Question

1. The product of three consecutive numbers in all ways divisible by 6, verified this statement with the help of some examples .

2. if area of rectangle is 240 m² and one side is 60 m then find the other side of rectangle? ​

Answer 1

Answer:

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Step-by-step explanation:

1..

-1, 0, 1 is a collection of three consecutive numbers, their product is 0. 0 is divisible by 6, after all, 0=6*0.

3, 4, 5 is a collection of three consecutive numbers, their product is 60. 60 is clearly divisible by 6.

Here is how you verify this statement in general:

A number m is divisible by 6 if it is both even and it is divisible by 3.

For any three consecutive numbers, say, n, n+1, and n+2, one of those numbers is a multiple of 3. One or two of these numbers is even. So multiplying them together guarantees a factor of 2 and a factor of 3.

2.....

Area of rectangle = length x breadth

240 = 60 x Breadth

breadth ( other side ) = 240/60

= 4