Question

Which of the following statement is true?

(a) 25 is divisible by 2 and 3

(b) 12 is a positive and prime number

(c) 13 is a positive and odd number

(d) 49 is a square and a cube

The question was asked in semester exam.

Question is from Mathematical Reasoning in chapter Mathematical Reasoning of Mathematics – Class 11

Answer 1

Right option is (c) 13 is a positive and odd number

Explanation: For a statement with ‘and’, if both statements are true then the given statement will be true.

In statement “25 is divisible by 2 and 3”, 25 is divisible by 2 is true but 25 is divisible by 3 is false so it is false statement.

In statement “12 is a positive and prime number”, 12 is a positive number is true but 12 is a prime number is false so it is a false statement.

In statement “13 is a positive and odd number”, both statements i.e. 13 is a positive number and 13 is an odd number are true so it is a true statement.

In statement “49 is a square and a cube”, 49 is a square is true but 49 is a cube is false so it is a false statement.