Question 1 :
State whether the following statements are true or false. Give reasons for your answers.<br>For any real number $x, x^2 \geq 0$.
Question 3 :
$7\neq 10$. Choose the option that expresses the statement using the correct connective.<br>
Question 4 :
The contrapositive of : "If two triangles are congruent then they are similar" is<br/>
Question 5 :
Select and write the correct answer from the given alternative of the following question:<br>If $ p \wedge q $ is F , $ p \rightarrow q $ is F then the truth values of $p$ and $q$ are ___________.
Question 7 :
The statement "If $2^2 = 5$ then I get first class" is logically equivalent to
Question 8 :
The negation of the statement, "I go to school everyday", is
Question 10 :
Negation of $\displaystyle q \vee \sim \left ( p\wedge r \right )$ is
Question 12 :
If $P(n)$ be the statement $n(n+1)+1$ is odd, then which of the following is false?<br>
Question 13 :
If $p$'s truth value is $T$ and $q$'s truth value is $F$, then which of the following have the truth value $T$?<br>(i) $p\vee q$<br>(ii) $\sim p\vee q$<br>(iii) $p\vee (\sim q)$<br>(iv) $p\wedge (\sim q)$
Question 14 :
Negation of " A is in Class $X^{th}$ or B is in $XII^{th}$" is<br/>
Question 16 :
Let P(n) denote the statement that $n^2+n$ is odd. It is seen that $P(n)\Rightarrow P(n+1), P(n)$ is true for all.<br>
Question 17 :
If $x = 5$ and $ y = 2$ then $x - 2y = 9$. The contrapositive of this statement is<br>
Question 18 :
The contrapositive of the statement 'If I am not feeling well, then I will go to the doctor' is:
Question 19 : Consider the following statements. The number $12375$ is<br/><div>(1) divisible by $3$ <br/></div><div>(2) divisible by $11$ <br/></div><div>(3) divisible by $9$</div>Of these statements:
Question 20 : Consider the statements:<div>(i) Sun rises or moon sets.</div><div>(ii) All integers are positive or negative.<br/>(iii) Two lines intersect at a point or are parallel.<br/>(iv) The school is closed if it is a holiday or a Sunday.<br/>Which of the above statements is inclusive or statement?<br/></div>
