1
GATE CSE 2007
MCQ (Single Correct Answer)
+1
-0.3
Consider the following segment of C-code:
int j, n;
j=1;
while(j <= n)
 j = j * 2;
The number of comparisons made in the execution of the loop for any n > 0 is:
A
$$\left\lceil {{{\log }_2}n} \right\rceil + 1$$
B
n
C
$$\left\lceil {{{\log }_2}n} \right\rceil $$
D
$$\left\lfloor {{{\log }_2}n} \right\rfloor + 1$$
2
GATE CSE 2006
MCQ (Single Correct Answer)
+1
-0.3
Consider the following C-program fragment in which i, j and n are integer variables.
for (i = n, j = 0; i > 0; i /= 2, j += i);
let val (j) denote the value stored in the variable j after termination of the for loop. Which one of the following is true?
A
val (j) = $$\theta $$ (log n)
B
val (j) = ($$\sqrt n $$)
C
val (j) = $$\theta $$ (n)
D
val (j) = $$\theta $$ (n log n)
3
GATE CSE 2005
MCQ (Single Correct Answer)
+1
-0.3
The time complexity of computing the transitive closure of a binary relation on a set of elements is known to be:
A
O (n)
B
O (n log n)
C
O (n3/2)
D
O (n3)
4
GATE CSE 2003
MCQ (Single Correct Answer)
+1
-0.3
Consider an array multiplier for multiplying two n bit numbers. If each gate in the circuit has a unit delay, the total delay of the multiplier is
A
$$\Theta \,(1)$$
B
$$\Theta \,(\log n)$$
C
$$\Theta \,(n)$$
D
$$\Theta \,({n^2})$$
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Graduate Aptitude Test in Engineering
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CBSE
Class 12