Which of the following numbers are divisible by 2 but not by 4?
A
28
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B
324
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C
2356
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D
8026
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Solution
The correct option is D 8026 ⇒ Divisibility by 2: Any even number or number whose last digit is an even number i.e. 2,4,6,8 including 0 is always completely divisible by 2.
⇒ Divisibility by 4: If the last two digits of a number are divisible by 4, then that number is a multiple of 4 and is divisible by 4 completely.
⇒28,324 and 2356 are divisible by both 2 and 4.
⇒8026 contains last digit 6, so it is divisible by 2.
⇒8026 last two digit is not divisible by 4.
∴8026 is the number which is divisible by 2 but not 4.