Quantitative Aptitude - Arithmetic Ability Questions

cot3A is equal to

If ab+ba=1,then the value of a3+b3 is

A number is divided by 52, we get 27 as remainder. On dividing the same number by 13, what will be the remainder?

If 8/5 of 4/3 of a number is 192, then 5/6 of that number is

A can do a work in 15 days and B in 20 days. If they work on it together for 5 days, then what fraction of work is left?

In ∆ABC two medians BE and CF intersects at the point O and P,Q are the midpoints of BO and CO respectively. If the length of PQ=3cm, then the length of FE will be

A man can row his boat at a speed of speed of 4 kmph and he finds that the time taken rowing upstream is double to that taken downstream. Find the speed of the stream (in kmph).

If ab-1b=cb-1c=ac-1a, then ac+ba+cb