SSC CPO 2024 PYQ — Question 132

The correct answer is option 4 i.e. −450000.

a³ + b³ = (a + b)(a² - ab + b²)

a³ - b³ = (a - b)(a² + ab + b²)

According to the given question,

 $(275×275×275+725×725×725)\over{(275×275+725×725-725×275)}$ × $(275×275×275-725×725×725)\over{(275×275+725×725+725×275)}$ 

⇒ $(275^3+725^3)\over{(275^2+725^2-725×275)}$ × $(275^3 - 725^3)\over{(275^2+725^2+725×275)}$

⇒ $(275+725)(275^2+725^2-725×275)\over{(275^2+725^2-725×275)}$  × $(275 - 725)(275^2+725^2+725×275)\over{(275^2+725^2+725×275)}$

⇒ 1000 × (-450)

⇒ -450000

Hence the required answer is -450000.