Sunday, November 2, 2014

Math IQ

Again a mathematics question.


When a number is divided by 2 the remainder is 1.
When it is divided by 3 the remainder is 2.
When it is divided by 4 the remainder is 3.


Find the number or numbers which satisfy these conditions and  tell how did you find it?

Answer :
When a number is divided by 2 the remainder is 1. That means the (number+1) is divisible by 2.
In the same way, number+1 is divisible by 3 and 4 as well. Now we need to find the number/numbers which are divisible by 2,3 and 4

LCM(Least common multiple) comes in to play.

LCM for 2,3 and 4 is 12

[(Any number that is multiple of 12) - 1 ] will be the answer for this question.

Eg: 11,23,35,47

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