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MIND DRILL



                   Solved Questions



              A.  Tick ( ) the correct option.
                  1.  Which of the following statements is a proposition?
                    a.  Get me a glass of water.
                    b.  May all your wishes come true!
                    c.  What is the value of π?
                    d.  The only odd prime number is 2.
                  2.  Let, P  : He is honest.
                        Q : He is dedicated.
                        R : He is hardworking. Then “He is honest or dedicated and not hardworking.”  is best represented by ………………….
                    a.  ∼P V ∼Q V R                                 b.  P ∧ ∼Q ∧ R
                    c.  P V Q ∧ R                                   d.  P ∨ Q ∧ ∼R
                   3.  Let, P : I live in Kolkata.
                         Q : I love sweets. Then q' → p is ………………….
                    a.  If I live in Kolkata then I love sweets.    b.  If I do not live in Kolkata then I do not love sweets.
                    c.  If I do not love sweets then I live in Kolkata.   d.  If I love sweets then I live in Kolkata.
                  4.  The Boolean expression A + B represents a ………………….
                    a.  Contingency                                 b.  Contradiction
                    c.  Tautology                                   d.  Converse
                  5.  Contrapositive of a conditional a' → b' is ………………….
                    a.  a  → b                                      b.  b → a
                    c.  b' → a'                                     d.  a' ∨ b'
                  6.  The NAND gate output will be high, if the two inputs are ………………… .
                    a.  0, 0                                        b.  0, 1
                    c.  1, 0                                        d.  1, 1

                  7.  How many AND gates are required to realise Y = A.B.C + D.E + F?
                    a.  4                                           b.  5
                    c.  3                                           d.  2
                  8.  A full adder logic circuit will have ………………… .
                    a.  two inputs and one output                   b.  three inputs and three outputs
                    c.  three inputs and two outputs                d.  two inputs and two outputs
                  9.  Which of the following is true for XOR gate?
                    a.  It results in 1 when all inputs are 1.      b.  It results in 1 for an odd number of 1 as input.
                    c.  It results in 1 for an even number of 1 as input.   d.  It results in 1 for any input as 1.
                 10.  Which of the following are the fundamental gates?
                    a.  NAND, NOR                                   b.  XOR, XNOR
                    c.  AND or                                      d.  NOT, NOR

                Answers
                  1.  d     2.  d     3.  c     4.  a     5.  b     6.  a     7.  d     8.  c     9.  b    10.  c





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