Quantitative Aptitude • Number System & SimplificationEasy
Simplify: (51² − 7²) ÷ (51 − 7)
A. 58✓ Correct Answer
B. 116
C. 357
D. 44
💡 Solution & Explanation
Use the identity a² − b² = (a + b)(a − b). So (51² − 7²) ÷ (51 − 7) = (51 + 7)(51 − 7) ÷ (51 − 7) = 51 + 7 = 58. This saves squaring 51 and 7: 2601 − 49 = 2552, and 2552 ÷ 44 = 58 gives the same answer.
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