Logical Connectives — CAT Previous-Year Questions
13 previous-year questions on Logical Connectives from CAT, with full solutions. Practise free — check answers as you go; sign in to save your progress.
Logical Connectives · CAT PYQs
Answer the next 5 questions based on the information given below:
The management of a university hockey team was evaluating performance of four women players - Amla, Bimla, Harita and Sarita for their possible selection in the university team for next year. For this purpose, the management was looking at the number of goals scored by them in the past 8 matches, numbered 1 through 8. The four players together had scored a total of 12 goals in these matches. In the 8 matches, each of them had scored at least one goal. No two players had scored the same total number of goals.
The following facts are known about the goals scored by these four players only. All the questions refer only to the goals scored by these four players.
1. Only one goal was scored in every even numbered match.
2. Harita scored more goals than Bimla.
3. The highest goal scorer scored goals in exactly 3 matches including Match 4 and Match 8.
4. Bimla scored a goal in Match 1 and one each in three other consecutive matches.
5. An equal number of goals were scored in Match 3 and Match 7, which was different from the number of goals scored in either Match 1 or Match 5.
6. The match in which the highest number of goals was scored was unique and it was not Match 5.
Which of the following statement(s) is/are true?
Statement-1: Amla and Sarita never scored goals in the same match.
Statement-2: Harita and Sarita never scored goals in the same match.
Answer the following question based on the information given below.
A causes B or C, but not both.
F occurs only if B occurs.
D occurs if B or C occurs.
E occurs only if C occurs.
J occurs only if E or F occurs.
D causes G or H or both.
H occurs if E occurs.
G occurs if F occurs.
If A occurs, which may occur?
I. F and G
II. E and H
III. D
Answer the following question based on the information given below.
A causes B or C, but not both.
F occurs only if B occurs.
D occurs if B or C occurs.
E occurs only if C occurs.
J occurs only if E or F occurs.
D causes G or H or both.
H occurs if E occurs.
G occurs if F occurs.
Which of these may occur as a result of a cause not mentioned?
Direction: In the question below, the main statement is followed by four sentences. Select the pair of sentences that relates logically to the given statement.
Either Sita is sick or she is careless.
A. Sita is not sick.
B. Sita is not careless.
C. Sita is sick.
D. Sita is careless.
Direction: In the question below, the main statement is followed by four sentences. Select the pair of sentences that relates logically to the given statement.
Ram gets a swollen nose whenever he eats hamburgers.
A. Ram gets a swollen nose.
B. Ram does not eat hamburgers.
C. Ram does not get a swollen nose.
D. Ram eats hamburgers.
Direction: In the question below, the main statement is followed by four sentences. Select the pair of sentences that relates logically to the given statement.
Either the employees have no confidence in the management or they are hostile by nature.
A. They are not hostile by nature.
B. They are hostile by nature.
C. They have confidence in the management.
D. They have no confidence in the management.
Direction: In the question below, the main statement is followed by four sentences. Select the pair of sentences that relates logically to the given statement.
Whenever Ram reads late into the night, his father beats him.
A. His father does not beat Ram.
B. Ram reads late into the night.
C. Ram reads early in the morning.
D. Ram's father beats him in the morning.
Direction: In the question below, the main statement is followed by four sentences. Select the pair of sentences that relates logically to the given statement.
All irresponsible parents shout if their children do not cavort.
A. All irresponsible parents do not shout.
B. Children cavort.
C. Children do not cavort.
D. All irresponsible parents shout.
Direction: Answer the question based on the following information.
The following operations are defined for real numbers.
a # b = a + b, if a and b both are positive else a # b = 1
a ∇ b = (a × b)a + b if a × b is positive else a ∇ b = 1.
P, Q, R and S are four statements. Relation between these statements is as follows.
I. If P is true, then Q must be true.
II. If Q is true, then R must be true.
III. If S is true, then either Q is false or R is false.
Which of the following must be true?
Direction: In each of the following sentences, the main statement is followed by four sentences each. Select a pair of sentences that relate logically to the given statement.
Whenever Ram hears of a tragedy, he loses sleep.
A. Ram heard of a tragedy.
B. Ram did not hear of a tragedy.
C. Ram lost sleep.
D. Ram did not lose sleep.
Direction: In each of the following sentences, the main statement is followed by four sentences each. Select a pair of sentences that relate logically to the given statement.
Either the train is late, or it has derailed.
A. The train is late.
B. The train is not late.
C. The train is derailed.
D. The train is not derailed.
Direction: In each of the following sentences, the main statement is followed by four sentences each. Select a pair of sentences that relate logically to the given statement.
When I read a horror story I have a nightmare.
A. I read a story.
B. I did not read a horror story.
C. I did not have a nightmare.
D. I had a nightmare.
Direction: In each of the following sentences, the main statement is followed by four sentences each. Select a pair of sentences that relate logically to the given statement.
When I eat berries I get rashes.
A. I ate berries.
B. I did not get rashes.
C. I did not eat berries.
D. I got rashes.