{
  "title": "Direct Variation - Grade 7 ICSE",
  "total_questions": 60,
  "questions": [
    {
      "id": 1,
      "difficulty": "easy",
      "question": "📏 If y varies directly with x and y = 10 when x = 5, find y when x = 8.",
      "options": { "A": "14", "B": "15", "C": "16", "D": "18" },
      "correct_answer": "C"
    },
    {
      "id": 2,
      "difficulty": "easy",
      "question": "🍎 3 apples cost ₹30. How much for 7 apples at same rate?",
      "options": { "A": "₹65", "B": "₹68", "C": "₹70", "D": "₹72" },
      "correct_answer": "C"
    },
    {
      "id": 3,
      "difficulty": "easy",
      "question": "🚗 A car travels 120 km in 2 hours. How far in 5 hours at same speed?",
      "options": { "A": "280 km", "B": "300 km", "C": "320 km", "D": "340 km" },
      "correct_answer": "B"
    },
    {
      "id": 4,
      "difficulty": "easy",
      "question": "📚 If 8 books weigh 16 kg, how much do 15 books weigh?",
      "options": { "A": "28 kg", "B": "30 kg", "C": "32 kg", "D": "34 kg" },
      "correct_answer": "B"
    },
    {
      "id": 5,
      "difficulty": "easy",
      "question": "✏️ 5 pencils cost ₹25. Cost of 12 pencils?",
      "options": { "A": "₹55", "B": "₹58", "C": "₹60", "D": "₹62" },
      "correct_answer": "C"
    },
    {
      "id": 6,
      "difficulty": "easy",
      "question": "🕒 A machine makes 40 toys in 8 hours. Toys in 15 hours?",
      "options": { "A": "70", "B": "72", "C": "75", "D": "78" },
      "correct_answer": "C"
    },
    {
      "id": 7,
      "difficulty": "easy",
      "question": "📦 If 6 boxes contain 42 chocolates, how many chocolates in 10 boxes?",
      "options": { "A": "68", "B": "70", "C": "72", "D": "75" },
      "correct_answer": "B"
    },
    {
      "id": 8,
      "difficulty": "easy",
      "question": "🍕 4 pizzas serve 12 people. How many pizzas for 30 people?",
      "options": { "A": "9", "B": "10", "C": "11", "D": "12" },
      "correct_answer": "B"
    },
    {
      "id": 9,
      "difficulty": "easy",
      "question": "💰 If y ∝ x and y = 15 when x = 3, find x when y = 25.",
      "options": { "A": "4", "B": "5", "C": "6", "D": "7" },
      "correct_answer": "B"
    },
    {
      "id": 10,
      "difficulty": "easy",
      "question": "🚲 A cyclist covers 25 km in 1 hour. Distance in 4 hours?",
      "options": { "A": "95 km", "B": "98 km", "C": "100 km", "D": "105 km" },
      "correct_answer": "C"
    },
    {
      "id": 11,
      "difficulty": "easy",
      "question": "📏 2 metres of cloth cost ₹150. Cost of 5 metres?",
      "options": { "A": "₹360", "B": "₹370", "C": "₹375", "D": "₹380" },
      "correct_answer": "C"
    },
    {
      "id": 12,
      "difficulty": "easy",
      "question": "🍦 If 3 ice creams cost ₹90, how many ice creams for ₹300?",
      "options": { "A": "9", "B": "10", "C": "11", "D": "12" },
      "correct_answer": "B"
    },
    {
      "id": 13,
      "difficulty": "easy",
      "question": "🏏 A batsman scores 60 runs in 20 balls. Runs in 50 balls at same rate?",
      "options": { "A": "145", "B": "148", "C": "150", "D": "155" },
      "correct_answer": "C"
    },
    {
      "id": 14,
      "difficulty": "easy",
      "question": "📊 y = kx, k=4. Find y when x=7.",
      "options": { "A": "26", "B": "28", "C": "30", "D": "32" },
      "correct_answer": "B"
    },
    {
      "id": 15,
      "difficulty": "easy",
      "question": "🎈 8 balloons cost ₹64. Cost of 13 balloons?",
      "options": { "A": "₹100", "B": "₹102", "C": "₹104", "D": "₹108" },
      "correct_answer": "C"
    },
    {
      "id": 16,
      "difficulty": "easy",
      "question": "📖 5 notebooks cost ₹125. Cost of 9 notebooks?",
      "options": { "A": "₹220", "B": "₹225", "C": "₹230", "D": "₹235" },
      "correct_answer": "B"
    },
    {
      "id": 17,
