{
  "title": "Understanding Ratio (Ratio and Proportion) - Grade 6 CBSE",
  "total_questions": 150,
  "questions": [
    {"id": 1, "difficulty": "easy", "question": "What is the ratio of 20 minutes to 1 hour?", "options": {"A": "1:2", "B": "1:3", "C": "1:4", "D": "1:5"}, "correct_answer": "B"},
    {"id": 2, "difficulty": "easy", "question": "Express 75 cm to 1 m as a ratio in simplest form", "options": {"A": "2:3", "B": "3:4", "C": "4:5", "D": "5:6"}, "correct_answer": "B"},
    {"id": 3, "difficulty": "easy", "question": "What is the ratio of 250 g to 1 kg?", "options": {"A": "1:2", "B": "1:3", "C": "1:4", "D": "1:5"}, "correct_answer": "C"},
    {"id": 4, "difficulty": "easy", "question": "Express 40 paise to ₹2 as a ratio", "options": {"A": "1:4", "B": "1:5", "C": "1:6", "D": "1:7"}, "correct_answer": "B"},
    {"id": 5, "difficulty": "easy", "question": "What is the ratio of 6 days to 3 weeks?", "options": {"A": "1:3", "B": "2:7", "C": "3:8", "D": "4:9"}, "correct_answer": "B"},
    {"id": 6, "difficulty": "easy", "question": "Express 500 ml to 2 liters as a ratio", "options": {"A": "1:3", "B": "1:4", "C": "1:5", "D": "1:6"}, "correct_answer": "B"},
    {"id": 7, "difficulty": "easy", "question": "What is the ratio of 90 cm to 1.5 m?", "options": {"A": "2:3", "B": "3:5", "C": "4:7", "D": "5:8"}, "correct_answer": "B"},
    {"id": 8, "difficulty": "easy", "question": "Express ₹1.50 to ₹4.50 as a ratio", "options": {"A": "1:2", "B": "1:3", "C": "1:4", "D": "1:5"}, "correct_answer": "B"},
    {"id": 9, "difficulty": "easy", "question": "What is the ratio of 45 minutes to 2 hours?", "options": {"A": "3:8", "B": "4:9", "C": "5:12", "D": "7:15"}, "correct_answer": "A"},
    {"id": 10, "difficulty": "easy", "question": "Express 600 g to 2.4 kg as a ratio", "options": {"A": "1:3", "B": "1:4", "C": "1:5", "D": "1:6"}, "correct_answer": "B"},
    {"id": 11, "difficulty": "easy", "question": "What is the ratio of 80 cm to 2 m?", "options": {"A": "1:2", "B": "2:5", "C": "3:7", "D": "4:9"}, "correct_answer": "B"},
    {"id": 12, "difficulty": "easy", "question": "Express 75 paise to ₹3 as a ratio", "options": {"A": "1:3", "B": "1:4", "C": "1:5", "D": "1:6"}, "correct_answer": "B"},
    {"id": 13, "difficulty": "easy", "question": "What is the ratio of 4 months to 2 years?", "options": {"A": "1:5", "B": "1:6", "C": "1:7", "D": "1:8"}, "correct_answer": "B"},
    {"id": 14, "difficulty": "easy", "question": "Express 250 ml to 1 liter as a ratio", "options": {"A": "1:3", "B": "1:4", "C": "1:5", "D": "1:6"}, "correct_answer": "B"},
    {"id": 15, "difficulty": "easy", "question": "What is the ratio of 150 g to 1.5 kg?", "options": {"A": "1:8", "B": "1:9", "C": "1:10", "D": "1:11"}, "correct_answer": "C"},
    {"id": 16, "difficulty": "easy", "question": "Express ₹2.25 to ₹9 as a ratio", "options": {"A": "1:3", "B": "1:4", "C": "1:5", "D": "1:6"}, "correct_answer": "B"},
    {"id": 17, "difficulty": "easy", "question": "What is the ratio of 30 minutes to 4 hours?", "options": {"A": "1:6", "B": "1:7", "C": "1:8", "D": "1:9"}, "correct_answer": "C"},
    {"id": 18, "difficulty": "easy", "question": "Express 400 m to 2 km as a ratio", "options": {"A": "1:4", "B": "1:5", "C": "1:6", "D": "1:7"}, "correct_answer": "B"},
    {"id": 19, "difficulty": "easy", "question": "What is the ratio of 60 paise to ₹5?", "options": {"A": "3:25", "B": "4:35", "C": "5:45", "D": "6:55"}, "correct_answer": "A"},
    {"id": 20, "difficulty": "easy", "question": "Express 750 g to 3 kg as a ratio", "options": {"A": "1:3", "B": "1:4", "C": "1:5", "D": "1:6"}, "correct_answer": "B"},

    {"id": 21, "difficulty": "medium", "question": "Divide 60 in the ratio 2:3", "options": {"A": "20, 40", "B": "24, 36", "C": "25, 35", "D": "30, 30"}, "correct_answer": "B"},
