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Byju's Answer
Standard XII
Mathematics
General Term of Binomial Expansion
p:x is odd, ...
Question
p
:
x
is odd,
q
:
x
2
is odd, then the symbolic form of "
x
is odd and
x
2
is not odd", is
A
p
∨
q
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B
p
∧
q
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C
(
∼
p
)
∨
q
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D
p
∧
(
∼
q
)
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Solution
The correct option is
D
p
∧
(
∼
q
)
The required statement is "
p
and not
q
"
The symbol
∧
stands for "AND"
∴
p
∧
∼
q
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0
Similar questions
Q.
If
p
:
x
is odd;
q
:
x
2
is odd. Then "
x
is odd and
x
2
is not odd", is represented as
Q.
p
:
x
is odd,
q
:
x
2
is odd, then the symbolic form of "If
x
is not odd then
x
2
is odd", is
Q.
Assertion :The contrapositive and converse of the statement: "If
x
is a prime number, then
x
is odd" are:
Contrapositive: "If
x
is not odd, then
x
is not a prime number.
Converse: If
x
is odd, then
x
is a prime number. Reason: If statement
p
implies
q
, then its contrapositive is
∼
q
implies
∼
p
, and its converse is
q
implies
p
.
Q.
Write the following symbolic statements in words.
(i)
4
3
∈
Q (ii)
-
2
∉
N (iii) P = {p | p is an odd number}
Q.
If
3
p
+
2
q
=
r
,
where
p
,
q
,
r
are prime numbers, then which of the following statements is (are) possible
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