Write down any three-digit number (for example, 425). Examine why they work ?
Make a six-digit number by repeating these digits in the same order (425425). Your new number is divisible by 7, 11, and 13.

How many three digit numbers are divisible by 7?

How many 3-digit numbers are divisible by 7?

How many 6 - digit numbers can be formed the digits 0, 1, 3, 5, 7 and 9 which are divisible by 10 and no digit is repeated ?

A five digit number is formed by writing the digits 1,2,3,4,5 in a random order without repetition. Then the probability that the number is divisible by 4 is

Activity : Ask all the students in your class to write a 3 - digit number. Choose any student from the room at random. What is the probability that the number written by her/him is divisible by 3 ? Remember that a number is divisible by 3 , if the sum of its digits is divisible by 3.

How many 6 digit numbers can be formed from the digits 0,1,3,5,7,9 which are divisible by (i) 10, (ii) 5.

Find a three digit numberwhose consecutive digits form a GP. If we subtract 792 from this number, we get a number consisting of the same digits written in the reverse order. Now, if we increase the second digit of the required number by 2, then the resulting digits will form an AP.

Write the following rational numbers in the decimal form and find out the block of repeating digits in the quotient. 10/13

Write the following rational numbers in the decimal form and find out the block of repeating digits in the quotient. 5/11