1
GATE CSE 2021 Set 2
MCQ (Single Correct Answer)
+2
-0.66

Consider the string abbccddeee. Each letter in the string must be assigned a binary code satisfying the following properties:

1. For any two letters, the code assigned to one letter must not be a prefix of the code assigned to the other letter.

2. For any two letters of the same frequency, the letter which occurs earlier in the dictionary order is assigned a code whose length is at most the length of the code assigned to the other letter.

Among the set of all binary code assignments which satisfy the above two properties, what is the minimum length of the encoded string? 

A
23
B
21
C
25
D
30
2
GATE CSE 2021 Set 2
MCQ (More than One Correct Answer)
+2
-0

Consider the following directed graph: 

GATE CSE 2021 Set 2 Algorithms - Dynamic Programming Question 2 English

Which of the following is/are correct about the graph?

A
The graph does not have a strongly connected component.
B
For each pair of vertices u and v, there is a directed path from u to v.
C
​The graph does not have a topological order.
D
A depth-first traversal starting at vertex S classifies three directed edges as back edges.
3
GATE CSE 2021 Set 2
MCQ (Single Correct Answer)
+1
-0.33
What is the worst-case number of arithmetic operations performed by recursive binary search on a sorted array of size n?
A
θ(n)
B
θ(√n)
C
θ(log2(n))
D
θ(n2)
4
GATE CSE 2021 Set 2
MCQ (Single Correct Answer)
+1
-0.33

Consider the following ANSI C program:

int main() {

Integer x;

return 0;

}

Which one of the following phases in a seven-phase C compiler will throw an error?  

A
Syntax analyzer
B
Semantic analyzer
C
Machine dependent optimizer
D
Lexical analyzer
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