Quantitative Aptitude - Arithmetic Ability Questions

If k is the largest possible real number such that p4+q4=(p2+kpq+q2)(p2-kpq+q2),then the value of k is

A and B together can do a piece of work in 10 days. If A can do the work in 15 days, find in how many days that B alone can do the same work. Given below are the steps involved in solving the above problem. Arrange them in sequential order.

A) One day's work of B is 1/10 - 1/15

B) One day's work of A and B is 1/10 and One day's work of A is 1/15

C) B alone can do the work in 30 days

D) One day's work of B is 1/30

The average of runs scored by a cricketer in his 99 innings is 99. How many runs will he have to score in his 100th innings so that his average of runs in 100 innings may be 100?

Find the odd one out.

If cos 27° = x, the value of tan 63° is

What number should be added to each of the numbers 55, 100, 65 and 116, so that the resulting numbers are in continued proportion?

Two numbers are in the ratio 3:5. If 6 is added to both of them, the ratio becomes 2:3. The numbers are