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        <header style="border-bottom: 2px solid #e2e8f0; padding-bottom: 1.5rem; margin-bottom: 2rem;">
          <h1 style="font-size: 2rem; font-weight: 800; color: #1e3a8a; margin: 0 0 0.5rem 0;">GATE AE Prep Portal | Aerospace Engineering Practice &amp; PYQ CBT</h1>
          <p style="font-size: 1.1rem; color: #475569; margin: 0;">The premier full-stack, offline-capable platform for <strong>GATE Aerospace Engineering (AE) Preparation</strong> (also searched as <em>GATE AE Prep</em>, <em>GATE AE Study</em>). Complete preparation toolkit for aerospace engineering aspirants.</p>
        </header>

        <section style="margin-bottom: 2rem;">
          <h2 style="font-size: 1.4rem; font-weight: 700; color: #0f172a; margin-bottom: 0.75rem;">Key Examination &amp; Preparation Resources</h2>
          <ul style="padding-left: 1.5rem; margin-bottom: 1rem;">
            <li style="margin-bottom: 0.5rem;"><strong>1,300 Official GATE AE AE PYQs (2007–2026)</strong>: Completely verified with official master answer keys and detailed mathematical step-by-step solutions.</li>
            <li style="margin-bottom: 0.5rem;"><strong>41 Full-Length CBT Mock Tests</strong>: Exact replica of the official 65-question / 100-mark 3-hour GATE AE examination with General Aptitude (Q1–10) and Technical Sections (Q11–65).</li>
            <li style="margin-bottom: 0.5rem;"><strong>Comprehensive 8-Section Formula Sheet</strong>: Instant KaTeX-rendered equations covering Aerodynamics, Flight Mechanics, Propulsion, Aircraft Structures, and Space Dynamics.</li>
            <li style="margin-bottom: 0.5rem;"><strong>181 Subtopic GATE AE Syllabus Tracker</strong>: Historical multi-year weightage heatmap and topic-level mastery metrics.</li>
            <li style="margin-bottom: 0.5rem;"><strong>Interactive Aerospace Simulation Lab</strong>: Hands-on hydraulic jump, psychrometrics, Darcy soil water flow, and tractor weight transfer simulators.</li>
            <li style="margin-bottom: 0.5rem;"><strong>Offline-Ready PWA</strong>: 100% offline functionality with client-side caching and IndexedDB data persistence.</li>
          </ul>
        </section>

        <section style="margin-bottom: 2rem;">
          <h2 style="font-size: 1.4rem; font-weight: 700; color: #0f172a; margin-bottom: 0.75rem;">Official GATE Aerospace Engineering Examination Pattern</h2>
          <table style="width: 100%; border-collapse: collapse; margin-top: 0.5rem; font-size: 0.95rem;">
            <thead>
              <tr style="background-color: #f1f5f9; text-align: left;">
                <th style="padding: 0.75rem; border: 1px solid #cbd5e1;">Section</th>
                <th style="padding: 0.75rem; border: 1px solid #cbd5e1;">Questions</th>
                <th style="padding: 0.75rem; border: 1px solid #cbd5e1;">Marks</th>
                <th style="padding: 0.75rem; border: 1px solid #cbd5e1;">Question Types</th>
                <th style="padding: 0.75rem; border: 1px solid #cbd5e1;">Negative Marking</th>
              </tr>
            </thead>
            <tbody>
              <tr>
                <td style="padding: 0.75rem; border: 1px solid #cbd5e1;">General Aptitude (GA)</td>
                <td style="padding: 0.75rem; border: 1px solid #cbd5e1;">Q1 – Q10 (10 Qs)</td>
                <td style="padding: 0.75rem; border: 1px solid #cbd5e1;">15 Marks</td>
                <td style="padding: 0.75rem; border: 1px solid #cbd5e1;">MCQ, MSQ, NAT</td>
                <td style="padding: 0.75rem; border: 1px solid #cbd5e1;">MCQ: -1/3 (1M), -2/3 (2M); MSQ &amp; NAT: Nil</td>
              </tr>
              <tr style="background-color: #f8fafc;">
                <td style="padding: 0.75rem; border: 1px solid #cbd5e1;">Technical (Aerospace Core &amp; Maths)</td>
                <td style="padding: 0.75rem; border: 1px solid #cbd5e1;">Q11 – Q65 (55 Qs)</td>
                <td style="padding: 0.75rem; border: 1px solid #cbd5e1;">85 Marks</td>
                <td style="padding: 0.75rem; border: 1px solid #cbd5e1;">MCQ, MSQ, NAT</td>
                <td style="padding: 0.75rem; border: 1px solid #cbd5e1;">MCQ: -1/3 (1M), -2/3 (2M); MSQ &amp; NAT: Nil</td>
              </tr>
              <tr style="font-weight: 700;">
                <td style="padding: 0.75rem; border: 1px solid #cbd5e1;">Total</td>
                <td style="padding: 0.75rem; border: 1px solid #cbd5e1;">65 Questions</td>
                <td style="padding: 0.75rem; border: 1px solid #cbd5e1;">100 Marks</td>
                <td style="padding: 0.75rem; border: 1px solid #cbd5e1;">Duration: 180 Mins</td>
                <td style="padding: 0.75rem; border: 1px solid #cbd5e1;">TCS-iON CBT Engine</td>
              </tr>
            </tbody>
          </table>
        </section>

        <section style="margin-bottom: 2rem;">
          <h2 style="font-size: 1.4rem; font-weight: 700; color: #0f172a; margin-bottom: 0.75rem;">Frequently Asked Questions (FAQs)</h2>
          <details style="margin-bottom: 0.75rem; padding: 0.75rem; background-color: #f8fafc; border-radius: 8px; border: 1px solid #e2e8f0;">
            <summary style="font-weight: 600; cursor: pointer; color: #1e3a8a;">What is the syllabus for GATE Aerospace Engineering?</summary>
            <p style="margin-top: 0.5rem; margin-bottom: 0;">The GATE AE syllabus spans Aerodynamics &amp; Gas Dynamics, Flight Mechanics, Propulsion, Aerospace Structures, Space Dynamics, and Engineering Mathematics, in addition to General Aptitude.</p>
          </details>
          <details style="margin-bottom: 0.75rem; padding: 0.75rem; background-color: #f8fafc; border-radius: 8px; border: 1px solid #e2e8f0;">
            <summary style="font-weight: 600; cursor: pointer; color: #1e3a8a;">Is there negative marking for MSQ and NAT questions?</summary>
            <p style="margin-top: 0.5rem; margin-bottom: 0;">No. There is strictly NO negative marking for Multiple Select Questions (MSQ) or Numerical Answer Type (NAT) questions. Negative marking (-1/3 for 1-mark and -2/3 for 2-mark) applies solely to Multiple Choice Questions (MCQ).</p>
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          <details style="margin-bottom: 0.75rem; padding: 0.75rem; background-color: #f8fafc; border-radius: 8px; border: 1px solid #e2e8f0;">
            <summary style="font-weight: 600; cursor: pointer; color: #1e3a8a;">How can I access full-length mock tests offline?</summary>
            <p style="margin-top: 0.5rem; margin-bottom: 0;">Simply install the Progressive Web App (PWA) onto your device or keep the portal open in your browser; all 41 full-length mock tests and 1,300 PYQs are cached locally for offline study.</p>
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