The contrapositive of the statement "if $2^{2} = 5,$ then $1$ get first class" is

If I do not get a first class, then

2^{2} = 5

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If I do not get a first class, then

2^{2} \neq 5

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If I get a first class, then

2^{2} = 5

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If I get a first class, then

2^{3} = 5

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Solution

The correct option is C If I do not get a first class, then $2^{2} \neq 5$
$P : 2^{2} = 5$
$q : I$ get first class
the contrapositive of $p \to q$ is $\sim q \to\sim p$ . Hence the answer is if $I$ do not get a first class, then $2^{2} \neq 5$
Correct Answer : Option B.

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Similar questions

Q. The statement "If

2^{2} = 5

then I get first class" is logically equivalent to

Q. The statement "If

2^{2} = 5

, then I get first class" is logically equivalent to

In a class A of 25 students, 20 passed in first class; in another class B of 30 students, 24 passed in first class. In which class was a greater fraction of students getting first class?

Q. There are

24

team participating in a mathematics competition from a different school, one team per class. The competition is from

V I I I - X

classes. Find the probability of:
Coming first from each class per school ?
Getting a prize, if there are three prizes per class

I, I I

and

I I I

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The contrapositive of the statement "if 22=5, then 1 get first class" is

The correct option is C If I do not get a first class, then 22≠5P:22=5q:I get first classthe contrapositive of p→q is ∼q→∼p. Hence the answer is if I do not get a first class, then 22≠5Correct Answer : Option B.

The contrapositive of the statement "if $2^{2} = 5,$ then $1$ get first class" is

The correct option is C If I do not get a first class, then $2^{2} \neq 5$
$P : 2^{2} = 5$
$q : I$ get first class
the contrapositive of $p \to q$ is $\sim q \to\sim p$ . Hence the answer is if $I$ do not get a first class, then $2^{2} \neq 5$
Correct Answer : Option B.