MyQuestionIcon

1

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

Implication

Negation of t...

Question

Negation of the compound proposition : If I study hard, then I will pass.

A

I will study hard and I will pass.

No worries! We‘ve got your back. Try BYJU‘S free classes today!

B

I will study hard and I will not pass.

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

C

I will study hard or I shall pass.

No worries! We‘ve got your back. Try BYJU‘S free classes today!

D

I will study hard or I shall not pass.

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B I will study hard and I will not pass.
Let $p$ : I study hard.
$q$ : I will pass.

We know that, $\sim (p \Rightarrow q) = p \land \sim q$
So we have negation of the compound proposition as "I will study hard and I will not pass."

Suggest Corrections

thumbs-up

0

Similar questions

Negation of the compound statement ‘if the examination is difficult, then I shall pass if I study hard’ is ___.

Q. Complete the sentence with the most suitable option:
A: You studied hard. Did you pass the test?
B: No, __________ I studied hard, I didn't pass the test.

Fill in the blank with the appropriate form of the verb:

If I study hard, I _______ the exam.

Q. Fill in the blank with the most suitable verb:
Maria isn't studying hard but I ________.

Q. Identify the conjunction in the following sentence:

You must study hard or you will fail the exam.

View More

Join BYJU'S Learning Program

explore_more_icon

Explore more

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon