What approximate value should come in the place of question mark in the following question 255 89 15...........

Quantitative Aptitude (SBI-PO) Approximation

What approximate value should come in the place of question mark (?) in the following question? 255.89 + (15.98)³ ÷ 16.09 = 2^? × 64 ÷ 2

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SBI PO Prelims

To solve the equation and find the approximate value in place of the question mark, follow these steps:

- Given equation: \( 255.89 + \frac{(15.98)^3}{16.09} = 2^? \times 64 \div 2 \).

- Approximate \( 15.98^3 \) as \( 16^3 = 4096 \).

- Approximate \(\frac{4096}{16.09}\) as \(\frac{4096}{16} = 256\).

- So, the left side is approximately \( 255.89 + 256 = 511.89 \).

- Simplify the right side: \( 2^? \times 32 = 511.89 \).

- So \( 2^? \approx \frac{511.89}{32} \approx 16 \).

- \( 2^4 = 16 \).

Correct Answer: 3 (Option: 3).

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