SSC CGL 2023 PYQ — Question 68

SSC CGL - 19 July 2023 - Shift 1 • Quantitative Aptitude • Q68

Simplify the following.

3a+b2−a−3b3+2b\frac{3a+b}{2}-\frac{a-3b}{3}+2b

Show answer & explanation

Correct answer: C

Explanation

 The correct answer is option 3 i.e. 7(a+3b)6\frac{7(a+3b)}{6}

⇒ 3a+b2−a−3b3+2b\frac{3a+b}{2}-\frac{a-3b}{3}+2b

⇒ 9a+3b−2a+6b+12b6\frac{9a + 3b-2a+6b+12b}{6}

⇒ (7a + 21b)/6

⇒ 7(a+3b)6\frac{7(a+3b)}{6}