{
  "title": "Solving Linear Equations Balance Method (Linear Equations) - Grade 8 CBSE",
  "total_questions": 60,
  "questions": [

    { "id": 1, "difficulty": "easy", "question": "Solve: x + 5 = 12", "options": {"A": "x = 7", "B": "x = 6", "C": "x = 5", "D": "x = 8"}, "correct_answer": "A" },
    { "id": 2, "difficulty": "easy", "question": "Solve: x - 4 = 9", "options": {"A": "x = 11", "B": "x = 13", "C": "x = 14", "D": "x = 15"}, "correct_answer": "B" },
    { "id": 3, "difficulty": "easy", "question": "Solve: 2x = 10", "options": {"A": "x = 3", "B": "x = 4", "C": "x = 5", "D": "x = 6"}, "correct_answer": "C" },
    { "id": 4, "difficulty": "easy", "question": "Solve: x/3 = 5", "options": {"A": "x = 10", "B": "x = 12", "C": "x = 15", "D": "x = 18"}, "correct_answer": "D" },
    { "id": 5, "difficulty": "easy", "question": "Solve: x + 9 = 20", "options": {"A": "x = 11", "B": "x = 10", "C": "x = 12", "D": "x = 13"}, "correct_answer": "A" },

    { "id": 6, "difficulty": "easy", "question": "Solve: x - 7 = 15", "options": {"A": "x = 20", "B": "x = 21", "C": "x = 22", "D": "x = 23"}, "correct_answer": "B" },
    { "id": 7, "difficulty": "easy", "question": "Solve: 3x = 18", "options": {"A": "x = 4", "B": "x = 5", "C": "x = 6", "D": "x = 7"}, "correct_answer": "C" },
    { "id": 8, "difficulty": "easy", "question": "Solve: x/4 = 6", "options": {"A": "x = 20", "B": "x = 22", "C": "x = 24", "D": "x = 26"}, "correct_answer": "D" },
    { "id": 9, "difficulty": "easy", "question": "Solve: x + 3 = 14", "options": {"A": "x = 9", "B": "x = 10", "C": "x = 11", "D": "x = 12"}, "correct_answer": "A" },
    { "id": 10, "difficulty": "easy", "question": "Solve: x - 2 = 18", "options": {"A": "x = 19", "B": "x = 20", "C": "x = 21", "D": "x = 22"}, "correct_answer": "B" },

    { "id": 11, "difficulty": "easy", "question": "Solve: 4x = 28", "options": {"A": "x = 5", "B": "x = 6", "C": "x = 7", "D": "x = 8"}, "correct_answer": "C" },
    { "id": 12, "difficulty": "easy", "question": "Solve: x/5 = 4", "options": {"A": "x = 15", "B": "x = 20", "C": "x = 25", "D": "x = 30"}, "correct_answer": "D" },
    { "id": 13, "difficulty": "easy", "question": "Solve: x + 11 = 30", "options": {"A": "x = 16", "B": "x = 17", "C": "x = 18", "D": "x = 19"}, "correct_answer": "A" },
    { "id": 14, "difficulty": "easy", "question": "Solve: x - 6 = 25", "options": {"A": "x = 28", "B": "x = 29", "C": "x = 30", "D": "x = 31"}, "correct_answer": "B" },
    { "id": 15, "difficulty": "easy", "question": "Solve: 2x = 16", "options": {"A": "x = 6", "B": "x = 7", "C": "x = 8", "D": "x = 9"}, "correct_answer": "C" },

    { "id": 16, "difficulty": "easy", "question": "Solve: x/2 = 9", "options": {"A": "x = 14", "B": "x = 16", "C": "x = 18", "D": "x = 20"}, "correct_answer": "D" },
    { "id": 17, "difficulty": "easy", "question": "Solve: x + 4 = 19", "options": {"A": "x = 11", "B": "x = 13", "C": "x = 15", "D": "x = 17"}, "correct_answer": "A" },
    { "id": 18, "difficulty": "easy", "question": "Solve: x - 3 = 27", "options": {"A": "x = 30", "B": "x = 31", "C": "x = 32", "D": "x = 33"}, "correct_answer": "B" },
    { "id": 19, "difficulty": "easy", "question": "Solve: 5x = 45", "options": {"A": "x = 8", "B": "x = 9", "C": "x = 10", "D": "x = 11"}, "correct_answer": "C" },
    { "id": 20, "difficulty": "easy", "question": "Solve: x/3 = 9", "options": {"A": "x = 21", "B": "x = 24", "C": "x = 27", "D": "x = 30"}, "correct_answer": "D" },

