Quantitative Aptitude - Arithmetic Ability Questions

If (x/5) + (5/x) = – 2, then what is the value of x3?

If Tan θ = 4/3, then what is the value of Sin θ?

The value of x for which the expressions 5x + 17 and 17x - 5 become equal is _____.

Two pipes X and Y can fill an empty tank in 16 hours and 20 hours respectively. Pipe Z alone can empty the completely filled tank in 25 hours. Firstly both pipes X and Y are opened and after 6 hours pipe Z is also opened. What will be the total time (in hours) taken to completely fill the tank?

In the given figure, ABC is a right angled triangle. ABC = 90 deg and ACB = 60 deg. If the radius of the smaller circle is 2 cm, then what is the radius (in cm) of the larger circle?

If {12(a-b)}2+ab=p(a+b)2, then the value of p is 

If sec2θ + tan2θ = 5/3, then what is the value of tan2θ?

Robin can do a work in 10 hours. Pradeep and Robin together can do the same work in 4 hours. Pradeep and Nitin together can do the samework in 5 hours. In how many hours Nitin alone can complete the same work?