    {"id": 22, "difficulty": "medium", "question": "Two numbers are in ratio 5:7. If their sum is 84, find the numbers", "options": {"A": "30, 54", "B": "32, 52", "C": "35, 49", "D": "40, 44"}, "correct_answer": "C"},
    {"id": 23, "difficulty": "medium", "question": "Divide ₹1200 between A and B in ratio 3:5", "options": {"A": "₹400, ₹800", "B": "₹450, ₹750", "C": "₹500, ₹700", "D": "₹600, ₹600"}, "correct_answer": "B"},
    {"id": 24, "difficulty": "medium", "question": "The ratio of boys to girls in a class is 3:2. If there are 15 boys, how many girls are there?", "options": {"A": "8", "B": "9", "C": "10", "D": "12"}, "correct_answer": "C"},
    {"id": 25, "difficulty": "medium", "question": "Two numbers are in ratio 4:9. If the larger number is 81, find the smaller number", "options": {"A": "34", "B": "35", "C": "36", "D": "38"}, "correct_answer": "C"},
    {"id": 26, "difficulty": "medium", "question": "Divide 84 kg in the ratio 5:7", "options": {"A": "30 kg, 54 kg", "B": "32 kg, 52 kg", "C": "35 kg, 49 kg", "D": "40 kg, 44 kg"}, "correct_answer": "C"},
    {"id": 27, "difficulty": "medium", "question": "The ratio of length to width of a rectangle is 5:3. If perimeter is 64 cm, find length", "options": {"A": "18 cm", "B": "19 cm", "C": "20 cm", "D": "21 cm"}, "correct_answer": "C"},
    {"id": 28, "difficulty": "medium", "question": "Divide ₹1500 among A, B, C in ratio 2:3:5", "options": {"A": "₹300, ₹450, ₹750", "B": "₹350, ₹500, ₹650", "C": "₹400, ₹500, ₹600", "D": "₹450, ₹450, ₹600"}, "correct_answer": "A"},
    {"id": 29, "difficulty": "medium", "question": "Two numbers are in ratio 7:11. If their difference is 24, find the numbers", "options": {"A": "40, 64", "B": "42, 66", "C": "44, 68", "D": "46, 70"}, "correct_answer": "B"},
    {"id": 30, "difficulty": "medium", "question": "The ratio of ages of father and son is 5:2. If father is 45 years old, find son's age", "options": {"A": "16", "B": "17", "C": "18", "D": "19"}, "correct_answer": "C"},
    {"id": 31, "difficulty": "medium", "question": "Divide 96 m in the ratio 3:5", "options": {"A": "34 m, 62 m", "B": "35 m, 61 m", "C": "36 m, 60 m", "D": "38 m, 58 m"}, "correct_answer": "C"},
    {"id": 32, "difficulty": "medium", "question": "Two numbers are in ratio 8:13. If their sum is 105, find the numbers", "options": {"A": "38, 67", "B": "39, 66", "C": "40, 65", "D": "42, 63"}, "correct_answer": "C"},
    {"id": 33, "difficulty": "medium", "question": "Divide ₹1800 between X and Y in ratio 4:5", "options": {"A": "₹750, ₹1050", "B": "₹800, ₹1000", "C": "₹850, ₹950", "D": "₹900, ₹900"}, "correct_answer": "B"},
    {"id": 34, "difficulty": "medium", "question": "The ratio of red to blue balls is 5:6. If there are 30 red balls, how many blue balls?", "options": {"A": "34", "B": "35", "C": "36", "D": "38"}, "correct_answer": "C"},
    {"id": 35, "difficulty": "medium", "question": "Two numbers are in ratio 9:14. If the larger number is 98, find the smaller", "options": {"A": "61", "B": "62", "C": "63", "D": "64"}, "correct_answer": "C"},
    {"id": 36, "difficulty": "medium", "question": "Divide 108 liters in the ratio 4:5", "options": {"A": "46 L, 62 L", "B": "47 L, 61 L", "C": "48 L, 60 L", "D": "49 L, 59 L"}, "correct_answer": "C"},
    {"id": 37, "difficulty": "medium", "question": "The ratio of base to height of triangle is 3:4. If area is 54 sq cm, find base", "options": {"A": "7 cm", "B": "8 cm", "C": "9 cm", "D": "10 cm"}, "correct_answer": "C"},
    {"id": 38, "difficulty": "medium", "question": "Divide ₹2400 among P, Q, R in ratio 3:4:5", "options": {"A": "₹550, ₹750, ₹1100", "B": "₹600, ₹800, ₹1000", "C": "₹650, ₹850, ₹900", "D": "₹700, ₹800, ₹900"}, "correct_answer": "B"},
