{
  "title": "Direct Proportion (Direct and Inverse Variation) - Grade 8 ICSE",
  "total_questions": 60,
  "questions": [
    {
      "id": 1,
      "difficulty": "easy",
      "question": "📈 If y ∝ x, then y = ___.",
      "options": { "A": "x + k", "B": "k/x", "C": "kx", "D": "x/k" },
      "correct_answer": "C"
    },
    {
      "id": 2,
      "difficulty": "easy",
      "question": "🍎 5 apples cost ₹50. Cost of 10 apples?",
      "options": { "A": "₹80", "B": "₹90", "C": "₹100", "D": "₹120" },
      "correct_answer": "C"
    },
    {
      "id": 3,
      "difficulty": "easy",
      "question": "📏 If 1 m = 100 cm, then 5 m = ___ cm.",
      "options": {
        "A": "400",
        "B": "200",
        "C": "500",
        "D": "600"
      },
      "correct_answer": "C"
    },
    {
      "id": 4,
      "difficulty": "easy",
      "question": "🚗 A car travels 60 km in 1 hour. In 3 hours, it travels ___ km.",
      "options": { "A": "120", "B": "150", "C": "180", "D": "200" },
      "correct_answer": "C"
    },
    {
      "id": 5,
      "difficulty": "easy",
      "question": "📦 If 2 boxes weigh 10 kg, 6 boxes weigh ___ kg.",
      "options": { "A": "20", "B": "25", "C": "30", "D": "35" },
      "correct_answer": "C"
    },
    {
      "id": 6,
      "difficulty": "easy",
      "question": "🖊️ 10 pens cost ₹200. Cost of 1 pen?",
      "options": {
        "A": "₹15",
        "B": "₹18",
        "C": "₹20",
        "D": "₹25"
      },
      "correct_answer": "C"
    },
    {
      "id": 7,
      "difficulty": "easy",
      "question": "📚 If 8 books cost ₹400, cost of 12 books?",
      "options": { "A": "₹500", "B": "₹550", "C": "₹600", "D": "₹650" },
      "correct_answer": "C"
    },
    {
      "id": 8,
      "difficulty": "easy",
      "question": "⏱️ A machine makes 5 toys in 10 minutes. In 30 minutes, toys made?",
      "options": { "A": "10", "B": "12", "C": "15", "D": "20" },
      "correct_answer": "C"
    },
    {
      "id": 9,
      "difficulty": "easy",
      "question": "💰 If ₹1 = $0.013, then ₹100 = $.",
      "options": {
        "A": "$1.3",
        "B": "$13",
        "C": "$0.13",
        "D": "$130"
      },
      "correct_answer": "A"
    },
    {
      "id": 10,
      "difficulty": "easy",
      "question": "📏 3 cm on map = 15 km actual. 6 cm on map = ___ km.",
      "options": { "A": "20", "B": "25", "C": "30", "D": "35" },
      "correct_answer": "C"
    },
    {
      "id": 11,
      "difficulty": "easy",
      "question": "🍕 2 pizzas serve 4 people. Pizzas needed for 12 people?",
      "options": { "A": "4", "B": "5", "C": "6", "D": "8" },
      "correct_answer": "C"
    },
    {
      "id": 12,
      "difficulty": "easy",
      "question": "📈 If y = 4 when x = 2, and y ∝ x, find y when x = 6.",
      "options": { "A": "8", "B": "10", "C": "12", "D": "14" },
      "correct_answer": "C"
    },
    {
      "id": 13,
      "difficulty": "easy",
      "question": "🚌 A bus uses 5 liters for 50 km. For 150 km, liters?",
      "options": { "A": "10", "B": "12", "C": "15", "D": "20" },
      "correct_answer": "C"
    },
    {
      "id": 14,
      "difficulty": "easy",
      "question": "🏗️ 5 workers build a wall in 10 days. 10 workers build in ___ days? (Careful! Is this direct proportion?)",
      "options": { "A": "5", "B": "10", "C": "15", "D": "20" },
      "correct_answer": "A"
    },
    {
      "id": 15,
      "difficulty": "easy",
      "question": "📦 Weight ∝ quantity. If 3 kg costs ₹150, 9 kg costs?",
      "options": {
        "A": "₹300",
        "B": "₹400",
        "C": "₹450",
        "D": "₹500"
      },
      "correct_answer": "C"
    },
    {
      "id": 16,
      "difficulty": "easy",
      "question": "🍫 12 chocolates cost ₹60. Cost of 20 chocolates?",