    { "id": 21, "difficulty": "medium", "question": "Solve: 2x + 5 = 3x - 7", "options": {"A": "x = 12", "B": "x = 13", "C": "x = 14", "D": "x = 15"}, "correct_answer": "A" },
    { "id": 22, "difficulty": "medium", "question": "Solve: 4x - 9 = 2x + 11", "options": {"A": "x = 9", "B": "x = 10", "C": "x = 11", "D": "x = 12"}, "correct_answer": "B" },
    { "id": 23, "difficulty": "medium", "question": "Solve: 3x + 8 = 2x + 20", "options": {"A": "x = 10", "B": "x = 11", "C": "x = 12", "D": "x = 13"}, "correct_answer": "C" },
    { "id": 24, "difficulty": "medium", "question": "Solve: 5x - 6 = 3x + 12", "options": {"A": "x = 8", "B": "x = 9", "C": "x = 10", "D": "x = 11"}, "correct_answer": "D" },
    { "id": 25, "difficulty": "medium", "question": "Solve: 7x + 4 = 5x + 18", "options": {"A": "x = 7", "B": "x = 6", "C": "x = 5", "D": "x = 8"}, "correct_answer": "A" },

    { "id": 26, "difficulty": "medium", "question": "Solve: 8x - 3 = 4x + 13", "options": {"A": "x = 3", "B": "x = 4", "C": "x = 5", "D": "x = 6"}, "correct_answer": "B" },
    { "id": 27, "difficulty": "medium", "question": "Solve: 9x + 2 = 6x + 20", "options": {"A": "x = 4", "B": "x = 5", "C": "x = 6", "D": "x = 7"}, "correct_answer": "C" },
    { "id": 28, "difficulty": "medium", "question": "Solve: 10x - 7 = 3x + 42", "options": {"A": "x = 5", "B": "x = 6", "C": "x = 7", "D": "x = 8"}, "correct_answer": "D" },
    { "id": 29, "difficulty": "medium", "question": "Solve: 6x + 11 = 4x + 29", "options": {"A": "x = 8", "B": "x = 9", "C": "x = 10", "D": "x = 11"}, "correct_answer": "A" },
    { "id": 30, "difficulty": "medium", "question": "Solve: 12x - 9 = 5x + 40", "options": {"A": "x = 7", "B": "x = 8", "C": "x = 9", "D": "x = 10"}, "correct_answer": "B" },

    { "id": 31, "difficulty": "medium", "question": "Solve: 3(x + 5) = 2(x + 14)", "options": {"A": "x = 11", "B": "x = 12", "C": "x = 13", "D": "x = 14"}, "correct_answer": "C" },
    { "id": 32, "difficulty": "medium", "question": "Solve: 4(x - 2) = 2(2x + 5)", "options": {"A": "x = 3", "B": "x = 4", "C": "x = 5", "D": "x = 6"}, "correct_answer": "D" },
    { "id": 33, "difficulty": "medium", "question": "Solve: 5(x + 3) = 3(x + 11)", "options": {"A": "x = 6", "B": "x = 7", "C": "x = 8", "D": "x = 9"}, "correct_answer": "A" },
    { "id": 34, "difficulty": "medium", "question": "Solve: 6(x - 4) = 4(x + 5)", "options": {"A": "x = 11", "B": "x = 12", "C": "x = 13", "D": "x = 14"}, "correct_answer": "B" },
    { "id": 35, "difficulty": "medium", "question": "Solve: 7(x + 2) = 5(x + 10)", "options": {"A": "x = 8", "B": "x = 9", "C": "x = 10", "D": "x = 11"}, "correct_answer": "C" },

    { "id": 36, "difficulty": "medium", "question": "Solve: 8(x - 3) = 4(2x + 7)", "options": {"A": "x = 3", "B": "x = 4", "C": "x = 5", "D": "x = 6"}, "correct_answer": "D" },
    { "id": 37, "difficulty": "medium", "question": "Solve: 9(x + 4) = 3(3x + 22)", "options": {"A": "x = 5", "B": "x = 6", "C": "x = 7", "D": "x = 8"}, "correct_answer": "A" },
    { "id": 38, "difficulty": "medium", "question": "Solve: 10(x - 1) = 5(x + 8)", "options": {"A": "x = 8", "B": "x = 9", "C": "x = 10", "D": "x = 11"}, "correct_answer": "B" },
    { "id": 39, "difficulty": "medium", "question": "Solve: 11(x + 3) = 5(2x + 13)", "options": {"A": "x = 7", "B": "x = 8", "C": "x = 9", "D": "x = 10"}, "correct_answer": "C" },
    { "id": 40, "difficulty": "medium", "question": "Solve: 12(x - 2) = 6(x + 8)", "options": {"A": "x = 7", "B": "x = 8", "C": "x = 9", "D": "x = 10"}, "correct_answer": "D" },

