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<div style="background:#eef3fb;color:#303846;border:1px solid #c9d7ee;border-radius:12px;padding:14px 18px;margin:0 0 18px"><p style="margin:0;font-size:14px;line-height:1.6"><strong style="color:#171d29">Checked 25 September 2026.</strong> Syllabus and past-paper data are official and fixed. Formulas are standard statistics.</p></div>

<p style="margin:0 0 16px;line-height:1.7">Probability & Statistics is Section 1 of the GATE DA syllabus and, in our question-by-question count of the three official papers, the section that carried the most marks over the three years: <strong>15 in 2024, 19 in 2025 and 21 in 2026</strong>, out of 85 subject marks per paper (100 including General Aptitude). It also sits underneath two other sections — naive Bayes, LDA and regression in Machine Learning, and conditional independence and inference in AI — so time spent here pays twice.</p>

<div style="display:flex;flex-wrap:wrap;gap:10px;margin:18px 0"><div style="flex:1 1 140px;background:#fbfaf6;border:1px solid #e4e1d8;border-radius:10px;padding:12px 14px"><div style="font-size:24px;font-weight:800;color:#171d29;line-height:1.2">55</div><div style="font-size:13px;color:#5b6472;line-height:1.4;margin-top:4px">P&S marks across the three papers (of 255 subject marks)</div></div><div style="flex:1 1 140px;background:#fbfaf6;border:1px solid #e4e1d8;border-radius:10px;padding:12px 14px"><div style="font-size:24px;font-weight:800;color:#171d29;line-height:1.2">34</div><div style="font-size:13px;color:#5b6472;line-height:1.4;margin-top:4px">P&S questions, 2024–2026</div></div><div style="flex:1 1 140px;background:#fbfaf6;border:1px solid #e4e1d8;border-radius:10px;padding:12px 14px"><div style="font-size:24px;font-weight:800;color:#171d29;line-height:1.2">14</div><div style="font-size:13px;color:#5b6472;line-height:1.4;margin-top:4px">of them numerical-answer — you compute, no options</div></div><div style="flex:1 1 140px;background:#fbfaf6;border:1px solid #e4e1d8;border-radius:10px;padding:12px 14px"><div style="font-size:24px;font-weight:800;color:#171d29;line-height:1.2">21</div><div style="font-size:13px;color:#5b6472;line-height:1.4;margin-top:4px">marks in 2026 — the most for any section that year, by our count</div></div></div>

<figure style="background:#ffffff;color:#303846;border:1px solid #e4e1d8;border-radius:12px;padding:18px 20px;margin:18px 0;margin:18px 0"><figcaption style="margin:0 0 10px;font-size:17px;font-weight:700;color:#171d29">How Probability & Statistics was asked</figcaption><div style="margin:0 0 8px"><span style="display:inline-flex;align-items:center;gap:6px;margin:0 14px 6px 0;font-size:13px;color:#303846"><span style="width:12px;height:12px;border-radius:3px;background:#1f7a45;display:inline-block"></span>MCQ</span><span style="display:inline-flex;align-items:center;gap:6px;margin:0 14px 6px 0;font-size:13px;color:#303846"><span style="width:12px;height:12px;border-radius:3px;background:#2f6fb0;display:inline-block"></span>MSQ</span><span style="display:inline-flex;align-items:center;gap:6px;margin:0 14px 6px 0;font-size:13px;color:#303846"><span style="width:12px;height:12px;border-radius:3px;background:#b7791f;display:inline-block"></span>NAT</span></div><div style="margin:0 0 10px"><div style="font-size:14px;color:#303846;margin:0 0 4px">2024 (9 questions, 15 marks)</div><div style="display:flex;height:22px;border-radius:6px;overflow:hidden"><div style="width:33.33%;background:#1f7a45;color:rgb(255,255,255);font-size:12px;font-weight:700;text-align:center;line-height:22px;overflow:hidden;white-space:nowrap">3</div><div style="width:66.67%;background:#b7791f;color:rgb(255,255,255);font-size:12px;font-weight:700;text-align:center;line-height:22px;overflow:hidden;white-space:nowrap">6</div></div></div><div style="margin:0 0 10px"><div style="font-size:14px;color:#303846;margin:0 0 4px">2025 (12 questions, 19 marks)</div><div style="display:flex;height:22px;border-radius:6px;overflow:hidden"><div style="width:75.00%;background:#1f7a45;color:rgb(255,255,255);font-size:12px;font-weight:700;text-align:center;line-height:22px;overflow:hidden;white-space:nowrap">9</div><div style="width:8.33%;background:#2f6fb0;color:rgb(255,255,255);font-size:12px;font-weight:700;text-align:center;line-height:22px;overflow:hidden;white-space:nowrap">1</div><div style="width:16.67%;background:#b7791f;color:rgb(255,255,255);font-size:12px;font-weight:700;text-align:center;line-height:22px;overflow:hidden;white-space:nowrap">2</div></div></div><div style="margin:0 0 10px"><div style="font-size:14px;color:#303846;margin:0 0 4px">2026 (13 questions, 21 marks)</div><div style="display:flex;height:22px;border-radius:6px;overflow:hidden"><div style="width:30.77%;background:#1f7a45;color:rgb(255,255,255);font-size:12px;font-weight:700;text-align:center;line-height:22px;overflow:hidden;white-space:nowrap">4</div><div style="width:23.08%;background:#2f6fb0;color:rgb(255,255,255);font-size:12px;font-weight:700;text-align:center;line-height:22px;overflow:hidden;white-space:nowrap">3</div><div style="width:46.15%;background:#b7791f;color:rgb(255,255,255);font-size:12px;font-weight:700;text-align:center;line-height:22px;overflow:hidden;white-space:nowrap">6</div></div></div><p style="margin:12px 0 0;font-size:13px;color:#5b6472">From the official answer keys, classified by us. 2024: 3 MCQ, 0 MSQ, 6 NAT; 2025: 9 MCQ, 1 MSQ, 2 NAT; 2026: 4 MCQ, 3 MSQ, 6 NAT.</p></figure>

Marks per section in the three papers, from our question-by-question classification — the basis for calling P&S the heaviest section. The method and the judgement calls are in our weightage guide.

The official syllabus, grouped the way it is examined

<p style="margin:0 0 16px;line-height:1.7">Links to all three official papers and keys are in <a href="/hub/gate-da-previous-year-papers-with-answer-keys" style="color:#255a45;font-weight:600">GATE DA previous year papers</a>. Themes that came back more than once: Bayes numericals (2024 Q58, 2025 Q31, 2026 Q57); the exponential distribution — parameter and tail (2024 Q57; 2025 Q21), memorylessness (2026 Q34) and its link to the geometric (2025 Q41); conditional expectation (2024 Q59, 2025 Q11); CDFs (2025 Q19, Q39; 2026 Q54); covariance and correlation (2024 Q65, 2026 Q63); the CLT (2025 Q40, 2026 Q45); counting (2026 Q19, Q20, Q33).</p>

<div style="background:#ffffff;color:#303846;border:1px solid #e4e1d8;border-radius:12px;padding:18px 20px;margin:18px 0"><h3 style="margin:0 0 10px;font-size:17px;font-weight:700;color:#171d29">Five identities that do most of the work</h3><ul style="margin:0;padding-left:20px"><li style="margin:6px 0;line-height:1.6"><strong>Bayes:</strong> P(A|B) = P(B|A)P(A) / P(B), with P(B) from the law of total probability.</li><li style="margin:6px 0;line-height:1.6"><strong>Total expectation:</strong> E[X] = E[E[X|Y]]; <strong>total variance:</strong> Var(X) = E[Var(X|Y)] + Var(E[X|Y]).</li><li style="margin:6px 0;line-height:1.6"><strong>Variance of a sum:</strong> Var(X+Y) = Var X + Var Y + 2Cov(X,Y); Cov(X,Y) = ρσₓσᵧ.</li><li style="margin:6px 0;line-height:1.6"><strong>Memorylessness:</strong> for exponential T, P(T > s+t | T > s) = P(T > t).</li><li style="margin:6px 0;line-height:1.6"><strong>CLT:</strong> the mean of n i.i.d. variables with mean μ and s.d. σ is approximately Normal(μ, σ²/n) for large n.</li></ul></div>

Two habits make these formulas pay off in the exam. Identify the distribution from the story before touching numbers — "time until the next arrival" is exponential, "number of arrivals in an hour" is Poisson, "successes in n independent trials" is binomial. And check every answer against the obvious bounds: a probability between 0 and 1, a variance that is never negative, a correlation between −1 and 1.

