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SSC CPO 2024 PYQ — Question 133

SSC CPO - 28 June 2024 - Shift 3 • Quantitative Aptitude • Q133

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Simplify the following.

2{3+3(14÷1520+2)−18×13}2(4+20÷4){2\left\{ 3+3({1\over4} ÷ {15\over20}+2)-18×{1\over3} \right\}}\over {2(4+20÷4)}

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Correct answer: C

Explanation

The correct answer is option 3 i.e.  494\over9.

 2{3+3(14÷1520+2)−18×13}2(4+20÷4){2\left\{ 3+3({1\over4} ÷ {15\over20}+2)-18×{1\over3} \right\}}\over {2(4+20÷4)}

⇒ 2{3+3(13+2)−18×13}2(4+5){2\left\{ 3+3({1\over3} +2)-18×{1\over3} \right\}}\over {2(4+5)}

 ⇒ 2{3+3(73)−6}2(9){2\left\{ 3+3({7\over3} )-6 \right\}}\over {2(9)}

 ⇒ 2{3+7−6}18{2\left\{ 3+7 -6 \right\}}\over {18}

 ⇒  2{4}18{2\left\{ 4 \right\}}\over {18}

 ⇒ 494\over9