1
GATE CSE 2013
MCQ (Single Correct Answer)
+1
-0.3
Which one of the following expressions does NOT represent exclusive NOR of $$x$$ and $$y?$$
A
$$xy+x'y'$$
B
$$x \otimes y'$$
C
$$x' \otimes y$$
D
$$x' \otimes y'$$
2
GATE CSE 2013
MCQ (Single Correct Answer)
+1
-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?

A
Priority encoder
B
Decoder
C
Multiplexer
D
Demultiplexer
3
GATE CSE 2013
MCQ (Single Correct Answer)
+1
-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?
A
$$8/(2{e^3})$$
B
$$9/(2{e^3})$$
C
$$17/(2{e^3})$$
D
$$26/(2{e^3})$$
4
GATE CSE 2013
MCQ (Single Correct Answer)
+2
-0.6
What is the logical translation of the following statement?
"None of my friends are perfect."
A
$$\exists x\left( {F\left( x \right) \wedge \neg P\left( x \right)} \right)$$
B
$$\exists x\left( {\neg F\left( x \right) \wedge P\left( x \right)} \right)$$
C
$$\exists x\left( {\neg F\left( x \right) \wedge \neg P\left( x \right)} \right)$$
D
$$\neg \exists x\left( {F\left( x \right) \wedge P\left( x \right)} \right)$$
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