Each is in the style of a GATE numerical-answer question, built to use one idea from the tables above. Try each before reading the answer.

<div style="background:#ffffff;color:#303846;border:1px solid #e4e1d8;border-radius:12px;padding:18px 20px;margin:18px 0"><h3 style="margin:0 0 10px;font-size:17px;font-weight:700;color:#171d29">1. Bayes</h3><ul style="margin:0;padding-left:20px"><li style="margin:6px 0;line-height:1.6">A disease affects 1% of a population. A test detects it 95% of the time and gives a false positive 5% of the time. If a person tests positive, what is the probability they have the disease?</li><li style="margin:6px 0;line-height:1.6">P(D|+) = (0.95 × 0.01) / (0.95 × 0.01 + 0.05 × 0.99) = 0.0095 / 0.0590 = <strong>0.161</strong>. Most positives are false because the disease is rare.</li></ul></div>

<div style="background:#ffffff;color:#303846;border:1px solid #e4e1d8;border-radius:12px;padding:18px 20px;margin:18px 0"><h3 style="margin:0 0 10px;font-size:17px;font-weight:700;color:#171d29">2. Memorylessness</h3><ul style="margin:0;padding-left:20px"><li style="margin:6px 0;line-height:1.6">A component's lifetime is exponential with mean 10 hours. It has already run 5 hours. What is the probability it runs more than 10 further hours?</li><li style="margin:6px 0;line-height:1.6">P(T > 15 | T > 5) = P(T > 10) = e^(−10/10) = e^(−1) = <strong>0.368</strong>. The 5 hours already run are irrelevant.</li></ul></div>

<div style="background:#ffffff;color:#303846;border:1px solid #e4e1d8;border-radius:12px;padding:18px 20px;margin:18px 0"><h3 style="margin:0 0 10px;font-size:17px;font-weight:700;color:#171d29">3. Binomial</h3><ul style="margin:0;padding-left:20px"><li style="margin:6px 0;line-height:1.6">A fair coin is tossed 10 times. Probability of exactly 3 heads?</li><li style="margin:6px 0;line-height:1.6">C(10,3)/2¹⁰ = 120/1024 = <strong>0.117</strong>.</li></ul></div>

<div style="background:#ffffff;color:#303846;border:1px solid #e4e1d8;border-radius:12px;padding:18px 20px;margin:18px 0"><h3 style="margin:0 0 10px;font-size:17px;font-weight:700;color:#171d29">4. Poisson</h3><ul style="margin:0;padding-left:20px"><li style="margin:6px 0;line-height:1.6">Requests arrive at 2 per hour on average (Poisson). Probability of none in an hour, and of at least 2?</li><li style="margin:6px 0;line-height:1.6">P(0) = e^(−2) = <strong>0.135</strong>. P(≥2) = 1 − e^(−2)(1 + 2) = <strong>0.594</strong>.</li></ul></div>

<div style="background:#ffffff;color:#303846;border:1px solid #e4e1d8;border-radius:12px;padding:18px 20px;margin:18px 0"><h3 style="margin:0 0 10px;font-size:17px;font-weight:700;color:#171d29">5. Law of total expectation</h3><ul style="margin:0;padding-left:20px"><li style="margin:6px 0;line-height:1.6">Roll a fair die. If it is even, toss two fair coins; if odd, toss one. Expected number of heads?</li><li style="margin:6px 0;line-height:1.6">E = ½ × 1 + ½ × ½ = <strong>0.75</strong>.</li></ul></div>

<div style="background:#ffffff;color:#303846;border:1px solid #e4e1d8;border-radius:12px;padding:18px 20px;margin:18px 0"><h3 style="margin:0 0 10px;font-size:17px;font-weight:700;color:#171d29">6. Variance of a sum</h3><ul style="margin:0;padding-left:20px"><li style="margin:6px 0;line-height:1.6">Var(X) = 4, Var(Y) = 9, correlation 0.5. Find Var(X + Y).</li><li style="margin:6px 0;line-height:1.6">Cov = 0.5 × 2 × 3 = 3, so Var(X+Y) = 4 + 9 + 2 × 3 = <strong>19</strong>.</li></ul></div>

<div style="background:#ffffff;color:#303846;border:1px solid #e4e1d8;border-radius:12px;padding:18px 20px;margin:18px 0"><h3 style="margin:0 0 10px;font-size:17px;font-weight:700;color:#171d29">7. CLT and a confidence interval</h3><ul style="margin:0;padding-left:20px"><li style="margin:6px 0;line-height:1.6">A sample of 36 from a population with σ = 6 has mean 20. Give the 95% confidence interval for μ; and if the population mean were 50 with σ = 10, what is P(mean of 100 draws > 52)?</li><li style="margin:6px 0;line-height:1.6">Standard error = 6/√36 = 1, so 20 ± 1.96 = <strong>(18.04, 21.96)</strong>. For the second, the sample mean ~ Normal(50, 1), so P(X̄ > 52) = P(Z > 2) = <strong>0.023</strong>.</li></ul><p style="margin:12px 0 0;font-size:13px;color:#5b6472">Illustrative questions written for this guide, not taken from a GATE paper.</p></div>

Where probability reappears in other sections

The marks above are only the questions filed under Section 1. Probability does a lot of quiet work elsewhere in the paper, which is why its effective weight is higher than its own count.

In practice this means the order of study matters: finish conditional probability, Bayes and covariance before you start naive Bayes, LDA or PCA, and the machine-learning section becomes largely an application of what you already know rather than a new subject.

