Quantitative Aptitude - Arithmetic Ability Questions

An isosceles triangle ABC has sides AB = AC. If side BA is produced to D in such a manner that AC=AD. Then what will the measure of the angle BCD?

If two marbles are picked at random, what is the probability that either both are red or both are green?

An alloy contains copper and tin in the ratio 3 : 2. If 250 gm of copper is added to this alloy then the copper in it becomes double the quantity of tin in it. What is the amount (in gm) of tin in the alloy?

P and Q can complete a task in 50 and 20 days respectively. In how many days can they complete 70% of the task if they work together?

Solve the following equation to find x: (x − 2)2 − 36 = 0 : xεN

If sin P + cosec P = 2, then the value of sin7P + cosec7P is

Triangle PQR is inscribed in a circle such that P, Q and R lie on the circumference. If PQ is the diameter of the circle and ∠PQR = 40°, then what is the value (in degrees) of ∠QPR?

What is the value of tan3A?