SSC CPO 2024 PYQ — Question 109

SSC CPO - 29 June 2024 - Shift 1 • Quantitative Aptitude • Q109

The value of (212+134−16)(2\frac{1}{2} + 1\frac{3}{4} - \frac{1}{6} )  × 16 ÷ 49 is :

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. 1131\frac{1}{3}.

According to the given question,

  (212+134−16)(2\frac{1}{2} + 1\frac{3}{4} - \frac{1}{6} )  × 16 ÷ 49

⇒ (52+74−16)(\frac{5}{2} + \frac{7}{4} - \frac{1}{6} )  × 16 ÷ 49

⇒ (30+21−2)12(30 + 21 - 2)\over 12 × 16 ÷ 49

⇒ 491249\over 12 × 16 ÷ 49

⇒ 4912×1649{49\over 12} \times {16 \over 49} 

⇒ 43=113{4 \over 3} = 1{1 \over 3}

Hence the required answer is 1131\frac{1}{3}.