    {"id": 39, "difficulty": "medium", "question": "Two numbers are in ratio 11:15. If their difference is 32, find numbers", "options": {"A": "84, 116", "B": "86, 118", "C": "88, 120", "D": "90, 122"}, "correct_answer": "C"},
    {"id": 40, "difficulty": "medium", "question": "The ratio of prices of two books is 7:9. If cheaper book costs ₹350, find cost of other", "options": {"A": "₹430", "B": "₹440", "C": "₹450", "D": "₹460"}, "correct_answer": "C"},
    {"id": 41, "difficulty": "medium", "question": "Divide 132 kg in the ratio 5:6", "options": {"A": "58 kg, 74 kg", "B": "59 kg, 73 kg", "C": "60 kg, 72 kg", "D": "61 kg, 71 kg"}, "correct_answer": "C"},
    {"id": 42, "difficulty": "medium", "question": "Two numbers are in ratio 13:17. If their sum is 150, find numbers", "options": {"A": "63, 87", "B": "64, 86", "C": "65, 85", "D": "66, 84"}, "correct_answer": "C"},
    {"id": 43, "difficulty": "medium", "question": "Divide ₹3000 between M and N in ratio 5:7", "options": {"A": "₹1200, ₹1800", "B": "₹1250, ₹1750", "C": "₹1300, ₹1700", "D": "₹1350, ₹1650"}, "correct_answer": "B"},
    {"id": 44, "difficulty": "medium", "question": "The ratio of passed to failed students is 8:3. If 48 passed, how many failed?", "options": {"A": "16", "B": "17", "C": "18", "D": "19"}, "correct_answer": "C"},
    {"id": 45, "difficulty": "medium", "question": "Two numbers are in ratio 15:19. If larger is 95, find smaller", "options": {"A": "73", "B": "74", "C": "75", "D": "76"}, "correct_answer": "C"},
    {"id": 46, "difficulty": "medium", "question": "Divide 156 m in the ratio 6:7", "options": {"A": "70 m, 86 m", "B": "71 m, 85 m", "C": "72 m, 84 m", "D": "73 m, 83 m"}, "correct_answer": "C"},
    {"id": 47, "difficulty": "medium", "question": "The ratio of copper to zinc in alloy is 5:3. If weight of copper is 45 kg, find zinc weight", "options": {"A": "25 kg", "B": "26 kg", "C": "27 kg", "D": "28 kg"}, "correct_answer": "C"},
    {"id": 48, "difficulty": "medium", "question": "Divide ₹3600 among A, B, C in ratio 4:5:9", "options": {"A": "₹700, ₹1000, ₹1900", "B": "₹750, ₹1050, ₹1800", "C": "₹800, ₹1000, ₹1800", "D": "₹850, ₹950, ₹1800"}, "correct_answer": "C"},
    {"id": 49, "difficulty": "medium", "question": "Two numbers are in ratio 17:21. If difference is 28, find numbers", "options": {"A": "115, 143", "B": "116, 144", "C": "117, 145", "D": "119, 147"}, "correct_answer": "D"},
    {"id": 50, "difficulty": "medium", "question": "The ratio of sugar to tea in mixture is 2:7. If sugar is 12 kg, find tea quantity", "options": {"A": "40 kg", "B": "41 kg", "C": "42 kg", "D": "43 kg"}, "correct_answer": "C"},
    {"id": 51, "difficulty": "medium", "question": "Divide 180 liters in ratio 7:8", "options": {"A": "82 L, 98 L", "B": "83 L, 97 L", "C": "84 L, 96 L", "D": "85 L, 95 L"}, "correct_answer": "C"},
    {"id": 52, "difficulty": "medium", "question": "Two numbers are in ratio 19:23. If sum is 168, find numbers", "options": {"A": "74, 94", "B": "75, 93", "C": "76, 92", "D": "77, 91"}, "correct_answer": "C"},
    {"id": 53, "difficulty": "medium", "question": "Divide ₹4200 between X and Y in ratio 6:8", "options": {"A": "₹1700, ₹2500", "B": "₹1750, ₹2450", "C": "₹1800, ₹2400", "D": "₹1850, ₹2350"}, "correct_answer": "C"},
    {"id": 54, "difficulty": "medium", "question": "The ratio of apples to oranges is 9:11. If apples are 72, find oranges", "options": {"A": "86", "B": "87", "C": "88", "D": "89"}, "correct_answer": "C"},
    {"id": 55, "difficulty": "medium", "question": "Two numbers are in ratio 21:25. If larger is 125, find smaller", "options": {"A": "102", "B": "103", "C": "104", "D": "105"}, "correct_answer": "D"},
    {"id": 56, "difficulty": "medium", "question": "Divide 204 kg in ratio 8:9", "options": {"A": "94 kg, 110 kg", "B": "95 kg, 109 kg", "C": "96 kg, 108 kg", "D": "97 kg, 107 kg"}, "correct_answer": "C"},
