Quantitative Aptitude - Arithmetic Ability Questions

If secA/√(sec2A ­- 1) = x, then value of x is

Find the value of  x3 - y3, if x - y = 4 and xy = 12.

The co-ordinates of the centroid of a triangle ABC are (1 , -4). What are the co-ordinates of vertex C if co-ordinates of A and B are (3 , -4) and (0 , 5) respectively?

ΔXYZ is similar to ΔPQR. If ratio of Perimeter of ΔXYZ and Perimeter of ΔPQR is 4:9 and if PQ = 27 cm, then what is the length of XY (in cm)?

Mayank, Deepak and Pawan, each of them working alone can complete a work in 5, 10 and 15 days respectively. If all three of them work together to complete a work and earn Rs. 12000 what will be Deepak's share of the earnings?

The ratio of sand to gravel in a mixture is 17:8 while that between gravel and cement is 6:17. What is the ratio of sand to cement in the mixture?

If tanθ + cotθ = 5, then the value of tan2θ + cot2θ is

Two chords AB and PQ of a circle intersect at D inside a circle. If AD = 4 cm, DB = 6 cm, QD = 3 cm, the length of PQ is equal to