Quantitative Aptitude - Arithmetic Ability Questions

In ΔABC measure of angle B is 900. If cotA = 8/15, and AB = 0.8cm, then what is the length (in cm) of side BC?

If in the population of a town there is an increase of 44% in the first year and 75% in the second year, then what is the average rate of increase in the population?

The population of a town increases by 5% in the first year, by 6% in the second year and by 8% in third year. The present population of town is 120204. What was the population of the town 3 years ago?

How many numbers are there from 2000 to 7000 which are both perfect squares and perfect cubes?

A, B and C can do a job working alone in 50, 75 and 20 days respectively. They all work together for 4 days, then C quits. How many days will A and B take to finish the rest of the job?

If tan 45° + cosec 30° = x, then find the value of x.

In a school , 391 boys and 323 girls have been divided into the largest possible equal classes , so that each class of boys numbers the same as each class of girls . What is the number of classes ?

A card is drawn from a pack of 52 cards. What is the probability that either card is black or a king?