    {"id": 57, "difficulty": "medium", "question": "The ratio of water to milk is 1:4. If water is 5 liters, find milk quantity", "options": {"A": "18 L", "B": "19 L", "C": "20 L", "D": "21 L"}, "correct_answer": "C"},
    {"id": 58, "difficulty": "medium", "question": "Divide ₹4800 among P, Q, R in ratio 5:6:7", "options": {"A": "₹1200, ₹1600, ₹2000", "B": "₹1250, ₹1650, ₹1900", "C": "₹1300, ₹1600, ₹1900", "D": "₹1350, ₹1550, ₹1900"}, "correct_answer": "A"},
    {"id": 59, "difficulty": "medium", "question": "Two numbers are in ratio 23:27. If difference is 36, find numbers", "options": {"A": "205, 241", "B": "206, 242", "C": "207, 243", "D": "208, 244"}, "correct_answer": "C"},
    {"id": 60, "difficulty": "medium", "question": "The ratio of cement to sand is 3:5. If cement is 27 bags, find sand bags", "options": {"A": "43", "B": "44", "C": "45", "D": "46"}, "correct_answer": "C"},
    {"id": 61, "difficulty": "medium", "question": "Divide 228 m in ratio 9:10", "options": {"A": "106 m, 122 m", "B": "107 m, 121 m", "C": "108 m, 120 m", "D": "109 m, 119 m"}, "correct_answer": "C"},
    {"id": 62, "difficulty": "medium", "question": "Two numbers are in ratio 25:29. If sum is 216, find numbers", "options": {"A": "98, 118", "B": "99, 117", "C": "100, 116", "D": "101, 115"}, "correct_answer": "C"},
    {"id": 63, "difficulty": "medium", "question": "Divide ₹5400 between A and B in ratio 7:11", "options": {"A": "₹2050, ₹3350", "B": "₹2100, ₹3300", "C": "₹2150, ₹3250", "D": "₹2200, ₹3200"}, "correct_answer": "B"},
    {"id": 64, "difficulty": "medium", "question": "The ratio of boys to girls is 13:15. If boys are 78, find girls", "options": {"A": "88", "B": "89", "C": "90", "D": "91"}, "correct_answer": "C"},
    {"id": 65, "difficulty": "medium", "question": "Two numbers are in ratio 27:31. If larger is 155, find smaller", "options": {"A": "133", "B": "134", "C": "135", "D": "136"}, "correct_answer": "C"},
    {"id": 66, "difficulty": "medium", "question": "Divide 252 liters in ratio 11:13", "options": {"A": "112 L, 140 L", "B": "113 L, 139 L", "C": "114 L, 138 L", "D": "115 L, 137 L"}, "correct_answer": "D"},
    {"id": 67, "difficulty": "medium", "question": "The ratio of income to expense is 8:5. If income is ₹32000, find expense", "options": {"A": "₹19500", "B": "₹20000", "C": "₹20500", "D": "₹21000"}, "correct_answer": "B"},
    {"id": 68, "difficulty": "medium", "question": "Divide ₹6000 among X, Y, Z in ratio 6:7:11", "options": {"A": "₹1400, ₹1800, ₹2800", "B": "₹1450, ₹1750, ₹2800", "C": "₹1500, ₹1750, ₹2750", "D": "₹1550, ₹1700, ₹2750"}, "correct_answer": "C"},
    {"id": 69, "difficulty": "medium", "question": "Two numbers are in ratio 29:33. If difference is 44, find numbers", "options": {"A": "316, 360", "B": "317, 361", "C": "318, 362", "D": "319, 363"}, "correct_answer": "D"},
    {"id": 70, "difficulty": "medium", "question": "The ratio of wheat to rice is 4:7. If wheat is 32 kg, find rice quantity", "options": {"A": "54 kg", "B": "55 kg", "C": "56 kg", "D": "57 kg"}, "correct_answer": "C"},
    {"id": 71, "difficulty": "medium", "question": "Divide 276 kg in ratio 12:13", "options": {"A": "130 kg, 146 kg", "B": "131 kg, 145 kg", "C": "132 kg, 144 kg", "D": "133 kg, 143 kg"}, "correct_answer": "C"},
    {"id": 72, "difficulty": "medium", "question": "Two numbers are in ratio 31:35. If sum is 264, find numbers", "options": {"A": "122, 142", "B": "123, 141", "C": "124, 140", "D": "125, 139"}, "correct_answer": "C"},
    {"id": 73, "difficulty": "medium", "question": "Divide ₹6600 between P and Q in ratio 8:9", "options": {"A": "₹3050, ₹3550", "B": "₹3100, ₹3500", "C": "₹3150, ₹3450", "D": "₹3200, ₹3400"}, "correct_answer": "B"},
    {"id": 74, "difficulty": "medium", "question": "The ratio of teachers to students is 1:25. If teachers are 12, find students", "options": {"A": "298", "B": "299", "C": "300", "D": "301"}, "correct_answer": "C"},
