Discussion

Explanation:

The lowest such possible perfect square is 16 (42).
The highest such possible perfect square is 10,000 itself (1002).
∴ The perfect squares are: 42, 62, ..., 1002 = (2 × 2)2, (2 × 3)2, ..., (2 × 50)2.

∴ Number of even perfect squares from 10 to 10,000 is (50 – 2 + 1) = 49.

Number of even numbers from 1 to 10,000 = 10,000/2 = 5000
Number of even numbers from 10 to 10,000 = 5000 - 4 = 4996 (excluding 2, 4, 6 and 8).

∴  Number of even numbers from 10 to 10,000 which are not perfect squares = 49996 - 49 = 4947.

Hence, 4947.

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Doubts


Kb said (2023-09-29 06:39:08)

They have asked not

Reply from Admin:

Correct done. Thanks


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