Quantitative Aptitude - Arithmetic Ability Questions

The alcohol and water in a mixture are in the ratio of 7 : 8 respectively. If 11 litre water is added to it, then the ratio of alcohol and water in the new mixture becomes 3 : 5. What is the total quantity (in litres) of the alcohol in the new mixture?

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 a+b-62+a2b2+1+2b=2ab+2a, then the value of a is 

What is the simplified value of (cos4 A – sin4 A)?

If sec -5π/4 = x, then the value of x is

What is the value of 23+5252-23 ?

If sinθ+cosθsinθ-cosθ=3,then the value of sin4θ-cos4θ is

Three clocks are designed to alarm in every hour, two hours and three hours respectively. If they all alrmed together three hours before, then after how many hours will they next alarm together?