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

Find the sum of 2x terms of the series ( 1² - 2² + 3² - 4² + ___ ) 

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 

Directions: Find the wrong number in the following number series:

141, 156, 147, 162, 153, 165, 159

If 30% of a = b, then b% of 50 is the same as:

If a shopkeeper buys 2 oranges for Rs.5 and sells 3 for Rs.7 only, then what percentage of loss and loss did he gain?

The smallest number, which when added to 680621 gives the sum a perfect square number, will be

The smallest positive integer, which when multiplied by 392 gives the product a perfect square number, will be :