      "difficulty": "easy",
      "question": "🏠 If rent for 2 months = ₹6000, rent for 7 months?",
      "options": { "A": "₹20000", "B": "₹20500", "C": "₹21000", "D": "₹21500" },
      "correct_answer": "C"
    },
    {
      "id": 18,
      "difficulty": "easy",
      "question": "✈️ Plane flies 600 km in 1.5 hours. In 4 hours at same speed?",
      "options": {
        "A": "1500 km",
        "B": "1550 km",
        "C": "1600 km",
        "D": "1650 km"
      },
      "correct_answer": "C"
    },
    {
      "id": 19,
      "difficulty": "easy",
      "question": "🧵 10 metres thread weight 50 gm. Weight of 26 metres?",
      "options": { "A": "120 gm", "B": "125 gm", "C": "130 gm", "D": "135 gm" },
      "correct_answer": "C"
    },
    {
      "id": 20,
      "difficulty": "easy",
      "question": "📐 y directly varies with x. y=24 when x=6. Find y when x=9.",
      "options": { "A": "34", "B": "35", "C": "36", "D": "38" },
      "correct_answer": "C"
    },
    {
      "id": 21,
      "difficulty": "medium",
      "question": "🛒 Cost of 12 oranges is ₹96. How many oranges for ₹200?",
      "options": { "A": "24", "B": "25", "C": "26", "D": "28" },
      "correct_answer": "B"
    },
    {
      "id": 22,
      "difficulty": "medium",
      "question": "📏 A map scale: 2 cm = 5 km. Actual distance for 7 cm on map?",
      "options": { "A": "16.5 km", "B": "17 km", "C": "17.5 km", "D": "18 km" },
      "correct_answer": "C"
    },
    {
      "id": 23,
      "difficulty": "medium",
      "question": "🍰 5 cakes need 500 gm flour. How much flour for 9 cakes?",
      "options": { "A": "850 gm", "B": "880 gm", "C": "900 gm", "D": "920 gm" },
      "correct_answer": "C"
    },
    {
      "id": 24,
      "difficulty": "medium",
      "question": "🏃 Running 8 km burns 600 calories. How many km to burn 1500 calories?",
      "options": { "A": "18 km", "B": "19 km", "C": "20 km", "D": "21 km" },
      "correct_answer": "C"
    },
    {
      "id": 25,
      "difficulty": "medium",
      "question": "📚 If y ∝ x and y=35 when x=7, find y when x=11.",
      "options": { "A": "53", "B": "54", "C": "55", "D": "56" },
      "correct_answer": "C"
    },
    {
      "id": 26,
      "difficulty": "medium",
      "question": "🚗 A car uses 15 litres petrol for 150 km. How much for 400 km?",
      "options": {
        "A": "38 litres",
        "B": "39 litres",
        "C": "40 litres",
        "D": "42 litres"
      },
      "correct_answer": "C"
    },
    {
      "id": 27,
      "difficulty": "medium",
      "question": "💰 Wages for 5 days = ₹2000. Wages for 12 days?",
      "options": { "A": "₹4600", "B": "₹4700", "C": "₹4800", "D": "₹4900" },
      "correct_answer": "C"
    },
    {
      "id": 28,
      "difficulty": "medium",
      "question": "📦 4 workers make 48 toys in a day. How many toys by 7 workers?",
      "options": { "A": "80", "B": "82", "C": "84", "D": "86" },
      "correct_answer": "C"
    },
    {
      "id": 29,
      "difficulty": "medium",
      "question": "📐 If a ∝ b and a=28 when b=4, find b when a=49.",
      "options": { "A": "6", "B": "6.5", "C": "7", "D": "7.5" },
      "correct_answer": "C"
    },
    {
      "id": 30,
      "difficulty": "medium",
      "question": "🍕 3 pizzas need 750 gm cheese. Cheese for 10 pizzas?",
      "options": { "A": "2.4 kg", "B": "2.5 kg", "C": "2.6 kg", "D": "2.7 kg" },
      "correct_answer": "B"
    },
    {
      "id": 31,
      "difficulty": "medium",
      "question": "🚌 Bus fare for 15 km = ₹45. Fare for 35 km?",
      "options": { "A": "₹100", "B": "₹102", "C": "₹105", "D": "₹108" },
      "correct_answer": "C"
    },
    {
      "id": 32,
      "difficulty": "medium",
      "question": "📏 y varies directly with x. When x=5, y=12.5. Find x when y=30.",
      "options": { "A": "11", "B": "12", "C": "13", "D": "14" },
