{
  "title": "Comparison of Rational Numbers - Grade 8 CBSE",
  "total_questions": 100,
  "questions": [
    {"id": 1, "difficulty": "easy", "question": "Which is greater: 1/2 or 1/3?", "options": {"A": "1/2", "B": "1/3", "C": "Equal", "D": "Can't say"}, "correct_answer": "A"},
    {"id": 2, "difficulty": "easy", "question": "Compare: 3/4 ○ 2/3", "options": {"A": ">", "B": "<", "C": "=", "D": "≥"}, "correct_answer": "A"},
    {"id": 3, "difficulty": "easy", "question": "Which is smaller: 2/5 or 3/5?", "options": {"A": "2/5", "B": "3/5", "C": "Equal", "D": "Can't compare"}, "correct_answer": "A"},
    {"id": 4, "difficulty": "easy", "question": "1/7 ○ 1/8", "options": {"A": ">", "B": "<", "C": "=", "D": "≤"}, "correct_answer": "A"},
    {"id": 5, "difficulty": "easy", "question": "Which is greater: 0.5 or 0.25?", "options": {"A": "0.5", "B": "0.25", "C": "Equal", "D": "0.05"}, "correct_answer": "A"},
    {"id": 6, "difficulty": "easy", "question": "Compare: 0.3 ○ 0.30", "options": {"A": ">", "B": "<", "C": "=", "D": "≠"}, "correct_answer": "C"},
    {"id": 7, "difficulty": "easy", "question": "4/9 ○ 5/9", "options": {"A": ">", "B": "<", "C": "=", "D": "≥"}, "correct_answer": "B"},
    {"id": 8, "difficulty": "easy", "question": "Which is smaller: 7/8 or 6/7?", "options": {"A": "7/8", "B": "6/7", "C": "Equal", "D": "Can't say"}, "correct_answer": "B"},
    {"id": 9, "difficulty": "easy", "question": "1/10 ○ 0.1", "options": {"A": ">", "B": "<", "C": "=", "D": "≤"}, "correct_answer": "C"},
    {"id": 10, "difficulty": "easy", "question": "0.75 ○ 3/4", "options": {"A": ">", "B": "<", "C": "=", "D": "≠"}, "correct_answer": "C"},
    {"id": 11, "difficulty": "easy", "question": "Which is greater: -1/2 or -1/3?", "options": {"A": "-1/2", "B": "-1/3", "C": "Equal", "D": "Can't compare"}, "correct_answer": "B"},
    {"id": 12, "difficulty": "easy", "question": "-3/4 ○ -2/3", "options": {"A": ">", "B": "<", "C": "=", "D": "≥"}, "correct_answer": "B"},
    {"id": 13, "difficulty": "easy", "question": "0.6 ○ 2/3", "options": {"A": ">", "B": "<", "C": "=", "D": "≤"}, "correct_answer": "B"},
    {"id": 14, "difficulty": "easy", "question": "Which is closer to 1: 7/8 or 8/9?", "options": {"A": "7/8", "B": "8/9", "C": "Equal", "D": "Can't say"}, "correct_answer": "B"},
    {"id": 15, "difficulty": "easy", "question": "5/6 ○ 0.833", "options": {"A": ">", "B": "<", "C": "=", "D": "≈"}, "correct_answer": "C"},
    {"id": 16, "difficulty": "easy", "question": "Arrange in ascending: 1/2, 1/3, 1/4", "options": {"A": "1/4,1/3,1/2", "B": "1/2,1/3,1/4", "C": "1/3,1/2,1/4", "D": "1/4,1/2,1/3"}, "correct_answer": "A"},
    {"id": 17, "difficulty": "easy", "question": "Which is between 1/2 and 3/4?", "options": {"A": "1/3", "B": "2/3", "C": "1/5", "D": "4/5"}, "correct_answer": "B"},
    {"id": 18, "difficulty": "easy", "question": "0.25 ○ 1/5", "options": {"A": ">", "B": "<", "C": "=", "D": "≤"}, "correct_answer": "A"},
