Logical Connectivity Difficult Questions and Answers

Logical Connectivity

Direction: Each question consists of a set of numbered statements. Assume that each one of these statements is individually true. Each of the four choices consists of a subset of these statements. Choose the subset as your answer where the statements therein are logically consistent among themselves:

A. If Kumar sings, then the audiences sleep.
B. If Kumar sings, then the audiences dance.
C. Unless audience do not dance, the concert will be successful.
D. Only if the audience dance, the concert will be successful.
D. Only if the audience dance, the concert will be successful.
E. If Vina dances, then Kumar sings.
F. Kumar sings only if Vina dances.
G. Vina dances
H. The concert is successful.

(G) → Vina dances
From (E) → Kumar sings
From (B) → Audience dance
From (C) → Concert will be successful, which is given in H.

Correct Option: C

(G) → Vina dances
From (E) → Kumar sings
From (B) → Audience dance
From (C) → Concert will be successful, which is given in H.

A. Only if the water level in the coastal areas rises, then the people change their lifestyle.
B. People change their lifestyle only if they are rewarded.
C. If people are rewarded, then they will not change their lifestyle.
D. If the temperature rises, then the water level in the coastal areas rises.
E. Whenever the water level in the coastal area rises, then the temperature rises.
F. Unless the people change their lifestyle, temperature rises.
G. People are rewarded.
H. Water level in the coastal areas does not rise.

(H) Water level in the coast area does not rise
From (D) → Temperature will not rise
From (F) → People change their lifestyle
From (B) → People will be rewarded, which is given in G.

Correct Option: B

(H) Water level in the coast area does not rise
From (D) → Temperature will not rise
From (F) → People change their lifestyle
From (B) → People will be rewarded, which is given in G.

Direction: Each question has a main statement followed by four statements labelled A, B, C and D. Choose the ordered pair of statements where the first statement implies the second, and the two statements are logically consistent with the main statement.

If I talk to my professors, then I do not need to take a pill for headache.
A. I talked to my professors.
B. I did not need to take a pill for headache.
C. I needed to take a pill for headache.
D. I did not talk to my professors.

Same as above Ab and CD are logically correct.

Correct Option: D

Same as above Ab and CD are logically correct.

Whenever Rajeev uses the internet, he dreams about spiders.
A. Rajeev did not dream about spiders.
B. Rajeev used the internet.
C. Rajeev dreamt about spiders.
D. Rajeev did not use the internet.

Same as above AD is logically correct

Correct Option: A

Same as above AD is logically correct

Either Ravana is a demon, or he is a hero.
A. Ravana is a hero.
B. Ravana is a demon.
C. Ravana is not a demon.
D. Ravana is not a hero.

It is an example of either a or b type:
CD a → - b that is logically incorrect.
BA a → b that is also logically incorrect.
DB b → a that is also logically correct
CA - a → b that is also logically correct