Aptitude and Reasoning Questions

What is the value of ( 1/√3 + cot60) ?

If 7 + 4x > 3 + 3x and 3x -­ 2 < 5 -­ x; then x can take which of the following values?

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 mobiles are phones

Statement II:
All phones are devices

Conclusion I:
Some phones are devices

Conclusion II:
No devices are phones

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) Out of 100 people 87 do regular exercising and 35 restrain from unnecessary diet.
(II) These 100 people belong to metro city region.

Conclusion:
(I) 35 % people do exercising and dieting.
(II) In metro city region people are more health conscious.

What is the sum of the first 11 terms of an arithmetic progression if the 4th term is 11 and the 7th term is -4?

The radius of a sphere and right circular cylinder is 'r'. Their volumes are equal. The ratio of the height and radius of the cylinder is:

Which one of the following combination of measurements can form the sides of a triangle?

An angle is smaller than its supplementary by 30°. What is the measure of the angle?