1
GATE CSE 2020
Numerical
+2
-0.67
Consider the following C functions.
int fun1 (int n) {
     static int i = 0;
     if (n > 0) {
            ++i;
            fun1(n-1);
     }
     return (i);
}

___________________
int fun2 (int n) {
     static int i = 0;
     if (n > 0) {
            i = i + fun1 (n);
            fun2(n-1);
     }
     return (i);
}

The return value of fun2 (5) is _______.
Your input ____
2
GATE CSE 2020
MCQ (Single Correct Answer)
+1
-0.33
Which one of the following regular expressions represents the set of all binary strings with an odd number of 1’s?
A
10*(0*10*10*)*
B
((0 + 1)*1(0 + 1)*1)*10*
C
(0*10*10*)*10*
D
(0*10*10*)*0*1
3
GATE CSE 2020
MCQ (Single Correct Answer)
+1
-0.33
Consider the following statements.

I. If L1 $$ \cup $$ L2 is regular, then both L1 and L2 must be regular.
II. The class of regular languages is closed under infinite union.

Which of the above statements is/are TRUE?
A
I only
B
II only
C
Both I and II
D
Neither I nor II
4
GATE CSE 2020
MCQ (Single Correct Answer)
+1
-0.33
Consider the language
L = { $${a^n}|n \ge 0$$ } $$ \cup $$ { $${a^n}{b^n}|n \ge 0$$ }
and the following statements.

I. L is deterministic context-free.
II. L is context-free but not deterministic context-free.
III. L is not LL(k) for any k.

Which of the above statements is/are TRUE?
A
I only
B
II only
C
I and III only
D
III only
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