Grade XI(Science)-First term examination

 $The\ compound\ statement\ \ p\wedge\ \left(\sim p\right)\ is\ a\$  

• Contradiction

• Tautology

• Both contradiction and tautology

• Neither contradiction nor tautology

 $The\ compound\ statement\ \left(p\wedge q\right)\Longrightarrow p\ is\ a\ .............$  

• Contradiction

• Tautology

• Both contradiction and tautology

• Neither contradiction nor tautology

 $The\ statement\ \sim\left(p\wedge q\right)\ is\ \log ically\ equivalent\ to\ ................$  

•  $\sim p\ \wedge\sim q$  

•  $\sim p\ \vee\ \sim\ q$  

•  $\sim p\ \wedge\ q$  

•  $p\ \vee\ \sim\ q$  

 If p be a true statement and q be a false statement, then the statement  $\sim\ \left(\sim p\ \vee\ \sim q\ \right)$  is ....

• true

• false

• both true and false

• neither true nor false

The truth table given alongside is related to .....

• Disjunction

• Conjunction

• Implication

• Biconditional

 $The\ symbolical\ notation\ p\Longleftrightarrow q\ denotes\ for\ .....$  

• implication

• equivalence

• Converse

• inverse

 $If\ p\Longrightarrow q\ is\ a\ givne\ conditional\ \ statement,\ then\ it's\ contratopitive\ is\ denotet\ by...........$  

•  $\sim p\Longrightarrow\sim q$  

•  $\sim q\Longrightarrow\ \sim p$  

•  $q\Longrightarrow p$  

• none of the above

Which of the following propositional formulae are logically equivalent?

• $p\Longrightarrow q\ and\ \sim p\ \vee q$

• $p\vee q\ and\ p\wedge q$

• $\sim p\ \vee\sim q\ and\ p\vee q$

• None of the above

Which of the following sentence is a statement?

• Kul Man Ghishing is a head of electricity authority.

• Do you want to take a cup of coffee?

• Bring a piece of paper for drawing competition.

• None of the above

The converse of " If two angles are right angle, they are equal" is...............

• If two angles are not right angles, they are not equal.

• If two angles are not equal, they are not right angles

• If two angles are equal, they are not called right angles.

• If two angles are equal, they are right angles