I- p - 2- p -56 llII- q- 2-17 q-72-0 A- p is greater than qB- p is smaller than qC- p is either equal to or greater than qD- p is equal to qE- p is either equal or smaller than q

The correct option is B p is smaller than qI. p^2+p 56=0 ⇒ p^2 +8p 7p 56=0 ⇒ p(p+8) 7=0 ⇒ p =7 or 8 II q^2 8q 9q+72=0 ⇒ q(q 8) 9(q 8)=0 ⇒ (q 8)(q 9)=0 ⇒ q =8 ...

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Quantitative Aptitude

Functions

I. p ∧ 2+ p =...

Question

$I . p^{2} + p = 56 I I . q^{2} - 17 q + 72 = 0$

p is greater than q

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p is smaller than q

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p is equal to q

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p is either equal to or greater than q

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p is either equal or smaller than q

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Solution

The correct option is B p is smaller than q
$I . p^{2} + p - 56 = 0 \Rightarrow p^{2} + 8 p - 7 p - 56 = 0 \Rightarrow p (p + 8) - 7 = 0$
$\Rightarrow p = 7$ or -8
$I I q^{2} - 8 q - 9 q + 72 = 0 \Rightarrow q (q - 8) - 9 (q - 8) = 0 \Rightarrow (q - 8) (q - 9) = 0$
$\Rightarrow q = 8$ or 9
Obviously p < q

Suggest Corrections

I.p2+p=56II.q2−17q+72=0

The correct option is B p is smaller than qI.p2+p−56=0⇒p2+8p−7p−56=0⇒p(p+8)−7=0 ⇒p=7 or -8 IIq2−8q−9q+72=0⇒q(q−8)−9(q−8)=0⇒(q−8)(q−9)=0 ⇒q=8 or 9 Obviously p < q

$I . p^{2} + p = 56 I I . q^{2} - 17 q + 72 = 0$