I- p - 2-5 p -6-0 1II- q - 2-3 q -2-0 A- p is greater than qB- p is less 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 E p is either equal or smaller than qI. ⇒ p^2+3p+2p+6=0 ⇒ p(p+3)+2(p+3)=0 ⇒ (p+3)+2(p+2)=0 ⇒ p=2 or 3 II. ⇒ q^2+q+2q+2=0 ⇒ q(q+1)+2(q+1) ...

You visited us 3 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Other

Quantitative Aptitude

Functions

I. p ∧ 2+5 p ...

Question

$I . p^{2} + 5 p + 6 = 0 I I . q^{2} + 3 q + 2 = 0$

p is greater than q

No worries! We‘ve got your back. Try BYJU‘S free classes today!

p is less than q

No worries! We‘ve got your back. Try BYJU‘S free classes today!

p is equal to q

No worries! We‘ve got your back. Try BYJU‘S free classes today!

p is either equal to or greater than q

No worries! We‘ve got your back. Try BYJU‘S free classes today!

p is either equal or smaller than q

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is E p is either equal or smaller than q
$I . \Rightarrow p^{2} + 3 p + 2 p + 6 = 0 \Rightarrow p (p + 3) + 2 (p + 3) = 0 \Rightarrow (p + 3) + 2 (p + 2) = 0$
$\Rightarrow p = 2$ or -3
$I I . \Rightarrow q^{2} + q + 2 q + 2 = 0 \Rightarrow q (q + 1) + 2 (q + 1) = 0 \Rightarrow (q + 1) + (q + 2) = 0$
$\Rightarrow q = - 1$ or -2
Obviously $p \leq q$

Suggest Corrections

I.p2+5p+6=0II.q2+3q+2=0

The correct option is E p is either equal or smaller than qI.⇒p2+3p+2p+6=0⇒p(p+3)+2(p+3)=0⇒(p+3)+2(p+2)=0 ⇒p=2 or -3 II.⇒q2+q+2q+2=0⇒q(q+1)+2(q+1)=0⇒(q+1)+(q+2)=0 ⇒q=−1 or -2 Obviously p≤q

$I . p^{2} + 5 p + 6 = 0 I I . q^{2} + 3 q + 2 = 0$