      "options": {
        "A": "₹80",
        "B": "₹90",
        "C": "₹100",
        "D": "₹120"
      },
      "correct_answer": "C"
    },
    {
      "id": 17,
      "difficulty": "easy",
      "question": "📏 A rope 8 m long weighs 2 kg. Weight of 24 m rope?",
      "options": {
        "A": "4 kg",
        "B": "5 kg",
        "C": "6 kg",
        "D": "8 kg"
      },
      "correct_answer": "C"
    },
    {
      "id": 18,
      "difficulty": "easy",
      "question": "⏳ 4 hours of work earns ₹800. Earnings for 7 hours?",
      "options": {
        "A": "₹1200",
        "B": "₹1300",
        "C": "₹1400",
        "D": "₹1500"
      },
      "correct_answer": "C"
    },
    {
      "id": 19,
      "difficulty": "easy",
      "question": "📐 If 1 inch = 2.54 cm, then 10 inches = ___ cm.",
      "options": {
        "A": "20.54",
        "B": "24.5",
        "C": "25.4",
        "D": "30.48"
      },
      "correct_answer": "C"
    },
    {
      "id": 20,
      "difficulty": "easy",
      "question": "🍎 y ∝ x. When x=5, y=15. Constant of proportionality k=?",
      "options": { "A": "1", "B": "2", "C": "3", "D": "4" },
      "correct_answer": "C"
    },

    {
      "id": 21,
      "difficulty": "medium",
      "question": "📈 If y ∝ x and y=24 when x=6, find y when x=15.",
      "options": { "A": "50", "B": "55", "C": "60", "D": "65" },
      "correct_answer": "C"
    },
    {
      "id": 22,
      "difficulty": "medium",
      "question": "🚗 A car's distance ∝ time. In 2.5 hours, it travels 150 km. In 4 hours, distance?",
      "options": { "A": "200 km", "B": "220 km", "C": "240 km", "D": "260 km" },
      "correct_answer": "C"
    },
    {
      "id": 23,
      "difficulty": "medium",
      "question": "🍕 Cost ∝ number of pizzas. 3 pizzas cost ₹900. How many for ₹2100?",
      "options": { "A": "5", "B": "6", "C": "7", "D": "8" },
      "correct_answer": "C"
    },
    {
      "id": 24,
      "difficulty": "medium",
      "question": "📦 Weight of books ∝ number of books. 8 books weigh 12 kg. Weight of 18 books?",
      "options": { "A": "24 kg", "B": "26 kg", "C": "27 kg", "D": "30 kg" },
      "correct_answer": "C"
    },
    {
      "id": 25,
      "difficulty": "medium",
      "question": "📐 On a map, 1 cm = 25 km. 8.5 cm apart means actual distance?",
      "options": {
        "A": "200 km",
        "B": "210 km",
        "C": "212.5 km",
        "D": "225 km"
      },
      "correct_answer": "C"
    },

    {
      "id": 26,
      "difficulty": "medium",
      "question": "⏱️ A machine fills 48 bottles in 6 minutes. Bottles filled in 25 minutes?",
      "options": { "A": "180", "B": "190", "C": "200", "D": "210" },
      "correct_answer": "C"
    },

    {
      "id": 27,
      "difficulty": "medium",
      "question": "💰 Exchange rate: $1 = ₹75. How many dollars for ₹1500?",
      "options": { "A": "$15", "B": "$18", "C": "$20", "D": "$22" },
      "correct_answer": "C"
    },
    {
      "id": 28,
      "difficulty": "medium",
      "question": "🍫 If 15 chocolates cost ₹375, cost of 35 chocolates?",
      "options": { "A": "₹825", "B": "₹850", "C": "₹875", "D": "₹900" },
      "correct_answer": "C"
    },
    {
      "id": 29,
      "difficulty": "medium",
      "question": "📈 y ∝ x. When x=7, y=28. Find x when y=52.",
      "options": {
        "A": "12",
        "B": "13",
        "C": "14",
        "D": "13.5"
      },
      "correct_answer": "B"
    },
    {
      "id": 30,
      "difficulty": "medium",
      "question": "🚌 A bus consumes 18 liters for 180 km. For 450 km, liters?",
      "options": { "A": "40", "B": "42", "C": "45", "D": "48" },
      "correct_answer": "C"
    },
    {
      "id": 31,
      "difficulty": "medium",