      "correct_answer": "B"
    },
    {
      "id": 33,
      "difficulty": "medium",
      "question": "🏏 8 overs (48 balls) yield 64 runs. Runs in 30 overs?",
      "options": { "A": "235", "B": "238", "C": "240", "D": "245" },
      "correct_answer": "C"
    },
    {
      "id": 34,
      "difficulty": "medium",
      "question": "📦 If 5 containers hold 80 kg, how many containers for 256 kg?",
      "options": { "A": "15", "B": "16", "C": "17", "D": "18" },
      "correct_answer": "B"
    },
    {
      "id": 35,
      "difficulty": "medium",
      "question": "✈️ Jet travels 1800 km in 3 hours. Distance in 7 hours at same speed?",
      "options": {
        "A": "4100 km",
        "B": "4150 km",
        "C": "4200 km",
        "D": "4250 km"
      },
      "correct_answer": "C"
    },
    {
      "id": 36,
      "difficulty": "medium",
      "question": "💰 Income directly varies with hours. 6 hours = ₹1200. Income for 15 hours?",
      "options": { "A": "₹2900", "B": "₹2950", "C": "₹3000", "D": "₹3050" },
      "correct_answer": "C"
    },
    {
      "id": 37,
      "difficulty": "medium",
      "question": "📊 If p ∝ q and p=1.6 when q=0.4, find p when q=1.",
      "options": { "A": "3.8", "B": "3.9", "C": "4", "D": "4.1" },
      "correct_answer": "C"
    },
    {
      "id": 38,
      "difficulty": "medium",
      "question": "🍓 2 kg strawberries make 1 kg jam. How many kg strawberries for 5 kg jam?",
      "options": { "A": "9 kg", "B": "9.5 kg", "C": "10 kg", "D": "10.5 kg" },
      "correct_answer": "C"
    },
    {
      "id": 39,
      "difficulty": "medium",
      "question": "🛍️ Price of 1 m cloth = ₹85. Price of 4.5 m cloth?",
      "options": { "A": "₹377.5", "B": "₹380", "C": "₹382.5", "D": "₹385" },
      "correct_answer": "C"
    },
    {
      "id": 40,
      "difficulty": "medium",
      "question": "📐 If m ∝ n, m=27 when n=9, find m when n=14.",
      "options": { "A": "40", "B": "41", "C": "42", "D": "43" },
      "correct_answer": "C"
    },
    {
      "id": 41,
      "difficulty": "hard",
      "question": "📏 y varies directly as x². y=48 when x=4. Find y when x=6.",
      "options": { "A": "105", "B": "106", "C": "107", "D": "108" },
      "correct_answer": "D"
    },
    {
      "id": 42,
      "difficulty": "hard",
      "question": "🚗 Distance ∝ time². In 3 sec, distance 45 m. Distance in 5 sec?",
      "options": { "A": "120 m", "B": "122 m", "C": "124 m", "D": "125 m" },
      "correct_answer": "D"
    },
    {
      "id": 43,
      "difficulty": "hard",
      "question": "💼 If A varies directly with B and inversely with C, A=12 when B=6, C=2. Find A when B=9, C=3.",
      "options": { "A": "10", "B": "11", "C": "12", "D": "13" },
      "correct_answer": "C"
    },
    {
      "id": 44,
      "difficulty": "hard",
      "question": "📦 Weight varies directly with cube of length. Weight=64 gm when length=4 cm. Weight when length=6 cm?",
      "options": { "A": "214 gm", "B": "216 gm", "C": "218 gm", "D": "220 gm" },
      "correct_answer": "B"
    },
    {
      "id": 45,
      "difficulty": "hard",
      "question": "🍕 Cost varies directly with diameter². 12-inch pizza costs ₹144. Cost of 18-inch pizza?",
      "options": { "A": "₹320", "B": "₹322", "C": "₹324", "D": "₹326" },
      "correct_answer": "C"
    },
    {
      "id": 46,
      "difficulty": "hard",
      "question": "📐 y ∝ √x. y=10 when x=25. Find x when y=14.",
      "options": { "A": "48", "B": "49", "C": "50", "D": "51" },
      "correct_answer": "B"
    },
    {
      "id": 47,
      "difficulty": "hard",
      "question": "🏗️ Pressure varies directly with depth. At 10 m depth, pressure = 100 kPa. Pressure at 25 m?",
      "options": {
        "A": "245 kPa",
        "B": "248 kPa",
        "C": "250 kPa",
        "D": "252 kPa"
