SSC Selection Post 2024 PYQ — Question 73

SSC Selection Post - Graduation Level - 24 June 2024 - Shift 3 • Quantitative Aptitude • Q73

Simply the given expression. 12.43×12.43×12.43+19.57×19.57×19.5712.43×12.43−12.43×19.57+19.57×19.57{12.43 × 12.43 × 12.43 + 19.57×19.57×19.57 \over 12.43× 12.43 - 12.43×19.57 + 19.57 × 19.57}.

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. 32.

12.43×12.43×12.43+19.57×19.57×19.5712.43×12.43−12.43×19.57+19.57×19.57{12.43 × 12.43 × 12.43 + 19.57×19.57×19.57 \over 12.43× 12.43 - 12.43×19.57 + 19.57 × 19.57}

=12.433+19.57312.432−12.43×19.57+19.572={12.43^3 + 19.57^3 \over 12.43^2 - 12.43×19.57 + 19.57^2}

=(12.43+19.57)(12.432−12.43×19.57+19.572)12.432−12.43×19.57+19.572={(12.43 + 19.57)(12.43^2 - 12.43×19.57 + 19.57^2) \over 12.43^2 - 12.43×19.57 + 19.57^2}

= 12.43 + 19.57

= 32