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InterviewSolution
| 1. |
If n is a positive integer, then n3 + 2n is divisible by : (a) 2 (b) 3 (c) 5 (d) 6 |
| Answer» <p style="text-align:justify"><span style="font-family:Arial,Helvetica,sans-serif"><span style="color:#000000"><strong>Correct option (b) 3 </strong></span></span></p><p><span style="font-family:Arial,Helvetica,sans-serif"><span style="color:#000000"><strong>Explanation:</strong></span></span></p><p style="text-align:justify"><span style="font-family:Arial,Helvetica,sans-serif"><span style="color:#000000">For n = 1, n<sup>3</sup> + 2n = 1<sup>3</sup> + 2 = 3 </span></span></p><p style="text-align:justify"><span style="font-family:Arial,Helvetica,sans-serif"><span style="color:#000000">which is divisible by 3 </span></span></p><p style="text-align:justify"><span style="font-family:Arial,Helvetica,sans-serif"><span style="color:#000000">∴ n<sup>3</sup> + 2n is divisibly by 3 for smallest positive integer.</span></span></p> | |