GATE CSE 1996 | GATE CSE Year Wise Previous Years Questions

GATE CSE 1996

MCQ (Single Correct Answer)

-0.6

Which one of the following is false? Read $$ \wedge $$ as AND, $$ \vee $$ as OR, $$ \sim $$ as NOT, $$ \to $$ as one way implication and $$ \leftrightarrow $$ two way implication.

$$\left( {\left( {x \to y} \right) \wedge x} \right) \to y$$

$$\left( {\left( { \sim x \to y} \right) \wedge \left( { \sim x \to \sim y} \right)} \right) \to x$$

$$\left( {x \to \left( {x \vee y} \right)} \right)$$

$$\left( {\left( {x \vee y} \right) \leftrightarrow \left( { \sim x \to \sim y} \right)} \right)$$

GATE CSE 1996

MCQ (Single Correct Answer)

-0.3

Two dice are thrown simultaneously. The probability that at least one of them will have 6 facing up is

$${1 \over {36}}$$

$${1 \over {3}}$$

$${25 \over {36}}$$

$${11\over {36}}$$

GATE CSE 1996

MCQ (Single Correct Answer)

-0.6

The probability that the top and bottom cards of a randomly shuffled deck are both access is

$${4 \over {52}}\, \times \,{4 \over {52}}\,$$

$${4 \over {52}}\, \times \,{3 \over {52}}\,$$

$${4 \over {52}}\, \times \,{3 \over {51}}\,$$

$${4 \over {52}}\, \times \,{4 \over {51}}\,$$

GATE CSE 1996

MCQ (Single Correct Answer)

-0.6

Let R be a non-emply relation on a collection of sets defined by $${A^R}\,B $$ if and only if $$A\, \cap \,B\, = \,\phi $$. Then, (pick the true statement)

R is reflexive and transitive

R is symmetric and not transitive

R is an equivalence relation

R is not reflexive and not symmetric

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