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Syllogism, Venn diagrams and analytical reasoning MCQ - Practice Questions with Answers

Solve 10 Syllogism, Venn diagrams and analytical reasoning questions for RAS/RPSC preparation.

Practice questions

Q1Assertion (A): From "Some pens are pencils" and "Some pencils are tools", it necessarily follows that some pens are tools. Reason (R): The two "some" portions may refer to different pencils. Choose the correct answer.

A Both the assertion and the reason are true, and the reason correctly explains the assertion.
B Both the assertion and the reason are true, but the reason does not explain the assertion.
C The assertion is false, but the reason is true.
D The assertion is true, but the reason is false.
Explanation

This is given as a common trap. From some pens are pencils and some pencils are tools, the two "some" groups need not be the same pencils. The pencils that overlap with pens may be separate from the pencils that overlap with tools. Therefore, some pens are tools is not a necessary conclusion. The reason correctly states the missing link, so the assertion is false while the reason is true.

Q2Match List I with List II. List I: 1. No A is B 2. Some A are B 3. Some A are not B 4. All A are B List II: a. At least one A lies outside B b. A and B have no common member c. At least one A is also B d. Every A lies inside B Choose the correct matching.

A 1-a, 2-b, 3-c, 4-d
B 1-c, 2-d, 3-a, 4-b
C 1-b, 2-c, 3-a, 4-d
D 1-d, 2-a, 3-b, 4-c
Explanation

The four standard forms have fixed meanings. "No A is B" means A and B have no common member. "Some A are B" means at least one common member. "Some A are not B" means at least one A lies outside B. "All A are B" means every A lies inside B. Matching these meanings gives 1-b, 2-c, 3-a and 4-d.

Q3Which pair is a valid either-or pair in syllogism?

A Some files are records / Some files are not records
B Some files are records / All files are records
C No file is a record / Some files are not records
D All files are records / Some files are not records
Explanation

An either-or conclusion is valid only when the two conclusions are complementary: one must be true, and they cannot both be false. The pair all files are records and some files are not records exhausts the relation of files to records. If all files are records is false, at least some files are not records must be true. The other pairs either can both be true or do not cover all possibilities in this strict complementary way.

Q4Statements: All A are B. Some B are C. Which conclusion necessarily follows?

A Some A are C
B All C are A
C No A is C
D No definite conclusion about A and C follows
Explanation

The Venn rule is to draw only the minimum information and accept a conclusion only if it is true in every possible diagram. 'All A are B' puts A inside B. 'Some B are C' creates an overlap between B and C, but that overlap may or may not include A. Therefore, 'some A are C' is not certain, 'no A is C' is not certain, and no placement of C inside A is given. The only defensible judgement is that no definite A-C conclusion follows.

Q5Match List I with List II according to the analytical reasoning guidance. List I: 1. Direction sense 2. Ranking 3. Blood relation 4. Distribution List II: a. Keep north fixed at the top and draw each movement in order b. Use greater-than signs to show order c. Mark generation and gender separately d. Use a table with persons and attributes Which matching is correct?

A 1-b, 2-a, 3-c, 4-d
B 1-a, 2-b, 3-c, 4-d
C 1-a, 2-d, 3-b, 4-c
D 1-d, 2-c, 3-a, 4-b
Explanation

There are practical notation for each analytical reasoning type. In direction sense, north should be kept fixed at the top and each movement drawn in order. In ranking, greater-than signs can show who is above or ahead. In blood relations, generation and gender must be shown separately. In distribution questions, a table with persons and attributes such as subjects, cities or days is the simplest tool. This gives the matching: direction sense with fixed north, ranking with greater-than signs, blood relation with generation and gender, and distribution with a table.

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More questions

6At a district help desk queue, Meena is 7th from the left and 9th from the right. Using the CET method given how many persons are in the queue?

A15
B14
C16
D17

7Statement: No A is B. Consider the following conclusions: Statement 1: Some A can be B. Statement 2: No B is A. Which of these is valid?

AOnly Statement 1 is valid
BBoth Statement 1 and Statement 2 are valid
COnly Statement 2 is valid
DNeither Statement 1 nor Statement 2 is valid

8Assertion (A): In analytical reasoning, definite information should be fixed before marking possibilities. Reason (R): Options are often designed to pull attention towards partial matches, so every condition must be tested. Choose the correct answer.

ABoth A and R are true, and R explains A
BBoth A and R are true, but R does not explain A
CA is true, but R is false
DA is false, but R is true

9Statements: All files are records. Some records are registers. Conclusion: All records are files. According to the syllogism rules which judgement is correct?

AThe conclusion follows because all records must lie inside files.
BThe conclusion does not follow because a universal affirmative cannot be reversed in the same form.
CThe conclusion follows only if some registers are files.
DThe conclusion follows because the word 'some' always means most records.

10Statements: All clerks are employees. Conclusions: 1. Some employees are clerks. 2. All employees are clerks. Which conclusion follows from the statement?

AOnly conclusion 2 follows
BOnly conclusion 1 follows
CBoth conclusions 1 and 2 follow
DNeither conclusion 1 nor 2 follows

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