1
GATE CSE 2003
MCQ (Single Correct Answer)
+1
-0.3
Consider an array multiplier for multiplying two n bit numbers. If each gate in the circuit has a unit delay, the total delay of the multiplier is
A
$$\Theta \,(1)$$
B
$$\Theta \,(\log n)$$
C
$$\Theta \,(n)$$
D
$$\Theta \,({n^2})$$
2
GATE CSE 2003
MCQ (Single Correct Answer)
+1
-0.3
In a heap with n elements with the smallest element at the root, the 7th smallest element can be found in time
A
$$\Theta (n \log n)$$
B
$$\Theta (n)$$
C
$$\Theta(\log n)$$
D
$$\Theta(1)$$
3
GATE CSE 2003
MCQ (Single Correct Answer)
+2
-0.6
What is the weight of a minimum spanning tree of the following graph? GATE CSE 2003 Algorithms - Greedy Method Question 14 English
A
29
B
31
C
38
D
41
4
GATE CSE 2003
MCQ (Single Correct Answer)
+1
-0.3
Ram and Shyam have been asked to show that a certain problem Π is NP-complete. Ram shows a polynomial time reduction from the 3-SAT problem to Π, and Shyam shows a polynomial time reduction from Π to 3-SAT. Which of the following can be inferred from these reductions ?
A
Π is NP-hard but not NP-complete
B
Π is in NP, but is not NP-complete
C
Π is NP-complete
D
Π is neither NP-hard, nor in NP
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