SSC CGL 2025 PYQ — Question 69

SSC CGL - 18 Sep 2025 - Shift 1 • Quantitative Aptitude • Q69

If the cubic equation a3 - 4a2 + 5a - 2 = 0 has the root x, y, z then find the value of x + y + z.

Show answer & explanation

Correct answer: D

Explanation

The correct answer is Option 4 i.e. 4.

For a cubic equation of the form ax3 + bx2 + cx + d = 0, the sum of the roots = -(b/a)

Here, the given equation = a3 - 4a2 + 5a - 2 = 0

Coefficient of a3 = 1

Coefficient of a2 = -4

Sum of roots x + y + z =−(−4)1=4= -\frac{(-4)}{1} = 4