If ![Screenshot 2025-05-28 124406.png](https://res.cloudinary.com/aptidude/image/upload/v1748416493/aptidude_questions/mcopp1kb5sv712vrunrz.png), then find the value of Q.

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Accepted Answer

Given equation: (3(16^3 - 6^3)) / (16^2 + 6^2 + Q) = 30

Step 1: Calculate 16^3 and 6^3
16^3 = 16 * 16 * 16 = 4096
6^3 = 6 * 6 * 6 = 216

Step 2: Calculate numerator 3(16^3 - 6^3)
= 3(4096 - 216) = 3(3880) = 11640

Step 3: Calculate 16^2 and 6^2
16^2 = 256
6^2 = 36

Step 4: Substitute values into denominator
Denominator = 256 + 36 + Q = 292 + Q

Step 5: Write the equation
11640 / (292 + Q) = 30

Step 6: Multiply both sides by (292 + Q)
11640 = 30(292 + Q)

Step 7: Expand right side
11640 = 8760 + 30Q

Step 8: Subtract 8760 from both sides
11640 - 8760 = 30Q
2880 = 30Q

Step 9: Divide both sides by 30
Q = 2880 / 30 = 96

Therefore, the value of Q is 96.

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