Q. 27

# The contrapositive of the statement

“If 7 is greater than 5, then 8 is greater than 6” is

A. If 8 is greater than 6, then 7 is greater than 5.

B. If 8 is not greater than 6, then 7 is greater than 5.

C. If 8 is not greater than 6, then 7 is not greater than 5.

D. If 8 is greater than 6, then 7 is not greater than 5.

Answer :

In the contrapositive, a conditional statement is logically equivalent to its contrapositive.

Since,

p: 7 is greater than 5

~p: 7 is not greater than 5

q: 8 is greater than 6

~q: 8 is not greater than 6

Therefore,

~p→ ~q = If 8 is not greater than 6, then 7 is not greater than 5.

Rate this question :

Rewrite the following statement in five different ways conveying the same meaning.

If a given number is a multiple of 6, then it is a multiple of 3.

RS Aggarwal - Mathematics

Which of the following statement is a conjunction ?

Mathematics - ExemplarProve by direct method that for any integer ‘n’, n^{3} – n is always even.

The contrapositive of the statement

“If p, then q”, is

Mathematics - ExemplarThe negation of the statement

“Rajesh or Rajni lived in Bangalore” is

Mathematics - ExemplarThe negation of the statement

“72 is divisible by 2 and 3” is

Mathematics - ExemplarThe negation of the statement “The product of 3 and 4 is 9” is

Mathematics - ExemplarThe statement

“If x^{2} is not even, then x is not even” is converse of the statement