In the question, one or more equations(s) is (are) provided. On the basis of these you have to give answer (i) q2 – 11q + 30 = 0 (ii) 2p2

In the question, one or more equations(s) is (are) provided. On the basis of these you have to give answer

(i) q² – 11q + 30 = 0

(ii) 2p² – 7p + 6 = 0

A p = q

B p > q

C q > p

D p ≥ q

E q ≥ p

Correct Answer: Option C

Equation 1:

q² – 11q + 30 = 0

⇒ q² – 6q – 5q + 30 = 0

⇒ q (q – 6) – 5(q – 6) = 0

⇒ (q – 5) (q – 6) = 0

⇒ q = 5 or q = 6

Equation 2:

2p² – 7p + 6 = 0

⇒ 2p² – 4p – 3p + 6 = 0

⇒ 2p(p – 2) – 3(p – 2) = 0

⇒ (2p – 3) (p – 2) = 0

⇒ p = 3/2 or p = 2

Thus, p values are less than q. So, p < q