The perimeter of a square and an equilateral triangle is the same if the length of the diagonal of the square is $$ {12 \ sqrt {2}} $$ cm. If, what will be the area of the triangle?

In an election only two candidates A and B contested 30% of the voters did not vote and 1600 votes were declared as invalid. The winner, A got 4800 votes more than his opponent thus he secured 51% votes of the total voters on the voter list. Percentage votes of the loser candidate, B out of the total voters on the voter list is:

A box contains 56 in the form of coins of one rupee, 50 paise and 25 paise. The number of 50 paise coins is double the number of 25 paise coins and four times the number of one rupee coins. How many 50 paise  coins are there in the box?

The HCF and LCM of two numbers are 12 and 336 respectively. If one of the number is 84, the other is

If (x +y) = 6 and x² + y² = 20 then find the value of (x - y) ².

If tan α = 2, then the value of   $$ {cosec^2 α - sec^2 α}\over{cosec^2 α + sec^2 α}   $$ is : 

In an examination, 93% of students passed and 252 failed. The total number of students appearing at the examination was:

16 children are to be divided into two group A and B consisting of 10 and 6 children. The average percent marks obtained by the children of Group A is 75 and the average percent marks of all the 16 children is 76. What is the average percent marks of children of Group B?