The result evaluating the postfix expression 10 \ 5 + 60 \ 6 \ / * 8 - is A) 284 B) 213 C) 142 D) 71

Official answer: C) 142. Explanation: To evaluate the postfix expression 10 \ 5 + 60 \ 6 \ / * 8 -, we scan the tokens from left to right using a stack: 1. Push 10: Stack = [10] 2. Push 5: Stack = [10, 5] 3. Operator `+`: Pop 5 and 10, compute 10 + 5 = 15, push 15. Stack = [15] 4. Push 60: Stack = [15, 60] 5. Push 6: Stack = [15, 60, 6] 6. Operator `/`: Pop 6 and 60, compute 60 / 6 = 10, push 10. Stack = [15, 10] 7. Operator `*`: Pop 10 and 15, compute 15 10 = 150, push 150. Stack = [150] 8. Push 8: Stack = [150, 8] 9. Operator `-`: Pop 8 and 150, compute 150 - 8 = 142, push 142. Stack = [142] The final result is 142.

Programming and Data Structures · Stacks

Official IIT answer key · IIT Kanpur · Audited Aug 2026

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GATE CSE 2015 Set 3 Q12 · MCQ · 1 mark

The result evaluating the postfix expression $10 \ 5 + 60 \ 6 \ / * 8 -$ is

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Stacks

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How GATE tests Stacks

GATE tests Stacks across both classical execution mechanics (postfix evaluation and LIFO sequence tracing) and advanced data structure design (state-space simulation with capacity constraints and O(1) stack augmentation). While earlier years focused on 1-mark algorithmic evaluations, recent years leverage 2-mark MSQs to test structural limits and asymptotic invariants.

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Independent practice explanation verified by the GateAI team. GATE is conducted by the IITs; question text follows the official paper.

Programming and Data Structures · Stacks

Official IIT answer key · IIT Kanpur · Audited Aug 2026

Take topic test

GATE CSE 2015 Set 3 Q12 · MCQ · 1 mark

The result evaluating the postfix expression $10 \ 5 + 60 \ 6 \ / * 8 -$ is

Select an option to check

Key concept

Stacks

Step-by-step verified solution

Examiner trap & misconception

Topic notes

How GATE tests Stacks

Full Stacks guide →

More on Stacks

All 3 questions on Stacks →

Independent practice explanation verified by the GateAI team. GATE is conducted by the IITs; question text follows the official paper.

The result evaluating the postfix expression $10 \ 5 + 60 \ 6 \ / * 8 -$ is

Step-by-step verified solution

Check you can still solve Stacks under a clock

More from GATE CSE 2015 Set 3

More on Stacks

The result evaluating the postfix expression $10 \ 5 + 60 \ 6 \ / * 8 -$ is

Step-by-step verified solution

Check you can still solve Stacks under a clock

More from GATE CSE 2015 Set 3

More on Stacks

The result evaluating the postfix expression 10 5+60 6 /∗8−10 \ 5 + 60 \ 6 \ / * 8 -10 5+60 6 /∗8− is

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Check you can still solve Stacks under a clock

More from GATE CSE 2015 Set 3

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The result evaluating the postfix expression 10 5+60 6 /∗8−10 \ 5 + 60 \ 6 \ / * 8 -10 5+60 6 /∗8− is

Step-by-step verified solution

Check you can still solve Stacks under a clock

More from GATE CSE 2015 Set 3

More on Stacks

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The result evaluating the postfix expression $10 \ 5 + 60 \ 6 \ / * 8 -$ is

The result evaluating the postfix expression $10 \ 5 + 60 \ 6 \ / * 8 -$ is