<div style="background:#ffffff;color:#303846;border:1px solid #e4e1d8;border-radius:12px;padding:18px 20px;margin:18px 0" id="dapstrack"><h3 style="margin:0 0 10px;font-size:17px;font-weight:700;color:#171d29">Probability & Statistics topic tracker</h3><p style="margin:0 0 12px;line-height:1.6">Tick a topic once you can solve its past-paper questions unaided. Saved in this browser.</p><div style="background:#f1eee6;border-radius:6px;height:12px;overflow:hidden;margin:0 0 6px"><div id="dapstrack-bar" style="width:0%;height:12px;background:#1f7a45"></div></div><p id="dapstrack-txt" style="margin:0 0 14px;font-size:13px;color:#5b6472">0 of 20 done</p><div style="margin:0 0 12px" data-g="0"><div style="font-weight:700;color:#171d29;margin:0 0 6px">Probability <span data-gc="0" style="font-weight:600;color:#5b6472;font-size:13px">(0/4)</span></div><label style="display:flex;gap:8px;align-items:flex-start;margin:0 0 6px;font-size:14px;line-height:1.5;color:#303846;cursor:pointer"><input type="checkbox" data-i="0" style="margin-top:4px;width:16px;height:16px;flex:0 0 auto"> <span>Counting</span></label><label style="display:flex;gap:8px;align-items:flex-start;margin:0 0 6px;font-size:14px;line-height:1.5;color:#303846;cursor:pointer"><input type="checkbox" data-i="1" style="margin-top:4px;width:16px;height:16px;flex:0 0 auto"> <span>Axioms, events, independence</span></label><label style="display:flex;gap:8px;align-items:flex-start;margin:0 0 6px;font-size:14px;line-height:1.5;color:#303846;cursor:pointer"><input type="checkbox" data-i="2" style="margin-top:4px;width:16px;height:16px;flex:0 0 auto"> <span>Marginal, conditional and joint probability</span></label><label style="display:flex;gap:8px;align-items:flex-start;margin:0 0 6px;font-size:14px;line-height:1.5;color:#303846;cursor:pointer"><input type="checkbox" data-i="3" style="margin-top:4px;width:16px;height:16px;flex:0 0 auto"> <span>Bayes theorem</span></label></div><div style="margin:0 0 12px" data-g="1"><div style="font-weight:700;color:#171d29;margin:0 0 6px">Descriptive statistics <span data-gc="1" style="font-weight:600;color:#5b6472;font-size:13px">(0/1)</span></div><label style="display:flex;gap:8px;align-items:flex-start;margin:0 0 6px;font-size:14px;line-height:1.5;color:#303846;cursor:pointer"><input type="checkbox" data-i="4" style="margin-top:4px;width:16px;height:16px;flex:0 0 auto"> <span>Mean, median, mode, standard deviation</span></label></div><div style="margin:0 0 12px" data-g="2"><div style="font-weight:700;color:#171d29;margin:0 0 6px">Random variables <span data-gc="2" style="font-weight:600;color:#5b6472;font-size:13px">(0/5)</span></div><label style="display:flex;gap:8px;align-items:flex-start;margin:0 0 6px;font-size:14px;line-height:1.5;color:#303846;cursor:pointer"><input type="checkbox" data-i="5" style="margin-top:4px;width:16px;height:16px;flex:0 0 auto"> <span>Discrete RVs and PMFs</span></label><label style="display:flex;gap:8px;align-items:flex-start;margin:0 0 6px;font-size:14px;line-height:1.5;color:#303846;cursor:pointer"><input type="checkbox" data-i="6" style="margin-top:4px;width:16px;height:16px;flex:0 0 auto"> <span>Continuous RVs, PDFs and CDFs</span></label><label style="display:flex;gap:8px;align-items:flex-start;margin:0 0 6px;font-size:14px;line-height:1.5;color:#303846;cursor:pointer"><input type="checkbox" data-i="7" style="margin-top:4px;width:16px;height:16px;flex:0 0 auto"> <span>Conditional PDF</span></label><label style="display:flex;gap:8px;align-items:flex-start;margin:0 0 6px;font-size:14px;line-height:1.5;color:#303846;cursor:pointer"><input type="checkbox" data-i="8" style="margin-top:4px;width:16px;height:16px;flex:0 0 auto"> <span>Conditional expectation and variance</span></label><label style="display:flex;gap:8px;align-items:flex-start;margin:0 0 6px;font-size:14px;line-height:1.5;color:#303846;cursor:pointer"><input type="checkbox" data-i="9" style="margin-top:4px;width:16px;height:16px;flex:0 0 auto"> <span>Covariance and correlation</span></label></div><div style="margin:0 0 12px" data-g="3"><div style="font-weight:700;color:#171d29;margin:0 0 6px">Distributions <span data-gc="3" style="font-weight:600;color:#5b6472;font-size:13px">(0/6)</span></div><label style="display:flex;gap:8px;align-items:flex-start;margin:0 0 6px;font-size:14px;line-height:1.5;color:#303846;cursor:pointer"><input type="checkbox" data-i="10" style="margin-top:4px;width:16px;height:16px;flex:0 0 auto"> <span>Bernoulli and binomial</span></label><label style="display:flex;gap:8px;align-items:flex-start;margin:0 0 6px;font-size:14px;line-height:1.5;color:#303846;cursor:pointer"><input type="checkbox" data-i="11" style="margin-top:4px;width:16px;height:16px;flex:0 0 auto"> <span>Poisson</span></label><label style="display:flex;gap:8px;align-items:flex-start;margin:0 0 6px;font-size:14px;line-height:1.5;color:#303846;cursor:pointer"><input type="checkbox" data-i="12" style="margin-top:4px;width:16px;height:16px;flex:0 0 auto"> <span>Uniform</span></label><label style="display:flex;gap:8px;align-items:flex-start;margin:0 0 6px;font-size:14px;line-height:1.5;color:#303846;cursor:pointer"><input type="checkbox" data-i="13" style="margin-top:4px;width:16px;height:16px;flex:0 0 auto"> <span>Exponential and memorylessness</span></label><label style="display:flex;gap:8px;align-items:flex-start;margin:0 0 6px;font-size:14px;line-height:1.5;color:#303846;cursor:pointer"><input type="checkbox" data-i="14" style="margin-top:4px;width:16px;height:16px;flex:0 0 auto"> <span>Normal and standard normal</span></label><label style="display:flex;gap:8px;align-items:flex-start;margin:0 0 6px;font-size:14px;line-height:1.5;color:#303846;cursor:pointer"><input type="checkbox" data-i="15" style="margin-top:4px;width:16px;height:16px;flex:0 0 auto"> <span>t and chi-squared</span></label></div><div style="margin:0 0 12px" data-g="4"><div style="font-weight:700;color:#171d29;margin:0 0 6px">Inference <span data-gc="4" style="font-weight:600;color:#5b6472;font-size:13px">(0/4)</span></div><label style="display:flex;gap:8px;align-items:flex-start;margin:0 0 6px;font-size:14px;line-height:1.5;color:#303846;cursor:pointer"><input type="checkbox" data-i="16" style="margin-top:4px;width:16px;height:16px;flex:0 0 auto"> <span>Central limit theorem</span></label><label style="display:flex;gap:8px;align-items:flex-start;margin:0 0 6px;font-size:14px;line-height:1.5;color:#303846;cursor:pointer"><input type="checkbox" data-i="17" style="margin-top:4px;width:16px;height:16px;flex:0 0 auto"> <span>Confidence intervals</span></label><label style="display:flex;gap:8px;align-items:flex-start;margin:0 0 6px;font-size:14px;line-height:1.5;color:#303846;cursor:pointer"><input type="checkbox" data-i="18" style="margin-top:4px;width:16px;height:16px;flex:0 0 auto"> <span>z-test and t-test</span></label><label style="display:flex;gap:8px;align-items:flex-start;margin:0 0 6px;font-size:14px;line-height:1.5;color:#303846;cursor:pointer"><input type="checkbox" data-i="19" style="margin-top:4px;width:16px;height:16px;flex:0 0 auto"> <span>Chi-squared test</span></label></div><p style="margin:12px 0 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Probability is best learned in short daily sets: through October, five to ten past-paper P&S questions a day — the 34 in the three official papers first — covers the section twice before November.

<div style="background:#ecf7ef;color:#1f3a2a;border:1px solid #b9dec6;border-radius:12px;padding:18px 20px;margin:22px 0"><p style="margin:0 0 8px;font-size:12px;font-weight:700;letter-spacing:.08em;text-transform:uppercase;color:#1f7a45">Practise it, don't just read it</p><p style="margin:0 0 12px;font-size:16px;line-height:1.6;color:#171d29">There is no probability quiz in the library yet; use it for the linear-algebra and neural-network topics that build on this section.</p><p style="margin:0 0 12px;line-height:1.6">The ProSyllabus GATE DA library currently has three topic quizzes: <strong>Matrix Rank and Inverse</strong> (Section 2, Linear Algebra), <strong>Backpropagation in Neural Networks</strong> (Section 6, multi-layer perceptrons) and <strong>Gradient Descent Variants</strong> (optimisation practice for Machine Learning — the syllabus names no gradient methods, though a 2026 question applied an SGD update). Each has ten questions and a worked explanation for every option. Probability, programming and DBMS have no quizzes yet — drill those from the section index of the official papers.</p><p style="margin:0"><a href="/exam/gate-da/practice-quiz" style="display:inline-block;background:#ffffff;color:#1f7a45;border:2px solid #1f7a45;padding:9px 18px;border-radius:8px;text-decoration:none;font-weight:700">Start a GATE DA quiz →</a></p></div>

<div style="background:#ffffff;color:#303846;border:1px solid #e4e1d8;border-radius:12px;padding:18px 20px;margin:18px 0"><h3 style="margin:0 0 10px;font-size:17px;font-weight:700;color:#171d29">More in this series</h3><ul style="margin:0;padding-left:20px"><li style="margin:6px 0;line-height:1.6"><a href="/hub/gate-da-topic-wise-weightage-2024-2026" style="color:#255a45">GATE DA topic-wise weightage, counted from 2024–2026 papers</a></li><li style="margin:6px 0;line-height:1.6"><a href="/hub/gate-da-marks-vs-score-vs-rank-calculator" style="color:#255a45">GATE DA marks vs score vs rank, with calculator</a></li><li style="margin:6px 0;line-height:1.6"><a href="/hub/gate-da-previous-year-papers-with-answer-keys" style="color:#255a45">GATE DA previous year papers 2024–2026, with answer keys</a></li><li style="margin:6px 0;line-height:1.6"><a href="/hub/gate-da-vs-gate-cs-which-paper-to-write" style="color:#255a45">GATE DA or GATE CS — which paper, and writing both</a></li><li style="margin:6px 0;line-height:1.6"><a href="/hub/gate-da-2027-preparation-plan-october-to-february" style="color:#255a45">GATE DA 2027 week-by-week plan, October to February</a></li><li style="margin:6px 0;line-height:1.6"><a href="/hub/gate-da-for-non-cs-students" style="color:#255a45">GATE DA without a CS degree</a></li><li style="margin:6px 0;line-height:1.6"><a href="/hub/gate-da-cutoff-rank-iit-placements" style="color:#255a45">GATE DA cutoffs, rank vs IIT and placements</a></li><li style="margin:6px 0;line-height:1.6"><a href="/hub/exam-alert-and-updates-for-gate-da" style="color:#255a45">GATE DA notice board — official updates</a></li></ul></div>

