1
GATE CSE 2000
MCQ (Single Correct Answer)
+1
-0.3
Let $$S$$ and $$T$$ be languages over $$\sum { = \left\{ {a,b} \right\}} $$ represented by the regular expressions $${\left( {a + {b^ * }} \right)^ * }$$ and $$\,{\left( {a + b} \right)^ * },$$ respectively. Which of the following is true?
A
$$S \subset T$$
B
$$T \subset S$$
C
$$S=T$$
D
$$S \cap T = \phi $$
2
GATE CSE 1999
MCQ (Single Correct Answer)
+1
-0.3
Consider the regular expression $$(0+1)(0+1).......n$$ times. The minimum state finite automation that recognizes the language represented by this regular expression contains:
A
$$n$$ states
B
$$n+1$$ states
C
$$n+2$$ states
D
None of the above
3
GATE CSE 1998
MCQ (Single Correct Answer)
+1
-0.3
How many substrings of different lengths (non-zero) can be formed from a character string of length $$n$$ ?
A
$$n$$
B
$${n^2}$$
C
$${2^n}$$
D
$$n\left( {n + 1} \right)/2$$
4
GATE CSE 1998
MCQ (More than One Correct Answer)
+1
-0.3
The string $$1101$$ does not belong to the set represented by
A
$${110^ * }\,\,\left( {0 + 1} \right)$$
B
$$\,1\,{\left( {0 + 1} \right)^ * }101$$
C
$${\left( {10} \right)^ * }\,{\left( {01} \right)^ * }\,{\left( {00 + 11} \right)^ * }$$
D
$${\left( {00 + {{\left( {11} \right)}^ * }0} \right)^ * }$$
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