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Test Level 2: Logical Consistency - CAT MCQ


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10 Questions MCQ Test - Test Level 2: Logical Consistency

Test Level 2: Logical Consistency for CAT 2024 is part of CAT preparation. The Test Level 2: Logical Consistency questions and answers have been prepared according to the CAT exam syllabus.The Test Level 2: Logical Consistency MCQs are made for CAT 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test Level 2: Logical Consistency below.
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Test Level 2: Logical Consistency - Question 1

Directions: Choose the conclusion that can be safely drawn from the statements given below:
Statements:
1. The scene is lovely if the sky is clear.
2. The sky is never clear if it rains.
3. Whenever it rains, I carry my umbrella with me.

Detailed Solution for Test Level 2: Logical Consistency - Question 1

The concept of logical connectives is used to solve the question.
1. The scene is lovely if the sky is clear.
p q
If p, then q
Conclusions:
(a) p, q ⇒ If the sky is clear, the scene is lovely.
(b) -q, -p ⇒ If the scene is not lovely, the sky is not clear.
2. The sky is never clear if it rains.
p q
If p, then q
Conclusions:
(a) p, q ⇒ If it rains, the sky is never clear.
(b) -q, -p ⇒ If the sky is clear, it will not rain.
3. Whenever it rains, I carry my umbrella with me.
p q
Whenever (if) p, then q
Conclusions:
(a) p, q ⇒ If it rains, I carry my umbrella.
(b) -q, -p ⇒ If I don't carry my umbrella, it doesn't rain.
Only option 3 is a conclusion that can be drawn from the statements, as explained above.

Test Level 2: Logical Consistency - Question 2

Directions: Find out the conclusion that could be safely drawn from the statements given below.
Statements:
1. If Bruno, the dog, goes for walk, Anmol gives it an egg.
2. Whenever Bruno eats an egg, it feels happy.
3. Whenever Bruno is excited, it wags its tail.

Detailed Solution for Test Level 2: Logical Consistency - Question 2

The question will be solved using the concept of logical connectives.
1. If Bruno, the dog, goes for walk, Anmol gives it an egg.
p q
Interpretation of 'if p, then q':
(a) p, q ⇒ If Bruno goes for walk, Anmol gives it an egg.
(b) -q, -p ⇒ If Anmol doesn't give an egg, Bruno doesn't go for walk.
2. Whenever Bruno gets an egg, it feels happy.
p q
Interpretation of 'whenever (if) p, then q':
(a) p, q ⇒ If Bruno gets an egg, it feels happy.
(b) -q, -p ⇒ If Bruno doesn't feel happy, it doesn't get an egg.
3. Whenever Bruno is excited, it wags its tail.
p q
Interpretation of 'whenever (if) p, then q':
(a) p, q ⇒ If Bruno is excited, it wags its tail.
(b) -q, -p ⇒ If Bruno doesn't wag its tail, it is not excited.
All the conclusions that could be drawn from the statements are given above. Only option 2 states one of these conclusions.

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Test Level 2: Logical Consistency - Question 3

Directions: Find out the conclusion that could be safely drawn from the statements given below.
Statements:
1. Unless you study, you will not pass the exam.
2. The exam will not take place if the student count is less than 200.
3. Either the exam will take place or the project work will be evaluated.

Detailed Solution for Test Level 2: Logical Consistency - Question 3

The question will be solved using the concept of logical connectives.
1. Unless you study, you will not pass the exam.
p q
Interpretation of 'unless p, then q':
(a) -p, q ⇒ If you do not study, you will not pass the exam.
(b) -q, p ⇒ You will pass the exam, if you study.
2. The exam will not take place if the student count is less than 200.
q p
Interpretation of 'if p, then q':
(a) p, q ⇒ If the student count is less than 200, the exam will not take place.
(b) -q, -p ⇒ If the exam takes place, the student count is not less than 200.
3. Either the exam will take place or the project will be evaluated.
p q
Interpretation of 'either p or q':
(a) -p, q ⇒ If the exam does not take place, the project will be evaluated.
(b) -q, p ⇒ If the project does not get evaluated, the exam will take place.
(c) p, ?
(d) q, ?
All the conclusions that could be drawn from the statements are given above. Only option 4 contains one of these conclusions.

Test Level 2: Logical Consistency - Question 4

Directions: Find out the conclusion that could be safely drawn from the statements given below.
Statements:
1. Unless you meditate, you will not recover.
2. If you feel well, you will perform well.
3. Whenever the work is tough, you need high levels of concentration.