<div style="background:#ffffff;color:#303846;border:1px solid #e4e1d8;border-radius:12px;padding:18px 20px;margin:18px 0"><h3 style="margin:0 0 10px;font-size:17px;font-weight:700;color:#171d29">Sources</h3><ul style="margin:0;padding-left:20px"><li style="margin:6px 0;line-height:1.6"><span style="color:#1f7a45;font-weight:700">official</span> — <a href="https://gate2027.iitm.ac.in/static/doc/GATE2027_Syllabus/DA_GATE2027_Syllabus.pdf" rel="nofollow noopener" style="color:#255a45">GATE 2027 DA syllabus (IIT Madras)</a></li><li style="margin:6px 0;line-height:1.6"><span style="color:#1f7a45;font-weight:700">official</span> — <a href="https://gate2027.iitm.ac.in/static/doc/download/2024/DA24S1.pdf" rel="nofollow noopener" style="color:#255a45">GATE 2024 DA question paper (IISc)</a></li><li style="margin:6px 0;line-height:1.6"><span style="color:#1f7a45;font-weight:700">official</span> — <a href="https://gate2027.iitm.ac.in/static/doc/download/2024/DAFinalAnswerKey.pdf" rel="nofollow noopener" style="color:#255a45">GATE 2024 DA final answer key</a></li><li style="margin:6px 0;line-height:1.6"><span style="color:#1f7a45;font-weight:700">official</span> — <a href="https://gate2027.iitm.ac.in/static/doc/download/2025/DA2025.pdf" rel="nofollow noopener" style="color:#255a45">GATE 2025 DA question paper (IIT Roorkee)</a></li><li style="margin:6px 0;line-height:1.6"><span style="color:#1f7a45;font-weight:700">official</span> — <a href="https://gate2027.iitm.ac.in/static/doc/download/2025_Key/DA_Keys.pdf" rel="nofollow noopener" style="color:#255a45">GATE 2025 DA answer key</a></li><li style="margin:6px 0;line-height:1.6"><span style="color:#1f7a45;font-weight:700">official</span> — <a href="https://gate2027.iitm.ac.in/static/doc/download/2026/QPs/DA.pdf" rel="nofollow noopener" style="color:#255a45">GATE 2026 DA question paper (IIT Guwahati)</a></li><li style="margin:6px 0;line-height:1.6"><span style="color:#1f7a45;font-weight:700">official</span> — <a href="https://gate2027.iitm.ac.in/static/doc/download/2026/Keys/DA_Keys.pdf" rel="nofollow noopener" style="color:#255a45">GATE 2026 DA answer key</a></li></ul><p style="margin:12px 0 0;font-size:13px;color:#5b6472"><strong style="color:#1f7a45">official</strong> = a document published by the conducting body. <strong style="color:#8a5300">reported</strong> = a news or coaching site we could not check against an original. Where sources disagree this page says so rather than picking one.</p></div>

<a href="/exam/gate-da">This article has been published in GATE Data Science and Artificial Intelligence. Explore everything related to it here.</a>

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All Articles on page 15 

<div style="background:#eef3fb;color:#303846;border:1px solid #c9d7ee;border-radius:12px;padding:14px 18px;margin:0 0 18px"><p style="margin:0;font-size:14px;line-height:1.6"><strong style="color:#171d29">Checked 25 September 2026.</strong> Counts are from the three official DA papers and keys and will not change. They describe past papers — GATE publishes no official weightage, and the 2027 paper can differ.</p></div>

<p style="margin:0 0 16px;line-height:1.7">GATE Data Science and Artificial Intelligence (DA) has only been held three times — 2024, 2025 and 2026 — and GATE publishes no official weightage. So every "GATE DA weightage" table online is an estimate, and most of them do not say how they were made.</p>

<p style="margin:0 0 16px;line-height:1.7">We made ours the slow way. We took the three official question papers and answer keys, placed <strong>every one of the 165 subject questions</strong> into one of the seven sections of the official syllabus, and added up the marks from the key. This page shows the result, the handful of questions that could reasonably go in two sections, and what the pattern means for the 2027 paper.</p>

<div style="background:#fff8e8;color:#3a3020;border:1px solid #f0d9a8;border-left:4px solid #b7791f;border-radius:12px;padding:18px 20px;margin:18px 0"><p style="margin:0 0 8px;font-size:12px;font-weight:700;letter-spacing:.08em;text-transform:uppercase;color:#b7791f">Where other pages get this wrong</p><p style="margin:0 0 10px;font-size:17px;font-weight:700;color:#171d29;line-height:1.5">Programming and DBMS carry far more marks than most weightage tables admit.</p><p style="margin:0 0 8px;line-height:1.6"><strong style="color:#8a5300">Commonly published instead:</strong> Weightage tables — including an older page on this site — that put Programming at 10–12% and leave DBMS & Warehousing out altogether.</p><p style="margin:0;line-height:1.6">In the official papers, Programming, Data Structures and Algorithms carried 20, 14 and 14 of the 85 subject marks (16–24%). DBMS & Warehousing rose from 7 marks in 2024 to 11 in 2025 and 18 in 2026 — more than Machine Learning that year. A plan that treats DBMS as a minor topic is planning for a paper that no longer exists.</p></div>

<div style="display:flex;flex-wrap:wrap;gap:10px;margin:18px 0"><div style="flex:1 1 140px;background:#fbfaf6;border:1px solid #e4e1d8;border-radius:10px;padding:12px 14px"><div style="font-size:24px;font-weight:800;color:#171d29;line-height:1.2">165</div><div style="font-size:13px;color:#5b6472;line-height:1.4;margin-top:4px">subject questions classified (55 per paper)</div></div><div style="flex:1 1 140px;background:#fbfaf6;border:1px solid #e4e1d8;border-radius:10px;padding:12px 14px"><div style="font-size:24px;font-weight:800;color:#171d29;line-height:1.2">255</div><div style="font-size:13px;color:#5b6472;line-height:1.4;margin-top:4px">subject marks across the three papers (85 each)</div></div><div style="flex:1 1 140px;background:#fbfaf6;border:1px solid #e4e1d8;border-radius:10px;padding:12px 14px"><div style="font-size:24px;font-weight:800;color:#171d29;line-height:1.2">55</div><div style="font-size:13px;color:#5b6472;line-height:1.4;margin-top:4px">marks from Probability & Statistics — the largest section</div></div><div style="flex:1 1 140px;background:#fbfaf6;border:1px solid #e4e1d8;border-radius:10px;padding:12px 14px"><div style="font-size:24px;font-weight:800;color:#171d29;line-height:1.2">7 → 18</div><div style="font-size:13px;color:#5b6472;line-height:1.4;margin-top:4px">DBMS & Warehousing marks, 2024 → 2026</div></div></div>

Every GATE DA paper has 65 questions for 100 marks in 3 hours. The first 10 questions are General Aptitude (15 marks: five 1-mark and five 2-mark MCQs). The remaining 55 are the DA subject, for 85 marks. There is no separate engineering-mathematics part — probability, linear algebra and calculus are sections of the DA syllabus itself.

Inside the subject part, MCQs fell every year (27, 25, 23) while numerical-answer questions went 16, 12, 18. MSQ and NAT questions carry no negative marking, so in 2026 32 of the 55 subject questions could be attempted without losing marks for a wrong answer — though an MSQ scores only with exactly the right set of options and a NAT only with a value in the accepted range, so a wrong attempt still earns nothing and costs time.

