Quantitative Aptitude - Arithmetic Ability Questions

If Tan A = 15/8 and Tan B = 7/24, then Tan (A - B) = ?

The value of sec2θ + 2tanθcotθ - tan2θ is

What is the value of ( 1/3 - cosec30°) ?

If n + n2 + n4 + n8 = 45, then find the value of 'n' which will satisfy the equation.

If the radius (r) of a circle is increased by 'x' units, what is the number of units by which the circumstance of the circle is increased?

A boat goes 15 km upstream and 10 1/2 km down stream in 3 hrs 15 min. It goes 12 km upstream and 14 km downstream in 3 hrs. What is the speed of the boat in still water?

If a2+1=a, then the value of a3 is

In the question two statements are given, followed by two conclusions, I and II. You have to consider the statements to be true even if it seems to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follows from the given statements.

Statement I:  All bins are baskets

Statement II:  No buckets are bins

Conclusion I:  All baskets are buckets

Conclusion II:  All buckets are baskets