1
GATE CSE 2000
MCQ (Single Correct Answer)
+1
-0.3
Let s be a sorted array of n integers. Let t(n) denote the time taken for the most efficient algorithm to determined if there are two elements with sum less than 1000 in s. which of the following statements is true?
A
t (n) is O(1)
B
n < t (n) < $$n\log _2^n$$
C
$$n\log _2^n$$ < t (n) < $$\left( {\matrix{ n \cr 2 \cr } } \right)$$
D
t(n) = $$\left( {\matrix{ n \cr 2 \cr } } \right)$$
2
GATE CSE 2000
MCQ (Single Correct Answer)
+2
-0.6
Let G be an undirected connected graph with distinct edge weight. Let emax be the edge with maximum weight and emin the edge with minimum weight. Which of the following statements is false?
A
Every minimum spanning tree of G must contain emin
B
If emax is in a minimum spanning tree, then its removal must disconnect G
C
No minimum spanning tree contains emax
D
G has a unique minimum spanning tree
3
GATE CSE 2000
MCQ (Single Correct Answer)
+1
-0.3
The number of tokens in the following C statement is:
printf("i = %d, &i = %x",i, &i);
A
3
B
26
C
10
D
21
4
GATE CSE 2000
Subjective
+5
-0
An instruction pipeline has five stages where each stage takes $$2$$ nanoseconds and all instructions use all five stages. Branch instructions are not overlapped, i.e., the instruction after the branch is not fetched till the branch instruction is completed. Under ideal conditions.

(a) Calculate the average instruction execution time assuming that $$20$$% of all instruction executed are branch instructions. Ignore the fact that some branch instructions may be conditional.

(b) If a branch instruction is a conditional branch instruction, the branch need not be taken. If the branch is not taken, the following instructions can be overlapped. When $$80$$% of all branch instructions are conditional branch instructions, and $$50$$% of the conditional branch instructions are such that the branch is taken, calculate the average instruction execution time.