{
  "title": "Combination of Solids - Grade 10 ICSE",
  "total_questions": 60,
  "questions": [
    {"id": 1, "difficulty": "easy", "question": "A cube joined with a cylinder forms what shape? 🧊+🛢️", "options": {"A": "Combination solid", "B": "Sphere", "C": "Cone", "D": "Pyramid"}, "correct_answer": "A"},
    {"id": 2, "difficulty": "easy", "question": "Volume of combined solids = ? 📦", "options": {"A": "Sum of volumes", "B": "Product of volumes", "C": "Difference of volumes", "D": "Average of volumes"}, "correct_answer": "A"},
    {"id": 3, "difficulty": "easy", "question": "A hemisphere on top of a cylinder looks like: 🏠", "options": {"A": "Igloo", "B": "Box", "C": "Pyramid", "D": "Cone"}, "correct_answer": "A"},
    {"id": 4, "difficulty": "easy", "question": "Surface area of combined solids excludes: 🚫", "options": {"A": "Hidden surfaces", "B": "Visible surfaces", "C": "Curved surfaces", "D": "Flat surfaces"}, "correct_answer": "A"},
    {"id": 5, "difficulty": "easy", "question": "Cone + Cylinder = ? 📐", "options": {"A": "Sharpened pencil", "B": "Ball", "C": "Box", "D": "Table"}, "correct_answer": "A"},
    {"id": 6, "difficulty": "easy", "question": "Two cubes joined form a: 🔲+🔲", "options": {"A": "Cuboid", "B": "Sphere", "C": "Cylinder", "D": "Cone"}, "correct_answer": "A"},
    {"id": 7, "difficulty": "easy", "question": "Which is NOT a combination solid? ❌", "options": {"A": "Perfect sphere", "B": "Cone on cylinder", "C": "Cube on cuboid", "D": "Hemisphere on cube"}, "correct_answer": "A"},
    {"id": 8, "difficulty": "easy", "question": "Total surface area includes: 📏", "options": {"A": "All outer surfaces", "B": "Only curved surfaces", "C": "Only flat surfaces", "D": "Internal surfaces"}, "correct_answer": "A"},
    {"id": 9, "difficulty": "easy", "question": "When combining solids, common surfaces are: 🔄", "options": {"A": "Not counted twice", "B": "Counted twice", "C": "Ignored", "D": "Tripled"}, "correct_answer": "A"},
    {"id": 10, "difficulty": "easy", "question": "Ice cream cone = ? 🍦", "options": {"A": "Hemisphere on cone", "B": "Cone on cylinder", "C": "Sphere on cube", "D": "Cylinder on cube"}, "correct_answer": "A"},
    {"id": 11, "difficulty": "easy", "question": "Toy top shape = ? 🎯", "options": {"A": "Cone + hemisphere", "B": "Cube + sphere", "C": "Cylinder + cube", "D": "Sphere + cube"}, "correct_answer": "A"},
    {"id": 12, "difficulty": "easy", "question": "Volume remains _____ when combining. 📊", "options": {"A": "Additive", "B": "Multiplicative", "C": "Subtractive", "D": "Divisive"}, "correct_answer": "A"},
    {"id": 13, "difficulty": "easy", "question": "A tent shape = ? ⛺", "options": {"A": "Cylinder + cone", "B": "Cube + sphere", "C": "Cone + cube", "D": "Sphere + cylinder"}, "correct_answer": "A"},
    {"id": 14, "difficulty": "easy", "question": "Pencil with eraser = ? ✏️", "options": {"A": "Cylinder + hemisphere", "B": "Cone + sphere", "C": "Cube + cylinder", "D": "Sphere + cone"}, "correct_answer": "A"},
