Identify an even number from the following numbers.

2024

Identify an even number from the following numbers.

Answer: A. 3652A whole number is even if and only if it is exactly divisible by 2 -- equivalently, its units (last) digit belongs to the set {0, 2, 4, 6, 8}. A number whose…

  1. A.

    3652

  2. B.

    345

  3. C.

    3697

  4. D.

    35

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Correct answer: A

A whole number is even if and only if it is exactly divisible by 2 -- equivalently, its units (last) digit belongs to the set {0, 2, 4, 6, 8}. A number whose last digit is odd (1, 3, 5, 7, 9) leaves a remainder of 1 when divided by 2, so it is odd.

Number

Last digit

Divisible by 2?

3652

2

Yes (even)

345

5

No (odd)

3697

7

No (odd)

35

5

No (odd)

Confirming by direct division: 3652 divided by 2 equals 1826 with remainder 0, so 3652 is even. Each of the other three numbers leaves a remainder of 1 when divided by 2, consistent with their odd last digits.

Since 3652 is the only number among the given options satisfying the even-number rule, it is the correct answer.

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