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SSC CPO 2024 PYQ — Question 133

SSC CPO - 29 June 2024 Shift 2 • Quantitative Aptitude • Q133

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The value of 7 + 8 × 8 ÷ 8 of 8 + 8 ÷ 8 × 54 ÷ 4 of 4 + 4 × 4 ÷ 4 − 4 ÷ 4{7 \ +\ 8\ ×\ 8\ ÷\ 8\ of\ 8\ +\ 8\ ÷\ 8\ ×\ 5}\over{4\ ÷\ 4\ of\ 4\ +\ 4\ ×\ 4\ ÷\ 4\ -\ 4\ ÷\ 4} is::

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Correct answer: A

Explanation

The correct answer is option 1 i.e. 4.

According to the given question,

7 + 8 × 8 ÷ 8 of 8 + 8 ÷ 8 × 54 ÷ 4 of 4 + 4 × 4 ÷ 4 − 4 ÷ 4{7 \ +\ 8\ ×\ 8\ ÷\ 8\ of\ 8\ +\ 8\ ÷\ 8\ ×\ 5}\over{4\ ÷\ 4\ of\ 4\ +\ 4\ ×\ 4\ ÷\ 4\ -\ 4\ ÷\ 4}

Applying the rules of BODMAS,

⇒ 7 + 8 × 8 ÷ 64 + 8 ÷ 8 × 54 ÷ 16 + 4 × 4 ÷ 4 − 4 ÷ 4{7 \ +\ 8\ ×\ 8\ ÷\ 64\ +\ 8\ ÷\ 8\ ×\ 5}\over{4\ ÷\ 16\ +\ 4\ ×\ 4\ ÷\ 4\ -\ 4\ ÷\ 4}

⇒ 7 + 1 + 1 × 514 + 4 × 1 − 1{7 \ +\ 1\ +\ 1\ ×\ 5}\over{{1 \over 4}\ +\ 4\ ×\ 1\ -\ 1}

⇒ 7 + 1 + 514 + 4 − 1{7 \ +\ 1\ +\ 5}\over{{1 \over 4}\ +\ 4\ -\ 1}

⇒ 13134{13}\over{{13 \over 4}} = 4

Hence the required answer is 4.