      "question": "🏗️ 6 workers earn ₹9000 in 5 days. Earnings for 8 workers in 5 days?",
      "options": {
        "A": "₹10,000",
        "B": "₹11,000",
        "C": "₹12,000",
        "D": "₹13,000"
      },
      "correct_answer": "C"
    },
    {
      "id": 32,
      "difficulty": "medium",
      "question": "📦 Cost of cloth ∝ length. 5 m costs ₹800. Length for ₹2000?",
      "options": { "A": "10.5 m", "B": "12 m", "C": "12.5 m", "D": "13 m" },
      "correct_answer": "C"
    },
    {
      "id": 33,
      "difficulty": "medium",
      "question": "⏳ A typist types 540 words in 9 minutes. Words in 25 minutes?",
      "options": { "A": "1400", "B": "1450", "C": "1500", "D": "1550" },
      "correct_answer": "C"
    },
    {
      "id": 34,
      "difficulty": "medium",
      "question": "🍎 If y ∝ x and y=4.5 when x=3, find y when x=11.",
      "options": { "A": "15.5", "B": "16", "C": "16.5", "D": "17" },
      "correct_answer": "C"
    },
    {
      "id": 35,
      "difficulty": "medium",
      "question": "📐 Scale: 2 cm = 9 km. Actual distance 45 km, map distance?",
      "options": { "A": "8 cm", "B": "9 cm", "C": "10 cm", "D": "12 cm" },
      "correct_answer": "C"
    },
    {
      "id": 36,
      "difficulty": "medium",
      "question": "💰 If ₹500 = $6.5, then ₹1500 = $.",
      "options": {
        "A": "$18.5",
        "B": "$19.5",
        "C": "$20.5",
        "D": "$21.5"
      },
      "correct_answer": "B"
    },
    {
      "id": 37,
      "difficulty": "medium",
      "question": "🚗 A car's speed constant. In 3 hours, 240 km. Distance in 5.5 hours?",
      "options": { "A": "400 km", "B": "420 km", "C": "440 km", "D": "460 km" },
      "correct_answer": "C"
    },
    {
      "id": 38,
      "difficulty": "medium",
      "question": "🍕 Direct proportion means as x increases, y ___.",
      "options": {
        "A": "decreases",
        "B": "increases",
        "C": "remains same",
        "D": "becomes zero"
      },
      "correct_answer": "B"
    },
    {
      "id": 39,
      "difficulty": "medium",
      "question": "📦 12 boxes weigh 30 kg. Weight of 28 boxes?",
      "options": { "A": "65 kg", "B": "68 kg", "C": "70 kg", "D": "72 kg" },
      "correct_answer": "C"
    },
    {
      "id": 40,
      "difficulty": "medium",
      "question": "📈 If y=15 when x=9, and y ∝ x, find y when x=21.",
      "options": { "A": "30", "B": "32", "C": "35", "D": "38" },
      "correct_answer": "C"
    },

    {
      "id": 41,
      "difficulty": "hard",
      "question": "📊 If y ∝ x and y=12 when x=4, find x when y=39.",
      "options": { "A": "11", "B": "12", "C": "13", "D": "14" },
      "correct_answer": "C"
    },
    {
      "id": 42,
      "difficulty": "hard",
      "question": "🚗 A car covers distance d ∝ time t. d=315 km in 5 hrs. Time for 504 km?",
      "options": {
        "A": "7 hours",
        "B": "7.5 hours",
        "C": "8 hours",
        "D": "8.5 hours"
      },
      "correct_answer": "C"
    },
    {
      "id": 43,
      "difficulty": "hard",
      "question": "🏗️ Cost of painting ∝ area. 120 sq m costs ₹9600. Cost for 175 sq m?",
      "options": {
        "A": "₹12,000",
        "B": "₹13,000",
        "C": "₹14,000",
        "D": "₹15,000"
      },
      "correct_answer": "C"
    },
    {
      "id": 44,
      "difficulty": "hard",
      "question": "💰 If $1 = ₹78, then ₹6630 = $___.",
      "options": {
        "A": "$82",
        "B": "$83",
        "C": "$84",
        "D": "$85"
      },
      "correct_answer": "D"
    },
    {
      "id": 45,
      "difficulty": "hard",
      "question": "📦 Weight of metal ∝ volume. 25 cm³ weighs 100 g. Weight of 70 cm³?",
      "options": { "A": "260 g", "B": "270 g", "C": "280 g", "D": "290 g" },
