Quantitative Aptitude • Number System & SimplificationEasy
Simplify: (48² − 6²) ÷ (48 − 6)
A. 42
B. 108
C. 288
D. 54✓ Correct Answer
💡 Solution & Explanation
Use the identity a² − b² = (a + b)(a − b). So (48² − 6²) ÷ (48 − 6) = (48 + 6)(48 − 6) ÷ (48 − 6) = 48 + 6 = 54. This saves squaring 48 and 6: 2304 − 36 = 2268, and 2268 ÷ 42 = 54 gives the same answer.
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