Level 1 Logical Reasoning

If the statement "If Ali studies hard, then Ali will get excellent results" is true, what happens if Ali gets excellent results?

• Ali must have studied hard

• Ali did not study hard

• It cannot be determined if Ali studied hard

• Ali did not get excellent results

Which of the following is the contrapositive of the statement:
"If it rains, then the road will be wet"?

• If the road is not wet, then it did not rain

• If the road is wet, then it rained

• If it does not rain, then the road will not be wet

• If the road is wet, then it did not rain

If the statement "All students wear white shirts" is true, what is the logical conclusion?

• All students do not wear white shirts

• Some students do not wear white shirts

• No student wears a white shirt

• Every student wears a white shirt

Select the compound statement that is true.

• "2 is a prime number OR 4 is a prime number."

• "2 is an even number AND 3 is an even number."

• "5 is an odd number OR 6 is an odd number."

• "7 is an even number AND 8 is an odd number."

Which of the following is a universal statement?

• Some students like Mathematics

• All teachers attend the meeting

• Most students are good at drawing

• Some students enjoy sports

If p: Today is hot and q: I go to the beach, which logical statement is false?

• If today is hot, then I go to the beach

• If I go to the beach, then today is hot

• Today is hot AND I go to the beach

• I go to the beach OR today is hot

What is the truth value of the statement:

"4 is an even number AND 9 is an even number"?

• True

• False

• Sometimes true

• none

What is the inverse of the statement:

"If you read books, then you will become smart"?

• If you do not read books, then you will not become smart

• If you become smart, then you read books

• If you read books, then you will not become smart

• If you do not read books, then you will become smart

Select the existential statement that is true:

• All students like Mathematics

• No student attended the class

• Some students excel in History

• All students failed the test

Which of the following is a statement that can be determined as true or false?

• Today is the happiest day

• Kuala Lumpur is the capital city of Malaysia

• Blue is the most beautiful color

• Everyone loves eating cake