1
GATE CSE 2002
+1
-0.3
The minimum number of colors required to color the vertices of a cycle with $$n$$ nodes in such a way that no two adjacent nodes have the same colour is:
A
$$2$$
B
$$3$$
C
$$4$$
D
$$n - 2\left[ {n/2} \right] + 2$$
2
GATE CSE 2000
+1
-0.3
The minimum number of cards to be dealt from an arbitrarily shuffled deck of 52 cards to guarantee that three cards are from same suit is
A
3
B
8
C
9
D
12
3
GATE CSE 2000
+1
-0.3
The solution to the recurrence equation
$$T\left( {{2^k}} \right)$$ $$= 3T\left( {{2^{k - 1}}} \right) + 1$$,
$$T\left( 1 \right) = 1$$ is:
A
$${{2^k}}$$
B
$$\left( {{3^{k + 1}} - 1} \right)/2$$
C
$${3^{\log {K \over 2}}}$$
D
$${2^{\log {K \over 3}}}$$
4
GATE CSE 1999
+1
-0.3
The number of binary strings of $$n$$ zeros and $$k$$ ones such that no two ones are adjacent is:
A
$${}^{n + 1}{C_k}$$
B
$${}^n{C_k}$$
C
$${}^n{C_{k + 1}}$$
D
None of the above
GATE CSE Subjects
Theory of Computation
Operating Systems
Algorithms
Digital Logic
Database Management System
Data Structures
Computer Networks
Software Engineering
Compiler Design
Web Technologies
General Aptitude
Discrete Mathematics
Programming Languages
Computer Organization
EXAM MAP
Joint Entrance Examination