**Deductive Reasoning Worksheet :**

Worksheet given in this section is much useful to the students who would like to practice problems on deductive reasoning.

Before look at the worksheet, if you would like to know the basic stuff related to deductive reasoning,

**Question 1 :**

Consider the following statement :

By taking the medicine paracetamol, one can get recovered from fever.

Using the above statement and Law of Detachment, what will you tell your friend who is suffering from fever ?

**Question 2 : **

What conclusion can be drawn from the following two if-then statements :

1. If an object is a square, then it is a rhombus.

2. If an object is a rhombus, then it is an equilateral.

**Question 3 :**

Draw a logical conclusion from the given statements :

I can go to the party, if I clean my room.

I cannot go to the party.

**Question 4 :**

What conclusion can be drawn :

If I do my homework, then I will get good grades.

If I get good grades, then my parents will be happy.

**Question 5 :**

Write some conditional statements that can be made from the following true statements using the Law of Syllogism.

1. If a bird is the fastest bird on land, then it is the largest of all birds.

2. If a bird is the largest of all birds, then it is an ostrich.

3. If a bird is a bee hummingbird, then it is the smallest of all birds.

4. If a bird is the largest of all birds, then it is flightless.

5. If a bird is the smallest bird, then it has a nest the size of a walnut half-shell.

**Question 1 :**

Consider the following statement :

By taking the medicine paracetamol, one can get recovered from fever.

Using the above statement and Law of Detachment, what will you tell your friend who is suffering from fever ?

**Answer : **

If you take the medicine paracetamol, you can get recovered from fever.

**Question 2 : **

What conclusion can be drawn from the following two if-then statements :

1. If an object is a square, then it is a rhombus.

2. If an object is a rhombus, then it is an equilateral.

**Answer : **

By Law of Syllogism, we have

That is,

If an object is a square, then it is an equilateral

**Question 3 :**

Draw a logical conclusion from the given statements :

I can go to the party, if I clean my room.

I cannot go to the party.

**Answer : **

By Law of Detachment, we can have the following conclusion from the above statements.

I did not clean my room

**Question 4 :**

What conclusion can be drawn :

If I do my homework, then I will get good grades.

If I get good grades, then my parents will be happy.

**Answer : **

By Law of Syllogism, we can have the following conclusion for the above statements.

If I do my homework, then my parents will be happy.

**Question 5 :**

Write some conditional statements that can be made from the following true statements using the Law of Syllogism.

1. If a bird is the fastest bird on land, then it is the largest of all birds.

2. If a bird is the largest of all birds, then it is an ostrich.

3. If a bird is a bee hummingbird, then it is the smallest of all birds.

4. If a bird is the largest of all birds, then it is flightless.

5. If a bird is the smallest bird, then it has a nest the size of a walnut half-shell.

**Answer :**

Here are the conditional statements that use the Law of Syllogism.

a. If a bird is the fastest bird on land, then it is an ostrich. (Use 1 and 2.)

b. If a bird is a bee hummingbird, then it has a nest the size of a walnut half-shell. (Use 3 and 5.)

c. If a bird is the fastest bird on land, then it is flightless. (Use 1 and 4.)

After having gone through the stuff above, we hope that the students would have understood deductive reasoning.

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