    {"id": 75, "difficulty": "medium", "question": "Two numbers are in ratio 33:37. If larger is 185, find smaller", "options": {"A": "163", "B": "164", "C": "165", "D": "166"}, "correct_answer": "C"},
    {"id": 76, "difficulty": "medium", "question": "Divide 300 m in ratio 13:17", "options": {"A": "128 m, 172 m", "B": "129 m, 171 m", "C": "130 m, 170 m", "D": "131 m, 169 m"}, "correct_answer": "C"},
    {"id": 77, "difficulty": "medium", "question": "The ratio of salt to water is 2:15. If salt is 8 g, find water quantity", "options": {"A": "58 g", "B": "59 g", "C": "60 g", "D": "61 g"}, "correct_answer": "C"},
    {"id": 78, "difficulty": "medium", "question": "Divide ₹7200 among A, B, C in ratio 7:8:9", "options": {"A": "₹2000, ₹2400, ₹2800", "B": "₹2050, ₹2350, ₹2800", "C": "₹2100, ₹2400, ₹2700", "D": "₹2150, ₹2350, ₹2700"}, "correct_answer": "C"},
    {"id": 79, "difficulty": "medium", "question": "Two numbers are in ratio 35:39. If difference is 52, find numbers", "options": {"A": "455, 507", "B": "456, 508", "C": "457, 509", "D": "458, 510"}, "correct_answer": "A"},
    {"id": 80, "difficulty": "medium", "question": "The ratio of coffee to milk is 3:8. If coffee is 15 cups, find milk cups", "options": {"A": "38", "B": "39", "C": "40", "D": "41"}, "correct_answer": "C"},

    {"id": 81, "difficulty": "hard", "question": "If a:b = 3:4 and b:c = 8:9, find a:b:c", "options": {"A": "3:4:9", "B": "6:8:9", "C": "12:16:18", "D": "24:32:36"}, "correct_answer": "B"},
    {"id": 82, "difficulty": "hard", "question": "Divide ₹6500 among A, B, C such that A:B = 2:3 and B:C = 4:5", "options": {"A": "₹1400, ₹2400, ₹2700", "B": "₹1500, ₹2300, ₹2700", "C": "₹1600, ₹2400, ₹2500", "D": "₹1700, ₹2300, ₹2500"}, "correct_answer": "C"},
    {"id": 83, "difficulty": "hard", "question": "If 2A = 3B = 4C, find A:B:C", "options": {"A": "6:4:3", "B": "12:8:6", "C": "18:12:9", "D": "24:16:12"}, "correct_answer": "A"},
    {"id": 84, "difficulty": "hard", "question": "The ratio of angles of triangle is 2:3:4. Find the largest angle", "options": {"A": "60°", "B": "70°", "C": "80°", "D": "90°"}, "correct_answer": "C"},
    {"id": 85, "difficulty": "hard", "question": "If a/2 = b/3 = c/4, find a:b:c", "options": {"A": "2:3:4", "B": "4:6:8", "C": "6:9:12", "D": "8:12:16"}, "correct_answer": "A"},
    {"id": 86, "difficulty": "hard", "question": "Divide ₹8400 among X, Y, Z such that X:Y = 5:6 and Y:Z = 3:4", "options": {"A": "₹2000, ₹2800, ₹3600", "B": "₹2100, ₹2700, ₹3600", "C": "₹2200, ₹2600, ₹3600", "D": "₹2300, ₹2500, ₹3600"}, "correct_answer": "B"},
    {"id": 87, "difficulty": "hard", "question": "If 3x = 4y = 5z, find x:y:z", "options": {"A": "20:15:12", "B": "15:12:10", "C": "12:10:8", "D": "10:8:6"}, "correct_answer": "A"},
    {"id": 88, "difficulty": "hard", "question": "The ratio of sides of triangle is 3:4:5. If perimeter is 60 cm, find longest side", "options": {"A": "20 cm", "B": "22 cm", "C": "24 cm", "D": "25 cm"}, "correct_answer": "D"},
    {"id": 89, "difficulty": "hard", "question": "If p/3 = q/4 = r/5, find p:q:r", "options": {"A": "3:4:5", "B": "6:8:10", "C": "9:12:15", "D": "12:16:20"}, "correct_answer": "A"},
    {"id": 90, "difficulty": "hard", "question": "Divide ₹9600 among P, Q, R such that P:Q = 4:5 and Q:R = 6:7", "options": {"A": "₹2000, ₹3000, ₹4600", "B": "₹2100, ₹2900, ₹4600", "C": "₹2200, ₹2800, ₹4600", "D": "₹2300, ₹2700, ₹4600"}, "correct_answer": "A"},
    {"id": 91, "difficulty": "hard", "question": "If 4a = 5b = 6c, find a:b:c", "options": {"A": "15:12:10", "B": "30:24:20", "C": "45:36:30", "D": "60:48:40"}, "correct_answer": "A"},
