Quantitative Aptitude - Arithmetic Ability Questions

From the circumcentre I of the triangle ABC, perpendicular ID is drawn on BC. If ∠BAC = 60°, then the value of ∠BID is

In a container, two types of liquids P and Q are in the ratio of 3 : 7. If 10 litres mixture is drawn off from the container and filled with 6 litres of liquid Q,then the ratio of P and Q becomes 1 : 3. What was the original quantity (in litres) of mixture?

In a mixture of 25 litres, the ratio of milk to water is 4:1. Another 3 litres of water is added to the mixture. The ratio of milk to water in the new mixture is

If a is positive and a2+1a2 = 7, then a3 + 1a3 = ?

If 2x + 3(5-2x) > 2 - 3x < 2x - x/3, then x can take which of the following values?

If [2(4x/5 - 3/4)]/3 - 5/3 = -1/6, then the value of x is?

If sec2θ+tan2θ=3, then sec4θ-tan4θ =

What is the equation of line whose slope is -1/2 and passes through the intersection of the lines x - y = -1 and 3x - 2y = 0?