1
GATE CSE 2015 Set 2
Numerical
+1
-0
The minimum number of $$JK$$ flip-flops required to construct a synchronous counter with the count sequence $$\left( {0,0,1,1,2,2,3,3,0,0,...} \right)$$ is ____________.
Your input ____
2
GATE CSE 2015 Set 2
MCQ (Single Correct Answer)
+1
-0.3
Let $$𝑅$$ be the relation on the set of positive integers such that $$aRb$$ if and only if $$𝑎 $$ and $$𝑏$$ are distinct and have a common divisor other than $$1.$$ Which one of the following statements about $$𝑅$$ is true?
A
$$𝑅$$ is symmetric and reflexive but not transitive
B
$$𝑅$$ is reflexive but not symmetric and not transitive
C
$$𝑅$$ is transitive but not reflexive and not symmetric
D
$$𝑅$$ is symmetric but not reflexive and not transitive
3
GATE CSE 2015 Set 2
MCQ (Single Correct Answer)
+2
-0.6
In a connected graph, bridge is an edge whose removal disconnects a graph. Which one of the following statements is true?
A
A tree has no bridges
B
A bridge cannot be part of a simple cycle
C
Every edge of a clique with size $$ \ge 3$$ is a bridge (A clique is any complete sub-graph of a graph )
D
A graph with bridges cannot have a cycle
4
GATE CSE 2015 Set 2
Numerical
+2
-0
The number of onto functions (subjective functions) from set $$X = \left\{ {1,2,3,4} \right\}$$ to set $$Y = \left\{ {a,b,c} \right\}$$ is __________________.
Your input ____