Aptitude and Reasoning Questions

If cot(A/2) = x, then x is equal to

What is the simplified value of cosec6A – cot6A – 3 cosec2A cot2A?

If 'P 3 Q' means 'P is daughter of Q', 'P 5 Q' means 'P is father of Q', 'P 7 Q' means 'P is mother of Q' and 'P 9 Q' means 'P is sister of Q', then how is J related to K in J 3 L 9 N 3 O 5 K?

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 notebooks are diaries
Statement II:
All books are notebooks

Conclusion I:
All diaries are books
Conclusion II:
All books are diaries

Select the option that depicts the correct mirror image of the given figure when the mirror is held at the MN line shown.

Consider the following information and answer questions based on it.

Seven bottles colored - brown, blue, black, violet, white, indigo and purple are kept in a row, in random order, from left to right such that the -

1. White and purple bottles are not at either extremes.

2. Brown bottle is to the immediate right of violet bottle and to the immediate left of the white bottle.

3. White, violet and brown bottles are not at the center.

4. Black bottle is to the immediate left of purple bottle.

5. Blue bottle is neither second last nor at either extremes.

Which of the following statement is correct?

The income of a person is Rs 45000 and his expenditure is Rs 33000. If his income is increased by 22% and expenditure in increased by 11%, then what will be the percentage increase in his savings?

Deepak marks the price of his table 60% above the cost price. He gives some discount on it and earns profit of 15.2%. What is the discount percentage?