SSC CPO 2024 PYQ — Question 107

SSC CPO - 28 June 2024 - Shift 1 • Quantitative Aptitude • Q107

If x [ - 5 { - 4 ( - a ) } ] + 6 [ - 3 { -3 ( - a ) } ] = 6a, then the value of x is:

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. -3 

⇒ x [ - 5 { - 4 ( - a ) } ] + 6 [ - 3 { -3 ( - a ) } ] = 6a

⇒ x [ - 5 { 4a } ] + 6 [ - 3 { 3a } ] = 6a

⇒ x [ - 20a ] + 6 [ - 9a ] = 6a

⇒ 20ax - 54a = 6a

⇒ 20ax = 6a + 54a

⇒ 20ax = 60a

⇒ x = 60a / -20a

⇒ x = -3

Therefore, the value of x is -3.