n(n + 1)(n + 5) is a multiple of ______?
- 7
- 5
- 3
- None of these
Explanation
Given n(n + 1)(n + 5):
1. n(n + 1) is always even (multiple of 2) since it's the product of two consecutive integers.
2. For divisibility by 3:
If n is a multiple of 3, the expression is divisible by 3.
If n = 3k + 1, then n + 5 = 3k + 6 is divisible by 3.
If n = 3k + 2, then n + 1 = 3k + 3 is divisible by 3.
Given these cases, n(n + 1)(n + 5) is divisible by 3.
Related MCQs
- 3/x + 5/(x+2)
- 4/x + 5/(x+2)
- 5/x + 5/(x+2)
- None of these
اس سوال کو وضاحت کے ساتھ پڑھیں
- 40
- 50
- 60
- None of these
اس سوال کو وضاحت کے ساتھ پڑھیں
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