    {"id": 15, "difficulty": "easy", "question": "Rocket shape = ? 🚀", "options": {"A": "Cone + cylinder + cone", "B": "Sphere + cube", "C": "Cylinder + sphere", "D": "Cube + cone"}, "correct_answer": "A"},
    {"id": 16, "difficulty": "easy", "question": "Surface area calculation needs: 🧮", "options": {"A": "Careful measurement", "B": "Guessing", "C": "Ignoring shapes", "D": "Only volume"}, "correct_answer": "A"},
    {"id": 17, "difficulty": "easy", "question": "Combined solid's volume is always _____ individuals. ⚖️", "options": {"A": "Sum of", "B": "Less than", "C": "More than", "D": "Equal to"}, "correct_answer": "A"},
    {"id": 18, "difficulty": "easy", "question": "Capsule shape = ? 💊", "options": {"A": "Cylinder + 2 hemispheres", "B": "Sphere + cone", "C": "Cube + cylinder", "D": "Cone + hemisphere"}, "correct_answer": "A"},
    {"id": 19, "difficulty": "easy", "question": "Common face in combination is: 🤝", "options": {"A": "Shared surface", "B": "Hidden surface", "C": "Curved surface", "D": "Top surface"}, "correct_answer": "A"},
    {"id": 20, "difficulty": "easy", "question": "Funnel shape = ? 🍶", "options": {"A": "Cone + cylinder", "B": "Sphere + cube", "C": "Cylinder + hemisphere", "D": "Cube + cone"}, "correct_answer": "A"},
    {"id": 21, "difficulty": "medium", "question": "Cone radius 3cm, height 4cm on cylinder radius 3cm, height 10cm. Total height? 📐", "options": {"A": "14 cm", "B": "13 cm", "C": "12 cm", "D": "15 cm"}, "correct_answer": "A"},
    {"id": 22, "difficulty": "medium", "question": "Hemisphere radius 7cm on cube side 14cm. Total volume? 🧊", "options": {"A": "2744 + 718.67 = 3462.67 cm³", "B": "2744 + 1437.33 = 4181.33 cm³", "C": "1372 + 718.67 = 2090.67 cm³", "D": "2744 + 1078 = 3822 cm³"}, "correct_answer": "A"},
    {"id": 23, "difficulty": "medium", "question": "Cylinder radius 5cm, height 14cm + cone same radius, height 12cm. Total surface area? 📏", "options": {"A": "Cylinder CSA + Cone CSA + base circle", "B": "Cylinder TSA + Cone TSA", "C": "Only curved areas", "D": "All surfaces including common"}, "correct_answer": "A"},
    {"id": 24, "difficulty": "medium", "question": "Two cubes side 4cm joined. Volume of cuboid? 🔲", "options": {"A": "128 cm³", "B": "64 cm³", "C": "96 cm³", "D": "32 cm³"}, "correct_answer": "A"},
    {"id": 25, "difficulty": "medium", "question": "Sphere radius 6cm inside cube side 12cm. Volume of remaining? 🎲", "options": {"A": "1728 - 904.32 = 823.68 cm³", "B": "1728 - 452.16 = 1275.84 cm³", "C": "864 - 904.32 = -40.32 cm³", "D": "1728 - 113.04 = 1614.96 cm³"}, "correct_answer": "A"},
    {"id": 26, "difficulty": "medium", "question": "Cone height 9cm, radius 3cm on cylinder radius 3cm, height 12cm. Slant height of cone? 📐", "options": {"A": "√(9²+3²)=√90≈9.49cm", "B": "√(12²+3²)=√153≈12.37cm", "C": "9+3=12cm", "D": "9×3=27cm"}, "correct_answer": "A"},
    {"id": 27, "difficulty": "medium", "question": "Hemisphere radius 10cm on cylinder radius 10cm, height 20cm. Total curved surface area? 🛢️", "options": {"A": "2πrh + 2πr²", "B": "2πrh + πr²", "C": "πrl + 2πrh", "D": "4πr² + 2πrh"}, "correct_answer": "A"},
