SSC MTS 2023 PYQ — Question 12

SSC MTS - 2 May 2023 - Shift 3 • Quantitative Aptitude • Q12

What is the value of 12\frac{1}{2}of165\frac{16}{5}+18\frac{1}{8}of 249\frac{24}{9}x 1812\frac{18}{12} -- 58\frac{5}{8}?

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. 5940\frac{59}{40}

Given that

  the value of 12\frac{1}{2}of165\frac{16}{5}+18\frac{1}{8}of 249\frac{24}{9}x 1812\frac{18}{12} -- 58\frac{5}{8} 

⇒  12\frac{1}{2}of165\frac{16}{5}+18\frac{1}{8}of 249\frac{24}{9}x 1812\frac{18}{12} -- 58\frac{5}{8} 

⇒ ( 12\frac{1}{2}×165\frac{16}{5}) + (18\frac{1}{8} x 249\frac{24}{9}) x 1812\frac{18}{12} -- 58\frac{5}{8} 

⇒  1610\frac{16}{10} + 13\frac{1}{3} x 1812\frac{18}{12} -- 58\frac{5}{8} 

⇒  85\frac{8}{5} + 12\frac{1}{2} -- 58\frac{5}{8} 

⇒  2110\frac{21}{10} -- 58\frac{5}{8} 

⇒  84−2540\frac{84 - 25}{40}

⇒ 5940\frac{59}{40}