      "correct_answer": "C"
    },
    {
      "id": 46,
      "difficulty": "hard",
      "question": "📈 y ∝ x. When x=3.5, y=14. Find y when x=9.25.",
      "options": { "A": "35", "B": "36", "C": "37", "D": "38" },
      "correct_answer": "C"
    },
    {
      "id": 47,
      "difficulty": "hard",
      "question": "🍕 Cost ∝ number. Cost of 16 items is ₹432. Cost of 27 items?",
      "options": { "A": "₹702", "B": "₹712", "C": "₹722", "D": "₹732" },
      "correct_answer": "C"
    },
    {
      "id": 48,
      "difficulty": "hard",
      "question": "🚌 Bus fare ∝ distance. Fare for 35 km is ₹140. Fare for 82.5 km?",
      "options": { "A": "₹310", "B": "₹320", "C": "₹330", "D": "₹340" },
      "correct_answer": "C"
    },
    {
      "id": 49,
      "difficulty": "hard",
      "question": "📐 Map scale: 4 cm = 15 km. Actual distance 67.5 km, map distance?",
      "options": { "A": "16 cm", "B": "17 cm", "C": "18 cm", "D": "19 cm" },
      "correct_answer": "C"
    },
    {
      "id": 50,
      "difficulty": "hard",
      "question": "⏱️ Machine makes 560 parts in 7 hours. Parts in 12.5 hours?",
      "options": { "A": "950", "B": "980", "C": "1000", "D": "1020" },
      "correct_answer": "C"
    },
    {
      "id": 51,
      "difficulty": "hard",
      "question": "💰 Salary ∝ hours worked. 48 hours → ₹6000. Salary for 76 hours?",
      "options": { "A": "₹9200", "B": "₹9400", "C": "₹9500", "D": "₹9600" },
      "correct_answer": "C"
    },
    {
      "id": 52,
      "difficulty": "hard",
      "question": "📦 Postage cost ∝ weight. 250 g → ₹30. Cost for 1.25 kg?",
      "options": { "A": "₹140", "B": "₹145", "C": "₹150", "D": "₹155" },
      "correct_answer": "C"
    },
    {
      "id": 53,
      "difficulty": "hard",
      "question": "🚗 Speed constant. In 45 minutes, 60 km. Distance in 2h 15m?",
      "options": { "A": "170 km", "B": "175 km", "C": "180 km", "D": "185 km" },
      "correct_answer": "C"
    },
    {
      "id": 54,
      "difficulty": "hard",
      "question": "📈 y ∝ x. y=8.4 when x=2.8. Find x when y=18.6.",
      "options": { "A": "5.8", "B": "6.0", "C": "6.2", "D": "6.4" },
      "correct_answer": "C"
    },
    {
      "id": 55,
      "difficulty": "hard",
      "question": "🍕 If 24 pizzas cost ₹6000, cost of 38 pizzas?",
      "options": { "A": "₹9200", "B": "₹9400", "C": "₹9500", "D": "₹9800" },
      "correct_answer": "C"
    },
    {
      "id": 56,
      "difficulty": "hard",
      "question": "🏗️ Material cost ∝ area. 90 sq ft → ₹13500. Cost for 154 sq ft?",
      "options": {
        "A": "₹22,500",
        "B": "₹23,000",
        "C": "₹23,100",
        "D": "₹23,500"
      },
      "correct_answer": "C"
    },
    {
      "id": 57,
      "difficulty": "hard",
      "question": "💰 Direct proportion graph is a ___ line through origin.",
      "options": {
        "A": "curved",
        "B": "vertical",
        "C": "straight",
        "D": "horizontal"
      },
      "correct_answer": "C"
    },
    {
      "id": 58,
      "difficulty": "hard",
      "question": "📦 If 18 articles cost ₹558, cost of 35 articles?",
      "options": { "A": "₹1065", "B": "₹1075", "C": "₹1085", "D": "₹1095" },
      "correct_answer": "C"
    },
    {
      "id": 59,
      "difficulty": "hard",
      "question": "🚌 Travel distance ∝ fuel. 8 liters for 96 km. Fuel for 300 km?",
      "options": {
        "A": "22 liters",
        "B": "23 liters",
        "C": "24 liters",
        "D": "25 liters"
      },
      "correct_answer": "D"
    },
    {
      "id": 60,
      "difficulty": "hard",
      "question": "📈 If y ∝ x and x=12 when y=48, find y when x=22.5.",
      "options": { "A": "85", "B": "88", "C": "90", "D": "92" },
      "correct_answer": "C"
    }
  ]
}