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GATE CS: Linear Algebra, Calculus and Probability previous year questions

43 real GATE CS questions on Linear Algebra, Calculus and Probability from 2022–2026, with the official answer to each. Try them here, or practise this topic free on Student AI Hub with instant checking and your score.

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Linear Algebra, Calculus and Probability in GATE at a glance

Questions
43
1-mark / 2-mark
25 / 18
Numerical (NAT)
16
Multiple select (MSQ)
11

Questions per year: 2026: 12 · 2025: 12 · 2024: 10 · 2023: 5 · 2022: 4.

Linear Algebra, Calculus and Probability questions

Each question is shown exactly as in the official paper. Tap “Show answer” to check yourself.

GATE 2026 Set 1 · Q.11 · 1 mark · MCQ

GATE CS Linear Algebra, Calculus and Probability question, GATE 2026 Q.11
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Answer: B · see the full paper

GATE 2026 Set 1 · Q.13 · 1 mark · MCQ

GATE CS Linear Algebra, Calculus and Probability question, GATE 2026 Q.13
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Answer: A · see the full paper

GATE 2026 Set 1 · Q.20 · 1 mark · MSQ

GATE CS Linear Algebra, Calculus and Probability question, GATE 2026 Q.20
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Answer: B, D · see the full paper

GATE 2026 Set 1 · Q.32 · 1 mark · NAT

GATE CS Linear Algebra, Calculus and Probability question, GATE 2026 Q.32
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Answer: 3 · see the full paper

GATE 2026 Set 1 · Q.46 · 2 marks · MSQ

GATE CS Linear Algebra, Calculus and Probability question, GATE 2026 Q.46
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Answer: A, C, D · see the full paper

GATE 2026 Set 1 · Q.58 · 2 marks · NAT

GATE CS Linear Algebra, Calculus and Probability question, GATE 2026 Q.58
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Answer: 4.24 to 4.26 · see the full paper

GATE 2026 Set 2 · Q.14 · 1 mark · MCQ

GATE CS Linear Algebra, Calculus and Probability question, GATE 2026 Q.14
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Answer: B · see the full paper

GATE 2026 Set 2 · Q.27 · 1 mark · MSQ

GATE CS Linear Algebra, Calculus and Probability question, GATE 2026 Q.27
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Answer: A, C · see the full paper

GATE 2026 Set 2 · Q.31 · 1 mark · NAT

GATE CS Linear Algebra, Calculus and Probability question, GATE 2026 Q.31
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Answer: 24 · see the full paper

GATE 2026 Set 2 · Q.62 · 2 marks · NAT

GATE CS Linear Algebra, Calculus and Probability question, GATE 2026 Q.62
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Answer: 48 · see the full paper

GATE 2026 Set 2 · Q.63 · 2 marks · NAT

GATE CS Linear Algebra, Calculus and Probability question, GATE 2026 Q.63
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Answer: 0.5 · see the full paper

GATE 2026 Set 2 · Q.64 · 2 marks · NAT

GATE CS Linear Algebra, Calculus and Probability question, GATE 2026 Q.64
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Answer: 40 · see the full paper

GATE 2025 Set 1 · Q.23 · 1 mark · MSQ

GATE CS Linear Algebra, Calculus and Probability question, GATE 2025 Q.23
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Answer: A, D · see the full paper

GATE 2025 Set 1 · Q.31 · 1 mark · NAT

GATE CS Linear Algebra, Calculus and Probability question, GATE 2025 Q.31
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Answer: -2.1 to -1.9 · see the full paper

GATE 2025 Set 1 · Q.32 · 1 mark · NAT

GATE CS Linear Algebra, Calculus and Probability question, GATE 2025 Q.32
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Answer: 0.49 to 0.51 · see the full paper

GATE 2025 Set 1 · Q.41 · 2 marks · MCQ

GATE CS Linear Algebra, Calculus and Probability question, GATE 2025 Q.41
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Answer: D · see the full paper

GATE 2025 Set 1 · Q.56 · 2 marks · NAT

GATE CS Linear Algebra, Calculus and Probability question, GATE 2025 Q.56
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Answer: 0.949 to 0.952 · see the full paper

GATE 2025 Set 1 · Q.58 · 2 marks · NAT

GATE CS Linear Algebra, Calculus and Probability question, GATE 2025 Q.58
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Answer: 0.3 to 0.302 · see the full paper

GATE 2025 Set 2 · Q.11 · 1 mark · MCQ

GATE CS Linear Algebra, Calculus and Probability question, GATE 2025 Q.11
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Answer: C · see the full paper

