It's Only Divisible If You Add One

Number Theory Level 1

All of the following statements are true, except one. Which one?

( 1 ) 1 × 2 (1) \ \, 1\times 2 is not divisible by 3.
( 2 ) 1 × 2 × 3 (2) \ \, 1\times 2\times 3 is not divisible by 4.
( 3 ) 1 × 2 × 3 × 4 (3) \ \, 1\times 2\times 3\times 4 is not divisible by 5.
( 4 ) 1 × 2 × 3 × 4 × 5 (4) \ \, 1\times 2\times 3\times 4\times 5 is not divisible by 6.

Statement (1) Statement (2) Statement (3) Statement (4)

Pi Han Goh by Pi Han Goh , 30, Malaysia

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3 solutions

I thought that 2 x 3 = 6 is enough to answer this problem.

However, I believe some people would be deceived if one of the choices is "They are all correct", or if the problem maker uses the factorial sign instead. Otherwise it is quite easy and obvious.

2 Helpful 0 Interesting 0 Brilliant 0 Confused

Yes I agree.Still the question possess a nice pattern for beginners to think upon.

Anandmay Patel - 4 years, 6 months ago
Joe Potillor
Nov 8, 2016

2 Helpful 0 Interesting 0 Brilliant 0 Confused
Viki Zeta
Nov 7, 2016

The answer is self explainable.

0 Helpful 0 Interesting 0 Brilliant 0 Confused

I am assuming it isn't for someone who wants to read the solution. If you feel like the answer would be too short (although there's no problem with that) maybe you can address the misconception that could happen for someone to answer this wrong?

Jason Dyer Staff - 4 years, 7 months ago

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