The value of (96 ÷ 16 of 2 - 128 × 2 ÷ 32 + 15 of 4)/(5/6of2/3( 1/3 - 1/4 - 1/6̅ )) is:

The value of (96 ÷ 16 of 2 - 128 × 2 ÷ 32 + 15 of…

Comprehension:
In the following passage, some words have been deleted. Fill in the blanks with the help of the
alternatives given. Select the most appropriate option for each blank.
Graduation Day was at hand. Primary school graduation (1) ______ in those days followed a
prescribed order-conventional, courteous and (2) ______. First the school principal made a
long speech (3) ______ encouragement and blessing for the future of the graduates. (4) ______
one of the representatives of the graduating class (5) ______ with a vote of thanks.

The value of $\frac{{96 \,\div\, 16\,of\,2\, - 128\,\times\, 2\, \div \,32\, + \,15\,of\,4}}{{\frac{5}{6}of\frac{2}{3}\left( {\frac{1}{3} - \overline {\frac{1}{4} - \frac{1}{6}} } \right)}}$ is:

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. 396

$\frac{{96 \,\div\, 16\,of\,2\, - 128\,\times\, 2\, \div \,32\, + \,15\,of\,4}}{{\frac{5}{6}of\frac{2}{3}\left( {\frac{1}{3} - \overline {\frac{1}{4} - \frac{1}{6}} } \right)}}$

= [96/(16 × 2) - 128 × 2/32 + 15 × 4] ÷ 5/6 × 2/3 × [1/3 - (1/4 - 1/6)]

= [96/32 - 128 × 1/16 + 60] ÷ 5/6 × 2/3 × [(1/3 - 1/12)]

= [3 - 8 + 60] ÷ 5/9 × 1/4

= 55 ÷ 5/36

= 55 × 36/5

= 11 × 36

= 396

SSC CHSL 2021 PYQ — Question 63