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Consider the following statements :

1. If n is a natural number, then the number  is also a natural number.

2. If m is an odd integer, then the number  is an integer. 

Which of the statements given above is/are correct ? 

This question was previously asked in
CDS Elementary Mathematics 16 April 2023 Official Paper
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  1. 1 only  
  2. 2 only 
  3. Both 1 and 2 
  4. Neither 1 nor 2 

Answer (Detailed Solution Below)

Option 3 : Both 1 and 2 
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Detailed Solution

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Calculation:

Statement 1:

Let n be 1

So, 

⇒ 

⇒ 

⇒ 1

So, statement 1 is correct.

Statement 2: 

Let m be 3

So, 

⇒ 

⇒ 

⇒ 

⇒ 8

So, statement 2 is correct.

∴ The required answer is Option 3.

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