Aptitude and Reasoning Questions

If the Arithmetic mean of 7, 5, 13, x and 9 is 10, then the value of x is

The number of students in a class is increased by 20% and the number now becomes 66. Initially the number was

In 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. No purse is cloth.
II. All purses are leather.

Conclusions:
I. No leather is cloth.
II. Some leather are cloth.
III. Some leather are purses.

In a fraction when 3 is added to its numerator and denominator it becomes 4/5. And it becomes 1/2 when 2 is subtracted from both the numerator and denominator. Find the fraction.

The sum of two numbers is 25 and sum of their square is 313. Calculate the numbers.

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: Some beverages are juices

Statement II: No drinks are beverages

Conclusion I: Some juices are drinks

Conclusion II: No beverages are juices

What are the co-ordinates of the centroid of a triangle, whose vertices are A(-2,5), B(3,-2) and C(5,3)?

What is the value of S = 11x3x5 + 11x4 + 13x5x7 + 14x7 + 15x7x9 + 17x10 + ... upto 20 terms. Then what is the value of S?