    {"id": 28, "difficulty": "medium", "question": "Cuboid 8×6×10cm with hemisphere radius 3cm on top. Total height? 🏢", "options": {"A": "10 + 3 = 13 cm", "B": "10 + 6 = 16 cm", "C": "8 + 3 = 11 cm", "D": "10 + 4 = 14 cm"}, "correct_answer": "A"},
    {"id": 29, "difficulty": "medium", "question": "Cone radius 7cm, height 24cm + hemisphere same radius. Total volume? 🎪", "options": {"A": "(1/3)πr²h + (2/3)πr³", "B": "πr²h + (4/3)πr³", "C": "πr²h + (2/3)πr³", "D": "(1/3)πr²h + (4/3)πr³"}, "correct_answer": "A"},
    {"id": 30, "difficulty": "medium", "question": "Two cylinders radius 5cm, heights 8cm & 12cm joined base to base. Total volume? 🔄", "options": {"A": "π×5²×8 + π×5²×12 = 500π cm³", "B": "π×5²×20 = 500π cm³", "C": "2×π×5×20 = 200π cm³", "D": "π×10²×20 = 2000π cm³"}, "correct_answer": "A"},
    {"id": 31, "difficulty": "medium", "question": "Cube side 10cm with conical depression radius 3cm, depth 4cm. Remaining volume? 🕳️", "options": {"A": "1000 - (1/3)π×3²×4", "B": "1000 + (1/3)π×3²×4", "C": "1000 - π×3²×4", "D": "1000 - (4/3)π×3³"}, "correct_answer": "A"},
    {"id": 32, "difficulty": "medium", "question": "Cylinder radius 14cm, height 20cm + cone same radius, height 21cm. Total surface area (painted)? 🎨", "options": {"A": "Cylinder CSA + Cone CSA + Cylinder base area", "B": "Cylinder TSA + Cone TSA", "C": "Only Cone CSA", "D": "All surfaces"}, "correct_answer": "A"},
    {"id": 33, "difficulty": "medium", "question": "Hemisphere radius 21cm scooped from cylinder radius 21cm, height 42cm. Remaining volume? 🍦", "options": {"A": "π×21²×42 - (2/3)π×21³", "B": "π×21²×42 + (2/3)π×21³", "C": "π×21²×42 - (4/3)π×21³", "D": "π×21²×42 - π×21³"}, "correct_answer": "A"},
    {"id": 34, "difficulty": "medium", "question": "Cone height 16cm, radius 6cm on cube side 12cm. Total height? 🏔️", "options": {"A": "12 + 16 = 28 cm", "B": "12 + 6 = 18 cm", "C": "16 + 6 = 22 cm", "D": "12 + 8 = 20 cm"}, "correct_answer": "A"},
    {"id": 35, "difficulty": "medium", "question": "Sphere radius 8cm inside cylinder radius 8cm, height 16cm. Empty space volume? ⚫", "options": {"A": "π×8²×16 - (4/3)π×8³", "B": "(4/3)π×8³ - π×8²×16", "C": "π×8²×16 + (4/3)π×8³", "D": "π×8×16 - (4/3)π×8³"}, "correct_answer": "A"},
    {"id": 36, "difficulty": "medium", "question": "Two identical cones base-to-base form what shape? 🔺🔺", "options": {"A": "Hourglass/double cone", "B": "Cylinder", "C": "Sphere", "D": "Cube"}, "correct_answer": "A"},
    {"id": 37, "difficulty": "medium", "question": "Cuboid 15×10×5cm with 4 hemispheres radius 2.5cm at corners. Total volume? 🏟️", "options": {"A": "750 + 4×(2/3)π×2.5³", "B": "750 - 4×(2/3)π×2.5³", "C": "750 + 4×(4/3)π×2.5³", "D": "750 - 4×(4/3)π×2.5³"}, "correct_answer": "A"},
    {"id": 38, "difficulty": "medium", "question": "Cylinder radius 10cm, height 15cm + hemisphere same radius on each end. Total length? 📏", "options": {"A": "15 + 10 + 10 = 35 cm", "B": "15 + 20 = 35 cm", "C": "15 + 10 = 25 cm", "D": "15 + 5 + 5 = 25 cm"}, "correct_answer": "A"},
