1
GATE CSE 2014 Set 3
MCQ (Single Correct Answer)
+2
-0.6
Consider the decision problem 2CNFSAT defined as follows:

{ $$\Phi $$ | $$\Phi $$ is a satisfiable propositional formula in CNF with at most two literal per clause}

For example, $$\Phi = \left( {{x_1} \vee {x_2}} \right) \wedge \left( {{x_1} \vee {{\overline x }_3}} \right) \wedge \left( {{x_2} \vee {x_4}} \right)$$ is a Boolean formula and it is in 2CNFSAT.

The decision problem 2CNFSAT is

A
NP-Complete.
B
Solvable in polynomial time by reduction to directed graph reachability.
C
Solvable in constant time since any input instance is satisfiable.
D
NP-Hard, but not NP-complete.
2
GATE CSE 2014 Set 3
MCQ (Single Correct Answer)
+1
-0.3
One of the purposes of using intermediate code in compilers is to
A
make parsing and semantic analysis simpler.
B
improve error recovery and error reporting.
C
increase the chances of reusing the machine-independent code optimizer in other compilers.
D
improve the register allocation.
3
GATE CSE 2014 Set 3
MCQ (Single Correct Answer)
+2
-0.6

Consider the basic block given below.

a = b + c 
c = a + d 
d = b + c 
e = d - b 
a = e + b

The minimum number of nodes and edges present in the DAG representation of the above basic block respectively are

A
6 and 6
B
8 and 10
C
9 and 12
D
4 and 4
4
GATE CSE 2014 Set 3
Numerical
+2
-0
An IP router implementing Classless Inter-domain Routing (CIDR) receives a packet with address 131.23.151.76. The router’s routing table has the following entries: GATE CSE 2014 Set 3 Computer Networks - Network Layer Question 22 English

The identifier of the output interface on which this packet will be forwarded is ______.

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