1

GATE CSE 2021 Set 1

MCQ (More than One Correct Answer)

+2

-0.67

A relation R is said to be circular if a

**R**b and b**R**c together imply c**R**a. Which of the following options is/are correct?2

GATE CSE 2021 Set 1

Numerical

+2

-0.67

The lifetime of a component of a certain type is a random variable whose probability density function is exponentially distributed with parameter 2. For a randomly picked component of this type, the probability that, its lifetime exceeds the expected lifetime (rounded to 2 decimal places) is ______.

Your input ____

3

GATE CSE 2021 Set 1

MCQ (Single Correct Answer)

+2

-0.67

Let G be a group order 6, and H be a subgroup of G such that 1 < |H| < 6. Which one of the following options is correct?

4

GATE CSE 2021 Set 1

Numerical

+2

-0.67

A sender (S) transmits a signal, which can be one of the two kinds: H and L with probabilities 0.1 and 0.9 respectively, to a receiver (R).

In the graph below, the weight of edge (u, v) is the probability of receiving v when u is transmitted, where u, v ∈ {H, L}. For example, the probability that the received signal is L given the transmitted signal was H, is 0.7.

If the received signal is H, the probability that the transmitted signal was H (rounded to 2 decimal places) is ______

Your input ____

Paper analysis

Total Questions

Algorithms

5

Compiler Design

3

Computer Networks

4

Computer Organization

3

Data Structures

6

Database Management System

6

Digital Logic

5

Discrete Mathematics

11

Operating Systems

4

Programming Languages

2

Theory of Computation

6

General Aptitude

10

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