Statement Conclusion

Statement Conclusion

🟢 Lite — Quick Review (1h–1d)

Rapid summary for last-minute revision before your exam.

Statement Conclusion questions test your logical reasoning ability. You’re given a statement (or statements) followed by conclusions. You must determine which conclusions logically follow from the given statement(s). This is a critical section in SSC CGL Tier 1 and Tier 2.

Key Principle: A conclusion should be based ONLY on the information given in the statement. Do not assume or bring in external knowledge.

Types of Conclusions:

1. Definite Conclusions: Must be true based on the statement
2. Possible Conclusions: Could be true but aren’t necessarily true
3. Invalid Conclusions: Contradict the statement or can’t be derived

⚡ SSC CGL Exam Tips:

• Never assume additional information
• “Could be true” means it may or may not be true
• If statement says “All cats are animals,” then “Some animals are cats” DEFINITELY follows
• If statement says “Some cats are black,” then “All cats are black” DOES NOT follow
• A conclusion with “only” or “none” is harder to establish — usually doesn’t follow

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🟡 Standard — Regular Study (2d–2mo)

Standard content for students with a few days to months.

Understanding Statement-Conclusion Logic

Basic Syllogism Rules:

When we say “All A are B”:

• Some A are B (✓ follows)
• Some B are A (✓ follows)
• No A is B (✗ doesn’t follow)
• All B are A (✗ doesn’t follow)

When we say “No A is B”:

• No B is A (✓ follows)
• Some A are not B (✓ follows)
• All A are B (✗ doesn’t follow)

When we say “Some A are B”:

• Some B are A (✓ follows)
• All A are B (✗ doesn’t follow)
• No A is B (✗ doesn’t follow)
• Some A are not B (✗ doesn’t follow - could be either way)

Worked Example 1: Statement: All teachers are educated. Some educated people are doctors. Conclusions: I. Some doctors are teachers II. Some educated people are not teachers

Analysis:

• “All teachers are educated” means teachers ⊆ educated (teachers form a subset of the educated; it does NOT say only teachers are educated).
• “Some educated people are doctors” means educated ∩ doctors ≠ ∅.
• Conclusion I: “Some doctors are teachers” — Not definite. The educated people who are doctors could be entirely outside the teachers subset, so doctors and teachers may be completely disjoint. ✗
• Conclusion II: “Some educated people are not teachers” — Not definite either. It is possible that every educated person is a teacher (educated = teachers), in which case no educated person is a non-teacher. Since the statements never force educated people beyond the teachers, this cannot be guaranteed. ✗

Neither conclusion definitely follows. Both are merely possible.

Worked Example 2: Statement: No singer is a dancer. Some dancers are actors. Conclusions: I. No singer is an actor II. Some actors are dancers

Analysis:

• “No singer is dancer” → singer ∩ dancer = ∅
• “Some dancers are actors” → dancer ∩ actors ≠ ∅
• Conclusion I: “No singer is actor” — Cannot be established. Singers and actors are never linked, so they could still overlap. ✗
• Conclusion II: “Some actors are dancers” — This simply restates the second premise (overlap is symmetric). ✓

Venn Diagram Approach:

For complex statements, draw Venn diagrams:

1. Draw circles for each category
2. Shade/mark areas based on statements
3. Check which conclusions are definitely true

Example with Venn: Statement: All roses are flowers. Some flowers are red. Conclusions: I. All roses are red II. Some roses are red

Venn:

• Roses ⊂ Flowers
• Some Flowers ∩ Red ≠ ∅ I: “All roses are red” — Does not follow. Roses being a subset of flowers, plus some flowers being red, gives no guarantee that every rose is among the red flowers. ✗ II: “Some roses are red” — Does not follow either. The red flowers might include no roses at all. ✗

Both conclusions fail to follow.

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🔴 Extended — Deep Study (3mo+)

Comprehensive coverage with complex syllogisms and previous year SSC CGL patterns.

Advanced Syllogism Patterns:

Pattern 1: Three-Term Syllogism Statement: All A are B. All B are C. Conclusions:

• All A are C (✓)
• Some A are C (✓)
• Some B are A (✓)

Pattern 2: Contradictory Statements Statement: All politicians are liars. No liars are honest. Conclusions:

• No politician is honest (✓)
• Some politicians are not honest (✓)

Pattern 3: Possibility Cases When a conclusion uses “could be” or “might be,” it may be valid even if not definite.

Statement: Some books are pens. All pens are expensive. Conclusions: I. All books are expensive (✗ doesn’t follow) II. Some books could be expensive (✓ could follow)

Pattern 4: Either-Or Cases When neither conclusion can be definitively proven but one must be true:

Statement: Some A are B. Some A are not B. Conclusions: I. All A are B II. Some A are not B

Here, II is given directly, and I cannot be proven. In exam questions with a genuine either-or pair, only one of the two complementary conclusions can be marked; otherwise the standard answer is that neither I nor II follows.

Previous Year SSC CGL Patterns:

SSC CGL 2022: Statement: All doctors are professionals. No professionals are unemployed. Conclusions: I. No doctor is unemployed II. Some doctors are unemployed

Analysis:

• All doctors ⊆ professionals
• professionals ∩ unemployed = ∅
• Therefore doctors ∩ unemployed = ∅ (since doctors are a subset of professionals, and professionals never intersect the unemployed) I follows ✓ II doesn’t follow ✗

SSC CGL 2022: Statement: Some teachers are researchers. Some researchers are scientists. Conclusions: I. Some teachers are scientists II. All teachers are researchers

Analysis:

• teachers ∩ researchers ≠ ∅ (overlap)
• researchers ∩ scientists ≠ ∅ (overlap)
• Teachers and scientists could be completely disjoint sets I: Not definite ✗ II: Not given, and does not follow ✗

SSC CGL 2023: Statement: Every actor is a star. Some stars are directors. Conclusions: I. Every director is a star II. Some actors are directors

Analysis:

• Actors ⊆ stars
• stars ∩ directors ≠ ∅ I: Doesn’t follow — “Some stars are directors” does not mean ALL directors are stars ✗ II: Actors and directors could be completely separate ✗

SSC CGL 2023: Statement: All fruits are healthy. No unhealthy thing is tasty. Conclusions: I. No fruit is tasty II. Some fruits are not tasty

Analysis:

• Fruits ⊆ healthy
• “No unhealthy thing is tasty” means tasty ⊆ healthy (every tasty thing is healthy)
• Both fruits and tasty things lie inside the healthy circle, so they MAY overlap; nothing forces them apart I: “No fruit is tasty” — Does not follow, because a fruit (being healthy) is free to also be tasty ✗ II: “Some fruits are not tasty” — Does not follow either, since it is possible that every fruit is tasty ✗

This pattern is a classic trap: a shared “healthy” superset does not create a disjunction. Always test whether the statements force separation before marking a negative conclusion.

Complement Sets: “If all A are B, then no A is non-B” “If some A are B, then some A are not non-B” (trivially true)

Negation Cases:

• “All A are B” negates to “Some A are not B”
• “No A is B” negates to “Some A are B”
• “Some A are B” negates to “No A is B” or “Some A are not B”
• “Some A are not B” negates to “All A are B”

Exclusive Logic: “All A are B” ≠ “Only A are B” “All A are B” means A ⊆ B “Only A are B” means B ⊆ A (only A can be B)

Tips for Complex Statements:

1. Always check if a conclusion is definitely true, not just possibly true
2. “Could be” conclusions require possibility, not certainty
3. Look for contrapositive relationships
4. When multiple conclusions are given, each is evaluated independently

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