Quantitative Aptitude - Arithmetic Ability Questions

Δ DEF is right angled at E. If m ∠D = 30°. What is the length (in cm) of DE, if EF = 2√3 cm?

What is the value of [(cos 7A + cos 5A)÷(sin 7A – sin 5A)]?

Junko sold an item for Rs. 220 at a loss of 12%. By how much should she have raised the price to make a profit of 10% ?

To cover a distance of 333 km in 2 hours by a car, what should be the average speed of the car (in meter/second)?

If two successive discounts of 50% and 10% are offered, then what is the net discount (in %)?

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

From an external point two tangents to a circle are drawn. The chord passing through the points of contact subtends an angle72° at the centre. The angle between the tangents is?

If cosecA - cotA = x, then the value of x is