JEE Main 2015 Mathematics question

Not in JEE syllabus

The contrapositive of the statement "If it is raining, then I will not come", is

(1)if I will come, then it is not raining.Correct
(2)if I will come, then it is raining.
(3)if I will not come, then it is raining.
(4)if I will not come, then it is not raining.

Answer: (1)

Solution

The contrapositive of "if then " is "if not then not ", and it is logically equivalent to the original statement. Here is "it is raining" and is "I will not come". Then is "I will come" and is "it is not raining", so the contrapositive is

See the full step-by-step solution

Create a free account to read the complete working, and practise questions like this in a timed test.

Create a free account

Question ID VK-115298