Programming Language GATE-2017 Problem Solution

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 greaterThan= 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 greaterThan 0 ) && ( r == x ) && ( y greaterThan 0 )
(C) ( q == 0 ) && ( r == x ) && ( y greaterThan 0 )
(D) ( q == 0 ) && ( y greaterThan 0 )

GATE CSE 2017 Set 2 | Question: 37

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