LR - Logical Connectives - Previous Year CAT/MBA Questions
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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.
- (a)
None of the statements
- (b)
Statement-2 only
- (c)
Statement-1 only
- (d)
Both the statements
Answer: Option D
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Text Explanation :
Consider the solution to first question of this set.
Statement-1: Amla and Sarita never scored goals in the same match - true
Statement-2: Harita and Sarita never scored goals in the same match - true
∴ Both statements are true.
Hence, option (d).
Workspace:
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
- (a)
I only
- (b)
II only
- (c)
III only
- (d)
Either I and III or II and III, but not both.
Answer: Option D
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Text Explanation :
A causes B or C, but not both.
In either case, D occurs.
F can occur only if B occurs, while E can occur only if C occurs. Since only one of B and C can occur, hence only one of F and E can occur.
Hence, option (d).
Workspace:
Which of these may occur as a result of a cause not mentioned?
- (a)
E
- (b)
Both E and F
- (c)
Either B or C
- (d)
J
Answer: Option C
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Text Explanation :
Consider option 1:
E occurs only if C occurs,
∴ E cannot occur because of a cause not mentioned.
Consider option 2:
E occurs only if C occurs and F occurs only if B occurs,
∴ E and F both cannot occur as a result of a cause not mentioned.
Consider option 4:
J occurs only if E or F occurs,
∴ J also cannot occur as a result of a cause not mentioned.
Consider option 3:
It is given that A causes B or C but not both,
∴ Either B or C can occur by a cause not mentioned.
Hence, option (c).
Workspace:
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.
- (a)
AB
- (b)
AD
- (c)
BA
- (d)
DA
Answer: Option B
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Text Explanation :
If Sita is not sick, it follows that she is careless. One of the either/or conditions hold good.
Workspace:
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.
- (a)
AB
- (b)
DC
- (c)
AC
- (d)
CB
Answer: Option D
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Text Explanation :
Ram does not eat hamburgers, so it follows that he does not get a swollen nose. When X, then Y. Not Y, hence not X.
Workspace:
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.
- (a)
BA
- (b)
CB
- (c)
DA
- (d)
BD
Answer: Option B
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Text Explanation :
If the employees have confidence in the management, it follows that they are hostile. The first of the either/or condition is false, so the second one has to be true.
Workspace:
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.
- (a)
CD
- (b)
BD
- (c)
AB
- (d)
None of these
Answer: Option D
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Text Explanation :
None of the given options relates logically to the given statements.
Workspace:
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.
- (a)
AB
- (b)
BA
- (c)
CA
- (d)
All of these
Answer: Option A
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Text Explanation :
As all irresponsible parents do not shout, it follows that the children cavort. When X, then Y. X, hence Y.
Workspace:
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?
- (a)
If P is true, then S is false
- (b)
If S is false, then Q must be true
- (c)
If Q is true, then P must be true
- (d)
If R is true, then Q must be true
Answer: Option A
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Text Explanation :
If P is true, then both Q and R have to be true. For S to be true, either Q or R must be false. Hence, if P is true, S cannot be true.
Workspace:
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.
- (a)
CA
- (b)
BD
- (c)
DB
- (d)
AD
Answer: Option C
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Text Explanation :
As Ram did not lose sleep, it shows that he did not hear of the tragedy. When A, then B. Not B, hence not A.
Workspace:
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.
- (a)
AB
- (b)
DB
- (c)
CA
- (d)
BC
Answer: Option D
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Text Explanation :
The train is not late, so it must have derailed. One of the either ... or condition is true.
Workspace:
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.
- (a)
CB
- (b)
AD
- (c)
BC
- (d)
AC
Answer: Option A
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Text Explanation :
I did not have a nightmare, so I must not have read a horror story. When A, then B. Not B, hence not A.
Workspace:
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.
- (a)
DA
- (b)
BC
- (c)
CB
- (d)
None of these
Answer: Option B
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Text Explanation :
I did not get rashes which shows that I did not eat berries. When A, then B. Not B, hence not A.
Workspace:
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