Questions with Complete Solutions - Hamro CSIT

Express the following sentences using quantifier.

a. Not all people are loyal.

b. Everybody loves somebody.

c. Someone has passed the exam.

d. Aquatic animals can’t live without water.

e. Some subjects are not interesting.

Not Answered Discrete Structure Asked on 2080 Exam

Find the multiplicative inverse of 4 in Z₁₁ using extended euclidean algorithm.

Not Answered Discrete Structure Asked on 2080 Exam

Using Chinese remainder theorem solve the following congruences.

x = 1 (MOD 3)

x = 3 (MOD 5)

x = 6 (MOD 7)

Not Answered Discrete Structure Asked on 2080 Exam

Give the example of ceiling, floor and boolean function. How do you plot the graph of the function?

Not Answered Discrete Structure Asked on 2080 Exam

Explain the principle of inclusion and exclusion. How many integers from 1 to 30 are multiples of 2 or 3?

Not Answered Discrete Structure Asked on 2080 Exam

State pigeonhole principle. Solve the recurrence relation a_n = 5a_n-1 – 6a_n-2 with initial conditions a₀ = 1 and a₁ = 3.

Not Answered Discrete Structure Asked on 2080 Exam

Explain strong induction in detail. What is recursively defined function? Use mathematical induction to prove 7ⁿ⁺² + 8²ⁿ⁺¹ is divisible by 57.

Not Answered Discrete Structure Asked on 2080 Exam

State max flow min cut theorem. Find the value of maximal flow in the graph below:

Not Answered No Subject Asked on 2080 Exam

Define feasibility study. Explain different categories of feasibility.

Not Answered System Analysis and Design

What are the steps involved in corporate strategic planning.

Not Answered System Analysis and Design

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