{
  "title": "Cube Numbers and Patterns (Cubes and Cube Roots) - Grade 8 CBSE",
  "total_questions": 100,
  "questions": [
    {"id": 1, "difficulty": "easy", "question": "What is 2³?", "options": {"A": "6", "B": "7", "C": "8", "D": "9"}, "correct_answer": "C"},
    {"id": 2, "difficulty": "easy", "question": "What is 3³?", "options": {"A": "26", "B": "27", "C": "28", "D": "29"}, "correct_answer": "B"},
    {"id": 3, "difficulty": "easy", "question": "What is 4³?", "options": {"A": "63", "B": "64", "C": "65", "D": "66"}, "correct_answer": "B"},
    {"id": 4, "difficulty": "easy", "question": "What is 5³?", "options": {"A": "124", "B": "125", "C": "126", "D": "127"}, "correct_answer": "B"},
    {"id": 5, "difficulty": "easy", "question": "What is 6³?", "options": {"A": "215", "B": "216", "C": "217", "D": "218"}, "correct_answer": "B"},
    {"id": 6, "difficulty": "easy", "question": "What is 7³?", "options": {"A": "342", "B": "343", "C": "344", "D": "345"}, "correct_answer": "B"},
    {"id": 7, "difficulty": "easy", "question": "What is 8³?", "options": {"A": "511", "B": "512", "C": "513", "D": "514"}, "correct_answer": "B"},
    {"id": 8, "difficulty": "easy", "question": "What is 9³?", "options": {"A": "728", "B": "729", "C": "730", "D": "731"}, "correct_answer": "B"},
    {"id": 9, "difficulty": "easy", "question": "What is 10³?", "options": {"A": "999", "B": "1000", "C": "1001", "D": "1002"}, "correct_answer": "B"},
    {"id": 10, "difficulty": "easy", "question": "What is 1³?", "options": {"A": "0", "B": "1", "C": "2", "D": "3"}, "correct_answer": "B"},
    {"id": 11, "difficulty": "easy", "question": "Cube of 11?", "options": {"A": "1330", "B": "1331", "C": "1332", "D": "1333"}, "correct_answer": "B"},
    {"id": 12, "difficulty": "easy", "question": "Cube of 12?", "options": {"A": "1727", "B": "1728", "C": "1729", "D": "1730"}, "correct_answer": "B"},
    {"id": 13, "difficulty": "easy", "question": "Cube of 15?", "options": {"A": "3374", "B": "3375", "C": "3376", "D": "3377"}, "correct_answer": "B"},
    {"id": 14, "difficulty": "easy", "question": "Cube of 20?", "options": {"A": "7999", "B": "8000", "C": "8001", "D": "8002"}, "correct_answer": "B"},
    {"id": 15, "difficulty": "easy", "question": "Which is perfect cube: 27 or 28?", "options": {"A": "27", "B": "28", "C": "Both", "D": "Neither"}, "correct_answer": "A"},
    {"id": 16, "difficulty": "easy", "question": "Which is perfect cube: 64 or 65?", "options": {"A": "64", "B": "65", "C": "Both", "D": "Neither"}, "correct_answer": "A"},
    {"id": 17, "difficulty": "easy", "question": "Cube of 0.1?", "options": {"A": "0.001", "B": "0.01", "C": "0.1", "D": "1"}, "correct_answer": "A"},
    {"id": 18, "difficulty": "easy", "question": "Cube of 0.2?", "options": {"A": "0.004", "B": "0.008", "C": "0.012", "D": "0.016"}, "correct_answer": "B"},
    {"id": 19, "difficulty": "easy", "question": "(-2)³ = ?", "options": {"A": "-6", "B": "-7", "C": "-8", "D": "-9"}, "correct_answer": "C"},
    {"id": 20, "difficulty": "easy", "question": "(-3)³ = ?", "options": {"A": "-26", "B": "-27", "C": "-28", "D": "-29"}, "correct_answer": "B"},
    {"id": 21, "difficulty": "medium", "question": "What is cube of 1.5?", "options": {"A": "3.275", "B": "3.375", "C": "3.475", "D": "3.575"}, "correct_answer": "B"},
