SarkariPYQ

SSC MTS 2026 PYQ — Question 9

SSC MTS - 17 Feb 2026 - Shift 1 • Quantitative Aptitude • Q9

Back to paper

513+55115+555135+55551635\frac{1}{3}+55\frac{1}{15}+555\frac{1}{35}+5555\frac{1}{63}

Show answer & explanation

Correct answer: A

Explanation

513+55115+555135+5555163=(5+55+555+5555)+13+115+135+163=(5+55+555+5555)+105+21+9+5315=6170+140315=6170+49=617049\begin{aligned} 5\frac{1}{3}+55\frac{1}{15}+555\frac{1}{35}+5555\frac{1}{63} &=(5+55+555+5555)+\frac{1}{3}+\frac{1}{15}+\frac{1}{35}+\frac{1}{63}\\[4pt] &=(5+55+555+5555)+\frac{105+21+9+5}{315}\\[4pt] &=6170+\frac{140}{315}\\[4pt] &=6170+\frac{4}{9}\\[4pt] &=6170\frac{4}{9} \end{aligned}