<figure style="background:#ffffff;color:#303846;border:1px solid #e4e1d8;border-radius:12px;padding:18px 20px;margin:18px 0;margin:18px 0"><figcaption style="margin:0 0 10px;font-size:17px;font-weight:700;color:#171d29">Where the 85 subject marks came from, each year</figcaption><div style="margin:0 0 8px"><span style="display:inline-flex;align-items:center;gap:6px;margin:0 14px 6px 0;font-size:13px;color:#303846"><span style="width:12px;height:12px;border-radius:3px;background:#1f7a45;display:inline-block"></span>Probability & Statistics</span><span style="display:inline-flex;align-items:center;gap:6px;margin:0 14px 6px 0;font-size:13px;color:#303846"><span style="width:12px;height:12px;border-radius:3px;background:#2f6fb0;display:inline-block"></span>Programming, DS & Algorithms</span><span style="display:inline-flex;align-items:center;gap:6px;margin:0 14px 6px 0;font-size:13px;color:#303846"><span style="width:12px;height:12px;border-radius:3px;background:#b7791f;display:inline-block"></span>Machine Learning</span><span style="display:inline-flex;align-items:center;gap:6px;margin:0 14px 6px 0;font-size:13px;color:#303846"><span style="width:12px;height:12px;border-radius:3px;background:#8e3b8e;display:inline-block"></span>DBMS & Warehousing</span><span style="display:inline-flex;align-items:center;gap:6px;margin:0 14px 6px 0;font-size:13px;color:#303846"><span style="width:12px;height:12px;border-radius:3px;background:#c2553a;display:inline-block"></span>Linear Algebra</span><span style="display:inline-flex;align-items:center;gap:6px;margin:0 14px 6px 0;font-size:13px;color:#303846"><span style="width:12px;height:12px;border-radius:3px;background:#2a8f8f;display:inline-block"></span>AI (search, logic, uncertainty)</span><span style="display:inline-flex;align-items:center;gap:6px;margin:0 14px 6px 0;font-size:13px;color:#303846"><span style="width:12px;height:12px;border-radius:3px;background:#6b6f2a;display:inline-block"></span>Calculus & Optimization</span></div><div style="margin:0 0 10px"><div style="font-size:14px;color:#303846;margin:0 0 4px">GATE 2024</div><div style="display:flex;height:22px;border-radius:6px;overflow:hidden"><div style="width:17.65%;background:#1f7a45;color:rgb(255,255,255);font-size:12px;font-weight:700;text-align:center;line-height:22px;overflow:hidden;white-space:nowrap">15</div><div style="width:23.53%;background:#2f6fb0;color:rgb(255,255,255);font-size:12px;font-weight:700;text-align:center;line-height:22px;overflow:hidden;white-space:nowrap">20</div><div style="width:17.65%;background:#b7791f;color:rgb(255,255,255);font-size:12px;font-weight:700;text-align:center;line-height:22px;overflow:hidden;white-space:nowrap">15</div><div style="width:8.24%;background:#8e3b8e;color:rgb(255,255,255);font-size:12px;font-weight:700;text-align:center;line-height:22px;overflow:hidden;white-space:nowrap">7</div><div style="width:11.76%;background:#c2553a;color:rgb(255,255,255);font-size:12px;font-weight:700;text-align:center;line-height:22px;overflow:hidden;white-space:nowrap">10</div><div style="width:11.76%;background:#2a8f8f;color:rgb(255,255,255);font-size:12px;font-weight:700;text-align:center;line-height:22px;overflow:hidden;white-space:nowrap">10</div><div style="width:9.41%;background:#6b6f2a;color:rgb(255,255,255);font-size:12px;font-weight:700;text-align:center;line-height:22px;overflow:hidden;white-space:nowrap">8</div></div></div><div style="margin:0 0 10px"><div style="font-size:14px;color:#303846;margin:0 0 4px">GATE 2025</div><div style="display:flex;height:22px;border-radius:6px;overflow:hidden"><div style="width:22.35%;background:#1f7a45;color:rgb(255,255,255);font-size:12px;font-weight:700;text-align:center;line-height:22px;overflow:hidden;white-space:nowrap">19</div><div style="width:16.47%;background:#2f6fb0;color:rgb(255,255,255);font-size:12px;font-weight:700;text-align:center;line-height:22px;overflow:hidden;white-space:nowrap">14</div><div style="width:14.12%;background:#b7791f;color:rgb(255,255,255);font-size:12px;font-weight:700;text-align:center;line-height:22px;overflow:hidden;white-space:nowrap">12</div><div style="width:12.94%;background:#8e3b8e;color:rgb(255,255,255);font-size:12px;font-weight:700;text-align:center;line-height:22px;overflow:hidden;white-space:nowrap">11</div><div style="width:14.12%;background:#c2553a;color:rgb(255,255,255);font-size:12px;font-weight:700;text-align:center;line-height:22px;overflow:hidden;white-space:nowrap">12</div><div style="width:7.06%;background:#2a8f8f;color:rgb(255,255,255);font-size:12px;font-weight:700;text-align:center;line-height:22px;overflow:hidden;white-space:nowrap">6</div><div style="width:12.94%;background:#6b6f2a;color:rgb(255,255,255);font-size:12px;font-weight:700;text-align:center;line-height:22px;overflow:hidden;white-space:nowrap">11</div></div></div><div style="margin:0 0 10px"><div style="font-size:14px;color:#303846;margin:0 0 4px">GATE 2026</div><div style="display:flex;height:22px;border-radius:6px;overflow:hidden"><div style="width:24.71%;background:#1f7a45;color:rgb(255,255,255);font-size:12px;font-weight:700;text-align:center;line-height:22px;overflow:hidden;white-space:nowrap">21</div><div style="width:16.47%;background:#2f6fb0;color:rgb(255,255,255);font-size:12px;font-weight:700;text-align:center;line-height:22px;overflow:hidden;white-space:nowrap">14</div><div style="width:15.29%;background:#b7791f;color:rgb(255,255,255);font-size:12px;font-weight:700;text-align:center;line-height:22px;overflow:hidden;white-space:nowrap">13</div><div style="width:21.18%;background:#8e3b8e;color:rgb(255,255,255);font-size:12px;font-weight:700;text-align:center;line-height:22px;overflow:hidden;white-space:nowrap">18</div><div style="width:9.41%;background:#c2553a;color:rgb(255,255,255);font-size:12px;font-weight:700;text-align:center;line-height:22px;overflow:hidden;white-space:nowrap">8</div><div style="width:9.41%;background:#2a8f8f;color:rgb(255,255,255);font-size:12px;font-weight:700;text-align:center;line-height:22px;overflow:hidden;white-space:nowrap">8</div><div style="width:3.53%;background:#6b6f2a;color:rgb(255,255,255);font-size:12px;font-weight:700;text-align:center;line-height:22px;overflow:hidden;white-space:nowrap">3</div></div></div><p style="margin:12px 0 0;font-size:13px;color:#5b6472">Marks from the official answer keys, classified by us question by question. Each bar is 85 marks.</p></figure>

<figure style="background:#ffffff;color:#303846;border:1px solid #e4e1d8;border-radius:12px;padding:18px 20px;margin:18px 0;margin:18px 0"><figcaption style="margin:0 0 10px;font-size:17px;font-weight:700;color:#171d29">Three-year total marks by section (of 255 subject marks)</figcaption><div style="margin:0 0 10px"><div style="display:flex;justify-content:space-between;gap:10px;font-size:14px;line-height:1.4;margin:0 0 4px"><span style="color:#303846">Probability & Statistics</span><strong style="color:#171d29;white-space:nowrap">55 marks · 21.6%</strong></div><div style="background:#f1eee6;border-radius:6px;height:12px;overflow:hidden"><div style="width:100.0%;height:12px;background:#1f7a45;border-radius:6px"></div></div></div><div style="margin:0 0 10px"><div style="display:flex;justify-content:space-between;gap:10px;font-size:14px;line-height:1.4;margin:0 0 4px"><span style="color:#303846">Programming, DS & Algorithms</span><strong style="color:#171d29;white-space:nowrap">48 marks · 18.8%</strong></div><div style="background:#f1eee6;border-radius:6px;height:12px;overflow:hidden"><div style="width:87.3%;height:12px;background:#2f6fb0;border-radius:6px"></div></div></div><div style="margin:0 0 10px"><div style="display:flex;justify-content:space-between;gap:10px;font-size:14px;line-height:1.4;margin:0 0 4px"><span style="color:#303846">Machine Learning</span><strong style="color:#171d29;white-space:nowrap">40 marks · 15.7%</strong></div><div style="background:#f1eee6;border-radius:6px;height:12px;overflow:hidden"><div style="width:72.7%;height:12px;background:#b7791f;border-radius:6px"></div></div></div><div style="margin:0 0 10px"><div style="display:flex;justify-content:space-between;gap:10px;font-size:14px;line-height:1.4;margin:0 0 4px"><span style="color:#303846">DBMS & Warehousing</span><strong style="color:#171d29;white-space:nowrap">36 marks · 14.1%</strong></div><div style="background:#f1eee6;border-radius:6px;height:12px;overflow:hidden"><div style="width:65.5%;height:12px;background:#8e3b8e;border-radius:6px"></div></div></div><div style="margin:0 0 10px"><div style="display:flex;justify-content:space-between;gap:10px;font-size:14px;line-height:1.4;margin:0 0 4px"><span style="color:#303846">Linear Algebra</span><strong style="color:#171d29;white-space:nowrap">30 marks · 11.8%</strong></div><div style="background:#f1eee6;border-radius:6px;height:12px;overflow:hidden"><div style="width:54.5%;height:12px;background:#c2553a;border-radius:6px"></div></div></div><div style="margin:0 0 10px"><div style="display:flex;justify-content:space-between;gap:10px;font-size:14px;line-height:1.4;margin:0 0 4px"><span style="color:#303846">AI (search, logic, uncertainty)</span><strong style="color:#171d29;white-space:nowrap">24 marks · 9.4%</strong></div><div style="background:#f1eee6;border-radius:6px;height:12px;overflow:hidden"><div style="width:43.6%;height:12px;background:#2a8f8f;border-radius:6px"></div></div></div><div style="margin:0 0 10px"><div style="display:flex;justify-content:space-between;gap:10px;font-size:14px;line-height:1.4;margin:0 0 4px"><span style="color:#303846">Calculus & Optimization</span><strong style="color:#171d29;white-space:nowrap">22 marks · 8.6%</strong></div><div style="background:#f1eee6;border-radius:6px;height:12px;overflow:hidden"><div style="width:40.0%;height:12px;background:#6b6f2a;border-radius:6px"></div></div></div></figure>

