Quantitative Aptitude - Arithmetic Ability Questions

The length of diagonal of a square is 9√2 cm. The square is reshaped to form a triangle. What is the area (in sq.cm) of largest in circle that can be formed in that triangle?

Sita's bucket has thrice the capacity as Ramu's bucket. It takes 60 turns for Sita's bucket to fill the empty drum. How many turns it will take for both the buckets of Sita's and Ramu's, having each turn together to fill the empty drum?

An engineering student has to secure 25% marks to pass. He gets 56 and fails by 34 marks. Find the maximum marks.

If x = 1 + √2 + √3, then the value of x2-2x-4=0

What is the value of (1+cosA)/(1-­cosA)?

What is the value of tan 6° tan 36° tan 84° tan 54° tan 45°?

If sin ­- 5π/3 = x, then the value of x is

If α + β = 90° and α:β = 2:1, then the ratio of cosα to cosβ is