GATE 2025 Set 2 · Q.12 · 1 mark · MCQ

GATE CS Linear Algebra, Calculus and Probability question, GATE 2025 Q.12
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Answer: A · see the full paper

GATE 2025 Set 2 · Q.14 · 1 mark · MCQ

GATE CS Linear Algebra, Calculus and Probability question, GATE 2025 Q.14
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Answer: A · see the full paper

GATE 2025 Set 2 · Q.44 · 2 marks · MSQ

GATE CS Linear Algebra, Calculus and Probability question, GATE 2025 Q.44
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Answer: A, B, C · see the full paper

GATE 2025 Set 2 · Q.64 · 2 marks · NAT

GATE CS Linear Algebra, Calculus and Probability question, GATE 2025 Q.64
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Answer: 0.5 · see the full paper

GATE 2025 Set 2 · Q.65 · 2 marks · NAT

GATE CS Linear Algebra, Calculus and Probability question, GATE 2025 Q.65
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Answer: 0.7 to 0.8 · see the full paper

GATE 2024 Set 1 · Q.11 · 1 mark · MCQ

GATE CS Linear Algebra, Calculus and Probability question, GATE 2024 Q.11
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Answer: D · see the full paper

GATE 2024 Set 1 · Q.12 · 1 mark · MCQ

GATE CS Linear Algebra, Calculus and Probability question, GATE 2024 Q.12
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Answer: B · see the full paper

GATE 2024 Set 1 · Q.14 · 1 mark · MCQ

GATE CS Linear Algebra, Calculus and Probability question, GATE 2024 Q.14
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Answer: B · see the full paper

GATE 2024 Set 1 · Q.27 · 1 mark · MSQ

GATE CS Linear Algebra, Calculus and Probability question, GATE 2024 Q.27
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Answer: B, C · see the full paper

GATE 2024 Set 1 · Q.49 · 2 marks · MSQ

GATE CS Linear Algebra, Calculus and Probability question, GATE 2024 Q.49
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Answer: A · see the full paper

GATE 2024 Set 1 · Q.63 · 2 marks · NAT

GATE CS Linear Algebra, Calculus and Probability question, GATE 2024 Q.63
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Answer: 0.37 to 0.38 · see the full paper

GATE 2024 Set 2 · Q.16 · 1 mark · MCQ

GATE CS Linear Algebra, Calculus and Probability question, GATE 2024 Q.16
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Answer: B · see the full paper

GATE 2024 Set 2 · Q.18 · 1 mark · MCQ

GATE CS Linear Algebra, Calculus and Probability question, GATE 2024 Q.18
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Answer: B · see the full paper

GATE 2024 Set 2 · Q.44 · 2 marks · MCQ

GATE CS Linear Algebra, Calculus and Probability question, GATE 2024 Q.44
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Answer: D · see the full paper

GATE 2024 Set 2 · Q.47 · 2 marks · MSQ

GATE CS Linear Algebra, Calculus and Probability question, GATE 2024 Q.47
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Answer: A, B · see the full paper

GATE 2023 · Q.18 · 1 mark · MCQ

GATE CS Linear Algebra, Calculus and Probability question, GATE 2023 Q.18
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Answer: B · see the full paper

GATE 2023 · Q.28 · 1 mark · MSQ

GATE CS Linear Algebra, Calculus and Probability question, GATE 2023 Q.28
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Answer: B, D · see the full paper

GATE 2023 · Q.30 · 1 mark · NAT

GATE CS Linear Algebra, Calculus and Probability question, GATE 2023 Q.30
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Answer: 2 or 4 · see the full paper

GATE 2023 · Q.31 · 1 mark · NAT

GATE CS Linear Algebra, Calculus and Probability question, GATE 2023 Q.31
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Answer: 0 · see the full paper

GATE 2023 · Q.53 · 2 marks · MSQ

GATE CS Linear Algebra, Calculus and Probability question, GATE 2023 Q.53
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Answer: C, D · see the full paper

GATE 2022 · Q.20 · 1 mark · MCQ

GATE CS Linear Algebra, Calculus and Probability question, GATE 2022 Q.20
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Answer: C · see the full paper

GATE 2022 · Q.34 · 1 mark · NAT

GATE CS Linear Algebra, Calculus and Probability question, GATE 2022 Q.34
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Answer: -0.5 · see the full paper

GATE 2022 · Q.45 · 2 marks · MCQ

GATE CS Linear Algebra, Calculus and Probability question, GATE 2022 Q.45
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Answer: D · see the full paper

GATE 2022 · Q.53 · 2 marks · MSQ

GATE CS Linear Algebra, Calculus and Probability question, GATE 2022 Q.53
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Answer: A, C, D · see the full paper

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