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Q.

The mathematical definition for Omega can be defined as, provided f,g:N→R+ and c is a positive constant and n > n0,

A

f(n) ≥ c. g(n) n

B

f(n) = c. g(n) n

C

f(n) ≥ c + g(n) n

D

f(n) = c + g(n) n

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MCQ

1.

The asymptotic notation for defining the average time complexity is

A

Equivalence

B

Symmetric

C

Reflexive

D

Both (c) and (d) above.

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2.

Performance based criteria of algorithm , which has to do with its computing time is _______________

A

Time Complexity

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Input

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Space Complexity

D

Finiteness

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3.

Express the formula (n – 2)*(n – 4) using θ notation:

A

θ (n^2)

B

θ (8)

C

θ (log n)

D

θ (n)

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4.

Given two non-negative functions f(n)= 5n²+6n+1 and g(n)=n² . Calculate upper bound value ,C

A

C=5

B

C=12

C

C=6

D

C=11

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5.

Which of the following formulas in Omega notation best represent the expression n

A

Ω (n³)

B

Ω (n²)

C

Ω (n)

D

Ω (35)

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