SSC MTS 2022 PYQ — Question 59

SSC MTS - 21 July 2022 - Shift 3 • Quantitative Aptitude • Q59

What is the value of 7528×712+[ 512+{57+(812of 3624−12)}]\dfrac{75}{28}\times \dfrac{7}{12} + [\ \dfrac{5}{12} + \{ {\dfrac{5}{7}} + (\dfrac{8}{12} \text{of} \ \dfrac{36}{24}-\dfrac{1}{2}) \}]?

Show answer & explanation

Correct answer: C

Explanation

The correct option is 3 i.e 1073/336

75/28 × 7/12 ×[ 5/12 + {5/7 +(8/12 of 36/24 - 1/2)}]

= 25/4 × 1/4 +[5/12 + {(8/12 × 36/24 - 1/2)}]

= 25/16 + [ 5/12 + {5/7 + (1 - 1/2)}]

= 25/16 + [5/12 + {5/7 + 1/2}]

= 25/16 + [5/12+ {(10 + 7)/14 } ]

= 25/16 + [5/12 + 17/14]

= 25/16 + 274/168

= (525 + 548)/336

= 1073/336