<div style="background:#ffffff;color:#303846;border:1px solid #e4e1d8;border-radius:12px;padding:18px 20px;margin:18px 0"><h3 style="margin:0 0 10px;font-size:17px;font-weight:700;color:#171d29">Four patterns worth planning around</h3><ul style="margin:0;padding-left:20px"><li style="margin:6px 0;line-height:1.6"><strong>Probability & Statistics is the largest section and growing:</strong> 15 → 19 → 21 marks. It is also the section that feeds Machine Learning and AI (Bayes, conditional independence), so its effective weight is higher still.</li><li style="margin:6px 0;line-height:1.6"><strong>DBMS & Warehousing is the fastest riser:</strong> 7 → 11 → 18 marks. SQL output, relational algebra, functional dependencies and normal forms, B+ trees and OLAP cubes all appeared.</li><li style="margin:6px 0;line-height:1.6"><strong>Programming is big and steady:</strong> 20 → 14 → 14 marks, most of it Python output-tracing, sorting, binary search and graph traversal — very learnable.</li><li style="margin:6px 0;line-height:1.6"><strong>Calculus is the most volatile:</strong> 8 → 11 → 3 marks. Do not skip it, but do not over-invest either.</li></ul><p style="margin:12px 0 0;font-size:13px;color:#5b6472">Three papers is a small sample. These are tendencies, not promises about 2027.</p></div>

<div style="background:#fff8e8;color:#3a3020;border:1px solid #f0d9a8;border-left:4px solid #b7791f;border-radius:12px;padding:18px 20px;margin:18px 0"><p style="margin:0 0 8px;font-size:12px;font-weight:700;letter-spacing:.08em;text-transform:uppercase;color:#b7791f">Where other pages get this wrong</p><p style="margin:0 0 10px;font-size:17px;font-weight:700;color:#171d29;line-height:1.5">Linear Algebra is not a fixed 15% of the paper.</p><p style="margin:0 0 8px;line-height:1.6"><strong style="color:#8a5300">Commonly published instead:</strong> "Linear Algebra: 15%" as a standing rule.</p><p style="margin:0;line-height:1.6">It carried 10, 12 and 8 of 85 marks — between 9% and 14%. And several linear-algebra ideas were examined inside Machine Learning questions (PCA, principal components, least squares), which we counted as ML. Learn eigenvalues, SVD and projections thoroughly; their marks show up under more than one heading.</p></div>

These are themes we saw in more than one paper. The year and question number are given so you can find each one in the official PDFs.

