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

GATE CSE 2014 Set 2

Numerical

-0

Each of the nine words in the sentence "The Quick brown fox jumps over the lazy dog" is written on a separate piece of paper. These nine pieces of paper are kept in a box. One of the pieces is drawn at random from the box. The expected length of the word drawn is ______________. (Then answer should be rounded to one decimal place.)

Your input ____

GATE CSE 2014 Set 2

Numerical

-0

The probability that a given positive integer lying between 1 and 100 (both inclusive) is NOT divisible by 2, 3 or 5 is _______________

Your input ____

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

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