    {"id": 19, "difficulty": "easy", "question": "The smallest: 0.1, 0.01, 0.001", "options": {"A": "0.1", "B": "0.01", "C": "0.001", "D": "All equal"}, "correct_answer": "C"},
    {"id": 20, "difficulty": "easy", "question": "Compare: -0.5 ○ -0.6", "options": {"A": ">", "B": "<", "C": "=", "D": "≥"}, "correct_answer": "A"},

    {"id": 21, "difficulty": "medium", "question": "Which is greater: 3/7 or 4/9?", "options": {"A": "3/7", "B": "4/9", "C": "Equal", "D": "Can't compare"}, "correct_answer": "A"},
    {"id": 22, "difficulty": "medium", "question": "Compare: 5/8 ○ 7/12", "options": {"A": ">", "B": "<", "C": "=", "D": "≤"}, "correct_answer": "A"},
    {"id": 23, "difficulty": "medium", "question": "Arrange ascending: 2/3, 3/4, 5/6", "options": {"A": "2/3,3/4,5/6", "B": "5/6,3/4,2/3", "C": "3/4,2/3,5/6", "D": "2/3,5/6,3/4"}, "correct_answer": "A"},
    {"id": 24, "difficulty": "medium", "question": "Which is smallest: 7/12, 5/8, 3/4?", "options": {"A": "7/12", "B": "5/8", "C": "3/4", "D": "All equal"}, "correct_answer": "A"},
    {"id": 25, "difficulty": "medium", "question": "Compare: -2/3 ○ -3/5", "options": {"A": ">", "B": "<", "C": "=", "D": "≥"}, "correct_answer": "B"},
    {"id": 26, "difficulty": "medium", "question": "Which lies between 0.6 and 0.7?", "options": {"A": "2/3", "B": "3/5", "C": "13/20", "D": "7/10"}, "correct_answer": "A"},
   {
  "id": 27,
  "difficulty": "medium",
  "question": "0.3636... ○ 4/11",
  "options": {
    "A": ">",
    "B": "<",
    "C": "=",
    "D": "≈"
  },
  "correct_answer": "C"
},
 {"id": 28, "difficulty": "medium", "question": "Arrange descending: 0.3, 1/3, 0.33", "options": {"A": "1/3,0.33,0.3", "B": "0.33,1/3,0.3", "C": "0.33,0.3,1/3", "D": "1/3,0.3,0.33"}, "correct_answer": "B"},
    {"id": 29, "difficulty": "medium", "question": "Which is closer to 1/2: 7/15 or 8/15?", "options": {"A": "7/15", "B": "8/15", "C": "Both equal", "D": "Neither"}, "correct_answer": "A"},
    {"id": 30, "difficulty": "medium", "question": "Compare: 22/7 ○ 3.142", "options": {"A": ">", "B": "<", "C": "=", "D": "≈"}, "correct_answer": "A"},
    {"id": 31, "difficulty": "medium", "question": "Which is greater: -0.83 or -5/6?", "options": {"A": "-0.83", "B": "-5/6", "C": "Equal", "D": "Can't say"}, "correct_answer": "A"},
    {"id": 32, "difficulty": "medium", "question": "Arrange ascending: -1/2, -2/3, -3/4", "options": {"A": "-3/4,-2/3,-1/2", "B": "-1/2,-2/3,-3/4", "C": "-2/3,-3/4,-1/2", "D": "-1/2,-3/4,-2/3"}, "correct_answer": "A"},
    {"id": 33, "difficulty": "medium", "question": "Which rational number is between 1/4 and 1/3?", "options": {"A": "2/7", "B": "3/10", "C": "7/24", "D": "5/16"}, "correct_answer": "C"},
    {"id": 34, "difficulty": "medium", "question": "Compare: 0.1666... ○ 1/6", "options": {"A": ">", "B": "<", "C": "=", "D": "≠"}, "correct_answer": "C"},
    {"id": 35, "difficulty": "medium", "question": "The largest: 0.625, 5/8, 62.5%", "options": {"A": "0.625", "B": "5/8", "C": "62.5%", "D": "All equal"}, "correct_answer": "D"},
