ABC26GN1044 · Simplification

Subject: General Aptitude · Chapter: Simplification · Exam: 2007 · Marks: · Difficulty:

If 4x = p(x + 3) + q(x – 1) is an identity, then the values of p and q are

(a)1, – 3

(b)1, 3

(c)1, 1

(d)3, 1 118

Answer

Answer (as printed): B

Explanation

4x = p(x + 3) + q(x – 1) ⇒ 4x = px + 3p + qx – q ⇒ 4x = (p + q) x + (3p – q) ⇒ p + q = 4 and 3p – q = 0 q ⇒ p + q = 4 and p = 3 q 4q ⇒ +q=4 ⇒ = 4 ⇒ q = 3. 3 3 p + q = 4 and q = 3 ⇒ p = 1.

Explanation as extracted from the printed page; notation may be imperfect.

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