    {"id": 92, "difficulty": "hard", "question": "The ratio of angles in quadrilateral is 1:2:3:4. Find largest angle", "options": {"A": "100°", "B": "120°", "C": "140°", "D": "144°"}, "correct_answer": "D"},
    {"id": 93, "difficulty": "hard", "question": "If m/5 = n/6 = o/7, find m:n:o", "options": {"A": "5:6:7", "B": "10:12:14", "C": "15:18:21", "D": "20:24:28"}, "correct_answer": "A"},
    {"id": 94, "difficulty": "hard", "question": "Divide ₹10800 among A, B, C such that A:B = 7:8 and B:C = 2:3", "options": {"A": "₹2800, ₹3600, ₹4400", "B": "₹2900, ₹3500, ₹4400", "C": "₹3000, ₹3400, ₹4400", "D": "₹3100, ₹3300, ₹4400"}, "correct_answer": "A"},
    {"id": 95, "difficulty": "hard", "question": "If 5x = 6y = 7z, find x:y:z", "options": {"A": "42:35:30", "B": "35:30:25", "C": "30:25:20", "D": "25:20:15"}, "correct_answer": "A"},
    {"id": 96, "difficulty": "hard", "question": "The ratio of money with A, B, C is 2:3:5. If C has ₹150 more than A, find B's money", "options": {"A": "₹140", "B": "₹145", "C": "₹150", "D": "₹155"}, "correct_answer": "C"},
    {"id": 97, "difficulty": "hard", "question": "If a/7 = b/8 = c/9, find a:b:c", "options": {"A": "7:8:9", "B": "14:16:18", "C": "21:24:27", "D": "28:32:36"}, "correct_answer": "A"},
    {"id": 98, "difficulty": "hard", "question": "Divide ₹12600 among X, Y, Z such that X:Y = 3:4 and Y:Z = 5:6", "options": {"A": "₹3000, ₹4500, ₹5100", "B": "₹3100, ₹4400, ₹5100", "C": "₹3200, ₹4300, ₹5100", "D": "₹3300, ₹4200, ₹5100"}, "correct_answer": "A"},
    {"id": 99, "difficulty": "hard", "question": "If 6p = 7q = 8r, find p:q:r", "options": {"A": "28:24:21", "B": "24:21:18", "C": "21:18:15", "D": "18:15:12"}, "correct_answer": "A"},
    {"id": 100, "difficulty": "hard", "question": "The ratio of three numbers is 2:3:4. If sum of squares is 725, find middle number", "options": {"A": "13", "B": "14", "C": "15", "D": "16"}, "correct_answer": "C"}
 ,
{"id":101,"difficulty":"hard","question":"If a:b = 4:7 and b:c = 14:9, find a:b:c","options":{"A":"4:7:9","B":"8:14:9","C":"8:14:18","D":"16:28:18"},"correct_answer":"B"},
  {"id":102,"difficulty":"hard","question":"Divide ₹7200 among A, B, C such that A:B = 3:5 and B:C = 10:7","options":{"A":"₹1200, ₹2000, ₹2800","B":"₹1350, ₹2250, ₹3600","C":"₹1500, ₹2500, ₹3200","D":"₹1800, ₹3000, ₹2400"},"correct_answer":"C"},
  {"id":103,"difficulty":"hard","question":"If 5x = 6y = 10z, find x:y:z","options":{"A":"12:10:6","B":"6:5:3","C":"10:8:6","D":"15:12:10"},"correct_answer":"A"},
  {"id":104,"difficulty":"hard","question":"The ratio of angles of a triangle is 4:5:6. Find the smallest angle","options":{"A":"40°","B":"45°","C":"50°","D":"60°"},"correct_answer":"C"},
  {"id":105,"difficulty":"hard","question":"If a/3 = b/5 = c/7, find a:b:c","options":{"A":"3:5:7","B":"15:21:35","C":"21:15:9","D":"35:21:15"},"correct_answer":"A"},
  {"id":106,"difficulty":"hard","question":"Divide ₹9600 among P, Q, R such that P:Q = 5:8 and Q:R = 4:7","options":{"A":"₹2000, ₹3200, ₹4400","B":"₹2400, ₹3840, ₹3360","C":"₹2500, ₹4000, ₹3100","D":"₹2800, ₹4480, ₹2320"},"correct_answer":"B"},
  {"id":107,"difficulty":"hard","question":"If 7m = 9n = 21p, find m:n:p","options":{"A":"27:21:9","B":"21:27:9","C":"9:7:3","D":"18:14:6"},"correct_answer":"C"},
  {"id":108,"difficulty":"hard","question":"The ratio of sides of a triangle is 5:12:13. If perimeter is 60 cm, find smallest side","options":{"A":"10 cm","B":"12 cm","C":"15 cm","D":"20 cm"},"correct_answer":"C"},
  {"id":109,"difficulty":"hard","question":"If p/4 = q/6 = r/9, find p:q:r","options":{"A":"4:6:9","B":"12:18:27","C":"18:12:8","D":"9:6:4"},"correct_answer":"A"},
  {"id":110,"difficulty":"hard","question":"Divide ₹15000 among A, B, C such that A:B = 6:5 and B:C = 10:9","options":{"A":"₹5400, ₹4500, ₹5100","B":"₹6000, ₹5000, ₹4000","C":"₹4800, ₹4000, ₹6200","D":"₹4500, ₹3750, ₹6750"},"correct_answer":"A"},

