Quantitative Aptitude - Arithmetic Ability Questions

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

Find out the odd word/letters/number/number pair from the given alternatives.

In triangle ABC, AB = 8 cm, angle A is bisected internally to intersect BC at D. BD = 6 cm and DC = 7.5 cm. What is the length of CA?

Calculate the total numbers of prime factors in the expression (5)11 x (5)7 x (7)5 x (3)2 x (17)2.

The reciprocals of the squares of the numbers 11⁄2 and 11⁄3 are in the ratio

A thief is stopped by a policeman from a distance of 450 metres. When the policeman starts the chase, the thief also starts running. Assuming the speed of the thief as 7 km/h and that of policeman as 12 km/h, how far the thief would have run, before he is over­ taken?

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?

X, Y and Z are partners in a company. In one year X receives 1/4 part of profit, Y receives 1/5 part of profit and Z receives Rs 22000. How much amount (in Rs) will X get as profit?