Aspire Faculty ID #18857 · Topic: UGC NET Computer Science Nov 2021 (Paper II) · Just now
UGC NET Computer Science Nov 2021 (Paper II)

 Which of the given options provides the increasing order of asymptotic complexity of functions $f_1,\ f_2,\ f_3$ and $f_4$?

A. $f_1(n)=2^n$

B. $f_2(n)=n^{3/2}$

C. $f_3(n)=n\log n$

D. $f_4(n)=n^{\log n}$

Choose the correct answer from the options given below.

Solution

Compare the growth rates:

$n\log n$ grows slower than $n^{3/2}$.

So,

$f_3(n)<f_2(n)$

Now, $n^{\log n}$ grows faster than any polynomial like $n^{3/2}$.

But $2^n$ grows faster than $n^{\log n}$.

So, increasing order is:

$f_3,\ f_2,\ f_4,\ f_1$
That is:
C, B, D, A

Previous 10 Questions — UGC NET Computer Science Nov 2021 (Paper II)

Nearest first
1
Given below are two statementsStatement I: In an undirected graph, number of odd degree vertices is even.Statement II: …
Topic: UGC NET Computer Science Nov 2021 (Paper II)
2
Consider the following graph.Among the following sequencesI. $a\ b\ e\ g\ h\ f$II. $a\ b\ f\ e\ h\ g$III. $a\ b\ f\ h\ …
Topic: UGC NET Computer Science Nov 2021 (Paper II)
3
A data structure is required for storing a set of integers such that each of the following operations can be done in $O…
Topic: UGC NET Computer Science Nov 2021 (Paper II)
4
Two balanced binary trees are given with $m$ and $n$ elements, respectively. They can be merged into a balanced binary …
Topic: UGC NET Computer Science Nov 2021 (Paper II)
5
A double-ended queue (deque) supports adding and removing items from both ends of the queue. The operations supported b…
Topic: UGC NET Computer Science Nov 2021 (Paper II)
6
The postfix form of the expression $(A+B)*(C*D-E)*F/G$ is ______
Topic: UGC NET Computer Science Nov 2021 (Paper II)
7
Given below are two statementsStatement I: LL(1) and LR are examples of Bottom-up parsers.Statement II: Recursive desce…
Topic: UGC NET Computer Science Nov 2021 (Paper II)
8
Which of the following concepts can be used to identify loops?A. Depth first orderingB. DominatorsC. Reducible graphsCh…
Topic: UGC NET Computer Science Nov 2021 (Paper II)
9
Match List I with List IIList IList IIA. $S\to XY,\ X\to 0,\ Y\to 1$I. Greibach Normal FormB. $S\to aS\mid bSS\mid c$II…
Topic: UGC NET Computer Science Nov 2021 (Paper II)
10
&nbsp;What language is accepted by the pushdown automaton$M=({q_0,q_1,q_2},\{a,b\},\{a,b,z\},\delta,q_0,z,\{q_2\})$with…
Topic: UGC NET Computer Science Nov 2021 (Paper II)

Next 10 Questions — UGC NET Computer Science Nov 2021 (Paper II)

Ascending by ID
1
The order of a leaf node in a $B+$ tree is the maximum number of value, data record pointer pairs it can hold. Given th…
Topic: UGC NET Computer Science Nov 2021 (Paper II)
2
A hash function $h$ defined as $h(key)=key\ mod\ 7$, with linear probing, is used to insert the keys $44,45,79,55,91,18…
Topic: UGC NET Computer Science Nov 2021 (Paper II)
3
In the following table, the left column contains the names of standard graph algorithms and the right column contains t…
Topic: UGC NET Computer Science Nov 2021 (Paper II)
4
Which agent deals with the happy and unhappy state?
Topic: UGC NET Computer Science Nov 2021 (Paper II)
5
Given below are two statementsStatement I: Breadth-First Search is optimal when all the step costs are equal whereas un…
Topic: UGC NET Computer Science Nov 2021 (Paper II)
6
Consider the given tree below. Calculate the value at the root of the tree using alpha‐beta pruning algorithm.
Topic: UGC NET Computer Science Nov 2021 (Paper II)
7
Which among the following statement(s) is(are) FALSE?A. Greedy best-first search is not optimal but is often efficient.…
Topic: UGC NET Computer Science Nov 2021 (Paper II)
8
Consider the sentence below.There is a country that borders both India and Pakistan.Which of the following logical expr…
Topic: UGC NET Computer Science Nov 2021 (Paper II)
9
Consider a domain consisting of three Boolean variables Toothache, Cavity, and Catch. The full joint distribution is a …
Topic: UGC NET Computer Science Nov 2021 (Paper II)
10
Consider a domain consisting of three Boolean variables Toothache, Cavity, and Catch. The full joint distribution is a …
Topic: UGC NET Computer Science Nov 2021 (Paper II)
Ask Your Question or Put Your Review.

loading...