SSC CGL 2024 PYQ — Question 68

SSC CGL - 18 Sep 2024 - Shift 1 • Quantitative Aptitude • Q68

Simplify the following:  

[(512−313)[(5{1\over 2}-3{1\over 3})  of 1513+1−2×352÷2341{5\over 13}+1-2×3{5\over 2}÷2{3\over 4}]

Show answer & explanation

Correct answer: A

Explanation

The correct answer is Option 1 i.e. 0.

[(512−313)[(5{1\over 2}-3{1\over 3})  of 1513+1−2×352÷2341{5\over 13}+1-2×3{5\over 2}÷2{3\over 4}]

⇒ [(112−103)[({11\over 2}-{10\over 3})  of 1813+1−2×112÷114{18\over 13}+1-2×{11\over 2}÷{11\over 4}]

⇒ [(33−206)[({33-20\over 6})  of 1813+1−2×112×411{18\over 13}+1-2×{11\over 2}\times{4\over 11}]

⇒ [136[{13\over 6} × 1813+1−2×112×411{18\over 13}+1-2×{11\over 2}\times{4\over 11}]

⇒ 3 + 1 - 2 × 2

⇒ 4 - 4 = 0