<div style="background:#ffffff;color:#303846;border:1px solid #e4e1d8;border-radius:12px;padding:18px 20px;margin:18px 0" id="dathemes"><h3 style="margin:0 0 10px;font-size:17px;font-weight:700;color:#171d29">GATE DA recurring-themes checklist</h3><p style="margin:0 0 12px;line-height:1.6">Tick a theme once you can solve its past questions without looking at the key. Saved in this browser.</p><div style="background:#f1eee6;border-radius:6px;height:12px;overflow:hidden;margin:0 0 6px"><div id="dathemes-bar" style="width:0%;height:12px;background:#1f7a45"></div></div><p id="dathemes-txt" style="margin:0 0 14px;font-size:13px;color:#5b6472">0 of 37 done</p><div style="margin:0 0 12px" data-g="0"><div style="font-weight:700;color:#171d29;margin:0 0 6px">Probability & Statistics <span data-gc="0" style="font-weight:600;color:#5b6472;font-size:13px">(0/6)</span></div><label style="display:flex;gap:8px;align-items:flex-start;margin:0 0 6px;font-size:14px;line-height:1.5;color:#303846;cursor:pointer"><input type="checkbox" data-i="0" style="margin-top:4px;width:16px;height:16px;flex:0 0 auto"> <span>Bayes theorem numericals</span></label><label style="display:flex;gap:8px;align-items:flex-start;margin:0 0 6px;font-size:14px;line-height:1.5;color:#303846;cursor:pointer"><input type="checkbox" data-i="1" style="margin-top:4px;width:16px;height:16px;flex:0 0 auto"> <span>Exponential distribution (parameter, tail, memorylessness)</span></label><label style="display:flex;gap:8px;align-items:flex-start;margin:0 0 6px;font-size:14px;line-height:1.5;color:#303846;cursor:pointer"><input type="checkbox" data-i="2" style="margin-top:4px;width:16px;height:16px;flex:0 0 auto"> <span>Conditional expectation and variance</span></label><label style="display:flex;gap:8px;align-items:flex-start;margin:0 0 6px;font-size:14px;line-height:1.5;color:#303846;cursor:pointer"><input type="checkbox" data-i="3" style="margin-top:4px;width:16px;height:16px;flex:0 0 auto"> <span>CDF / PDF questions</span></label><label style="display:flex;gap:8px;align-items:flex-start;margin:0 0 6px;font-size:14px;line-height:1.5;color:#303846;cursor:pointer"><input type="checkbox" data-i="4" style="margin-top:4px;width:16px;height:16px;flex:0 0 auto"> <span>Covariance and correlation</span></label><label style="display:flex;gap:8px;align-items:flex-start;margin:0 0 6px;font-size:14px;line-height:1.5;color:#303846;cursor:pointer"><input type="checkbox" data-i="5" style="margin-top:4px;width:16px;height:16px;flex:0 0 auto"> <span>Central limit theorem</span></label></div><div style="margin:0 0 12px" data-g="1"><div style="font-weight:700;color:#171d29;margin:0 0 6px">Linear Algebra <span data-gc="1" style="font-weight:600;color:#5b6472;font-size:13px">(0/5)</span></div><label style="display:flex;gap:8px;align-items:flex-start;margin:0 0 6px;font-size:14px;line-height:1.5;color:#303846;cursor:pointer"><input type="checkbox" data-i="6" style="margin-top:4px;width:16px;height:16px;flex:0 0 auto"> <span>Eigenvalues and eigenvectors</span></label><label style="display:flex;gap:8px;align-items:flex-start;margin:0 0 6px;font-size:14px;line-height:1.5;color:#303846;cursor:pointer"><input type="checkbox" data-i="7" style="margin-top:4px;width:16px;height:16px;flex:0 0 auto"> <span>Singular values / SVD</span></label><label style="display:flex;gap:8px;align-items:flex-start;margin:0 0 6px;font-size:14px;line-height:1.5;color:#303846;cursor:pointer"><input type="checkbox" data-i="8" style="margin-top:4px;width:16px;height:16px;flex:0 0 auto"> <span>Projection matrices</span></label><label style="display:flex;gap:8px;align-items:flex-start;margin:0 0 6px;font-size:14px;line-height:1.5;color:#303846;cursor:pointer"><input type="checkbox" data-i="9" style="margin-top:4px;width:16px;height:16px;flex:0 0 auto"> <span>Subspaces, rank, number of solutions</span></label><label style="display:flex;gap:8px;align-items:flex-start;margin:0 0 6px;font-size:14px;line-height:1.5;color:#303846;cursor:pointer"><input type="checkbox" data-i="10" style="margin-top:4px;width:16px;height:16px;flex:0 0 auto"> <span>Matrix powers</span></label></div><div style="margin:0 0 12px" data-g="2"><div style="font-weight:700;color:#171d29;margin:0 0 6px">Calculus & Optimization <span data-gc="2" style="font-weight:600;color:#5b6472;font-size:13px">(0/3)</span></div><label style="display:flex;gap:8px;align-items:flex-start;margin:0 0 6px;font-size:14px;line-height:1.5;color:#303846;cursor:pointer"><input type="checkbox" data-i="11" style="margin-top:4px;width:16px;height:16px;flex:0 0 auto"> <span>Maxima and minima of a single variable</span></label><label style="display:flex;gap:8px;align-items:flex-start;margin:0 0 6px;font-size:14px;line-height:1.5;color:#303846;cursor:pointer"><input type="checkbox" data-i="12" style="margin-top:4px;width:16px;height:16px;flex:0 0 auto"> <span>Second-derivative tests</span></label><label style="display:flex;gap:8px;align-items:flex-start;margin:0 0 6px;font-size:14px;line-height:1.5;color:#303846;cursor:pointer"><input type="checkbox" data-i="13" style="margin-top:4px;width:16px;height:16px;flex:0 0 auto"> <span>Limits, continuity, differentiability</span></label></div><div style="margin:0 0 12px" data-g="3"><div style="font-weight:700;color:#171d29;margin:0 0 6px">Programming, DS & Algorithms <span data-gc="3" style="font-weight:600;color:#5b6472;font-size:13px">(0/7)</span></div><label style="display:flex;gap:8px;align-items:flex-start;margin:0 0 6px;font-size:14px;line-height:1.5;color:#303846;cursor:pointer"><input type="checkbox" data-i="14" style="margin-top:4px;width:16px;height:16px;flex:0 0 auto"> <span>Python output tracing</span></label><label style="display:flex;gap:8px;align-items:flex-start;margin:0 0 6px;font-size:14px;line-height:1.5;color:#303846;cursor:pointer"><input type="checkbox" data-i="15" style="margin-top:4px;width:16px;height:16px;flex:0 0 auto"> <span>Sorting algorithms and their passes</span></label><label style="display:flex;gap:8px;align-items:flex-start;margin:0 0 6px;font-size:14px;line-height:1.5;color:#303846;cursor:pointer"><input type="checkbox" data-i="16" style="margin-top:4px;width:16px;height:16px;flex:0 0 auto"> <span>Binary search edge cases</span></label><label style="display:flex;gap:8px;align-items:flex-start;margin:0 0 6px;font-size:14px;line-height:1.5;color:#303846;cursor:pointer"><input type="checkbox" data-i="17" style="margin-top:4px;width:16px;height:16px;flex:0 0 auto"> <span>BFS/DFS traversal</span></label><label style="display:flex;gap:8px;align-items:flex-start;margin:0 0 6px;font-size:14px;line-height:1.5;color:#303846;cursor:pointer"><input type="checkbox" data-i="18" style="margin-top:4px;width:16px;height:16px;flex:0 0 auto"> <span>Tree traversals</span></label><label style="display:flex;gap:8px;align-items:flex-start;margin:0 0 6px;font-size:14px;line-height:1.5;color:#303846;cursor:pointer"><input type="checkbox" data-i="19" style="margin-top:4px;width:16px;height:16px;flex:0 0 auto"> <span>Stacks, queues, deques</span></label><label style="display:flex;gap:8px;align-items:flex-start;margin:0 0 6px;font-size:14px;line-height:1.5;color:#303846;cursor:pointer"><input type="checkbox" data-i="20" style="margin-top:4px;width:16px;height:16px;flex:0 0 auto"> <span>Hashing</span></label></div><div style="margin:0 0 12px" data-g="4"><div style="font-weight:700;color:#171d29;margin:0 0 6px">DBMS & Warehousing <span data-gc="4" style="font-weight:600;color:#5b6472;font-size:13px">(0/5)</span></div><label style="display:flex;gap:8px;align-items:flex-start;margin:0 0 6px;font-size:14px;line-height:1.5;color:#303846;cursor:pointer"><input type="checkbox" data-i="21" style="margin-top:4px;width:16px;height:16px;flex:0 0 auto"> <span>SQL query output</span></label><label style="display:flex;gap:8px;align-items:flex-start;margin:0 0 6px;font-size:14px;line-height:1.5;color:#303846;cursor:pointer"><input type="checkbox" data-i="22" style="margin-top:4px;width:16px;height:16px;flex:0 0 auto"> <span>Relational algebra</span></label><label style="display:flex;gap:8px;align-items:flex-start;margin:0 0 6px;font-size:14px;line-height:1.5;color:#303846;cursor:pointer"><input type="checkbox" data-i="23" style="margin-top:4px;width:16px;height:16px;flex:0 0 auto"> <span>Functional dependencies, keys, normal forms</span></label><label style="display:flex;gap:8px;align-items:flex-start;margin:0 0 6px;font-size:14px;line-height:1.5;color:#303846;cursor:pointer"><input type="checkbox" data-i="24" style="margin-top:4px;width:16px;height:16px;flex:0 0 auto"> <span>OLAP cubes and cuboids</span></label><label style="display:flex;gap:8px;align-items:flex-start;margin:0 0 6px;font-size:14px;line-height:1.5;color:#303846;cursor:pointer"><input type="checkbox" data-i="25" style="margin-top:4px;width:16px;height:16px;flex:0 0 auto"> <span>B+ trees and indexing</span></label></div><div style="margin:0 0 12px" data-g="5"><div style="font-weight:700;color:#171d29;margin:0 0 6px">Machine Learning <span data-gc="5" style="font-weight:600;color:#5b6472;font-size:13px">(0/6)</span></div><label style="display:flex;gap:8px;align-items:flex-start;margin:0 0 6px;font-size:14px;line-height:1.5;color:#303846;cursor:pointer"><input type="checkbox" data-i="26" style="margin-top:4px;width:16px;height:16px;flex:0 0 auto"> <span>Naive Bayes</span></label><label style="display:flex;gap:8px;align-items:flex-start;margin:0 0 6px;font-size:14px;line-height:1.5;color:#303846;cursor:pointer"><input type="checkbox" data-i="27" style="margin-top:4px;width:16px;height:16px;flex:0 0 auto"> <span>SVM margin and support vectors</span></label><label style="display:flex;gap:8px;align-items:flex-start;margin:0 0 6px;font-size:14px;line-height:1.5;color:#303846;cursor:pointer"><input type="checkbox" data-i="28" style="margin-top:4px;width:16px;height:16px;flex:0 0 auto"> <span>Neural-network parameter counts, activations</span></label><label style="display:flex;gap:8px;align-items:flex-start;margin:0 0 6px;font-size:14px;line-height:1.5;color:#303846;cursor:pointer"><input type="checkbox" data-i="29" style="margin-top:4px;width:16px;height:16px;flex:0 0 auto"> <span>Hierarchical clustering linkages</span></label><label style="display:flex;gap:8px;align-items:flex-start;margin:0 0 6px;font-size:14px;line-height:1.5;color:#303846;cursor:pointer"><input type="checkbox" data-i="30" style="margin-top:4px;width:16px;height:16px;flex:0 0 auto"> <span>PCA</span></label><label style="display:flex;gap:8px;align-items:flex-start;margin:0 0 6px;font-size:14px;line-height:1.5;color:#303846;cursor:pointer"><input type="checkbox" data-i="31" style="margin-top:4px;width:16px;height:16px;flex:0 0 auto"> <span>Linear and ridge regression</span></label></div><div style="margin:0 0 12px" data-g="6"><div style="font-weight:700;color:#171d29;margin:0 0 6px">AI <span data-gc="6" style="font-weight:600;color:#5b6472;font-size:13px">(0/5)</span></div><label style="display:flex;gap:8px;align-items:flex-start;margin:0 0 6px;font-size:14px;line-height:1.5;color:#303846;cursor:pointer"><input type="checkbox" data-i="32" style="margin-top:4px;width:16px;height:16px;flex:0 0 auto"> <span>Minimax and alpha–beta pruning</span></label><label style="display:flex;gap:8px;align-items:flex-start;margin:0 0 6px;font-size:14px;line-height:1.5;color:#303846;cursor:pointer"><input type="checkbox" data-i="33" style="margin-top:4px;width:16px;height:16px;flex:0 0 auto"> <span>A* and admissible heuristics</span></label><label style="display:flex;gap:8px;align-items:flex-start;margin:0 0 6px;font-size:14px;line-height:1.5;color:#303846;cursor:pointer"><input type="checkbox" data-i="34" style="margin-top:4px;width:16px;height:16px;flex:0 0 auto"> <span>Propositional logic</span></label><label style="display:flex;gap:8px;align-items:flex-start;margin:0 0 6px;font-size:14px;line-height:1.5;color:#303846;cursor:pointer"><input type="checkbox" data-i="35" style="margin-top:4px;width:16px;height:16px;flex:0 0 auto"> <span>First-order logic</span></label><label style="display:flex;gap:8px;align-items:flex-start;margin:0 0 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How we classified — and where it was a judgement call

