SSC CPO 2024 PYQ — Question 143

SSC CPO - 29 June 2024 - Shift 3 • Quantitative Aptitude • Q143

If 2a + 2b + c = 0, then find the value of 4a2+4b2+4c25c2−8ab\frac{4a^2 + 4b^2 + 4c^2}{5c^2 - 8ab} .

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. 1.

2a + 2b + c = 0

In the above equation, we have given 1 equation and 3 variables.

So, let's assume c = 0

So, 2a + 2b = 0

a = -b

Now put the values in 4a2+4b2+4c25c2−8ab\frac{4a^2 + 4b^2 + 4c^2}{5c^2 - 8ab}

= 4a2+4a2+00+8a2\frac{4a^2 + 4a^2 + 0}{0 + 8a^2}

= 8a28a2\frac{8a^2 }{8a^2}

= 1