Aptitude and Reasoning Questions

If x = 2 +√3, y = 2 – √3 and z = 1, then what is the value of (x/yz) + (y/xz) + (z/xy) + 2 [(1/x) + (1/y) + (1/z)]?

Select the related word/letters/number from the given alternatives.
34 : 81 : : 23 : ?

Three consecutive integers form the lengths of a right-angled triangle. How many sets of such three consecutive integers is/are possible?

In the question below are given three statements followed by two conclusions which are numbered as I, and II. You have to take the given statements to be true even if they seem to be at variance with commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the given statements, disregarding commonly known facts.

Statements:
Some pages are papers.
No page is a book.
All books are pencils.

Conclusions:
I. All books can never be papers.
II. All pencils are papers is a possibility.

On a certain principal, simple interest amounts to Rs. 2,000 in two years at the rate of 10% p.a. What will be the difference in the amount of interest if the same is compounded on annual basis?

The total surface area of a hemisphere is 4158 cm2. Find its diameter (in cm).

A vendor buys 6 bananas for Rs 25 and sells them at 3 for Rs 20. What is his profit percentage?

A migrating bird flies 40 km North, then turns East and flies 50 km, then turns North and flies 110 km, and turns to its left and flies 50 km. Where is it now with reference to its starting position?