Question 20
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From 1 to 1000 there are 31 perfect squares and 10 perfect cubes.
How many numbers from 1 to 1000 are perfect squares but not perfect cubes?
- A 21
- B 31
- C 38
- D 28 Correct
Correct Answer: Option D
Both = sixth powers: 1, 64, 729 → 3
Squares only = 31 − 3 = 28
Trap: 38 is squares or cubes (31 + 10 − 3).
Answer: 28
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