1
GATE CSE 2015 Set 3
Numerical
+1
-0
The number of $$4$$ digit numbers having their digits in non-decreasing order (from left to right) constructed by using the digits belonging to the set $${1, 2, 3}$$ is____________.
Your input ____
2
GATE CSE 2015 Set 3
MCQ (Single Correct Answer)
+1
-0.3
In a room there are only two types of people, namely Type $$1$$ and Type $$2.$$ Type $$1$$ people always tell the truth and Type $$2$$ people always lie. You give a fair coin to a person in that room, without knowing which type he is from and tell him to toss it and hide the result from you till you ask for it. Upon asking, the person replies the following β€œThe result of the toss is head if and only if I am telling the truth.”

Which of the following options is correct?

A
The result is head
B
The result is tail
C
If the person is of Type $$2,$$ then the result is tail
D
If the person is of Type $$1,$$ then the result is tail
3
GATE CSE 2015 Set 3
MCQ (Single Correct Answer)
+2
-0.6
Let $$R$$ be a relation on the set of ordered pairs of positive integers such that $$\left( {\left( {p,q} \right),\left( {r,s} \right)} \right) \in R$$ if and only if $$p - s = q - r.$$ Which one of the following is true about $$R$$?
A
Both reflexive and symmetric
B
Reflexive but not symmetric
C
Not reflexive but symmetric
D
Neither reflexive nor symmetric
4
GATE CSE 2015 Set 3
MCQ (Single Correct Answer)
+1
-0.3
The maximum number of processes that can be in $$Ready$$ state for a computer system with $$n$$ $$CPUs$$ is
A
$$n$$
B
$${n^2}$$
C
$${2^n}$$
D
Independent of $$n$$
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