Aptitude and Reasoning Questions

What smallest number should be added to the sum of squares of 15 and 14, so that the resulting number is a perfect square?

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

Statements:
(I) Library is a place where one may find any answer to his/her question.
(II) Books in any form whether physical or electronic are advantageous for resolving any kind of query.

Conclusion:
(I) Every question has an answer and one can find it in a book.
(II) Books give all related information pertaining to the title they have.

There is 40% increase in an amount in 8 years at simple interest. What will be the compound interest (in rupees) of Rs 30000 after 2 years at the same rate?

Which of the cube in the answer figure cannot be made with folding of the given question figure?

The diagonal of a square is 10 cm. What is the length (in cm) of its side?

In each of the following question below are given some statements followed by some conclusions. Taking the given statements to be true even if they seem to be at variance from commonly known facts, read all the conclusions and then decide which of the given conclusion logically follows the given statements.

Statements:
I. All cups are vegetable.
II. All vegetable are pens.

Conclusions:
I. Some pens are vegetable.
II. Some pens are cups.

In the following question, select the number which can be placed at the sign of ? from the given alternatives.

In the series 5442673314884743581,the number of 4s that are completely divisible by the number on their right but not divisible by the number on their left is