    {"id": 22, "difficulty": "medium", "question": "What is cube of 2.5?", "options": {"A": "15.525", "B": "15.625", "C": "15.725", "D": "15.825"}, "correct_answer": "B"},
    {"id": 23, "difficulty": "medium", "question": "Which is perfect cube: 216, 217, or 219?", "options": {"A": "216", "B": "217", "C": "219", "D": "None"}, "correct_answer": "A"},
    {"id": 24, "difficulty": "medium", "question": "Find smallest number by which 72 must be multiplied to get perfect cube.", "options": {"A": "2", "B": "3", "C": "4", "D": "5"}, "correct_answer": "B"},
    {"id": 25, "difficulty": "medium", "question": "Find smallest number by which 108 must be multiplied to get perfect cube.", "options": {"A": "2", "B": "3", "C": "4", "D": "5"}, "correct_answer": "A"},
    {"id": 26, "difficulty": "medium", "question": "What is cube of 14?", "options": {"A": "2743", "B": "2744", "C": "2745", "D": "2746"}, "correct_answer": "B"},
    {"id": 27, "difficulty": "medium", "question": "What is cube of 16?", "options": {"A": "4095", "B": "4096", "C": "4097", "D": "4098"}, "correct_answer": "B"},
    {"id": 28, "difficulty": "medium", "question": "Cube of 25?", "options": {"A": "15624", "B": "15625", "C": "15626", "D": "15627"}, "correct_answer": "B"},
    {"id": 29, "difficulty": "medium", "question": "If n³=343, n=?", "options": {"A": "6", "B": "7", "C": "8", "D": "9"}, "correct_answer": "B"},
    {"id": 30, "difficulty": "medium", "question": "If n³=512, n=?", "options": {"A": "7", "B": "8", "C": "9", "D": "10"}, "correct_answer": "B"},
    {"id": 31, "difficulty": "medium", "question": "Cube of 0.5?", "options": {"A": "0.125", "B": "0.25", "C": "0.5", "D": "1"}, "correct_answer": "A"},
    {"id": 32, "difficulty": "medium", "question": "Cube of 0.01?", "options": {"A": "0.000001", "B": "0.00001", "C": "0.0001", "D": "0.001"}, "correct_answer": "A"},
    {"id": 33, "difficulty": "medium", "question": "(-4)³ = ?", "options": {"A": "-63", "B": "-64", "C": "-65", "D": "-66"}, "correct_answer": "B"},
    {"id": 34, "difficulty": "medium", "question": "(-5)³ = ?", "options": {"A": "-124", "B": "-125", "C": "-126", "D": "-127"}, "correct_answer": "B"},
    {"id": 35, "difficulty": "medium", "question": "Which number's cube ends with 7?", "options": {"A": "3", "B": "4", "C": "5", "D": "6"}, "correct_answer": "A"},
    {"id": 36, "difficulty": "medium", "question": "Which number's cube ends with 4?", "options": {"A": "2", "B": "3", "C": "4", "D": "5"}, "correct_answer": "C"},
    {"id": 37, "difficulty": "medium", "question": "Cube of 1.2?", "options": {"A": "1.728", "B": "1.828", "C": "1.928", "D": "2.028"}, "correct_answer": "A"},
    {"id": 38, "difficulty": "medium", "question": "Cube of 3.5?", "options": {"A": "42.875", "B": "42.975", "C": "43.075", "D": "43.175"}, "correct_answer": "A"},
    {"id": 39, "difficulty": "medium", "question": "Smallest number to divide 256 to get perfect cube.", "options": {"A": "2", "B": "4", "C": "8", "D": "16"}, "correct_answer": "B"},
    {"id": 40, "difficulty": "medium", "question": "Smallest number to divide 375 to get perfect cube.", "options": {"A": "3", "B": "5", "C": "15", "D": "25"}, "correct_answer": "A"},
    {"id": 41, "difficulty": "medium", "question": "Cube of 18?", "options": {"A": "5831", "B": "5832", "C": "5833", "D": "5834"}, "correct_answer": "B"},
