What is the smallest digit that must be added to the product 5786 × 5784 to make it a perfect square?

A number when divided by 6 leaves remainder 3. When the square of the same number is divided by 6, the remainder is : 

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

What should be the least added to 41116 so that the sum is divisible by 8?

When 1062, 1134 and 1182 are divided by the greatest number .x, the remainder in each case is y. What is the value of (x − y)?

In a question on division, the divisor is 7 times the quotient and 3 times the remainder. If the remainder is 28, then the dividend is 

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

Direction : What value should come in place question mark(?) in the following questions?

$$ 4{7\over 8}$$ - $$ 2{1\over 2}$$+$$ 1{3\over 4}$$=?