      },
      "correct_answer": "C"
    },
    {
      "id": 48,
      "difficulty": "hard",
      "question": "💰 Interest varies directly with principal and time. ₹5000 for 2 years = ₹600 interest. Interest on ₹8000 for 3 years?",
      "options": { "A": "₹1420", "B": "₹1440", "C": "₹1460", "D": "₹1480" },
      "correct_answer": "B"
    },
    {
      "id": 49,
      "difficulty": "hard",
      "question": "📏 Volume of sphere varies directly with cube of radius. V=36π when r=3. V when r=5?",
      "options": {
        "A": "500π/3",
        "B": "160π",
        "C": "400π/3",
        "D": "180π"
      },
      "correct_answer": "A"
    },
    {
      "id": 50,
      "difficulty": "hard",
      "question": "🚀 Distance varies directly with time at constant speed. A body covers 200 m in 10 sec. Find the distance covered in 25 sec.",
      "options": {
        "A": "490 m",
        "B": "500 m",
        "C": "510 m",
        "D": "520 m"
      },
      "correct_answer": "B"
    },
    {
      "id": 51,
      "difficulty": "hard",
      "question": "📦 Cost varies directly with weight. Cost of 250 gm = ₹40. Cost of 1 kg 200 gm?",
      "options": { "A": "₹188", "B": "₹190", "C": "₹192", "D": "₹195" },
      "correct_answer": "C"
    },
    {
      "id": 52,
      "difficulty": "hard",
      "question": "🌡️ Electrical resistance varies directly with length. 50 cm wire resistance = 8 ohms. Resistance of 125 cm same wire?",
      "options": {
        "A": "18 ohms",
        "B": "19 ohms",
        "C": "20 ohms",
        "D": "21 ohms"
      },
      "correct_answer": "C"
    },
    {
      "id": 53,
      "difficulty": "hard",
      "question": "💧 Volume of cylinder varies directly with height (radius fixed). Volume=154 cm³ when height=7 cm. Volume when height=15 cm?",
      "options": {
        "A": "328 cm³",
        "B": "330 cm³",
        "C": "332 cm³",
        "D": "334 cm³"
      },
      "correct_answer": "B"
    },
    {
      "id": 54,
      "difficulty": "hard",
      "question": "📊 y ∝ x³. y=27 when x=3. Find y when x=5.",
      "options": { "A": "120", "B": "122", "C": "124", "D": "125" },
      "correct_answer": "D"
    },
    {
      "id": 55,
      "difficulty": "hard",
      "question": "🍰 Recipe: flour varies directly with number of cakes. For 4 cakes, 800 gm flour. For 15 cakes?",
      "options": { "A": "2.9 kg", "B": "3 kg", "C": "3.1 kg", "D": "3.2 kg" },
      "correct_answer": "B"
    },
    {
      "id": 56,
      "difficulty": "hard",
      "question": "📐 Force varies directly with acceleration (mass constant). Force=12 N when acceleration=3 m/s². Force when acceleration=7 m/s²?",
      "options": { "A": "26 N", "B": "27 N", "C": "28 N", "D": "29 N" },
      "correct_answer": "C"
    },
    {
      "id": 57,
      "difficulty": "hard",
      "question": "💰 Tax varies directly with income. Tax=₹4500 on income ₹90000. Tax on income ₹140000?",
      "options": { "A": "₹6900", "B": "₹7000", "C": "₹7100", "D": "₹7200" },
      "correct_answer": "B"
    },
    {
      "id": 58,
      "difficulty": "hard",
      "question": "📏 y varies directly as x. If y=56 when x=8, find x when y=91.",
      "options": { "A": "12", "B": "12.5", "C": "13", "D": "13.5" },
      "correct_answer": "C"
    },
    {
      "id": 59,
      "difficulty": "hard",
      "question": "🛣️ Petrol used varies directly with distance. 5 litres for 60 km. How far with 18 litres?",
      "options": { "A": "210 km", "B": "212 km", "C": "214 km", "D": "216 km" },
      "correct_answer": "D"
    },
    {
      "id": 60,
      "difficulty": "hard",
      "question": "📦 Shipping cost varies directly with weight. 2 kg costs ₹130. Cost for 7.5 kg?",
      "options": { "A": "₹485", "B": "₹487.5", "C": "₹490", "D": "₹492.5" },
      "correct_answer": "B"
    }
  ]
}