Aptitude and Reasoning Questions

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.

If the number x3331 is divisible by 11, what is the face value of x?

If the zeroes of the polynomial x2 - ax + b are 3 and 4, then 'a' and 'b' are respectively equal to

A man buys 7 shirts at Rs 300 each, 2 trousers at Rs 450 each and 1 pair of shoes at Rs 500 each. What is the average expenditure (in Rs) per article?

What is the quotient when 7251 is divided by 66?

If x2 – 12x + 33 = 0, then what is the value of (x – 4)2 + [1/(x – 4)2]?

The distance between two pillars is 120 metres. The height of one pillar is thrice the other. The angles of elevation of their tops from the midpoint of the line connecting their feet are complementary to each other. The height (in metres) of the taller pillar is (Use : √3 = 1.732)

The numerator of a fraction is multiple of two numbers. One of the numbers is greater than the other by 2. The greater number is smaller than the denominator by 4. If the denominator 7+C (C > -7) is a constant, then the minimum value of the fraction is