SSC CPO 2022 PYQ — Question 119

SSC CPO - 11 Nov 2022 - Shift 3 • Quantitative Aptitude • Q119

The value of 6815÷79 of (1110+515)+25÷7156\frac{8}{15}\div \frac{7}{9}\text{ of }\left(1\frac{1}{10}+5\frac{1}{5}\right)+\frac{2}{5}\div 7\frac{1}{5} is: 

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. 25/18

Given that

6815÷79 of (1110+515)+25÷7156\frac{8}{15}\div \frac{7}{9}\text{ of }\left(1\frac{1}{10}+5\frac{1}{5}\right)+\frac{2}{5}\div 7\frac{1}{5}

⇒ 9815÷79 of (1110+265)+25÷365\frac{98}{15}\div \frac{7}{9}\text{ of }\left(\frac{11}{10}+\frac{26}{5}\right)+\frac{2}{5}\div \frac{36}{5}

⇒ 9815÷79 of (1110+265)+25×536\frac{98}{15}\div \frac{7}{9}\text{ of }\left(\frac{11}{10}+\frac{26}{5}\right)+\frac{2}{5}\times \frac{5}{36}

⇒ 9815÷79×6310+118\frac{98}{15}\div \frac{7}{9}\times\frac{63}{10}+\frac{1}{18}

⇒ 9815÷4910+118\frac{98}{15}\div \frac{49}{10}+\frac{1}{18}

⇒ 9815×1049+118\frac{98}{15}\times \frac{10}{49}+\frac{1}{18}

⇒ 43+118\frac{4}{3}+\frac{1}{18}

⇒ (24 + 1)/18 = 25/18