Aptitude and Reasoning Questions

One or two statements are given followed by two conclusions/assumptions, I and II. You have to consider the statement to be true, even if it seems to be at variance from commonly known facts. You are to decide which of the given conclusions/assumptions can definitely be drawn from the given statement. Indicate your answer.
Statements: 1. All mangoes are golden in colour. 2. No golden coloured things are cheap.
Conclusions: I. All mangoes are cheap. II. Golden-coloured mangoes are not cheap.

Which of the numbers given below is NOT rational?

Simple interest on a certain sum of money for 3 years at 8% per annum is half the compound interest on Rs 1200 for 2 years at 10% per annum. The sum placed on simple interest is

In the given figure, the angle bisectors of B and C of an isosceles triangle intersect at point O. Find the angle BOC (in degree), when ∠ABC = ∠ACB = 75°.

Choose the odd word/letters/number/number pair from the given alternatives.

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.

Statement:
(I) Some authors are teachers.
(II) No teacher is a lady.

Conclusions:
(I) Some teachers are not ladies.
(II) Some ladies are not teachers.

The ratio of present ages of Rangana and Sayed is 7:5. After 11 years the ratio of their ages will be 4:3. What is Rangana's present age?

Slope of the line AB is -2/3. Co-ordinates of points A and B are (x , -3) and (5 , 2) respectively. What is the value of x?