SSC CGL 2025 PYQ — Question 72

SSC CGL - 16 Sep 2025 - Shift 1 • Quantitative Aptitude • Q72

Simplify : [(23)+(45÷27)]÷[(32)−(56×34)][({2 \over 3}) + ({4 \over 5} \div {2 \over 7})] \div [({3 \over 2}) - ({5 \over 6} \times {3 \over 4})]

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 416105 {416 \over 105}.

[(23)+(45÷27)]÷[(32)−(56×34)][({2 \over 3}) + ({4 \over 5} \div {2 \over 7})] \div [({3 \over 2}) - ({5 \over 6} \times {3 \over 4})]

⇒ [(23)+(45×72)]÷[(32)−(58)][({2 \over 3}) + ({4 \over 5} \times {7 \over 2})] \div [({3 \over 2}) - ({5 \over 8} )]

⇒ [(23)+(145)]÷[(12−58)][({2 \over 3}) + ({14 \over 5} )] \div [({12-5 \over 8}) ]

⇒ [(5215)]÷[(78)][({52 \over 15}) ] \div [({7 \over 8}) ]

⇒ [(5215)]×[(87)][({52 \over 15}) ] \times [({8\over 7}) ]  = 416105 {416 \over 105}