SSC CPO 2024 PYQ — Question 150

The correct answer is option 3 i.e. $11\over20$.

According to the given question,

${1\over{2}^2}\ +\ {1\over{2}^3}\ ÷\ {({1\over2}\ +\ {1\over2}\ ÷\ 1)}\ +\ {3{1\over3}}\ ÷\ {5\over2}\ ×\ {3\over4}\ ÷\ {6{2\over3}}\ ×\ {7\over6}$

⇒ ${1\over4}\ +\ {1\over8}\ ÷\ {1}\ +\ {{10\over3}}\ ÷\ {5\over2}\ ×\ {3\over4}\ ÷\ {{20\over3}}\ ×\ {7\over6}$

⇒ ${1\over4}\ +\ {1\over8}\ +\ {{4\over3}}\ ×\ {9 \over 80}\ \ ×\ {7\over6}$

⇒ ${1\over4}\ +\ {1\over8}\ +\ {7 \over 40}$

⇒ ${10 + 5 + 7}\over 40$ 

⇒ $22 \over 40$ = $11\over20$

Hence the required answer is $11\over20$.