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Computer Science Engineering (CSE) Exam  >  Computer Science Engineering (CSE) Tests  >  Question Bank for GATE Computer Science Engineering  >  Test: Algorithm Analysis & Asymptotic Notation- 3 - Computer Science Engineering (CSE) MCQ

Test: Algorithm Analysis & Asymptotic Notation- 3 - Computer Science Engineering (CSE) MCQ


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10 Questions MCQ Test Question Bank for GATE Computer Science Engineering - Test: Algorithm Analysis & Asymptotic Notation- 3

Test: Algorithm Analysis & Asymptotic Notation- 3 for Computer Science Engineering (CSE) 2024 is part of Question Bank for GATE Computer Science Engineering preparation. The Test: Algorithm Analysis & Asymptotic Notation- 3 questions and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus.The Test: Algorithm Analysis & Asymptotic Notation- 3 MCQs are made for Computer Science Engineering (CSE) 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Algorithm Analysis & Asymptotic Notation- 3 below.
Solutions of Test: Algorithm Analysis & Asymptotic Notation- 3 questions in English are available as part of our Question Bank for GATE Computer Science Engineering for Computer Science Engineering (CSE) & Test: Algorithm Analysis & Asymptotic Notation- 3 solutions in Hindi for Question Bank for GATE Computer Science Engineering course. Download more important topics, notes, lectures and mock test series for Computer Science Engineering (CSE) Exam by signing up for free. Attempt Test: Algorithm Analysis & Asymptotic Notation- 3 | 10 questions in 30 minutes | Mock test for Computer Science Engineering (CSE) preparation | Free important questions MCQ to study Question Bank for GATE Computer Science Engineering for Computer Science Engineering (CSE) Exam | Download free PDF with solutions
Test: Algorithm Analysis & Asymptotic Notation- 3 - Question 1
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Each of the function 2√n and nlogn has a growth rate .... than that of any polynomial.

Detailed Solution for Test: Algorithm Analysis & Asymptotic Notation- 3 - Question 1

2√n and nlogn grows exponentially which have growth rate greater than any polynomial.

Test: Algorithm Analysis & Asymptotic Notation- 3 - Question 2
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Time complexity of an algorithm T(n), where n is the input size is given by
T(n) = T( n - 1 ) + 1/n, if n> 1 
= 1, otherwise 
The order of this algorithm is 

Detailed Solution for Test: Algorithm Analysis & Asymptotic Notation- 3 - Question 2


⇒ O(log n)

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Test: Algorithm Analysis & Asymptotic Notation- 3 - Question 3
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The concept of order (Big O) is important because

Detailed Solution for Test: Algorithm Analysis & Asymptotic Notation- 3 - Question 3

Big O notation gives worst case limit for a given problem: Also find out the least upper bound of problem.

Test: Algorithm Analysis & Asymptotic Notation- 3 - Question 4
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Consider the following functions:

Which of the following is true?
Detailed Solution for Test: Algorithm Analysis & Asymptotic Notation- 3 - Question 4


Here f(n) is O(g(n))
f(n) is O(h(n))
If f(n) is O(g(n))
f(n) is O(g(n)) and g(n) is O (f(n))

Test: Algorithm Analysis & Asymptotic Notation- 3 - Question 5
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f(n) = 3n2 + 4n + 2
Which will be the exact value for f(n)?
Detailed Solution for Test: Algorithm Analysis & Asymptotic Notation- 3 - Question 5

f(n) = 3 n2 + 4n + 2 
So, f(n) = n2 + n2 + n2 = O (n2)

Test: Algorithm Analysis & Asymptotic Notation- 3 - Question 6
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Which of the following is the average number of key comparisons done by sequential reach in the successful case?
Detailed Solution for Test: Algorithm Analysis & Asymptotic Notation- 3 - Question 6

in linear or sequential search the maximum number of comparisons are (n) for V elements hence the number of comparisons when the element to be found is at the middle of the array

= n/2 [If n is even]
In general average case = 

Test: Algorithm Analysis & Asymptotic Notation- 3 - Question 7
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Which sort will operate in quadratic time relative to the number of elements in the array (on the average)?
Detailed Solution for Test: Algorithm Analysis & Asymptotic Notation- 3 - Question 7

Bubbles sort have time complexity of O(n2) and all other have times complexity 0(nlogn).

Test: Algorithm Analysis & Asymptotic Notation- 3 - Question 8
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 If one uses straight two-way merge sort algorithm to sort the following elements in ascending order:
20,47,15,8,9,4,40,30,12,17 
Then the order of these elements after the 2nd pass of the algorithm is
Detailed Solution for Test: Algorithm Analysis & Asymptotic Notation- 3 - Question 8

Test: Algorithm Analysis & Asymptotic Notation- 3 - Question 9
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 The recurrence relation: 
T(1) = 2
 , has the solution T(n) equal to
Detailed Solution for Test: Algorithm Analysis & Asymptotic Notation- 3 - Question 9

Let, 4k = n

≌ O(n)

Test: Algorithm Analysis & Asymptotic Notation- 3 - Question 10
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Consider the following two functions:

Which of the following is true?
Detailed Solution for Test: Algorithm Analysis & Asymptotic Notation- 3 - Question 10


Therefore;
n2 ≤ n3 for N ≥ 10000 
g1(n) = O(g2(n))

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