All India Engineering / Architecture Entrance Examination (AIEEE)
CBSE Guess > AIEEE > AIEEE Papers > 2009 > Maths
AIEEE 2009 Maths
Q. 9.
- Statement-1 is false, Statement-2 is true.
- Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1.
- Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1.
- Statement-1 is true, Statement-2 is false.
Sol.: Since, nothing has been stated about statements p and q we need to consider them as two independent statements i.e. they can be simultaneously true as well as false. Now, this can also be seen through the truth table:
P |
Q |
|
~q |
|
|
T |
T |
F |
F |
F |
T |
T |
F |
T |
T |
T |
F |
F |
T |
F |
F |
T |
F |
F |
F |
T |
T |
F |
T |
Answer: (4)
However if we consider ‘p’ and ‘q’ as two statements which may be dependent on each other then the equivalence becomes meaningless. Nothing can be said about tautology in general.
Q. 10.
Let A be a 
matrix
Statement 1: adj (adj A) = A.
Statement 2: 
- Statement-1 is false, Statement-2 is true.
- Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1.
- Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1.
- Statement-1 is true, Statement-2 is false.
Sol:
Answer: (3)
