Nsat-Prep/math.html at main · DYHARDx/Nsat-Prep · GitHub

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<!DOCTYPE html>
<html lang="en">
<head>
    <meta charset="UTF-8">
    <meta name="viewport" content="width=device-width, initial-scale=1.0">
    <title>NSAT Exam Preparation</title>
    <link href="https://fonts.googleapis.com/css2?family=Inter:wght@400;500;600&display=swap" rel="stylesheet">
    <style>
        :root {
            --primary: #6366f1;
            --primary-light: #a5b4fc;
            --dark: #1e293b;
            --light: #f8fafc;
            --gray: #94a3b8;
            --gray-light: #e2e8f0;
            --accent: #f59e0b;
        }

        body {
            font-family: 'Inter', sans-serif;
            margin: 0;
            padding: 20px;
            background: linear-gradient(135deg, #f5f7fa 0%, #c3cfe2 100%);
            min-height: 100vh;
        }

        .container {
            max-width: 800px;
            margin: 0 auto;
            background-color: white;
            border-radius: 16px;
            box-shadow: 0 10px 30px rgba(0, 0, 0, 0.08);
            padding: 30px;
        }

        h1 {
            color: var(--primary);
            text-align: center;
            margin-bottom: 25px;
        }

        .important-topics {
            background-color: rgba(99, 102, 241, 0.1);
            padding: 20px;
            border-radius: 12px;
            margin-bottom: 30px;
        }

        .important-topics h2 {
            color: var(--primary);
            margin-top: 0;
            font-size: 20px;
        }

        .important-topics ol {
            padding-left: 20px;
        }

        .important-topics li {
            margin-bottom: 8px;
            font-weight: 500;
        }

        .question {
            background-color: var(--light);
            padding: 20px;
            border-radius: 12px;
            margin-bottom: 20px;
            border-left: 4px solid var(--primary);
        }

        .question h3 {
            margin-top: 0;
            color: var(--dark);
            font-size: 18px;
        }

        .question p {
            margin-bottom: 15px;
            line-height: 1.6;
        }

        .date {
            font-size: 14px;
            color: var(--gray);
            margin-bottom: 10px;
            font-style: italic;
        }

        .footer {
            text-align: center;
            margin-top: 40px;
            color: var(--gray);
            font-size: 14px;
        }

        .footer a {
            color: var(--primary);
            text-decoration: none;
            font-weight: 600;
        }

        @media (max-width: 768px) {
            .container {
                padding: 20px;
            }

            .question {
                padding: 15px;
            }
        }
    </style>
</head>
<body>
    <div class="container">
        <h1>NSAT Exam Preparation</h1>

        <div class="important-topics">
            <h2>Important Mathematics Topics to Practice:</h2>
            <ol>
                <li>Probability</li>
                <li>Permutation & Combination</li>
                <li>Integration</li>
                <li>Calculus</li>
            </ol>
            <p><strong>Note:</strong> 80% of interview questions are based on Mathematics!</p>
        </div>

        <div class="question">
            <div class="date">13 Feb 25</div>
            <h3>Science Exhibition Problem</h3>
            <p>A science exhibition is being organized, and the organizers plan to set up four different exhibits. They have a collection of ten distinct projects and want to select two projects for display at each exhibit. Each exhibit must have a unique set of projects, meaning no two exhibits can have the same combination of projects.</p>
            <p><strong>a)</strong> How many different ways can the organizers select two projects out of ten for a single exhibit?</p>
            <p><strong>b)</strong> How many different sets of four unique exhibits can be created where each exhibit has two different projects?</p>
        </div>

        <div class="question">
            <div class="date">14 Feb 25</div>
            <h3>Arithmetic-Geometric Progression Problem</h3>
            <p>The 10th, 15th, and 25th terms of an arithmetic progression form three consecutive terms of a geometric progression. If the next term of the geometric progression is the nth term of the arithmetic progression, what is the value of n?</p>
        </div>

        <div class="question">
            <div class="date">14 Feb 25</div>
            <h3>Probability Problem</h3>
            <p>One in 100 students says that they like English. A randomly selected student has scored 100%. The probability of scoring 100% is 80% if the student likes English and 30% if the student does not like English. What is the approximate probability that a randomly selected student likes English, given that they scored 100%? Round your answer to two decimal places.</p>
        </div>

        <div class="question">
            <div class="date">14 Feb 25</div>
            <h3>Optimization Problem</h3>
            <p>A box with a square base and one open side is made from a rectangular sheet with an area of 108 square units. What is the approximate maximum volume of the box?</p>
        </div>

        <div class="question">
            <div class="date">14 Feb 25</div>
            <h3>Relative Motion Problem</h3>
            <p>Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds, respectively. They cross each other in 23 seconds. Find the lengths or speeds of the trains.</p>
        </div>

        <div class="question">
            <div class="date">13 Feb 25</div>
            <h3>Probability Selection Problem</h3>
            <p>A collection consists of 10 non-fiction books and 15 fiction books. Determine the number of comic books if the probability of selecting a fiction book is equal to the product of the probability of selecting a comic book and twice the probability of selecting a non-fiction book.</p>
        </div>

        <div class="footer">
            © 2025 BY <a href="https://www.youtube.com/@CodeXAmn" target="_blank">DYHARD</a> | Newton's School Of Technology
        </div>
    </div>
</body>
</html>