Question 24
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How many ordered pairs (x, y) of positive integers satisfy x × y = 72?
- A 12 Correct
- B 6
- C 24
- D 9
Correct Answer: Option A
Each divisor x of 72 fixes y
72 = 2³ × 3² → (3 + 1)(2 + 1) = 12 divisors
Trap: 6 counts unordered pairs.
Answer: 12
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