What should come in place of the question mark for the following mathematical statement to be true 9...........

Quantitative Aptitude (MTS) Simplification

What should come in place of the question mark (?) for the following mathematical statement to be true?

(9576 ÷ −21) × (462 ÷ −42) − 563 × 8 = (?)³

This questions was previously asked in

SSC MTS 11th July 2022 Shift-1

Sure! Let's evaluate the expression step by step:

- Divide 9576 by -21 to get -456.

- Divide 462 by -42 to get -11.

- Multiply -456 by -11 to get 5016.

- Multiply 563 by 8 to get 4504.

- Subtract 4504 from 5016 to get 512.

- Now, find the cube root of 512.

Now, let's explore the options:

- Option 1: 5

\(5^3 = 125\), so this is incorrect.

- Option 2: 7

\(7^3 = 343\), so this is incorrect.

- Option 3: 3

\(3^3 = 27\), so this is incorrect.

- Option 4: 8

\(8^3 = 512\), so this is correct.

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