If m is even, then (8m – 1) is divisible by:
Show answer & explanation
Correct answer: A
Explanation
The correct answer is Option 1 i.e. 63.
If m is even, then (8m – 1)
For m = 2
⇒ (8 × 2 - 1) = 16 - 1 = 15 (not in options)
For m = 4
⇒ (8 × 4 - 1) = 32 - 1 = 31 (not in options)
For m = 6
⇒ (8 × 6 - 1) = 48 - 1 = 47 (not in options)
For m = 8
⇒ (8 × 8 - 1) = 64 - 1 = 63 (In options)
Thus, (8m – 1) is divisible by 63