Quantitative Aptitude • Number System & SimplificationEasy
Simplify: (33² − 18²) ÷ (33 − 18)
A. 594
B. 15
C. 102
D. 51✓ Correct Answer
💡 Solution & Explanation
Use the identity a² − b² = (a + b)(a − b). So (33² − 18²) ÷ (33 − 18) = (33 + 18)(33 − 18) ÷ (33 − 18) = 33 + 18 = 51. This saves squaring 33 and 18: 1089 − 324 = 765, and 765 ÷ 15 = 51 gives the same answer.
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