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Test: Logical Deductions - 1 - CAT MCQ


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10 Questions MCQ Test Logical Reasoning (LR) and Data Interpretation (DI) - Test: Logical Deductions - 1

Test: Logical Deductions - 1 for CAT 2024 is part of Logical Reasoning (LR) and Data Interpretation (DI) preparation. The Test: Logical Deductions - 1 questions and answers have been prepared according to the CAT exam syllabus.The Test: Logical Deductions - 1 MCQs are made for CAT 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Logical Deductions - 1 below.
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Test: Logical Deductions - 1 - Question 1

Direction: In the question below are given two statements followed by two conclusions numbered I and II. You have to take the given two statements to be true even if they seem to be at variance from commonly known facts. Read the conclusion and then decide which of the given conclusions logically follows from the two given statements, disregarding commonly known facts.

Statements: No women teacher can play. Some women teachers are athletes.
Conclusions:
I. 
Male athletes can play.
II. Some athletes can play.

Detailed Solution for Test: Logical Deductions - 1 - Question 1

Test: Logical Deductions - 1 - Question 2

Direction: In the question below are given two statements followed by two conclusions numbered I and II. You have to take the given two statements to be true even if they seem to be at variance from commonly known facts. Read the conclusion and then decide which of the given conclusions logically follows from the two given statements, disregarding commonly known facts.

Statements: All mangoes are golden in colour. No golden-coloured things are cheap.

Conclusions:
I. All mangoes are cheap.
II. Golden-coloured mangoes are not cheap.

Detailed Solution for Test: Logical Deductions - 1 - Question 2

Clearly, the conclusion must be universal negative and should not contain the middle term. So, it follows that 'No mango is cheap'. Since all mangoes are golden in colour, we may substitute 'mangoes' with 'golden-coloured mangoes'. Thus, II follows.

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Test: Logical Deductions - 1 - Question 3

Direction: In the question below are given two statements followed by two conclusions numbered I and II. You have to take the given two statements to be true even if they seem to be at variance from commonly known facts. Read the conclusion and then decide which of the given conclusions logically follows from the two given statements, disregarding commonly known facts.

Statements: Some doctors are fools. Some fools are rich.
Conclusions:
I. 
Some doctors are rich
II. Some rich are doctors.

Detailed Solution for Test: Logical Deductions - 1 - Question 3

Since both the premises are particular, no definite conclusion follows.

Test: Logical Deductions - 1 - Question 4

Direction: In the question below are given two statements followed by two conclusions numbered I and II. You have to take the given two statements to be true even if they seem to be at variance from commonly known facts. Read the conclusion and then decide which of the given conclusions logically follows from the two given statements, disregarding commonly known facts.

Statements: All roads are waters. Some waters are boats.

Conclusions:
I. 
Some boats are roads.
II. All waters are boats.

Detailed Solution for Test: Logical Deductions - 1 - Question 4

The first premise is A type and distributes the subject. So, the middle term 'waters' which forms its predicate, is not distributed. The second premise is I type and does not distribute either subject or predicate. So, the middle term 'waters' forming its subject is not distributed. Since the middle term is not distributed even once in the premises, no definite conclusion follows.

Test: Logical Deductions - 1 - Question 5

Direction: In the question below are given two statements followed by two conclusions numbered I and II. You have to take the given two statements to be true even if they seem to be at variance from commonly known facts. Read the conclusion and then decide which of the given conclusions logically follows from the two given statements, disregarding commonly known facts.

Statements: All flowers are trees. No fruit is tree.

Conclusions:
I. 
No fruit is flower.
II. Some trees are flowers.

Detailed Solution for Test: Logical Deductions - 1 - Question 5

As discussed above, the conclusion must be universal negative and should not contain the middle term. So, it follows that 'No flower is fruit'. I is the converse of this conclusion and thus it follows. II is the converse of the first premise and so it also holds.