    {"id": 42, "difficulty": "medium", "question": "Cube of 22?", "options": {"A": "10647", "B": "10648", "C": "10649", "D": "10650"}, "correct_answer": "B"},
    {"id": 43, "difficulty": "medium", "question": "If n³=729, n=?", "options": {"A": "8", "B": "9", "C": "10", "D": "11"}, "correct_answer": "B"},
    {"id": 44, "difficulty": "medium", "question": "If n³=1000, n=?", "options": {"A": "9", "B": "10", "C": "11", "D": "12"}, "correct_answer": "B"},
    {"id": 45, "difficulty": "medium", "question": "Cube of 0.25?", "options": {"A": "0.015625", "B": "0.15625", "C": "0.016625", "D": "0.016725"}, "correct_answer": "A"},
    {"id": 46, "difficulty": "medium", "question": "Cube of 0.04?", "options": {"A": "0.000064", "B": "0.00064", "C": "0.0064", "D": "0.064"}, "correct_answer": "A"},
    {"id": 47, "difficulty": "medium", "question": "(-6)³ = ?", "options": {"A": "-215", "B": "-216", "C": "-217", "D": "-218"}, "correct_answer": "B"},
    {"id": 48, "difficulty": "medium", "question": "(-10)³ = ?", "options": {"A": "-999", "B": "-1000", "C": "-1001", "D": "-1002"}, "correct_answer": "B"},
    {"id": 49, "difficulty": "medium", "question": "Cube of which number ends with 3?", "options": {"A": "5", "B": "6", "C": "7", "D": "8"}, "correct_answer": "C"},
    {"id": 50, "difficulty": "medium", "question": "Cube of which number ends with 6?", "options": {"A": "4", "B": "5", "C": "6", "D": "7"}, "correct_answer": "C"},
    {"id": 51, "difficulty": "medium", "question": "Cube of 2.2?", "options": {"A": "10.648", "B": "10.748", "C": "10.848", "D": "10.948"}, "correct_answer": "A"},
    {"id": 52, "difficulty": "medium", "question": "Cube of 4.5?", "options": {"A": "91.125", "B": "91.225", "C": "91.325", "D": "91.425"}, "correct_answer": "A"},
    {"id": 53, "difficulty": "medium", "question": "Smallest number to multiply 135 to get perfect cube.", "options": {"A": "3", "B": "5", "C": "9", "D": "25"}, "correct_answer": "B"},
    {"id": 54, "difficulty": "medium", "question": "Smallest number to divide 500 to get perfect cube.", "options": {"A": "2", "B": "4", "C": "5", "D": "10"}, "correct_answer": "B"},
    {"id": 55, "difficulty": "medium", "question": "Cube of 24?", "options": {"A": "13823", "B": "13824", "C": "13825", "D": "13826"}, "correct_answer": "B"},
    {"id": 56, "difficulty": "medium", "question": "Cube of 30?", "options": {"A": "26999", "B": "27000", "C": "27001", "D": "27002"}, "correct_answer": "B"},
    {"id": 57, "difficulty": "medium", "question": "If n³=1331, n=?", "options": {"A": "10", "B": "11", "C": "12", "D": "13"}, "correct_answer": "B"},
    {"id": 58, "difficulty": "medium", "question": "If n³=1728, n=?", "options": {"A": "11", "B": "12", "C": "13", "D": "14"}, "correct_answer": "B"},
    {"id": 59, "difficulty": "medium", "question": "Cube of 0.75?", "options": {"A": "0.421875", "B": "0.431875", "C": "0.441875", "D": "0.451875"}, "correct_answer": "A"},
    {"id": 60, "difficulty": "medium", "question": "Cube of 0.08?", "options": {"A": "0.000512", "B": "0.00512", "C": "0.0512", "D": "0.512"}, "correct_answer": "A"},
    {"id": 61, "difficulty": "medium", "question": "(-7)³ = ?", "options": {"A": "-342", "B": "-343", "C": "-344", "D": "-345"}, "correct_answer": "B"},
