The value of P varies directly as the square of Q When Q is 4 then P is 48 What is the value of Q wh...........

Quantitative Aptitude (MTS) Number System

The value of P varies directly as the square of Q. When Q is 4, then P is 48. What is the value of Q when P is 243?

This questions was previously asked in

SSC MTS 20th July 2022 Shift-1

- Direct Variation: The value of P varies directly as the square of Q. This means P = k * Q^2, where k is a constant.

- Finding k: When Q is 4, P is 48. So, 48 = k * 4^2, which simplifies to k = 3.

- Equation: Now we know P = 3 * Q^2.

- Find Q when P is 243: Substitute P = 243 in the equation, so 243 = 3 * Q^2. This gives Q^2 = 81, which means Q = 9.

- Options and Correct Answer: Among the options provided (1, 3; 2, 27; 3, 9; 4, 81), Option 3 corresponds to 9.

Therefore, the correct answer is:

- Option:3, 9

Submit Error