  {"id":111,"difficulty":"hard","question":"If 8x = 10y = 5z, find x:y:z","options":{"A":"5:4:8","B":"4:5:8","C":"8:5:4","D":"10:8:5"},"correct_answer":"A"},
  {"id":112,"difficulty":"hard","question":"The ratio of angles of a quadrilateral is 2:3:4:5. Find the largest angle","options":{"A":"100°","B":"120°","C":"140°","D":"150°"},"correct_answer":"D"},
  {"id":113,"difficulty":"hard","question":"If a:b:c = 5:7:9 and a+b+c = 105, find c","options":{"A":"35","B":"40","C":"45","D":"50"},"correct_answer":"C"},
  {"id":114,"difficulty":"hard","question":"Divide ₹8400 among X, Y, Z such that X:Y = 7:5 and Y:Z = 10:9","options":{"A":"₹2800, ₹2000, ₹3600","B":"₹3000, ₹2140, ₹3260","C":"₹3150, ₹2250, ₹3000","D":"₹3500, ₹2500, ₹2400"},"correct_answer":"A"},
  {"id":115,"difficulty":"hard","question":"If 9a = 12b = 18c, find a:b:c","options":{"A":"4:3:2","B":"6:4:3","C":"12:9:6","D":"18:12:9"},"correct_answer":"A"},
  {"id":116,"difficulty":"hard","question":"The ratio of two numbers is 11:17. If their sum is 196, find the smaller number","options":{"A":"77","B":"88","C":"99","D":"110"},"correct_answer":"B"},
  {"id":117,"difficulty":"hard","question":"If x:y = 7:9 and y:z = 6:5, find x:y:z","options":{"A":"42:54:45","B":"14:18:15","C":"7:9:5","D":"21:27:25"},"correct_answer":"B"},
  {"id":118,"difficulty":"hard","question":"Divide ₹12600 among A, B, C such that A:B = 4:7 and B:C = 14:15","options":{"A":"₹2400, ₹4200, ₹6000","B":"₹2800, ₹4900, ₹4900","C":"₹3000, ₹5250, ₹4350","D":"₹3200, ₹5600, ₹3800"},"correct_answer":"A"},
  {"id":119,"difficulty":"hard","question":"If p:q = 13:17 and p − q = 52, find q","options":{"A":"221","B":"204","C":"289","D":"272"},"correct_answer":"B"},
  {"id":120,"difficulty":"hard","question":"If 4x = 6y = 9z, find x:y:z","options":{"A":"27:18:12","B":"18:12:8","C":"9:6:4","D":"12:8:6"},"correct_answer":"C"},

  {"id":121,"difficulty":"hard","question":"The ratio of milk to water is 7:3. How much water must be added to 70 L mixture to make ratio 7:5?","options":{"A":"10 L","B":"15 L","C":"20 L","D":"25 L"},"correct_answer":"C"},
  {"id":122,"difficulty":"hard","question":"If a:b = 5:9 and (a+b) = 196, find a","options":{"A":"70","B":"75","C":"80","D":"85"},"correct_answer":"C"},
  {"id":123,"difficulty":"hard","question":"Divide ₹9600 among A, B, C in the ratio 2:5:9","options":{"A":"₹1200, ₹3000, ₹5400","B":"₹1500, ₹2500, ₹5600","C":"₹1600, ₹4000, ₹4000","D":"₹1800, ₹3600, ₹4200"},"correct_answer":"A"},
  {"id":124,"difficulty":"hard","question":"If m:n = 11:13 and n:p = 26:21, find m:n:p","options":{"A":"22:26:21","B":"11:13:21","C":"44:52:42","D":"11:26:21"},"correct_answer":"A"},
  {"id":125,"difficulty":"hard","question":"The ratio of boys to girls is 7:9. If total students are 320, find girls","options":{"A":"144","B":"168","C":"180","D":"192"},"correct_answer":"D"},
  {"id":126,"difficulty":"hard","question":"If 12x = 15y = 20z, find x:y:z","options":{"A":"5:4:3","B":"4:5:6","C":"6:5:4","D":"10:8:6"},"correct_answer":"A"},
  {"id":127,"difficulty":"hard","question":"Divide ₹10800 among P, Q, R such that P:Q = 9:7 and Q:R = 14:15","options":{"A":"₹3600, ₹2800, ₹4400","B":"₹3780, ₹2940, ₹4080","C":"₹4000, ₹3111, ₹3689","D":"₹4200, ₹3267, ₹3333"},"correct_answer":"A"},
  {"id":128,"difficulty":"hard","question":"If a:b:c = 6:10:15 and a+b+c = 124, find b","options":{"A":"30","B":"40","C":"50","D":"60"},"correct_answer":"B"},
  {"id":129,"difficulty":"hard","question":"The ratio of two numbers is 17:23. If difference is 72, find larger number","options":{"A":"184","B":"207","C":"234","D":"289"},"correct_answer":"C"},
  {"id":130,"difficulty":"hard","question":"If p/5 = q/8 = r/10, find p:q:r","options":{"A":"5:8:10","B":"10:16:20","C":"20:32:40","D":"40:64:80"},"correct_answer":"A"},

