SSC CPO 2024 PYQ — Question 131

SSC CPO 2024 - 27th June 2024 - Shift 1 • Quantitative Aptitude • Q131

Simplify the following expression:

315of234÷113+(215÷125of137−213)3{1\over5} of 2{3\over4} \div {11 \over3} + (2{1\over5} \div 1{2\over5} of 1{3\over7} - 2{1\over3})

Show answer & explanation

Correct answer: C

Explanation

The correct answer is Option 3 i.e 1161 {1\over6}.

315of234÷113+(215÷125of137−213)3{1\over5} of 2{3\over4} \div {11 \over3} + (2{1\over5} \div 1{2\over5} of 1{3\over7} - 2{1\over3})

⇒ 165of114÷113+(115÷75of107−73){16\over5} of {11\over4} \div {11 \over3} + ({11\over5} \div {7\over5} of {10\over7} - {7\over3})

⇒ 17620÷113+(115÷7035−73){176\over20} \div {11 \over3} + ({11\over5} \div {70\over35} - {7\over3})

⇒ 17620×311+(115×3570−73){176\over20} \times {3\over11} + ({11\over5} \times {35\over70} - {7\over3})

⇒ 1620×3+(11×770−73){16\over20} \times {3} + ({11} \times {7\over70} - {7\over3})

⇒​​​​​​​ 45×3+(11×110−73){4\over5} \times {3} + ({11} \times {1\over10} - {7\over3})

⇒​​​​​​​ 125+(1110−73){12\over5} + ( {11\over10} - {7\over3})

⇒​​​​​​​ 125+(33−7030){12\over5} + ( {33-70\over30} )

⇒​​​​​​​ 125−3730{12\over5}- {37\over30}

⇒​​​​​​​ 12×65×6−3730{12\times6\over5\times6} - {37\over30}

⇒​​​​​​​ 7230−3730{72\over30} - {37\over30}  

⇒​​​​​​​ 353035\over30 = 767\over6 = 1161 {1\over6}