Subject
Quantitative Aptitude
Topic
Algebra
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
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
ক)
p = qখ)
p > qগ)
q > pঘ)
p ≥ qঙ)
q ≥ pExplanation
Equation 1: q 2 – 11q + 30 = 0 ⇒ q 2 – 6q – 5q + 30 = 0 ⇒ q (q – 6) – 5(q – 6) = 0 ⇒ (q – 5) (q – 6) = 0 ⇒ q = 5 or q = 6 Equation 2: 2p 2 – 7p + 6 = 0 ⇒ 2p 2 – 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 < qRelated questions
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