GATE CSE 2013 | GATE CSE Year Wise Previous Years Questions

GATE CSE 2013

MCQ (Single Correct Answer)

-0.3

In the following truth table $$V=1$$ if and only if the input is valid. GATE CSE 2013 Digital Logic - Combinational Circuits Question 14 English

What function does the truth table represent?

Priority encoder

Decoder

Multiplexer

Demultiplexer

GATE CSE 2013

MCQ (Single Correct Answer)

-0.3

Suppose p is the number of cars per minute passing through a certain road junction between 5PM and 6PM and p has a poisson distribution with mean 3. What is the probability of observing fewer than 3 cars during any given minute in this interval?

$$8/(2{e^3})$$

$$9/(2{e^3})$$

$$17/(2{e^3})$$

$$26/(2{e^3})$$

GATE CSE 2013

MCQ (Single Correct Answer)

-0.6

What is the logical translation of the following statement?
"None of my friends are perfect."

$$\exists x\left( {F\left( x \right) \wedge \neg P\left( x \right)} \right)$$

$$\exists x\left( {\neg F\left( x \right) \wedge P\left( x \right)} \right)$$

$$\exists x\left( {\neg F\left( x \right) \wedge \neg P\left( x \right)} \right)$$

$$\neg \exists x\left( {F\left( x \right) \wedge P\left( x \right)} \right)$$

GATE CSE 2013

MCQ (More than One Correct Answer)

-0.6

Which one of the following is NOT logically equivalent to $$\neg \exists x\left( {\forall y\left( \alpha \right) \wedge \left( {\forall z\left( \beta \right)} \right)} \right)?$$

$$\forall x\left( {\exists z\left( {\neg \beta } \right) \to \forall y\left( \alpha \right)} \right)$$

$$\forall x\left( {\forall z\left( \beta \right) \to \exists y\left( {\neg \alpha } \right)} \right)$$

$$\forall x\left( {\forall y\left( \alpha \right) \to \exists z\left( {\neg \beta } \right)} \right)$$

$$\forall x\left( {\exists y\left( {\neg \alpha } \right) \to \exists z\left( {\neg \beta } \right)} \right)$$

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