Subject
Quantitative Aptitude
Topic
Algebra
In the following question, one or two equation(s) is/are given. On their basis, you have to determine the relation between p and q and then give answer
I. 2p2= 23p – 63
II. 2q (q-8) = q-36
In the following question, one or two equation(s) is/are given. On their basis, you have to determine the relation between p and q and then give answer I. 2p2= 23p – 63 II. 2q (q-8) = q-36
ক)
p = qখ)
p > qগ)
p < qঘ)
p ≤ qঙ)
p ≥ qExplanation
Equation 1: 2p 2 = 23p – 63 ⇒ 2p2 - 14p – 9p + 63 = 0 ⇒ 2p (p- 7) -9 (p - 7) = 0 ⇒ (2p - 9) (p – 7) = 0 ⇒ 2p – 9 = 0 and p – 7 = 0 ⇒ p = 9/2 and 7 Equation 2: 2q (q -8 ) = q -36 ⇒ 2q -7 = q -36 ⇒ 2 q -7 × q 36 = 1 ⇒ q 29 = ½ ⇒ q = (1/2) 29 Clearly, q < 1 And hence: p > qRelated questions
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