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GATE 2025 CS (CS2) – Question 8

General Aptitude · Quantitative Aptitude: Arithmetic and Number Computation · 2 marks · Multiple choice

Which one of the following options is correct for the given data in the table?

Iteration ($i$)0123
Input ($I$)20-41015
Output ($X$)20162641
Output ($Y$)20-80-800-12000
  1. $X(i) = X(i-1) + I(i);\ Y(i) = Y(i-1)I(i);\ i > 0$
  2. $X(i) = X(i-1)I(i);\ Y(i) = Y(i-1) + I(i);\ i > 0$
  3. $X(i) = X(i-1)I(i);\ Y(i) = Y(i-1)I(i);\ i > 0$
  4. $X(i) = X(i-1) + I(i);\ Y(i) = Y(i-1)I(i-1);\ i > 0$

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Correct answer: (A) $X(i) = X(i-1) + I(i);\ Y(i) = Y(i-1)I(i);\ i > 0$

Explanation

X accumulates a running sum: 20-4=16, 16+10=26, 26+15=41. Y is a running product: 20×(-4)=-80, -80×10=-800, -800×15=-12000.