Question

Which of the following compound statement is true?

(a) 1 is less than 2 and 3

(b) 43 is prime as well as odd

(c) 0 is positive and negative integer

(d) 16 is divisible by 2 and 3

The question was posed to me in an international level competition.

My question is from Mathematical Reasoning topic in section Mathematical Reasoning of Mathematics – Class 11

Answer 1

Right option is (b) 43 is prime as well as odd

Explanation: The compound statement with ‘And’ can be true if all its component statements are true. If this condition is not satisfied, the compound statement cannot be true.

1 is neither less than 2 nor less than 3 so it is false. 43 is prime number as well as odd so it is true.

0 is neither positive number nor negative number. 16 is not divisible by 3 so it is false.