SSC MTS 2026 PYQ — Question 20

SSC MTS - 4 Feb 2026 - Shift 3 • Quantitative Aptitude • Q20

8(1.75)3+1(3.5)2−2.5=?\frac{8(1.75)^3 + 1}{(3.5)^2 - 2.5} = ?

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Correct answer: B

Explanation

8(1.75)3+1(3.5)2−2.5=8(74)3+1(72)2−52=3438+1394=3518394=3518×439=11726=4.5\frac{8(1.75)^3 + 1}{(3.5)^2 - 2.5}\\ = \frac{8\left(\frac{7}{4}\right)^3 + 1}{\left(\frac{7}{2}\right)^2 - \frac{5}{2}}\\ = \frac{\frac{343}{8} + 1}{\frac{39}{4}}\\ = \frac{\frac{351}{8}}{\frac{39}{4}}\\ = \frac{351}{8} \times \frac{4}{39}\\ = \frac{117}{26}\\ = 4.5