1
GATE CSE 2015 Set 1
MCQ (Single Correct Answer)
+2
-0.6
Consider the following pseudo code, where x and y are positive integers.
begin 
    q := 0 
    r := x 
   while r ≥ y do 
      begin 
      r := r - y 
      q := q + 1 
    end 
end
The post condition that needs to be satisfied after the program terminates is
A
$$\{ r = qx + y \wedge r < y\}$$
B
$$\{ x = qy + r \wedge r < y\}$$
C
$$\{ y = qx + r \wedge 0 < r < y\}$$
D
$$\{ q + 1 < r - y \wedge y > 0\}$$
2
GATE CSE 2014 Set 2
Numerical
+2
-0
Consider the following function
double f (double x) {
    if ( abs (x * x – 3) < 0. 01) return x;
    else return f (x / 2 + 1.5/x);
}
Give a value q (to 2 decimals) such that f(q) will return q:______.
Your input ____
3
GATE CSE 2014 Set 2
MCQ (Single Correct Answer)
+2
-0.6
Consider the C function given below.
int f(int j)
{
    static int i = 50;
    int k;
    if (i == j)
    {
        printf("something");
        k = f(i);
        return 0;
    }
    else return 0;
}
Which one of the following is TRUE?
A
The function returns 0 for all values of j.
B
The function prints the string something for all values of j.
C
The function returns 0 when j = 50.
D
The function will exhaust the runtime stack or run into an infinite loop when j = 50.
4
GATE CSE 2013
MCQ (Single Correct Answer)
+2
-0.6
What is the return value of f (p, p), if the value of p is initialized to 5 before the call? Note that the first parameter is passed by reference, whereas the second parameter is passed by value.
int f (int &x, int c) {
    c = c - 1;
    if (c==0) return 1;
    x = x + 1;
    return f(x,c) * x;
}
A
3024
B
6561
C
55440
D
161051
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