Aptitude and Reasoning Questions

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) Empty set is a subset of any set.
(II) A set is a subset of power set.

Conclusion:
(I) Empty set is a power set.
(II) A set is a subset of power set.

AD is the Median of Δ ABC. If O is the centroid and AO = 10 cm then OD is

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.

What will come in the place of the question mark (?) in the following number series?305, 338, 404, 503, 635 , (?)

An article was sold for Rs. 2100 at a profit of 25%. What is its cost price?

If A + B = 90 deg and Cos B = 1/3, then the value of Sin A is

The pie chart shows the share of tiger population in six wild life sanctuaries (A, B, C, D, E, F) of a country. Study the diagram and answer the following questions.

Which wild life sanctuary has more tigers than D but less than F?

The triangle in which the orthocenter, circumcentre, Incenter and the centroid coincide each other at a point is known as _____________.