SSC CGL 2023 PYQ — Question 60

The correct answer is option 4 i.e. 560.

Let the value of c = 0

Now, a + b = 20   ...(i)

And a² + b² = 152   

Squarying both sides of equation (i),

⇒ a² + b² + 2ab = 400

⇒ 2ab = 400 - 152

⇒ ab = 124

Now, given expression = a³ + b³     (putting c = 0)

Now, a³ + b³ = (a + b)³ - 3ab(a + b)

⇒ 20³ - 3(124)(20)

⇒ 8000 - 7440 = 560