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MHTCET 14 May 2023 Shift 1 Solved Paper
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© examsnet.com
Question : 51
Total: 150
The negation of the statement
"The number is an odd number if and only if it is divisible by
3
.
"
The number is an odd number but not divisible by 3 or the number is divisible by 3 but not odd.
The number is not an odd number iff it is not divisible by 3 .
The number is not an odd number but it is divisible by 3 .
The number is not an odd number or is not divisible by 3 but the number is divisible by 3 or odd.
Validate
Solution:
Let
p
: The number is an odd number,
q
:
The number is divisible by 3
∼
(
p
↔
q
)
≡
(
p
∧
∼
q
)
∨
(
q
∧
∼
p
)
∴
The negation of the given statement is 'The number is an odd number but not divisible by 3 or the number is divisible by 3 but not odd'.
© examsnet.com
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