Test: Pumping Lemma - Computer Science Engineering (CSE) MCQ

# Test: Pumping Lemma - Computer Science Engineering (CSE) MCQ

Test Description

## 10 Questions MCQ Test GATE Computer Science Engineering(CSE) 2024 Mock Test Series - Test: Pumping Lemma

Test: Pumping Lemma for Computer Science Engineering (CSE) 2024 is part of GATE Computer Science Engineering(CSE) 2024 Mock Test Series preparation. The Test: Pumping Lemma questions and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus.The Test: Pumping Lemma MCQs are made for Computer Science Engineering (CSE) 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Pumping Lemma below.
Solutions of Test: Pumping Lemma questions in English are available as part of our GATE Computer Science Engineering(CSE) 2024 Mock Test Series for Computer Science Engineering (CSE) & Test: Pumping Lemma solutions in Hindi for GATE Computer Science Engineering(CSE) 2024 Mock Test Series course. Download more important topics, notes, lectures and mock test series for Computer Science Engineering (CSE) Exam by signing up for free. Attempt Test: Pumping Lemma | 10 questions in 30 minutes | Mock test for Computer Science Engineering (CSE) preparation | Free important questions MCQ to study GATE Computer Science Engineering(CSE) 2024 Mock Test Series for Computer Science Engineering (CSE) Exam | Download free PDF with solutions
 1 Crore+ students have signed up on EduRev. Have you?
Test: Pumping Lemma - Question 1

### While applying Pumping lemma over a language, we consider a string w that belong to L and fragment it into _________ parts.

Detailed Solution for Test: Pumping Lemma - Question 1

We select a string w such that w=xyz and |y|>0 and other conditions. However, there exists an integer n such that |w|>=n for any wÎL

Test: Pumping Lemma - Question 2

### Let w= xyz and y refers to the middle portion and |y|>0.What do we call the process of repeating y 0 or more times before checking that they still belong to the language L or not?

Detailed Solution for Test: Pumping Lemma - Question 2

The process of repeatation is called pumping and so, pumping is the process we perform before we check whether the pumped string belongs to L or not.

Test: Pumping Lemma - Question 3

### Fill in the blank in terms of p, where p is the maximum string length in L. Statement: Finite languages trivially satisfy the pumping lemma by having n = ______

Detailed Solution for Test: Pumping Lemma - Question 3

Finite languages trivially satisfy the pumping lemma by having n equal to the maximum string length in l plus 1.

Test: Pumping Lemma - Question 4

If d is a final state, which of the following is correct according to the given diagram?

Detailed Solution for Test: Pumping Lemma - Question 4

The FSA accepts the string pqrs. In terms of pumping lemma, the string pqrs is broken into an x portion an a, a y portion qr and a z portion s.

Test: Pumping Lemma - Question 5

Which of the following one can relate to the given statement:
Statement: If n items are put into m containers, with n>m, then atleast one container must contain more than one item.

Detailed Solution for Test: Pumping Lemma - Question 5

Pigeon hole principle states the following example: If there exists n=10 pigeons in m=9 holes, then since 10>9, the pigeonhole principle says that at least one hole has more than one pigeon.

Test: Pumping Lemma - Question 6

Relate the following statement:
Statement: All sufficiently long words in a regular language can have a middle section of words repeated a number of times to produce a new word which also lies within the same language.

Detailed Solution for Test: Pumping Lemma - Question 6

Pumping lemma defines an essential property for every regular language in automata theory. It has certain rules which decide whether a language is regular or not.

Test: Pumping Lemma - Question 7

If we select a string w such that w∈L, and w=xyz. Which of the following portions cannot be an empty string?

Detailed Solution for Test: Pumping Lemma - Question 7

The lemma says, the portion y in xyz cannot be zero or empty i.e. |y|>0, this condition needs to be fulfilled to check the conclusion condition.

Test: Pumping Lemma - Question 8

There exists a language L. We define a string w such that w∈L and w=xyz and |w| >=n for some constant integer n. What can be the maximum length of the substring xy i.e. |xy|<=?

Detailed Solution for Test: Pumping Lemma - Question 8

It is the first conditional statement of the lemma that states that |xy|<=n, i.e. the maximum length of the substring xy in w can be n only.

Test: Pumping Lemma - Question 9

Answer in accordance to the third and last statement in pumping lemma:For all _______ xyiz ∈L

Detailed Solution for Test: Pumping Lemma - Question 9

Suppose L is a regular language . Then there is an integer n so that for any x∈L and |x|>=n, there are strings u,v,w so that
x= uvw
|uv|<=n
|v|>0
for any m>=0, uvmw ∈L.

Test: Pumping Lemma - Question 10

Let w be a string and fragmented by three variable x, y, and z as per pumping lemma. What does these variables represent?

Detailed Solution for Test: Pumping Lemma - Question 10

Given: w =xyz. Here, xyz individually represents strings or rather substrings which we compute over conditions to check the regularity of the language.

## GATE Computer Science Engineering(CSE) 2024 Mock Test Series

150 docs|216 tests
Information about Test: Pumping Lemma Page
In this test you can find the Exam questions for Test: Pumping Lemma solved & explained in the simplest way possible. Besides giving Questions and answers for Test: Pumping Lemma, EduRev gives you an ample number of Online tests for practice

## GATE Computer Science Engineering(CSE) 2024 Mock Test Series

150 docs|216 tests