{1}{4}\). but nothing mentioned about \(q\). Hence insufficient

Statement 2: \(q>\frac{1}{2}\)

so \(q^2>\frac{1}{4}\). but nothing mentioned about \(p\). Hence insufficient

combining 1 & 2 we get \(p^2+q^2>\frac{1}{4}+\frac{1}{4}\)

hence \(p^2+q^2>0.5\). So we can have both a Yes & No situation. Hence Insufficient

Option E
Is the sum of p^2 and q^2 greater than 1?   [#permalink] 19 Nov 2017, 09:43
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Is the sum of p^2 and q^2 greater than 1?

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