Aptitude and Reasoning Questions

Students are sitting in a row in which the position of X is 17th from the left and that of Y is 14th from the right. If they interchange their positions, X's position becomes 7th from the left. How many students are there in the row?

What is the value of 7293 + 441 - 3433 ?

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) Corruption has complete establishment in each sector of our country.
(II) Corruption has gone into their deep roots of every process and system.

Conclusion:
(I) People think about corruption in a routine way and not especially.
(II) The eradication of corruption depends upon every individual. No government can enforce rules or regulation on people.

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) All dogs are rats.
(II) Some rats are lizards.

Conclusion:
(I) Some dogs are lizards.
(II) Some lizards are dogs.

ABC is a right angled triangle with angle A = 90 deg. Then the value of cos2A+cos2B+cos2C is

Three angles of a quadrilateral are 60°,90°and 100°. Then the fourth angle of the quadrilateral is

What is the sum of the first 13 terms of an arithmetic progression if the 5th term is 1 and the 8th term is -17?

The average of 17 results is 60. If the average of first 9 results is 57 and that of the last 9 results is 65, then what will be the value of 9th result?