GO Classes Test Series 2024 | Programming | Test 1 | Question: 22

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GO Classes asked in Programming in C Apr 18, 2022 retagged May 10, 2023 by Lakshman Bhaiya

488 views

Consider the following C code. Where $x$ and $y$ are unknown integers and have been initialized to values greater than $1.$

int i=1, j=0;
while (i<y) {
    j = j+i;
    i = i+1;
    if(i==x) break;
}

Which of the following statement(s) about the variables $i$ and $j$ must be true after execution of this program?

GO Classes asked in Programming in C Apr 18, 2022 retagged May 10, 2023 by Lakshman Bhaiya

488 views

1 Answer

shishir__roy · Answer 1 · 2022-04-18T17:53:22+0000

i is starting from 1, incrementing by 1 with each iteration of loop.
j is starting from 0, j adds i to itself in each iteration of loop, i increments after being added to j. Thus, j = $\sum_{n=1}^{i-1}$ n.
loop will end when i = whichever of x, y is smaller.

j = $\sum_{n=1}^{x-1}$ n = ( n (n+1) ) / 2 = ( (x-1) (x-1+1) ) / 2 = ( x (x-1) ) / 2.

j = $\sum_{n=1}^{y-1}$ n = ( n (n+1) ) / 2 = ( (y-1) (y-1+1) ) / 2 = ( y (y-1) ) / 2.

Option A : True. From 3, 4, 5.

Option B : True. From 3.

Option C : False. From 3.

Option D : False. From 3, 4, 5.

Answer :- A, B