    {"id": 62, "difficulty": "medium", "question": "(-8)³ = ?", "options": {"A": "-511", "B": "-512", "C": "-513", "D": "-514"}, "correct_answer": "B"},
    {"id": 63, "difficulty": "medium", "question": "Cube of which number ends with 2?", "options": {"A": "6", "B": "7", "C": "8", "D": "9"}, "correct_answer": "C"},
    {"id": 64, "difficulty": "medium", "question": "Cube of which number ends with 8?", "options": {"A": "2", "B": "3", "C": "4", "D": "5"}, "correct_answer": "A"},
    {"id": 65, "difficulty": "medium", "question": "Cube of 3.2?", "options": {"A": "32.768", "B": "33.768", "C": "34.768", "D": "35.768"}, "correct_answer": "A"},
    {"id": 66, "difficulty": "medium", "question": "Cube of 5.5?", "options": {"A": "166.375", "B": "167.375", "C": "168.375", "D": "169.375"}, "correct_answer": "A"},
    {"id": 67, "difficulty": "medium", "question": "Smallest number to multiply 200 to get perfect cube.", "options": {"A": "2", "B": "5", "C": "10", "D": "20"}, "correct_answer": "B"},
    {"id": 68, "difficulty": "medium", "question": "Smallest number to divide 864 to get perfect cube.", "options": {"A": "2", "B": "3", "C": "4", "D": "6"}, "correct_answer": "C"},
    {"id": 69, "difficulty": "medium", "question": "Cube of 32?", "options": {"A": "32767", "B": "32768", "C": "32769", "D": "32770"}, "correct_answer": "B"},
    {"id": 70, "difficulty": "medium", "question": "Cube of 40?", "options": {"A": "63999", "B": "64000", "C": "64001", "D": "64002"}, "correct_answer": "B"},
    {"id": 71, "difficulty": "medium", "question": "If n³=2197, n=?", "options": {"A": "12", "B": "13", "C": "14", "D": "15"}, "correct_answer": "B"},
    {"id": 72, "difficulty": "medium", "question": "If n³=2744, n=?", "options": {"A": "13", "B": "14", "C": "15", "D": "16"}, "correct_answer": "B"},
    {"id": 73, "difficulty": "medium", "question": "Cube of 0.125?", "options": {"A": "0.001953125", "B": "0.002053125", "C": "0.002153125", "D": "0.002253125"}, "correct_answer": "A"},
    {"id": 74, "difficulty": "medium", "question": "Cube of 0.2?", "options": {"A": "0.008", "B": "0.08", "C": "0.8", "D": "8"}, "correct_answer": "A"},
    {"id": 75, "difficulty": "medium", "question": "(-9)³ = ?", "options": {"A": "-728", "B": "-729", "C": "-730", "D": "-731"}, "correct_answer": "B"},
    {"id": 76, "difficulty": "medium", "question": "(-11)³ = ?", "options": {"A": "-1330", "B": "-1331", "C": "-1332", "D": "-1333"}, "correct_answer": "B"},
    {"id": 77, "difficulty": "medium", "question": "Cube of which number ends with 1?", "options": {"A": "1", "B": "9", "C": "Both", "D": "Neither"}, "correct_answer": "C"},
    {"id": 78, "difficulty": "medium", "question": "Cube of which number ends with 5?", "options": {"A": "3", "B": "4", "C": "5", "D": "6"}, "correct_answer": "C"},
    {"id": 79, "difficulty": "medium", "question": "Cube of 6.5?", "options": {"A": "274.625", "B": "275.625", "C": "276.625", "D": "277.625"}, "correct_answer": "A"},
    {"id": 80, "difficulty": "medium", "question": "Cube of 7.5?", "options": {"A": "421.875", "B": "422.875", "C": "423.875", "D": "424.875"}, "correct_answer": "A"},
    {"id": 81, "difficulty": "hard", "question": "Find cube of 105 using pattern.", "options": {"A": "1157625", "B": "1157626", "C": "1157627", "D": "1157628"}, "correct_answer": "A"},
