CBSE#!#Divisibility Rules of 2,3,5,6,9 and 10

Discussion OF worksheet-5|| Cyclicity OF number 0,1,2,3,4,5,6,7,8,9 example based on cyclicity test OF divisibility 2,3,4,5,6,7,8,9,10,11,12,26

If A = {1,2,3,4,5,"……..",10} , then the number of subsets of A which consists of 2,4,6,8 and 10 but not 1,3,5,7 and 9 is "_______" .

Find the least square number which is divisible by 3, 5, 6, and 9.

2x+3y=5 6x+9y=10

Five numbers are selected from 1, 2, 3, 4, 5, 6, 7, 8 and 9. The probability that their product is divisible by 5 or 7 is

Which of the following statements are true? If a number divisible by 3, it must be divisible by 9. If a number is divisible by 9, it must be divisible by 3. If a number is divisible by 4, it must be divisible by 8. If a number id divisible by 8,it must be divisible by 4. A number is divisible by 18, if it is divisible by both 3 and 6. If a number divisible by both 9 and 10, it must be divisible by 90.

Using divisibility tests,determine which of the following numbers are divisible by 2; by 3; by 4; by 5; by 6; by 8; by 9; by 10; by 11 (say,yes or no ):

In the given series, how many 8s are there that are not divisible by the number to its left but completely divisible by the number to its right. 5 6 3 2 4 8 8 8 9 2 6 6 5 8 8 3 4 3

Prove that ,the relation R on the set A={1,2,3,4,5,6,7,8,9,10,11,12,13} defined by aRb if and only if a-b is divisible by 3 ,is an equivalence relation.

How many 6-digit numbers can be formed from the digits 0,3,5,7 and 9 which are divisible by 10 and no digits is repeated?