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Programming in C

GATE CSE 2024 Set 1 · Q33

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Consider the operator precedence and associativity rules for the integer\textit{integer} arithmetic operators given in the table below. The value of the expression 3+1+5∗2/7+2−4−7−6/23 + 1 + 5 * 2 / 7 + 2 - 4 - 7 - 6 / 2 as per the above rules is ________

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Official answer: 6

Programming in C

We evaluate the expression:

3+1+5∗2/7+2−4−7−6/23 + 1 + 5 * 2 / 7 + 2 - 4 - 7 - 6 / 2

According to the given table:

  • ++: Highest precedence, Left-associative

  • −-: High precedence, Right-associative

  • **∗***: Medium precedence, Right-associative

  • //: Low precedence, Right-associative

Step 1: Evaluate all ++ operators (Highest precedence, Left-to-Right)

  • First sub-expression: (3+1)+5=4+5=9(3 + 1) + 5 = 4 + 5 = 9

  • Second sub-expression: 7+2=97 + 2 = 9

Substituting these gives:

9∗2/9−4−7−6/29 * 2 / 9 - 4 - 7 - 6 / 2

Step 2: Evaluate all −- operators (High precedence, Right-to-Left)

  • Sub-expression with −-: 9−4−7−69 - 4 - 7 - 6

  • Associating from right to left: 9−(4−(7−6))9 - (4 - (7 - 6))

    • 7−6=17 - 6 = 1

    • 4−1=34 - 1 = 3

    • 9−3=69 - 3 = 6

Substituting back gives:

9∗2/6/29 * 2 / 6 / 2

**Step 3: Evaluate ∗* operators (Medium precedence, Right-to-Left)**

  • Sub-expression: 9∗2=189 * 2 = 18

Substituting back gives:

18/6/218 / 6 / 2

Step 4: Evaluate // operators (Low precedence, Right-to-Left)

  • Associating from right to left: 18/(6/2)18 / (6 / 2)

    • 6/2=36 / 2 = 3

    • 18/3=618 / 3 = 6

Thus, the final computed value is 6.

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This Programming in C previous year question is Q33 of the GATE CSE 2024 Set 1 paper. Find more GATE CSE PYQs on Programming in C in Programming and Data Structures, or browse all GATE CSE PYQs.

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Programming in C has 74 GATE CSE PYQs across 25 papers from 2011 to 2026. 16 of them are 1-mark NAT questions like this one, and GATE CSE 2024 Set 1 has 3.

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GateAI solution cardGATE CSE 2024 Set 1 · Q33 · NAT

Consider the operator precedence and associativity rules for the integer arithmetic operators given in the table below. The value of the expression 3 + 1 + 5 * 2 / 7 + 2 - 4 - 7 - 6 / 2 as per the above rules is …

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