# GATE CSE 2006

 Question 1
Consider the polynomial $p(x)=a_{0}+a_{1}x+a_{2}x^{2} + a_{3}x^{3}$, where $a_{i}\neq 0,\forall i$. The minimum number of multiplications needed to evaluate p on an input x is:
 A 3 B 5 C 6 D 9
Engineering Mathematics   Linear Algebra
Question 1 Explanation:
 Question 2
Let X, Y, Z be sets of sizes x, y and z respectively. Let W=X$\times$Y and E be the set of all subsets of W. The number of functions from Z to E is
 A $Z^{2xy}$ B $Z*2^{xy}$ C $Z^{2x+y}$ D $2^{xyz}$
Discrete Mathematics   Set Theory
Question 2 Explanation:

 Question 3
The set {1, 2, 3, 5, 7, 8, 9} under multiplication modulo 10 is not a group. Given below are four plausible reasons. Which one of them is false?
 A It is not closed B 2 does not have an inverse C 3 does not have an inverse D 8 does not have an inverse
Discrete Mathematics   Group Theory
Question 3 Explanation:
 Question 4
A relation R is defined on ordered pairs of integers as follows:
(x,y)R(u,v) if x$\lt$u and y$\gt$v. Then R is
 A Neither a Partial Order nor an Equivalence Relation B A Partial Order but not a Total Order C A Total Order D An Equivalence Relation
Discrete Mathematics   Relation
Question 4 Explanation:
 Question 5
For which one of the following reason does Internet Protocol (IP) use the timeto-live (TTL) field in the IP datagram header?
 A Ensure packets reach destination within that time B Discard packets that reach later than that time C Prevent packets from looping indefinitely D Limit the time for which a packet gets queued in intermediate routers
Computer Network   Network Layer Protocol
Question 5 Explanation:

There are 5 questions to complete.