SSC CPO 2024 PYQ — Question 111

SSC CPO 2024 - 27th June 2024 - Shift 1 • Quantitative Aptitude • Q111

 The value of 323÷215×14×(1+31−25)3 \frac{2}{3} \div 2\frac{1}{5} \times {1 \over 4} \times {(1 + {3\over{1 - {2\over 5}}}}) is:

Show answer & explanation

Correct answer: D

Explanation

The correct answer is Option 4 i.e. 2122 \frac{1}{2}.

323÷215×14×(1+31−25)3 \frac{2}{3} \div 2\frac{1}{5} \times {1 \over 4} \times {(1 + {3\over{1 - {2\over 5}}}})

⇒ 113÷115×14×(1+35−25)\frac{11}{3} \div \frac{11}{5} \times {1 \over 4} \times {(1 + {3\over{5 - 2\over 5}}})

⇒ 113×511×14×(1+335)\frac{11}{3} \times \frac{5}{11} \times {1 \over 4} \times {(1 + {3\over{3\over 5}}})

⇒​​​​​​​ 113×511×14×(1+153)\frac{11}{3} \times \frac{5}{11} \times {1 \over 4} \times {(1 + {15\over{3}}})

⇒​​​​​​​ 53×14×(1+5)\frac{5}{3} \times {1 \over 4} \times {(1 + 5})

⇒​​​​​​​ 53×14×6\frac{5}{3} \times {1 \over 4} \times6

⇒​​​​​​​ 5×14×25\times {1 \over 4} \times2

⇒​​​​​​​ 52{5 \over 2}  = 2122 \frac{1}{2}