Quantitative Aptitude - Arithmetic Ability Questions

The value of sec2θ + 2tanθcotθ - tan2θ is

If 4x + 5y = 14 and x - 5y = 16 then the value of x and y are

There are 10 dozen apples, 15 dozen mangoes and 20 dozen oranges for selling. If 1/2, 1/3 and 1/4 of them are sold respectively. How many of the total fruits are remaining?

The value of tan(-405°)

Solve the following

78 ÷[-4 + -3 of 27 ÷ -18 ÷ -2]

If √20 + √125 = 15.65, then what is the value of √45 + √5?

ΔPQR is right angled at Q. If m∠P = 45°, then find the value of (cosecR + 1/3).

In ΔPQR measure of angle Q is 90°. If cosP = 5/13, and PQ = 2.5cm, then what is the length (in cm) of side PR?