    { "id": 41, "difficulty": "hard", "question": "Solve: (x + 7)/2 = (3x - 5)/4", "options": {"A": "x = 9", "B": "x = 10", "C": "x = 11", "D": "x = 12"}, "correct_answer": "A" },
    { "id": 42, "difficulty": "hard", "question": "Solve: (2x - 3)/3 = (x + 11)/5", "options": {"A": "x = 12", "B": "x = 13", "C": "x = 14", "D": "x = 15"}, "correct_answer": "B" },
    { "id": 43, "difficulty": "hard", "question": "Solve: (3x + 4)/5 = (x + 19)/3", "options": {"A": "x = 11", "B": "x = 12", "C": "x = 13", "D": "x = 14"}, "correct_answer": "C" },
    { "id": 44, "difficulty": "hard", "question": "Solve: (4x - 9)/6 = (2x + 15)/4", "options": {"A": "x = 12", "B": "x = 13", "C": "x = 14", "D": "x = 15"}, "correct_answer": "D" },
    { "id": 45, "difficulty": "hard", "question": "Solve: (5x + 11)/4 = (3x + 37)/2", "options": {"A": "x = 7", "B": "x = 8", "C": "x = 9", "D": "x = 10"}, "correct_answer": "A" },

    { "id": 46, "difficulty": "hard", "question": "Solve: (6x - 13)/5 = (4x + 27)/3", "options": {"A": "x = 11", "B": "x = 12", "C": "x = 13", "D": "x = 14"}, "correct_answer": "B" },
    { "id": 47, "difficulty": "hard", "question": "Solve: (7x + 9)/6 = (3x + 55)/4", "options": {"A": "x = 13", "B": "x = 14", "C": "x = 15", "D": "x = 16"}, "correct_answer": "C" },
    { "id": 48, "difficulty": "hard", "question": "Solve: (8x - 15)/7 = (5x + 61)/6", "options": {"A": "x = 14", "B": "x = 15", "C": "x = 16", "D": "x = 17"}, "correct_answer": "D" },
    { "id": 49, "difficulty": "hard", "question": "Solve: (9x + 17)/8 = (4x + 78)/5", "options": {"A": "x = 16", "B": "x = 17", "C": "x = 18", "D": "x = 19"}, "correct_answer": "A" },
    { "id": 50, "difficulty": "hard", "question": "Solve: (10x - 19)/9 = (6x + 95)/7", "options": {"A": "x = 17", "B": "x = 18", "C": "x = 19", "D": "x = 20"}, "correct_answer": "B" },

    { "id": 51, "difficulty": "hard", "question": "Solve: (11x + 21)/10 = (5x + 113)/8", "options": {"A": "x = 19", "B": "x = 20", "C": "x = 21", "D": "x = 22"}, "correct_answer": "C" },
    { "id": 52, "difficulty": "hard", "question": "Solve: (12x - 23)/11 = (7x + 127)/9", "options": {"A": "x = 21", "B": "x = 22", "C": "x = 23", "D": "x = 24"}, "correct_answer": "D" },
    { "id": 53, "difficulty": "hard", "question": "Solve: (13x + 25)/12 = (6x + 138)/8", "options": {"A": "x = 22", "B": "x = 23", "C": "x = 24", "D": "x = 25"}, "correct_answer": "A" },
    { "id": 54, "difficulty": "hard", "question": "Solve: (14x - 27)/13 = (8x + 153)/10", "options": {"A": "x = 23", "B": "x = 24", "C": "x = 25", "D": "x = 26"}, "correct_answer": "B" },
    { "id": 55, "difficulty": "hard", "question": "Solve: (15x + 29)/14 = (9x + 167)/11", "options": {"A": "x = 24", "B": "x = 25", "C": "x = 26", "D": "x = 27"}, "correct_answer": "C" },

    { "id": 56, "difficulty": "hard", "question": "Solve: (16x - 31)/15 = (7x + 185)/12", "options": {"A": "x = 25", "B": "x = 26", "C": "x = 27", "D": "x = 28"}, "correct_answer": "D" },
    { "id": 57, "difficulty": "hard", "question": "Solve: (17x + 33)/16 = (8x + 199)/13", "options": {"A": "x = 26", "B": "x = 27", "C": "x = 28", "D": "x = 29"}, "correct_answer": "A" },
    { "id": 58, "difficulty": "hard", "question": "Solve: (18x - 35)/17 = (9x + 218)/14", "options": {"A": "x = 27", "B": "x = 28", "C": "x = 29", "D": "x = 30"}, "correct_answer": "B" },
    { "id": 59, "difficulty": "hard", "question": "Solve: (19x + 37)/18 = (10x + 232)/15", "options": {"A": "x = 28", "B": "x = 29", "C": "x = 30", "D": "x = 31"}, "correct_answer": "C" },
    { "id": 60, "difficulty": "hard", "question": "Solve: (20x - 39)/19 = (11x + 251)/16", "options": {"A": "x = 29", "B": "x = 30", "C": "x = 31", "D": "x = 32"}, "correct_answer": "D" }

  ]
}