    {"id": 82, "difficulty": "hard", "question": "Find cube of 98 using pattern.", "options": {"A": "941191", "B": "941192", "C": "941193", "D": "941194"}, "correct_answer": "B"},
    {"id": 83, "difficulty": "hard", "question": "If 1³+2³+3³+...+n³=2025, find n.", "options": {"A": "8", "B": "9", "C": "10", "D": "11"}, "correct_answer": "B"},
    {"id": 84, "difficulty": "hard", "question": "Find smallest number to multiply 396 to get perfect cube.", "options": {"A": "11", "B": "22", "C": "33", "D": "44"}, "correct_answer": "B"},
    {"id": 85, "difficulty": "hard", "question": "Find smallest number to divide 1458 to get perfect cube.", "options": {"A": "2", "B": "3", "C": "6", "D": "9"}, "correct_answer": "C"},
    {"id": 86, "difficulty": "hard", "question": "Cube of 1.1?", "options": {"A": "1.331", "B": "1.332", "C": "1.333", "D": "1.334"}, "correct_answer": "A"},
    {"id": 87, "difficulty": "hard", "question": "Cube of 0.9?", "options": {"A": "0.728", "B": "0.729", "C": "0.730", "D": "0.731"}, "correct_answer": "B"},
    {"id": 88, "difficulty": "hard", "question": "If cube of number ends with 44, unit digit of number is?", "options": {"A": "2", "B": "4", "C": "6", "D": "8"}, "correct_answer": "B"},
    {"id": 89, "difficulty": "hard", "question": "Sum of cubes of first 5 natural numbers.", "options": {"A": "224", "B": "225", "C": "226", "D": "227"}, "correct_answer": "B"},
    {"id": 90, "difficulty": "hard", "question": "Sum of cubes of first 7 natural numbers.", "options": {"A": "783", "B": "784", "C": "785", "D": "786"}, "correct_answer": "B"},
    {"id": 91, "difficulty": "hard", "question": "Find cube of 125 using pattern.", "options": {"A": "1953125", "B": "1953126", "C": "1953127", "D": "1953128"}, "correct_answer": "A"},
    {"id": 92, "difficulty": "hard", "question": "Find cube of 95 using pattern.", "options": {"A": "857374", "B": "857375", "C": "857376", "D": "857377"}, "correct_answer": "B"},
    {"id": 93, "difficulty": "hard", "question": "If 1³+2³+3³+...+n³=3025, find n.", "options": {"A": "9", "B": "10", "C": "11", "D": "12"}, "correct_answer": "B"},
    {"id": 94, "difficulty": "hard", "question": "Smallest number to multiply 1372 to get perfect cube.", "options": {"A": "2", "B": "7", "C": "14", "D": "28"}, "correct_answer": "A"},
    {"id": 95, "difficulty": "hard", "question": "Smallest number to divide 2916 to get perfect cube.", "options": {"A": "2", "B": "3", "C": "4", "D": "6"}, "correct_answer": "C"},
    {"id": 96, "difficulty": "hard", "question": "Cube of 0.99?", "options": {"A": "0.970298", "B": "0.970299", "C": "0.970300", "D": "0.970301"}, "correct_answer": "B"},
    {"id": 97, "difficulty": "hard", "question": "Cube of 1.01?", "options": {"A": "1.030301", "B": "1.030302", "C": "1.030303", "D": "1.030304"}, "correct_answer": "A"},
    {"id": 98, "difficulty": "hard", "question": "If cube ends with 25, unit digit of number is?", "options": {"A": "3", "B": "4", "C": "5", "D": "6"}, "correct_answer": "C"},
    {"id": 99, "difficulty": "hard", "question": "Sum of cubes of first 8 natural numbers.", "options": {"A": "1295", "B": "1296", "C": "1297", "D": "1298"}, "correct_answer": "B"},
    {"id": 100, "difficulty": "hard", "question": "Sum of cubes of first 10 natural numbers.", "options": {"A": "3024", "B": "3025", "C": "3026", "D": "3027"}, "correct_answer": "B"}
  ]
}