1
GATE CSE 2011
MCQ (Single Correct Answer)
+2
-0.6
The following is comment written for $$a$$ $$c$$ function. This function computes the roots of quadratic equation. $$a{x^2} + bx + c = 0$$ the function stores two real roots in $${}^ * root1\,\,\& \,\,{}^ * root2\,\,\,\& $$ returns the status of validity of roots. In handles four different kinds of cases
$$i)$$ When coefficient $$a$$ is zero or irrespective of discriminate
$$ii)$$ When discriminate is positive.
$$iii)$$ When discriminate is zero
$$iv)$$ When discriminate is negative

Only in cases $$(ii)$$ & $$(iii)$$ the stored roots are valid Otherwise $$0$$ is stored in the roots the function returns $$0$$ when the roots are valid & - $$1$$ otherwise. The function also ensures root $$1$$ $$> =$$ root $$2.$$

int get QuadRoots(float a, float b, float c, float $${}^ * root1$$, float $${}^ * root2$$);

A software test engineer is assigned the job of doing block box testing. He comes up with the following test cases, many of which are redundant

GATE CSE 2011 Software Engineering - Software Engineering Question 11 English

Which one of the following options provide the set of non-redundant tests using equivalence class partitioning approach from input perspective for black box testing?

A
$${T_1},\,{T_2},\,{T_3},\,{T_6}$$
B
$${T_1},\,{T_3},\,{T_4},\,{T_5}$$
C
$${T_2},\,{T_4},\,{T_5},\,{T_6}$$
D
$${T_2},\,{T_3},\,{T_4},\,{T_5}$$
2
GATE CSE 2011
MCQ (Single Correct Answer)
+2
-0.6
Definition of the language $$L$$ with alphabet $$\left\{ a \right\}$$ is given as following. $$L = \left\{ {{a^{nk}}} \right.\left| {k > 0,\,n} \right.$$ is a positive integer constant$$\left. \, \right\}$$

What is the minimum number of states needed in a $$DFA$$ to recognize $$L$$?

A
$$k+1$$
B
$$n+1$$
C
$${2^{n + 1}}$$
D
$${2^{k + 1}}$$
3
GATE CSE 2011
MCQ (Single Correct Answer)
+1
-0.3
The lexical analysis for a modern computer language such as java needs the power of which one of the following machine model in a necessary and sufficient sense?
A
Finite state automata
B
Deterministic pushdown automata
C
Non -deterministic pushdown automata
D
Turing machine
4
GATE CSE 2011
MCQ (Single Correct Answer)
+2
-0.6
Consider the languages $${L_1}$$, $${L_2}$$ and $${L_3}$$ are given below. $$$\eqalign{ & {L_1} = \left\{ {{0^p}{1^q}\left| {p,q \in N} \right.} \right\} \cr & {L_2} = \left\{ {{0^p}{1^q}\left| {p,q \in N} \right.\,\,and\,\,p = q} \right\}\,\,and \cr & {L_3} = \left\{ {{0^p}{1^q}{0^r}\left| {p,q,r\, \in N\,\,\,and\,\,\,p = q = r} \right.} \right\}. \cr} $$$

Which of the following statements is not TRUE?

A
Pushdown automata $$(PDA)$$ can be used to recognize $${L_1}$$ and $${L_2}$$
B
$${L_1}$$ is a regular language
C
All the three languages are context free
D
Turing machines can be used to recognize all the languages
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