Mental Reasoning 9 -Statement and Conclusion  : Questions and Step-by-Step Solutions for Competitive Exams SSC, BSSC, Bank, Railways

Mental Reasoning 9 –Statement and Conclusion  : Questions and Step-by-Step Solutions for Competitive Exams SSC, BSSC, Bank, Railways

Statement and Conclusion – Complete Explanation (Mental Reasoning)

What is a Statement and Conclusion Question?

Concept (English):
You are given one or more statements (facts, assumptions, or general truths) and some conclusions. You must decide which conclusion logically follows from the statement(s), not what you personally think.

हिन्दी में:
इस प्रकार के प्रश्नों में एक या अधिक वाक्य (Statement) दिए होते हैं, जिनसे कुछ निष्कर्ष (Conclusion) निकालने होते हैं।
आपको यह तय करना होता है कि कौन-सा निष्कर्ष तार्किक रूप से सही निकलता है — कि आपकी राय या अनुभव के अनुसार।

Example

Statement:
All dogs are animals.
All animals are living beings.

Conclusions:

  1. All dogs are living beings.
  2. All living beings are dogs.

Answer:
Conclusion (1) follows ✅
Conclusion (2) does not follow ❌

Explanation:
If all dogs ⊂ animals and all animals ⊂ living beings →
All dogs ⊂ living beings.

How to Judge Whether a Conclusion Follows

Guidelines (English):

SymbolMeaning
Follows logically
Does not follow logically
Either–OrOne of the two conclusions follows (not both)
BothBoth conclusions follow
  1. Accept the given statements as absolutely true.
  2. Ignore real-world knowledge or assumptions.
  3. Check whether the conclusion definitely follows the statements logically.

हिन्दी में:

  1. दिए गए कथनों को सत्य मानें, चाहे वे वास्तविकता में सही हों या नहीं।
  2. सामान्य ज्ञान का प्रयोग न करें।
  3. निष्कर्ष तभी सही है जब वह स्पष्ट रूप से कथन से निकलता है।

Common Key Words in Statements

WordMeaningExample
All100% inclusionAll A are B
SomeAt least oneSome A are B
No0% relationNo A is B
Some notPartial exclusionSome A are not B

Venn Diagram Approach (Highly Useful for SSC, Banking)

Visualize relationships through Venn Diagrams:

StatementDiagramExplanation
All A are BA is within B
Some A are BA & B overlap partly
No A is BNo common part
Some A are not BPart of A not in B

Main Types of Questions (All Covered for Maximum Syllabus)

TypeDescriptionExample
1Universal Positive (All)All A are B
2Universal Negative (No)No A is B
3Particular Positive (Some)Some A are B
4Particular Negative (Some not)Some A are not B
5Mixed StatementsCombination of above
6Either–Or TypeAmbiguous opposite conclusions
7Coded Statement–ConclusionSymbols or code for logical terms
8Double / Multi-statement reasoningMultiple layers of logic
9Assumption-based conclusionWhat is implied but not stated
10Analytical conclusionBased on data or reasoning pattern

Standard Rules (Very Important for Exam)

CaseRuleHindi Explanation
1. All + All → AllIf All A are B & All B are C ⇒ All A are Cसभी A, B हैं और सभी B, C हैं → सभी A, C हैं
2. All + Some → SomeIf All A are B & Some B are C ⇒ Some A are Cसभी A, B हैं और कुछ B, C हैं → कुछ A, C हैं
3. Some + All → SomeIf Some A are B & All B are C ⇒ Some A are Cकुछ A, B हैं और सभी B, C हैं → कुछ A, C हैं
4. No + All → NoIf No A is B & All B are C ⇒ No A is Cकोई A, B नहीं है और सभी B, C हैं → कोई A, C नहीं है
5. Some + No → Some notIf Some A are B & No B is C ⇒ Some A are not Cकुछ A, B हैं और कोई B, C नहीं है → कुछ A, C नहीं हैं
6. All + No → Some notIf All A are B & No B is C ⇒ Some A are not Cसभी A, B हैं और कोई B, C नहीं है → कुछ A, C नहीं हैं
7. Reversibility“Some A are B” = “Some B are A”“कुछ A, B हैं” = “कुछ B, A हैं”
8. Non-Reversibility“All A are B” ≠ “All B are A”“सभी A, B हैं” का अर्थ नहीं “सभी B, A हैं”

Common Examples

Example 1:

Statements: All cats are animals. All animals are living things.
Conclusions:

  1. All cats are living things. (✅ Follows)
  2. All living things are cats. (❌ Does not follow)

Example 2:

Statements: Some cars are bikes. All bikes are vehicles.
Conclusions:

  1. Some cars are vehicles. (✅ Follows)
  2. All vehicles are bikes. (❌ Does not follow)

Example 3 (Negative):

Statements: No apple is banana. Some bananas are mangoes.
Conclusions:

  1. Some mangoes are not apples. (✅ Follows)
  2. All apples are mangoes. (❌ Does not follow)

Example 4 (Either–Or Type):

Statements: Some pens are pencils. Some pencils are erasers.
Conclusions:
(i) Some pens are erasers.
(ii) Some pens are not erasers.

👉 Either (i) or (ii) follows
Rule: Same subject–predicate pair with opposite conclusions.

Example 5 (Coded Form):

Symbols:
A @ B → A is greater than B
A # B → A is equal to B
A $ B → A is smaller than B

Statement: A @ B # C
Conclusion: A ? C

⇒ A > B = C ⇒ A > C

Tips & Tricks

TipExplanation
🔹Draw Venn diagrams for clarity.
🔹Use logical direction (All → Some → Some not → No).
🔹Remember: “All” and “No” are universal, “Some” are particular.
🔹For “Either–Or”, both conclusions must be possible but not definite, and involve same elements.
🔹Avoid assumptions or real-world logic.

Practice Strategy

  1. Practice each type separately (All, Some, No, Some not).
  2. Then mix 3–4 statements for high-level puzzles.
  3. Use Venn diagrams to visualize.
  4. Solve 20–25 daily to improve speed.
  5. Revise “Either–Or” logic separately (a frequent exam trap).

Typical Exam Format

Directions:
In each of the following questions, two statements are followed by two conclusions. Consider the statements true and decide which conclusion(s) follow.

Options:
(A) Only conclusion I follows
(B) Only conclusion II follows
(C) Either I or II follows
(D) Neither I nor II follows
(E) Both I and II follow

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