    {"id": 39, "difficulty": "medium", "question": "Cone radius 5cm, height 12cm placed inside cylinder radius 5cm, height 12cm. Space between them? 🔄", "options": {"A": "Cylinder volume - Cone volume", "B": "Cone volume - Cylinder volume", "C": "Cylinder CSA - Cone CSA", "D": "They fit exactly"}, "correct_answer": "A"},
    {"id": 40, "difficulty": "medium", "question": "Pyramid on cube base 8cm, pyramid height 6cm. Total volume? 🏛️", "options": {"A": "512 + (1/3)×64×6", "B": "512 + 64×6", "C": "512 + (1/3)×512×6", "D": "512 - (1/3)×64×6"}, "correct_answer": "A"},
    {"id": 41, "difficulty": "hard", "question": "Cone radius R, height H on cylinder radius R, height 2H. Ratio of volumes? 📊", "options": {"A": "Cone: Cylinder = 1:6", "B": "Cone: Cylinder = 1:3", "C": "Cone: Cylinder = 1:2", "D": "Cone: Cylinder = 2:3"}, "correct_answer": "A"},
    {"id": 42, "difficulty": "hard", "question": "Hemisphere radius 7cm on cube side 14cm. Paint cost at ₹0.50/cm²? 🎨", "options": {"A": "TSA × 0.50 (excluding base contact)", "B": "Volume × 0.50", "C": "CSA × 0.50", "D": "All surfaces × 0.50"}, "correct_answer": "A"},
    {"id": 43, "difficulty": "hard", "question": "Cylinder melted into spheres radius 3cm. How many spheres? ♻️", "options": {"A": "Cylinder volume ÷ Sphere volume", "B": "Cylinder height ÷ Sphere diameter", "C": "Cylinder radius ÷ Sphere radius", "D": "Cylinder CSA ÷ Sphere CSA"}, "correct_answer": "A"},
    {"id": 44, "difficulty": "hard", "question": "Cone + Hemisphere total height 21cm, common radius 7cm. Individual heights? 📐", "options": {"A": "Cone height = 14cm, Hemisphere radius = 7cm", "B": "Cone height = 7cm, Hemisphere radius = 14cm", "C": "Both 10.5cm", "D": "Cone 21cm, Hemisphere 0cm"}, "correct_answer": "A"},
    {"id": 45, "difficulty": "hard", "question": "Two solids combined: water filling takes 15 min for first, 25 min for second. Combined time? ⏳", "options": {"A": "40 min (additive)", "B": "20 min (average)", "C": "15 min (minimum)", "D": "25 min (maximum)"}, "correct_answer": "A"},
    {"id": 46, "difficulty": "hard", "question": "Cuboid 30×20×10cm with cylindrical hole radius 7cm through center. Remaining volume? 🕳️", "options": {"A": "6000 - π×7²×10", "B": "6000 + π×7²×10", "C": "6000 - π×7²×30", "D": "6000 - π×3.5²×10"}, "correct_answer": "A"},
    {"id": 47, "difficulty": "hard", "question": "Sphere radius 10cm inside cone height 24cm, radius? Find cone radius. 🔍", "options": {"A": "Similar triangles: r/10 = 24/(24-10)", "B": "r = 10 cm", "C": "r = 14 cm", "D": "r = 20 cm"}, "correct_answer": "A"},
    {"id": 48, "difficulty": "hard", "question": "Hemispherical depression radius 3cm in cube side 12cm. Surface area increase? 📏", "options": {"A": "Adds inner CSA of hemisphere", "B": "Reduces surface area", "C": "No change", "D": "Adds TSA of hemisphere"}, "correct_answer": "A"},
    {"id": 49, "difficulty": "hard", "question": "Cylinder radius 6cm, height 10cm + cone same radius, height 8cm. Total slant height? 📐", "options": {"A": "√(8²+6²) = 10cm (only cone)", "B": "10 + 10 = 20cm", "C": "√(10²+6²) + √(8²+6²)", "D": "Only cylinder height"}, "correct_answer": "A"},