  {"id":131,"difficulty":"hard","question":"Divide ₹14400 among A, B, C such that A:B = 8:5 and B:C = 10:9","options":{"A":"₹4800, ₹3000, ₹6600","B":"₹5000, ₹3125, ₹6275","C":"₹5200, ₹3250, ₹5950","D":"₹5400, ₹3375, ₹5625"},"correct_answer":"A"},
  {"id":132,"difficulty":"hard","question":"If 7x = 14y = 21z, find x:y:z","options":{"A":"6:3:2","B":"3:2:1","C":"2:1:1","D":"4:3:2"},"correct_answer":"A"},
  {"id":133,"difficulty":"hard","question":"The ratio of angles of a triangle is 1:2:3. Find the largest angle","options":{"A":"60°","B":"90°","C":"120°","D":"150°"},"correct_answer":"C"},
  {"id":134,"difficulty":"hard","question":"If a:b = 9:11 and a − b = 44, find a","options":{"A":"176","B":"180","C":"198","D":"220"},"correct_answer":"C"},
  {"id":135,"difficulty":"hard","question":"Divide ₹18000 among X, Y, Z in ratio 5:6:9","options":{"A":"₹5000, ₹6000, ₹7000","B":"₹4500, ₹5400, ₹8100","C":"₹4800, ₹5760, ₹7440","D":"₹5200, ₹6240, ₹6560"},"correct_answer":"B"},
  {"id":136,"difficulty":"hard","question":"If 10m = 15n = 20p, find m:n:p","options":{"A":"6:4:3","B":"4:3:2","C":"5:4:3","D":"8:6:5"},"correct_answer":"A"},
  {"id":137,"difficulty":"hard","question":"The ratio of copper to zinc in alloy is 7:5. If total weight is 96 kg, find zinc","options":{"A":"40 kg","B":"42 kg","C":"45 kg","D":"48 kg"},"correct_answer":"B"},
  {"id":138,"difficulty":"hard","question":"If x:y:z = 4:7:9 and x+z = 78, find y","options":{"A":"35","B":"42","C":"49","D":"56"},"correct_answer":"B"},
  {"id":139,"difficulty":"hard","question":"Divide ₹21000 among A, B, C such that A:B = 3:4 and B:C = 8:9","options":{"A":"₹6000, ₹8000, ₹7000","B":"₹6300, ₹8400, ₹6300","C":"₹6500, ₹7800, ₹6700","D":"₹7000, ₹8400, ₹5600"},"correct_answer":"B"},
  {"id":140,"difficulty":"hard","question":"If 6p = 9q = 18r, find p:q:r","options":{"A":"6:4:2","B":"4:3:2","C":"3:2:1","D":"9:6:3"},"correct_answer":"C"},

  {"id":141,"difficulty":"hard","question":"The ratio of sugar to flour is 5:8. If flour is 64 kg, find sugar","options":{"A":"35 kg","B":"40 kg","C":"45 kg","D":"50 kg"},"correct_answer":"B"},
  {"id":142,"difficulty":"hard","question":"If a:b = 14:19 and a+b = 264, find b","options":{"A":"132","B":"144","C":"156","D":"168"},"correct_answer":"C"},
  {"id":143,"difficulty":"hard","question":"Divide ₹16200 among P, Q, R such that P:Q = 9:11 and Q:R = 22:25","options":{"A":"₹5400, ₹6600, ₹4200","B":"₹6000, ₹7333, ₹2867","C":"₹6300, ₹7700, ₹2200","D":"₹6480, ₹7920, ₹1800"},"correct_answer":"A"},
  {"id":144,"difficulty":"hard","question":"If 12x = 18y = 24z, find x:y:z","options":{"A":"6:4:3","B":"4:3:2","C":"3:2:1","D":"12:9:6"},"correct_answer":"B"},
  {"id":145,"difficulty":"hard","question":"The ratio of ages of A and B is 7:11. After 6 years it becomes 5:7. Find present age of A","options":{"A":"21","B":"28","C":"35","D":"42"},"correct_answer":"C"},
  {"id":146,"difficulty":"hard","question":"Divide ₹19800 among A, B, C in ratio 11:9:7","options":{"A":"₹6600, ₹5400, ₹4200","B":"₹7200, ₹5900, ₹3700","C":"₹7700, ₹6300, ₹3800","D":"₹8000, ₹5200, ₹3600"},"correct_answer":"A"},
  {"id":147,"difficulty":"hard","question":"If p:q = 19:23 and p+q = 336, find p","options":{"A":"152","B":"160","C":"168","D":"176"},"correct_answer":"C"},
  {"id":148,"difficulty":"hard","question":"If 8a = 12b = 24c, find a:b:c","options":{"A":"6:4:2","B":"4:3:1","C":"3:2:1","D":"12:8:4"},"correct_answer":"B"},
  {"id":149,"difficulty":"hard","question":"The ratio of oil to kerosene is 9:11. If oil is 81 L, find kerosene","options":{"A":"88 L","B":"90 L","C":"99 L","D":"110 L"},"correct_answer":"C"},
  {"id":150,"difficulty":"hard","question":"The ratio of three numbers is 3:5:7. If sum of squares is 1083, find the largest number","options":{"A":"14","B":"21","C":"28","D":"35"},"correct_answer":"C"}
 ]
}