Aptitude and Reasoning Questions

If 1/√(1 -­ sin2A) = x, then the value of x 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.

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.

The mean of marks secured by 35 students in division A of class X is 65, 45 students of division B is 61 and that of 70 students of division C is 59. What is the mean of marks of the students of three divisions of Class X?

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.

A series is given with one term missing. Choose the correct alternative from the given ones that will complete the series.

BDE, HJK, NPQ, ?

A series is given with one term missing. Choose the correct alternative from the given ones that will complete the series.

Core, Photosphere, Chromosphere, ?

Find out the odd word/letters/number/number pair from the given alternatives.

When a number x is divided by a divisor it is seen that the divisor = 4 times the quotient = double the remainder. If the remainder is 80 then the value of x is