A number which when divided by 10 leaves a remainder of 9 , when divided by 9 leaves a remainder of 8 , and when divided by 8 leaves a remainder of 7 , is :

3¹¹ + 3¹² + 3¹³ + 3¹⁴ is divisible by which of the following?

The least number that should be added to 35460 so that the sum is exactly divisible by 3, 4, 5 and 7 is:

For what value of ‘y’, $$ {x^{2}+{1\over12}{x}+y^{2}}$$ is perfect square?

The product of two consecutive even numbers is 168. Find the sum of the numbers?

Evaluate 743 x 999.

In a division sum, the divisor is ten times the quotient and five times the remainder. If the remainder is 46, find the dividend.

If a certain number of two digits is divided by the sum of its digits, the quotient is 6 and the remainder is 3. If the digits are reversed and the resulting number is divided by the sum of the digits, the quotient is 4 and the remainder is 9. The sum of the digits of the number is