GATE CSE 2014 Set 2 | GATE CSE Year Wise Previous Years Questions

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GATE CSE 2014 Set 2

MCQ (Single Correct Answer)

-0.6

Which one of the following Boolean expressions is NOT A tautology?

$$\left( {\left( {a \to b} \right) \wedge \left( {b \to c} \right)} \right) \to \left( {a \to c} \right)$$

$$\left( {a \leftrightarrow c} \right) \to \left( { \sim b \to \left( {a \wedge c} \right)} \right)$$

$$\left( {a \wedge b \wedge c} \right) \to \left( {c \vee a} \right)$$

$$A \to \left( {b \to a} \right)$$

GATE CSE 2014 Set 2

MCQ (Single Correct Answer)

-0.6

Consider the following relation on subsets of the set S integers between 1 and 2014. For two distinct subsets U and V of S we say U < V if the minimum element in the symmetric difference of the two setss is in U.

Consider the following two statements:
S1 There is a subset of S that is larger than every other subset. S2: There is a subset of S that is smaller than every other subset.
Which one of the following is CORRECT?

Both S1 and S2 are true

S1 is true and S2 is false

S2 is true and S1 is false

Neither S1 nor S2 is true

GATE CSE 2014 Set 2

Numerical

-0

If the matrix A is such that $$$A = \left[ {\matrix{ 2 \cr { - 4} \cr 7 \cr } } \right]\,\,\left[ {\matrix{ 1 & 9 & 5 \cr } } \right]$$$ then the determinant of A is equal to _________.

Your input ____

GATE CSE 2014 Set 2

Numerical

-0

The number of distinct positive integral factors of 2014 is _______ .

Your input ____

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