Each question was placed in the one section whose syllabus text best describes what it tests. Most were unambiguous. The ones below could be argued either way; we list our choice so you can re-count if you disagree. Moving all of them would change no section by more than a few marks.

Priority here means the order in which to make a section solid, not permission to skip the bottom of the list. On our classification every section carried at least three marks in every paper — Calculus in 2026 only just (Q27, Q29, Q35; if the SGD question Q29 were filed under ML, it would be two). The cheapest marks are often in the smallest sections, because their syllabus is short.

<div style="background:#ecf7ef;color:#1f3a2a;border:1px solid #b9dec6;border-radius:12px;padding:18px 20px;margin:22px 0"><p style="margin:0 0 8px;font-size:12px;font-weight:700;letter-spacing:.08em;text-transform:uppercase;color:#1f7a45">Practise it, don't just read it</p><p style="margin:0 0 12px;font-size:16px;line-height:1.6;color:#171d29">Weightage tells you where the marks are. A topic quiz tells you whether they are yours yet.</p><p style="margin:0 0 12px;line-height:1.6">The ProSyllabus GATE DA library currently has three topic quizzes: <strong>Matrix Rank and Inverse</strong> (Section 2, Linear Algebra), <strong>Backpropagation in Neural Networks</strong> (Section 6, multi-layer perceptrons) and <strong>Gradient Descent Variants</strong> (optimisation practice for Machine Learning — the syllabus names no gradient methods, though a 2026 question applied an SGD update). Each has ten questions and a worked explanation for every option. Probability, programming and DBMS have no quizzes yet — drill those from the section index of the official papers.</p><p style="margin:0"><a href="/exam/gate-da/practice-quiz" style="display:inline-block;background:#ffffff;color:#1f7a45;border:2px solid #1f7a45;padding:9px 18px;border-radius:8px;text-decoration:none;font-weight:700">Start a GATE DA quiz →</a></p></div>

<div style="background:#ffffff;color:#303846;border:1px solid #e4e1d8;border-radius:12px;padding:18px 20px;margin:18px 0"><h3 style="margin:0 0 10px;font-size:17px;font-weight:700;color:#171d29">More in this series</h3><ul style="margin:0;padding-left:20px"><li style="margin:6px 0;line-height:1.6"><a href="/hub/gate-da-marks-vs-score-vs-rank-calculator" style="color:#255a45">GATE DA marks vs score vs rank, with calculator</a></li><li style="margin:6px 0;line-height:1.6"><a href="/hub/gate-da-previous-year-papers-with-answer-keys" style="color:#255a45">GATE DA previous year papers 2024–2026, with answer keys</a></li><li style="margin:6px 0;line-height:1.6"><a href="/hub/gate-da-vs-gate-cs-which-paper-to-write" style="color:#255a45">GATE DA or GATE CS — which paper, and writing both</a></li><li style="margin:6px 0;line-height:1.6"><a href="/hub/gate-da-2027-preparation-plan-october-to-february" style="color:#255a45">GATE DA 2027 week-by-week plan, October to February</a></li><li style="margin:6px 0;line-height:1.6"><a href="/hub/gate-da-for-non-cs-students" style="color:#255a45">GATE DA without a CS degree</a></li><li style="margin:6px 0;line-height:1.6"><a href="/hub/gate-da-probability-and-statistics-complete-guide" style="color:#255a45">Probability &amp; Statistics for GATE DA — the heaviest section</a></li><li style="margin:6px 0;line-height:1.6"><a href="/hub/gate-da-cutoff-rank-iit-placements" style="color:#255a45">GATE DA cutoffs, rank vs IIT and placements</a></li><li style="margin:6px 0;line-height:1.6"><a href="/hub/exam-alert-and-updates-for-gate-da" style="color:#255a45">GATE DA notice board — official updates</a></li></ul></div>

<div style="background:#ffffff;color:#303846;border:1px solid #e4e1d8;border-radius:12px;padding:18px 20px;margin:18px 0"><h3 style="margin:0 0 10px;font-size:17px;font-weight:700;color:#171d29">Sources</h3><ul style="margin:0;padding-left:20px"><li style="margin:6px 0;line-height:1.6"><span style="color:#1f7a45;font-weight:700">official</span> — <a href="https://gate2027.iitm.ac.in/static/doc/download/2024/DA24S1.pdf" rel="nofollow noopener" style="color:#255a45">GATE 2024 DA question paper (IISc)</a></li><li style="margin:6px 0;line-height:1.6"><span style="color:#1f7a45;font-weight:700">official</span> — <a href="https://gate2027.iitm.ac.in/static/doc/download/2024/DAFinalAnswerKey.pdf" rel="nofollow noopener" style="color:#255a45">GATE 2024 DA final answer key</a></li><li style="margin:6px 0;line-height:1.6"><span style="color:#1f7a45;font-weight:700">official</span> — <a href="https://gate2027.iitm.ac.in/static/doc/download/2025/DA2025.pdf" rel="nofollow noopener" style="color:#255a45">GATE 2025 DA question paper (IIT Roorkee)</a></li><li style="margin:6px 0;line-height:1.6"><span style="color:#1f7a45;font-weight:700">official</span> — <a href="https://gate2027.iitm.ac.in/static/doc/download/2025_Key/DA_Keys.pdf" rel="nofollow noopener" style="color:#255a45">GATE 2025 DA answer key</a></li><li style="margin:6px 0;line-height:1.6"><span style="color:#1f7a45;font-weight:700">official</span> — <a href="https://gate2027.iitm.ac.in/static/doc/download/2026/QPs/DA.pdf" rel="nofollow noopener" style="color:#255a45">GATE 2026 DA question paper (IIT Guwahati)</a></li><li style="margin:6px 0;line-height:1.6"><span style="color:#1f7a45;font-weight:700">official</span> — <a href="https://gate2027.iitm.ac.in/static/doc/download/2026/Keys/DA_Keys.pdf" rel="nofollow noopener" style="color:#255a45">GATE 2026 DA answer key</a></li><li style="margin:6px 0;line-height:1.6"><span style="color:#1f7a45;font-weight:700">official</span> — <a href="https://gate2027.iitm.ac.in/static/doc/GATE2027_Syllabus/DA_GATE2027_Syllabus.pdf" rel="nofollow noopener" style="color:#255a45">GATE 2027 DA syllabus (IIT Madras)</a></li><li style="margin:6px 0;line-height:1.6"><span style="color:#1f7a45;font-weight:700">official</span> — <a href="https://gate2026.iitg.ac.in/doc/GATE2026_Syllabus/DA_2026_Syllabus.pdf" rel="nofollow noopener" style="color:#255a45">GATE 2026 DA syllabus (IIT Guwahati)</a></li></ul><p style="margin:12px 0 0;font-size:13px;color:#5b6472"><strong style="color:#1f7a45">official</strong> = a document published by the conducting body. <strong style="color:#8a5300">reported</strong> = a news or coaching site we could not check against an original. Where sources disagree this page says so rather than picking one.</p></div>

Every GATE Data Science & AI question from 2024, 2025 and 2026 classified into the seven syllabus sections — marks per section, the trend, recurring question themes, and what it means for 2027.