Logic test
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This document contains 10 logic and reasoning questions covering topics such as identifying logical statements and their truth values, determining the truth value of compound statements using truth tables, identifying duals, negations, converses, inverses and contrapositives of conditional statements, and constructing switching circuits. The questions require applying concepts of logic, truth tables, conditional/biconditional statements, contraposition, negation and duality to analyze statements and express logical relationships.
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Logic test
- 1. LOGIC TEST<br />(1) State which of the following is a statement in logic. Also state their truth value<br />(i) Thirteen is a prime number<br />(ii) Close the door<br />(iii) All integers are natural numbers<br />(2) Determine the truth value of the following statements<br />(i) Paris is in China and London is in Germany<br />(ii) 3 + 5 = 8 if and only if 3 + 2 =7<br />(iii) If Rome is in Italy then Paris is in France<br />(3) If the statements p and q are true and statement r is false then find the truth value of the following <br />(4) Prepare the truth tables of : <br />(5) Using truth tables verify : <br />(6) Examine whether the following is a tautology, contradiction or contingency<br />(7) Write the dual of the following :<br /> (iii) I like tea or milk<br />(8) Write the negation of the following :<br />(i) Hema Malini is the best dancer (ii) <br />(iii) If the diagonals of a parallelogram are perpendicular then it is a rhombus<br />(9) Write the converse, inverse and contrapositive of the following <br />If a man is a bachelor then he is unhappy<br />(10) Construct switching circuit of the following : <br />