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Playing With Numbers

If from a two-digit number, we subtract the number formed by
reversing its digits then the result so obtained is a perfect cube. How
many such numbers are possible? Write all of them

Playing With Numbers

A three-digit number 2 a 3 is added to the number 326 to give a three-digit number 5b9 which is divisible by 9. Find the value of b –a.

Playing With Numbers

756 x is a multiple of 11, find the value of x

Playing With Numbers

1y3y6 is divisible by 11. Find the value of y.

Playing With Numbers

Find the value of k where 31k 2 is divisible by 6.

Playing With Numbers

212 x 5 is a multiple of 3 and 11. Find the value of x.

Playing With Numbers

A five-digit number AABAA is divisible by 33. Write all the numbers of this form.

Playing With Numbers

If 1AB + CCA = 697 and there is no carry–over in addition, find the value of A + B + C.

Playing With Numbers

Find the least value that must be given to number a so that the number 91876a2 is divisible by 8.

Playing With Numbers

State whether the statement given in question is true (T) or false (F):

If N ÷ 5 leaves remainder 3 and N ÷ 2 leaves remainder 0, then
N ÷ 10 leaves remainder 4