Quantitative Aptitude - Arithmetic Ability Questions

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

If y=2secθ and x=3tanθ then x29-y24 is

30% of a number exceeds 25% of the same number by 27. What is the value of the number?

In a circle with centre O, AB is a diameter and CD is a chord which is equal to the radius OC. AC and BD are extended in such a way that they intersect each other at a point P, exterior to the circle. The measure of ∠APB is

2 ­- (cosA + sinA)2 is equal to

ΔABC is right angled at B. If m ∠A = 60°, then what is the value of 1/√3 Cosec C?

If x = a cosθ+ b sinθ and y = b cosθ- a sinθ, then x2 + y2 is equal to

What number should be added to each of 4, 16, 18 and 58 so that the resulting numbers will be in proportion in the given order?