KCET2018MathematicsMathematical Reasoning
The negation of the statement " ( 72 ) is divisible by ( 2 ) and ( 3 ) " is
Options
- A( 72 ) is not divisible by ( 2 ) or ( 72 ) is not divisible by ( 3 )
- B( 72 ) is divisible by ( 2 ) or ( 72 ) is divisible by ( 3 )
- C( 72 ) is divisible by ( 2 ) and ( 72 ) is divisible by ( 3 )
- D( 72 ) is not divisible by ( 2 ) and ( 3 )
Correct answer
A. ( 72 ) is not divisible by ( 2 ) or ( 72 ) is not divisible by ( 3 )
Step-by-step solution
We have, (p: 72 ) is divisible by 2 and 3 . Let ( q : 72 ) is divisible by 2 . r: 72 is divisible by 3 . ( q : 72 ) is not divisible by 2 . ( ) r. 72 is not divisible by 3 . ( q f)- q r ) ( 72 ) is not divisible by 2 or 72 is not divisible by 3 .