Question

a box contains some number of balls.if the balls are distributed between 2 persons there will one extra ball,similarly,when it is distributed among 3,4,5,6 persons there will be 1 ball extra. if the balls are distributed among 7 persons then there will be no extra ball. then how many balls the box contain?​

Answer 1

Answer:

721 balls

Step-by-step explanation:

This is calculated by LCM of the given numbers, such that:

LCM(2,3,4,5,6) +1 = 7k

As LCM(2,3,4,5,6)=120, we need to find 120 p+1, divisible by 7.

When 120 is divided by 7 it leaves reminder of 1, so 6*120+1 =721 is divisible by 7.

The answer is 721 balls

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