Quantitative Aptitude - Arithmetic Ability Questions

If a+1b=1 and b+1c=1 , then the value of c+1a is

If tanA + tanB = X, then the value of X is

If a + b = 1, then a4 + b4 - a3 - b3 - 2a2b2 + ab is equal to

After excluding stoppages, the speed of a bus is 60 kmph and after including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour?

The arithmetic mean of the marks scored by students of a class is 58. 20% of them secured a mean score of 60. The mean score of another 30% of the students was 40. The mean score of the remaining students is

∆DEF is right angled at E. If m∠F = 45°, then find the value of (cosecD - 1/√3).

The average of 7 numbers is 30. If the average of first three numbers is 25 and that of last three numbers is 35, then what is the fourth number?

Two vessels of equal capacity contains juice and water in the ratio of 5 : 1 and 5 : 7 respectively. The mixture of both the vessels are mixed and transferred into a bigger vessel. What is the ratio of juice and water in the new mixture?