2 − 1 is divisible by 8, if is:

It is given that 2 − 1 is divisible by 8. − 1 can be written as the product of 8 and any integer. So, we can write 2 − 1 = 8, where is any integer. The above equation can be written as 2 = 8 + 1As 1 is added to 8, 2 is an odd integer. Hence, the correct option is (c) An odd integer.

2 − 1 is divisible by 8, if is:

It is given that 2 − 1 is divisible by 8. − 1 can be written as the product of 8 and any integer. So, we can write 2 − 1 = 8, where is any integer. The above equation can be written as 2 = 8 + 1As 1 is added to 8, 2 is an odd integer. Hence, the correct option is (c) An odd integer.

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𝑛² − 1 is divisible by 8, if 𝑛 is:

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Zero

A natural number

An odd integer

An even integer

answer is C.

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Detailed Solution

It is given that 𝑛² − 1 is divisible by 8.

𝑛 − 1 can be written as the product of 8 and any integer. So, we can write 𝑛² − 1 = 8𝑘, where 𝑘 is any integer. The above equation can be written as 𝑛² = 8𝑘 + 1

As 1 is added to 8𝑘, 2 is an odd integer. Hence, the correct option is (c) An odd integer.

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