Detailed Solution for Test Level 2: Logical Consistency - Question 4

The question will be solved using the concept of logical connectives.
1. Unless you meditate, you will not recover.
p q
Interpretation of 'unless p, then q':
(a) -p, q ⇒ If you don't meditate, you will not recover.
(b) -q, p ⇒ You recover, if you meditate.
2. If you feel well, you will perform well.
p q
Interpretation of 'if p, then q':
(a) p, q ⇒ If you feel well, you will perform well.
(b) -q, -p ⇒ If you do not perform well, you will not feel well.
3. Whenever the work is tough, you need high levels of concentration.
p q
Interpretation of 'whenever p, then q':
(a) p, q ⇒ If the work is tough, you need high levels of concentration.
(b) -q, -p ⇒ You don't need high levels of concentration, if the work is not tough.
All the conclusions that could be drawn from the given statements are mentioned above. Among the given answer choices, it is only conclusion 1 that follows.

Test Level 2: Logical Consistency - Question 5

Directions: The question has a main statement followed by four statements labeled (A), (B), (C) and (D). Choose the ordered pair of statements where the first statement implies the second and the two statements together are logically consistent with the main statement.
When it is night, it is dark and also cloudy.
A. It is neither dark nor cloudy.
B. It is not night.
C. It is a dark and clear sky.
D. It is night.

Detailed Solution for Test Level 2: Logical Consistency - Question 5

To be called a night it has to be both dark and cloudy. If either condition is not met, it cannot be night. Clear sky means 'not cloudy.' It can`t be night because one condition (cloudy) is not met.

Test Level 2: Logical Consistency - Question 6

Directions: The question has a set of four statements. Each statement has three segments. Choose the alternative where the third segment in the statement can be logically deduced using both the preceding two, but not just from one of them.
A. No computer crashes. Some that crash are stocks. Some stocks are not computers.
B. All colors are bright. Some colors do not glow. Some that glow are not bright.
C. Footballers indulge in kicking. Those who kick are dismissed. Some who are dismissed are not footballers.
D. Some funny people are painters. All funny people are singers. Some singers are painters.

Detailed Solution for Test Level 2: Logical Consistency - Question 6

A is correct. Since no computers crash, and since some stocks crash, these latter stocks can't be computers.
B is incorrect. Since ALL colors are bright, no colors (glow or non-glow) can be other than bright.
C is incorrect. Since footballers that kick are dismissed, those dismissed will include footballers. We don't know whether 'some dismissed' are footballers or not.
D is correct. All those who are funny are singers. Some of the funny people are painters. This clearly implies that some singers must be painters.

Test Level 2: Logical Consistency - Question 7

Directions: The question has a set of six statements (A to F) given below, followed by some sets of combinations. Choose the set in which the statements are logically related.
A. Man knows that he is mortal.
B. Death is inevitable.
C. Death is almighty.
D. Death is man's ultimate destiny.
E. Death is also fearful.
F. We fear death though everybody has to die.

Detailed Solution for Test Level 2: Logical Consistency - Question 7

Option (3) BEF
B → Death is inevitable
E → Death is also fearful
These two when read together lead to logical conclusion that death is both fearful and inevitable. Statement F conforms to the given idea though in a different way 'All fear death though everybody has to die,' therefore option (3) is the correct answer.

Test Level 2: Logical Consistency - Question 8

Directions: The question has a set of four statements. Each statement has three segments. Choose the alternative where the third segment in the statement can be logically deduced using both the preceding two, but not just from one of them.
A. Computers are electronic devices. Buckets are not computers. Buckets are not electronic devices.
B. All sportsmen are cheats. No cheat is a diver. No divers are sportsmen.
C. No politician is honest. No liar is honest. Politicians are liars.
D. All fish like water. Some frogs like water. Some frogs are fish.

Detailed Solution for Test Level 2: Logical Consistency - Question 8

All sportsmen are part of the cheat circle. Cheats are divers form separate circles. Therefore, sportsmen cannot be part of the diver circle.

Test Level 2: Logical Consistency - Question 9

Directions: The question has a set of four statements. Each statement has three segments. Choose the alternative where the third segment in the statement can be logically deduced using both the preceding two, but not just from one of them.
A. All donations are tax exempt. Some investments are tax exempt. Some donations are investments.
B. All toys are games. Some marbles are toys. Some marbles are games.
C. All Europeans are Parisians. All French are Parisians. Some French are Europeans.
D. No waterfall is a cascade. Niagara is not a cascade. Niagara is a waterfall.

Detailed Solution for Test Level 2: Logical Consistency - Question 9

Marbles and toy circles intersect. Toys are part of the games circle. Therefore, marbles and games circles must also intersect.

Test Level 2: Logical Consistency - Question 10

Directions: Find out the conclusion that could be safely drawn from the statements given below.
Statements:
1. All the organised persons find time to rest.
2. Sunita, in spite of her very busy schedule, finds time to rest.
3. Rest is very important in today's busy schedules.

Detailed Solution for Test Level 2: Logical Consistency - Question 10

Among the given conclusions, only 1 follows logically. It is stated that the organised people find time to rest and Sunita, in spite of being busy, is able to take time out to rest. This shows that Sunita is an organised person. So, option 1 is the correct answer.

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