SSC MTS 2026 PYQ — Question 17

SSC MTS - 5 Feb 2026 - Shift 3 • Quantitative Aptitude • Q17

(3.5)3−(0.5)3−8.75(3.5)2−(0.5)2−3.5=?\frac{(3.5)^3 - (0.5)^3 - 8.75}{(3.5)^2 - (0.5)^2 - 3.5} = ?

Show answer & explanation

Correct answer: B

Explanation

(3.5)3−(0.5)3−8.75(3.5)2−(0.5)2−3.5=3438−18−708494−14−144=2728344=34344=4\frac{(3.5)^3 - (0.5)^3 - 8.75}{(3.5)^2 - (0.5)^2 - 3.5}\\ = \frac{\frac{343}{8} - \frac{1}{8} - \frac{70}{8}}{\frac{49}{4} - \frac{1}{4} - \frac{14}{4}}\\ = \frac{\frac{272}{8}}{\frac{34}{4}}\\ = \frac{34}{\frac{34}{4}}\\ = 4