Quantitative Aptitude - Arithmetic Ability Questions

Bhanu takes a total of 6 hrs 50 min in walking a distance and running back to same place where she started. She could walk both ways in 8 hrs 30 min. The time taken by her to run both ways is :

What is the value of [(cos32θ + 3 cos 2θ)÷(cos6θ – sin6θ)]?

If 1p+1q = 1p+q, then the value of p3-q3

Mandeep works 3 times as fast as Sampat. If Sampat can complete a job alone in 60 days, then in how many days can they together finish the job?

M can complete 3/4 part of a work in 12 days and N can complete 2/7 part of the same work in 8 days. In how many days will both complete 11/14 part of the total work?

If P = 7 + 4√3 and PQ = 1, then what is the value of (1/P2) + (1/Q2)?

In the following question, select the odd number pair from the given alternatives.

If (4a-3)2=0,then the value of 64a3+12a+13 is