What is the value of the following expression? 420\ ÷\…

What is the value of the following expression?

$420\ ÷\ [{4\over9} × (1+{4\over5}) × 5]$ + $[{5\over7}$ of ${21\over25}$ $÷\ {3\over4}$ of ${2\over5} ]$

Show answer & explanation

Correct answer: C

Explanation

The correct answer is Option 3 i.e. 107.

$420\ ÷\ [{4\over9} × (1+{4\over5}) × 5]$ + $[{5\over7}$ of ${21\over25}$ $÷\ {3\over4}$ of ${2\over5} ]$

⇒ $420\ ÷\ [{4\over9} × {9\over5} × 5]$ + $[{3\over5}$ ÷ ${6\over20}$ ]

⇒ $420\ ÷4$ + $[{3\over5}$ × ${20\over6}$ ]

⇒ 105 + 2 = 107

SSC CHSL 2024 PYQ — Question 54