All India Engineering / Architecture Entrance Examination (AIEEE)

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AIEEE 2009 Maths

 Q. 11. Statement-1: The variance of first n even natural numbers is  .

Statement-2: The sum of first n natural numbers is  and the sum of squares of first n natural numbers is

1. Statement-1 is false, Statement-2 is true.
   
   
2. Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1.
   
   
3. Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1.
   
   
4. Statement-1 is true, Statement-2 is false.

Sol:

Answer: (1)

Q. 12.

Statement-2: f is a bijection.

1. Statement-1 is false, Statement-2 is true.
   
   
2. Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1.
   
   
3. Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1.
   
   
4. Statement-1 is true, Statement-2 is false.

Sol: 

Answer: (3)