Aptitude and Reasoning Questions

In a triangle the length of the side opposite the angle which measures 60° is 6√3 cm. What is the length of the side opposite to the angle which measures 90°? 

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.

Statement:
(I) Determination is the key to success. If a person determines to achieve a certain goal in his or her life, no one can stop him/her from achieving it.
(II) Prioritizing various determined goals is another important aspect of decision making.

Conclusions:
(I) If I determine to achieve three goals in near future, my energy will get divided into three parts and I can never succeed.
(II) Making a prior plan for achieving those three things I can get near to all my goals.

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 insects are dangerous.

II. All machines are dangerous.

Conclusions:

I. All dangerous are insects.

II. All dangerous are machines.

III. Some machines are insects.

Which answer figure will complete the pattern in the question figure?

In a certain code language, '÷' represents '+', '-' represents 'x', '+' represents '÷' and 'x' represents '-'. Find out the answer to the following question.

17 - 20 + 5 x 30 ÷ 4 = ?

Simple interest on a certain sum of money for 3 years at 5% per annum is Rs. 5250. What will be the compound interest on that sum at the same rate for the same period?

The square root of 3249 is

In the following question, four number pairs are given. The number on left side of (–) is related to the number on the right side of (–) with some Logic/Rule/Relation. Three are similar on basis of same Logic/Rule/Relation. Select the odd one out from the given alternatives.