Test: Logical Deductions - 1 - Question 6

Direction: In the question below are given two statements followed by two conclusions numbered I and II. You have to take the given two statements to be true even if they seem to be at variance from commonly known facts. Read the conclusion and then decide which of the given conclusions logically follows from the two given statements, disregarding commonly known facts.

Statements: Every minister is a student. Every student is inexperienced.

Conclusions:
I. 
Every minister is inexperienced.
II. Some inexperienced are students.

Detailed Solution for Test: Logical Deductions - 1 - Question 6

'Every' is equivalent to 'All'. Thus, since both the premises are universal and affirmative, the conclusion must be universal affirmative and should not contain the middle term. So, I follows. II is the converse of the second premise and thus it also holds.

Test: Logical Deductions - 1 - Question 7

Direction: In the question below are given two statements followed by two conclusions numbered I and II. You have to take the given two statements to be true even if they seem to be at variance from commonly known facts. Read the conclusion and then decide which of the given conclusions logically follows from the two given statements, disregarding commonly known facts.

Statements: All fish are tortoise. No tortoise is a crocodile.

Conclusions:
I. 
No crocodile is a fish.
II. No fish is a crocodile.

Detailed Solution for Test: Logical Deductions - 1 - Question 7

Since both the premises are universal and one premise is negative, the conclusion must be universal negative. Also, the conclusion should not contain the middle term. So, II follows; I is the converse of II and thus it also holds.

Test: Logical Deductions - 1 - Question 8

Direction: In the question below are given two statements followed by two conclusions numbered I and II. You have to take the given two statements to be true even if they seem to be at variance from commonly known facts. Read the conclusion and then decide which of the given conclusions logically follows from the two given statements, disregarding commonly known facts.

Statements: No gentleman is poor. All gentlemen are rich.

Conclusions:
I. 
No poor man is rich.
II. No rich man is poor.

Detailed Solution for Test: Logical Deductions - 1 - Question 8

The correct answer is 4. Neither I nor II follows.

Explanation: From the first statement "No gentleman is poor", it can be inferred that all gentlemen are not poor. From the second statement "All gentlemen are rich", it can be inferred that all gentlemen are rich. However, these statements do not provide any direct information about the poor or the rich men.

Conclusion I: "No poor man is rich". This cannot be logically inferred from the given statements. It could be that some poor men are not gentlemen and are rich.

Conclusion II: "No rich man is poor". This also cannot be logically inferred from the given statements. It could be that some rich men are not gentlemen and are poor.

Therefore, neither conclusion I nor II follows the given statements.

Test: Logical Deductions - 1 - Question 9

Direction: In the question below are given two statements followed by two conclusions numbered I and II. You have to take the given two statements to be true even if they seem to be at variance from commonly known facts. Read the conclusion and then decide which of the given conclusions logically follows from the two given statements, disregarding commonly known facts.

Statements: Some swords are sharp. All swords are rusty

Conclusions: 
I. Some rusty things are sharp.
II. Some rusty things are not sharp.

Detailed Solution for Test: Logical Deductions - 1 - Question 9

Since one premise is particular, the conclusion must be particular and should not contain the middle term. So, I follows. Since both the premises are affirmative, the conclusion cannot be negative. Thus, II does not follow.

Test: Logical Deductions - 1 - Question 10

Direction: In the question below are given two statements followed by two conclusions numbered I and II. You have to take the given two statements to be true even if they seem to be at variance from commonly known facts. Read the conclusion and then decide which of the given conclusions logically follows from the two given statements, disregarding commonly known facts.

Statements: All fishes are grey in colour. Some fishes are heavy.

Conclusions:
I. All heavy fishes are grey in colour.
II. All light fishes are not grey in colour.

Detailed Solution for Test: Logical Deductions - 1 - Question 10

Since one premise is particular, the conclusion must be particular and should not contain the middle term. So, it follows that 'Some heavy things are grey in colour'. I is a cumulative result of this conclusion and the first premise. Thus, only I holds.

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