Question 19
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The numbers 1 to 100 are sorted into perfect squares and perfect cubes.
How many numbers from 1 to 100 are neither perfect squares nor perfect cubes?
- A 88 Correct
- B 86
- C 90
- D 12
Correct Answer: Option A
Squares or cubes = 8 + 2 + 2 = 12
(1 and 64 are both)
Neither = 100 − 12 = 88
Trap: 86 counts 1 and 64 twice.
Answer: 88
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