    {"id": 50, "difficulty": "hard", "question": "Metallic sphere radius 9cm melted into cones radius 3cm, height 4cm. Number of cones? ♻️", "options": {"A": "(4/3)π×9³ ÷ [(1/3)π×3²×4]", "B": "(4/3)π×9³ ÷ [π×3²×4]", "C": "π×9² ÷ [π×3²]", "D": "9³ ÷ 3³"}, "correct_answer": "A"},
    {"id": 51, "difficulty": "hard", "question": "Cone height 12cm, radius 5cm placed inside cylinder radius 5cm. Minimum cylinder height? 📦", "options": {"A": "12 cm", "B": "17 cm", "C": "10 cm", "D": "5 cm"}, "correct_answer": "A"},
    {"id": 52, "difficulty": "hard", "question": "Cuboid with 2 hemispherical ends: total length 30cm, cylinder radius 7cm. Cylinder length? 📏", "options": {"A": "30 - 7 - 7 = 16 cm", "B": "30 - 14 = 16 cm", "C": "30 - 3.5 - 3.5 = 23 cm", "D": "30 cm"}, "correct_answer": "A"},
    {"id": 53, "difficulty": "hard", "question": "Wooden article: hemisphere radius 3.5cm on cube side 7cm. Weight if wood density 0.8g/cm³? ⚖️", "options": {"A": "(343 + 89.8)×0.8", "B": "343×0.8", "C": "89.8×0.8", "D": "(343 - 89.8)×0.8"}, "correct_answer": "A"},
    {"id": 54, "difficulty": "hard", "question": "Cylindrical pillar radius 28cm, height 4m with cone height 21cm on top. Canvas needed for cover? 🎪", "options": {"A": "Cylinder CSA + Cone CSA", "B": "Cylinder TSA + Cone TSA", "C": "Only Cone CSA", "D": "Only Cylinder CSA"}, "correct_answer": "A"},
    {"id": 55, "difficulty": "hard", "question": "Ice cream cone: cone height 12cm, radius 5cm with hemisphere radius 5cm. Ice cream volume? 🍦", "options": {"A": "Cone vol + Hemisphere vol", "B": "Cone vol only", "C": "Hemisphere vol only", "D": "Cone vol - Hemisphere vol"}, "correct_answer": "A"},
    {"id": 56, "difficulty": "hard", "question": "Tent: cylinder radius 14m, height 5m + cone height 12m. Canvas width 2m, length needed? ⛺", "options": {"A": "(Cylinder CSA + Cone CSA) ÷ 2", "B": "Volume ÷ 2", "C": "Height × width", "D": "Radius × π × width"}, "correct_answer": "A"},
    {"id": 57, "difficulty": "hard", "question": "Solid composed of cube side 8cm with hemisphere on each face. Total surfaces count? 🎲", "options": {"A": "6 cube faces + 6 hemispheres", "B": "6 cube faces only", "C": "12 hemispheres", "D": "8 vertices × hemispheres"}, "correct_answer": "A"},
    {"id": 58, "difficulty": "hard", "question": "Maximum sphere that fits in cube side 10cm. Percentage of cube volume empty? 📊", "options": {"A": "(1000 - (4/3)π×5³) ÷ 1000 × 100%", "B": "((4/3)π×5³) ÷ 1000 × 100%", "C": "50%", "D": "25%"}, "correct_answer": "A"},
    {"id": 59, "difficulty": "hard", "question": "Cone radius 6cm, height 8cm cut from cylinder radius 6cm, height 8cm. Material removed? 🗑️", "options": {"A": "Cylinder volume - Cone volume", "B": "Cone volume", "C": "Cylinder volume", "D": "Cylinder CSA - Cone CSA"}, "correct_answer": "A"},
    {"id": 60, "difficulty": "hard", "question": "Solid: hemisphere radius 7cm on cube side 14cm. If painted, unpainted area? 🎨", "options": {"A": "Base contact area", "B": "All cube faces", "C": "All surfaces", "D": "Hemisphere only"}, "correct_answer": "A"}
  ]
}