1
GATE CSE 2014 Set 3
Numerical
+1
-0
let $$G$$ be a group with $$15$$ elements. Let $$L$$ be a subgroup of $$G$$. It is known that $$L \ne G$$ and that the size of $$L$$ is at least $$4$$. The size of $$L$$ is ______.
2
GATE CSE 2014 Set 3
MCQ (Single Correct Answer)
+2
-0.6
Let $$\delta$$ denote the minimum degree of a vertex in a graph. For all planar graphs on $$n$$ vertices with $$\delta \ge 3$$, which one of the following is TRUE?
A
In any planar embedding, the number of faces is at least $${n \over 2} + 2$$
B
In any planar embedding, the number of faces is less than $${n \over 2} + 2$$
C
There is a planar embedding in which the number of facess is less than $${n \over 2} + 2$$
D
There is a planar embedding in which the number of faces is at most $${n \over {\delta + 1}}$$
3
GATE CSE 2014 Set 3
MCQ (Single Correct Answer)
+2
-0.6
If $$G$$ is a forest with $$n$$ vertices and $$k$$ connected components, how many edges does $$G$$ have?
A
$$\left\lfloor {n/k} \right\rfloor$$
B
$$\left\lceil {n/k} \right\rceil \,$$
C
$$n - k$$
D
$$n - k + 1$$
4
GATE CSE 2014 Set 3
Numerical
+2
-0
An operating system uses $$shortest$$ $$remaining$$ $$time$$ $$first$$ scheduling algorithm for pre-emptive scheduling of processes. Consider the following set of processes with their arrival times and $$CPU$$ burst times (in milliseconds):
Process Arrival Time Burst Time
P1 0 12
P2 2 4
P3 3 6
P4 8 5

The average waiting time (in milliseconds) of the processes is ________.

GATE CSE Papers
2023
2022
2020
2019
2018
2013
2012
2011
2010
2009
2008
2007
2006
2005
2004
2003
2002
2001
2000
1999
1998
1997
1996
1995
1994
1993
1992
1991
1990
1989
1988
1987
EXAM MAP
Medical
NEET
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
CBSE
Class 12