Fill in the blanks.

Question 11 Mark

Write the converse of the statement : 'If $x$ is zero, then it is neither positive nor negative'.

Answer

If $x$ is neither positive nor negative, then $x$ is zero.

Question 21 Mark

The biconditional statement $p \leftrightarrow q$ is _________________ where
$p$ : The unit digit of an integer is zero
$q$ : It is divisible by 5 .

Answer

$p \leftrightarrow q$ : The unit digit of an integer is zero, if and only if it is divisible by 5 .

View full question & answer→

Question 31 Mark

The statement 'You will get a sweet dish after the dinner' in the form of conditional statement is _________________

Answer

If you take the dinner, then you will get sweet dish.

View full question & answer→

Question 41 Mark

The negation of the statement 'Ram or Shyam lived in Rajasthan' is _________________

Answer

Ram did not live in Rajasthan and Shyam did not live in Rajasthan', because
Let $p$ : Ram lived in Rajasthan
and $q$ : Shyam lived in Rajasthan
$\sim p$ : Ram did not live in Rajasthan
$\sim q$ : Shyam did not live in Rajasthan
$
\therefore \quad \sim(p \vee q)=\sim p \wedge \sim q
$
i.e., Ram did not live in Rajasthan and Shyam did not live in Rajasthan.

View full question & answer→

Question 51 Mark

Prime factors of 6 are 2 and 3 is a _________________ statement .

Answer

True, because
$6=2 \times 3$, hence prime factors of 6 are 2 and 3 is a true statement.

View full question & answer→

Question 61 Mark

The negation of the statement " 51 is not a multiple of $3^{\prime \prime}$ is _________________

Answer

51 is a multiple of 3 , because
Let $p: 51$ is not a multiple of 3
$\sim p: 51$ is a multiple of 3

View full question & answer→

Question 71 Mark

Come here is _________________

Answer

not a statement, because come here, is an order and if a sentence is an order, then it cannot be a statement.

View full question & answer→

Question 81 Mark

The negation of the statement "A circle is an ellipse" is _________________

Answer

A circle is not an ellipse, because
Let $p$ : A circle is an ellipse
$\sim p:$ A circle is not an ellipse.

View full question & answer→

Applied Maths Fill in the blanks.

Test yourself on this topic