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Statements & Assumptions Concepts
LOGICALREASONING

Statements & Assumptions Concepts

Learn how to identify valid assumptions, implicit premises, and logical relationships within statements.

What is an Assumption?

An assumption is a hidden idea that the speaker believes to be true without stating it directly.

A simple test:

If the assumption is false, does the statement still make sense?

If No, then it is a valid assumption.


Example

Statement

“Switch to FreshMint toothpaste for whiter teeth.”


Step 1: Identify the claim

The advertisement says:

Use FreshMint


Whiter Teeth

Step 2: Ask yourself

Why would someone switch?

Only if they believe the toothpaste actually works.


Step 3: Find the hidden belief

The advertisement never says

“FreshMint can whiten teeth.”

It simply assumes people believe it.


Diagram

Advertisement

Use FreshMint


Whiter Teeth


Hidden Assumption

FreshMint can whiten teeth.

Final Answer

Assumption: FreshMint toothpaste can whiten teeth.


2. Statement & Course of Action

What is a Course of Action?

A course of action is the best practical solution to solve a problem.

A good course of action should be:

  • Practical
  • Solve the actual problem
  • Be realistic
  • Be within someone’s authority

Example

Statement

Frequent power cuts are affecting businesses.

Course of Action A

Install solar panels for every business.

Course of Action B

Upgrade the local power transformer.


Step 1: Check Action A

Power Cuts


Install Solar Everywhere

Possible?

  • Very expensive
  • Difficult
  • Not practical

❌ Weak action


Step 2: Check Action B

Power Cuts


Upgrade Transformer


Better Power Supply
  • Fixes the real problem
  • Practical
  • Municipality can do it

✅ Strong action


Final Answer

Course of Action B is correct.


3. Statement & Arguments

What is a Strong Argument?

A strong argument is

  • Relevant
  • Logical
  • Based on facts
  • Addresses the main issue

A weak argument is

  • Emotional
  • Personal opinion
  • Irrelevant
  • Exaggerated

Example

Statement

Should college education be free?

Argument A

Educated citizens improve the economy.

Argument B

My friend wants free college.


Compare

Argument A

Free Education


More Educated People


Economic Growth

Relevant ✔

Argument B

Friend Wants It


Free Education

Personal Opinion ✘

Final Answer

  • Argument A → Strong
  • Argument B → Weak

4. Statement & Inference

What is an Inference?

An inference is something that is likely to be true, based on the information given.

It is not guaranteed, only probable.


Example

Statement

80% of coaching students pass the exam.

Rohan attends coaching.


Step 1

100 Students



80 Pass

20 Do Not Pass

Step 2

Since Rohan is one of the coaching students,

he is more likely to pass.

Notice:

It says probably, not definitely.


Diagram

Coaching Student



80% Pass




Rohan will
probably pass

Final Answer

The inference is valid.


5. Cause & Effect

How to Identify?

Ask two questions:

  1. Did one event happen before the other?
  2. Can the first event naturally produce the second?

If yes,

Cause


Effect

Otherwise, both may simply have the same reason.


Example

Statements

Company laid off employees.

Company’s share price fell.


Possibility 1

Layoffs


Investors Panic


Stock Falls

Possible.


Possibility 2

Poor Business Performance

   ┌──────┴──────┐
   ▼             ▼

Layoffs     Stock Falls

Both are effects of one common cause.


Final Answer

More information is needed.


6. Assertion & Reason

How to Solve

Always check in this order.

Assertion True?



Reason True?



Does Reason Explain Assertion?

Example

Assertion

Metal feels colder than wood.

Reason

Metal conducts heat faster than wood.


Step 1

Assertion?

✔ True


Step 2

Reason?

✔ True


Step 3

Does the reason explain the assertion?

Touch Metal



Heat Leaves Hand Faster



Hand Feels Cold

Yes.


Final Answer

Both Assertion and Reason are true, and the Reason correctly explains the Assertion.


7. Statement & Assumption vs Inference

This is one of the most confusing topics.

                Statement

        "FreshMint whitens teeth"

             /             \
            /               \

     Assumption          Inference

Hidden belief        Likely conclusion

"FreshMint works"    "People may buy it"

Remember

  • Assumption → What must already be believed?
  • Inference → What can probably happen?

Quick Revision

                    Critical Reasoning

                Statement

     ┌──────────────┼──────────────┐
     ▼              ▼              ▼

Assumption     Argument      Inference

Hidden Idea    Strong/Weak   Probable Result


     ▼              ▼              ▼

Course of      Cause &       Assertion &
Action         Effect         Reason

Quick Tips

  • Assumption → Hidden belief.
  • Argument → Check relevance and logic.
  • Course of Action → Must be practical and solve the problem.
  • Inference → Probably true, not always true.
  • Cause & Effect → Check sequence and logical connection.
  • Assertion & Reason → Check truth first, then explanation.

My Private Notes

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