If m+n =24, then (m-16)³ + (n-8)³ is ?

Options :
a) 0
b) 320
c) 576
d) 40

SSC CGL Paper 2024 : Quantitative Aptitude

Solution :

m+n =24,
=> m=24-n

Put value of m in equation : (m-16)³ + (n-8)³
=> (24-n-16)³ + (n-8)³
=> (8-n)³ + (n-8)³
=> (8-n)³ + (n-8)³
=> -(n-8)³ + (n-8)³
=> (n-8)³ (-1+1)
=>(n-8)³ x0 = 0

Correct Answer a) 0