Question

Which of the following compound statement has both true component statements?

(a) A prime number is divisible by 2 and odd

(b) Two and two makes four or five

(c) All integers are positive and divisible by 2

(d) 100 is divisible by 2 and 5

The question was asked in class test.

My enquiry is from Mathematical Reasoning in portion Mathematical Reasoning of Mathematics – Class 11

Answer 1

Correct choice is (d) 100 is divisible by 2 and 5

Easiest explanation: Prime number is not divisible by 2 always. Two and two makes our not five. All integers are not positive. 100 is divisible by 2 and 5 both. So, component statements of “100 is divisible by 2 and 5” are true.