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GATE | GATE-CS-2017 (Set 2) | Question 38
Consider the C program fragment below which is meant to divide x by y using repeated subtractions. The variable x, y, q and r are all unsigned int.
while(r >= y)
{
r = r - y;
q = q + 1;
}
Which of the following conditions on the variables x, y, q and r before the execution of the fragment will ensure that the loop terminates in a state satisfying the condition x == (y*q + r)?
(A)
( q == r ) && ( r == 0)
(B)
( x > 0 ) && ( r == x ) && ( y > 0 )
(C)
( q == 0 ) && ( r == x ) && ( y > 0 )
(D)
( q == 0 ) && ( y > 0 )
Answer
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