Mark the correct answer in each of the following-The contrapositive of the statement -If 7 is greater than 5 - then 8 is greater than 6 - isa It 8 is greater than 6 - then 7 is greater thanb If 8 is not greater than 6 - then 7 is greater than 5c If 8 is not greater than 6 - then 7 is not greater than 5d If 8 is greater than 6 - then 7 is not greater than 5

For given statement; nbsp; p: If 7 is greater than 5, then nbsp; q 8 is greater than 6 i.e. p nbsp; rArr; q nbsp;is given. nbsp; contrapositive form ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Mathematics

Complement

Mark the corr...

Question

Mark the correct answer in each of the following:
The contrapositive of the statement "If 7 is greater than 5, then 8 is greater than 6", is
(a) It 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

Open in App

Solution

For given statement;
p: If 7 is greater than 5, then
q 8 is greater than 6
i.e. p ⇒ q is given.
contrapositive form is ~q ⇒ ~p
i.e. If 8 is not greater than 6, then 7 is not greater than 5.

Hence, the correct answer is option C.

Suggest Corrections

Similar questions

Q. Mark the correct answer in each of the following:
The negation of the statement "7 is greater than 8", is
(a) 7 is equal to 8
(b) 7 is not greater than 8
(c) 8 is less than 7
(d) none of these

Two statements p and q are given below.

p: 7 is not greater than 4
q: Paris is in France

Then the statement $\sim (p \lor q) i s$

Q. A number is greater than

3

but less than

8.

Also, it is greater than

6

but less than

10.

Then the number is?

Q. If 8:2 is greater than 5:

a

, then the value of a is greater than _____.

Q. A number is greater than 3 but less than 8 Also it is greater than 6 but less than 10 The number is

Join BYJU'S Learning Program

For given statement; p: If 7 is greater than 5, then q 8 is greater than 6 i.e. p ⇒ q is given. contrapositive form is ~q ⇒ ~p i.e. If 8 is not greater than 6, then 7 is not greater than 5. Hence, the correct answer is option C.

For given statement;
p: If 7 is greater than 5, then
q 8 is greater than 6
i.e. p ⇒ q is given.
contrapositive form is ~q ⇒ ~p
i.e. If 8 is not greater than 6, then 7 is not greater than 5.

Hence, the correct answer is option C.