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Find a rational number lying strictly between 1/4 and 1/3:
A1/5
B1/6
C7/24
D5/12
Answer & Solution
Correct answer: C. 7/24
Use the average: (1/4 + 1/3) / 2 = (3/12 + 4/12) / 2 = (7/12) / 2 = 7/24. Verify: 1/4 = 6/24, 1/3 = 8/24, and 7/24 indeed lies between them. (1/5 = 4.8/24 < 1/4, 1/6 < 1/5 < 1/4, 5/12 = 10/24 > 1/3 — all outside the interval.)
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