SSC CPO 2022 PYQ — Question 147

SSC CPO - 11 Nov 2022 - Shift 3 • Quantitative Aptitude • Q147

What is the positive value of the following expression?

36÷15 of 2 of [25×4÷4 of {29−(8−11)÷(9×5÷5 of 3)}]\begin{array}{l} \sqrt{36 \div 15 \text { of } 2 \text { of }[25 \times 4 \div 4 \text { of }\{29-(8-11) \div(9 \times 5 \div 5 \text { of } 3)\}]} \\ \end{array}

 

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. 1151{{1} \over 5}

Given that

36÷15 of 2 of [25×4÷4 of {29−(8−11)÷(9×5÷5 of 3)}]\begin{array}{l} \sqrt{36 \div 15 \text { of } 2 \text { of }[25 \times 4 \div 4 \text { of }\{29-(8-11) \div(9 \times 5 \div 5 \text { of } 3)\}]} \\ \end{array}

⇒ 36÷15 of 2 of [25×4÷4 of {29−(−3)÷(9×5÷15)}]\begin{array}{l} \sqrt{36 \div 15 \text { of } 2 \text { of }[25 \times 4 \div 4 \text { of }\{29-(-3) \div(9 \times 5 \div 15)\}]} \\ \end{array}

⇒ 36÷15 of 2 of [25×4÷4 of {29+3÷(3)}]\begin{array}{l} \sqrt{36 \div 15 \text { of } 2 \text { of }[25 \times 4 \div 4 \text { of }\{29 +3 \div(3)\}]} \\ \end{array}

⇒ 36÷15 of 2 of [25×4÷4 of {30}]\begin{array}{l} \sqrt{36 \div 15 \text { of } 2 \text { of }[25 \times 4 \div 4 \text { of }\{30\}]} \\ \end{array}

⇒ 36÷15 of 2 of [100÷120]\begin{array}{l} \sqrt{36 \div 15 \text { of } 2 \text { of }[100\div 120]} \\ \end{array}

⇒ [36÷3000/120]\begin{array}{l} \sqrt{[36 \div 3000/120]} \\ \end{array}

⇒ [36/25]\begin{array}{l} \sqrt{[36/25]} \\ \end{array}

⇒ 6/5 = 1151{{1} \over 5}