Quantitative Aptitude - Arithmetic Ability Questions

Which of the following is equivalent to 0.565656...?

If the square of sum of three positive consecutive natural numbers exceeds the sum of their squares by 292, then what is the largest of the three numbers?

The sum of the length and breadth of a rectangle is 6 cm. A square is constructed such that one of its sides is equal to a diagonal of the rectangle. If the ratio of areas of the square and rectangle is 5 : 2, the area of the square in cm2 is

The area of a rhombus is 24 m2 and the length of one of its diagonals is 8 m. The length of each side of the rhombus will be:

In the following question, select the related number from the given alternatives.
 
47 : 57 : : 93 : ?

What is the value of (tan45° + 1/√2) ?

If x4+1x4=119,then the value of x-1x is

G and AD are respectively the centroid and median of the triangle ΔABC.The ratio AG:AD is