Quantitative Aptitude - Arithmetic Ability Questions

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

What is the value of tan 7π/4?

If x3 + y3 + z3 = 3(1 + xyz), P = y + z – x, Q = z + x – y and R = x + y – z, then what is the value of P3 + Q3 + R3 – 3PQR?

The cash difference between the selling price of an article at a profit of 4% and 6% is Rs. 3. The ratio of two selling prices is:

In an alloy of German silver the ratio of copper to zinc was 17:7 while that of nickel to zinc was 4 :3. The ratio of copper to zinc to nickel in the alloy was

What is the value of 2sec2A?

The 3rd and 9th term of an arithmetic progression are -8 and 10 respectively. What is the 16th term?

PQRA is a rectangle, AP = 22 cm, PQ = 8 cm. ΔABC is a triangle whose vertices lie on the sides of PQRA such that BQ = 2 cm and QC = 16 cm .Then the length of the line joining the mid points of the sides AB and BC is