    {"id": 36, "difficulty": "medium", "question": "Which is smallest: 0.67, 2/3, 67/100?", "options": {"A": "0.67", "B": "2/3", "C": "67/100", "D": "All equal"}, "correct_answer": "B"},
    {"id": 37, "difficulty": "medium", "question": "Compare: 3.14 ○ π", "options": {"A": ">", "B": "<", "C": "=", "D": "≈"}, "correct_answer": "B"},
    {"id": 38, "difficulty": "medium", "question": "Which lies between -0.5 and -0.25?", "options": {"A": "-1/3", "B": "-2/5", "C": "-3/8", "D": "-4/9"}, "correct_answer": "A"},
    {"id": 39, "difficulty": "medium", "question": "Arrange descending: 0.8, 4/5, 79%, 0.79", "options": {"A": "0.8,4/5,79%,0.79", "B": "4/5,0.8,79%,0.79", "C": "0.8,79%,4/5,0.79", "D": "4/5,0.8,0.79,79%"}, "correct_answer": "A"},
   {
  "id": 40,
  "difficulty": "medium",
  "question": "Compare: 7/9 ○ 0.777...",
  "options": {
    "A": ">",
    "B": "<",
    "C": "=",
    "D": "≠"
  },
  "correct_answer": "C"
}
, {"id": 41, "difficulty": "medium", "question": "Which is greater: √2/2 or 0.707?", "options": {"A": "√2/2", "B": "0.707", "C": "Equal", "D": "Can't say"}, "correct_answer": "A"},
    {"id": 42, "difficulty": "medium", "question": "The rational number exactly midway between 1/3 and 1/2 is:", "options": {"A": "2/5", "B": "5/12", "C": "3/8", "D": "7/15"}, "correct_answer": "B"},
    {"id": 43, "difficulty": "medium", "question": "Compare: 0.99 ○ 99/100", "options": {"A": ">", "B": "<", "C": "=", "D": "≥"}, "correct_answer": "C"},
    {"id": 44, "difficulty": "medium", "question": "Which is smallest: -3/7, -4/9, -5/11?", "options": {"A": "-3/7", "B": "-4/9", "C": "-5/11", "D": "All equal"}, "correct_answer": "B"},
    {"id": 45, "difficulty": "medium", "question": "Arrange ascending: 0.3, 33%, 1/3, 0.33", "options": {"A": "33%,0.3,0.33,1/3", "B": "0.3,33%,0.33,1/3", "C": "0.3,0.33,33%,1/3", "D": "33%,0.3,1/3,0.33"}, "correct_answer": "B"},
    {"id": 46, "difficulty": "medium", "question": "Compare: 123/999 ○ 0.123123...", "options": {"A": ">", "B": "<", "C": "=", "D": "≠"}, "correct_answer": "C"},
    {"id": 47, "difficulty": "medium", "question": "Which is closer to 0: -1/10 or -0.09?", "options": {"A": "-1/10", "B": "-0.09", "C": "Equal", "D": "Can't say"}, "correct_answer": "B"},
    {"id": 48, "difficulty": "medium", "question": "The largest negative: -0.1, -1/9, -0.11", "options": {"A": "-0.1", "B": "-1/9", "C": "-0.11", "D": "All equal"}, "correct_answer": "A"},
    {"id": 49, "difficulty": "medium", "question": "Compare: 0.428571... ○ 3/7", "options": {"A": ">", "B": "<", "C": "=", "D": "≈"}, "correct_answer": "C"},
    {"id": 50, "difficulty": "medium", "question": "Midpoint between -1/4 and 1/4 is:", "options": {"A": "0", "B": "1/8", "C": "-1/8", "D": "1/16"}, "correct_answer": "A"},
    {"id": 51, "difficulty": "medium", "question": "Which is greater: 0.583 or 7/12?", "options": {"A": "0.583", "B": "7/12", "C": "Equal", "D": "Can't say"}, "correct_answer": "B"},
    {"id": 52, "difficulty": "medium", "question": "Arrange descending: 5/7, 0.714, 71.5%, 0.7142", "options": {"A": "5/7,0.7142,71.5%,0.714", "B": "71.5%,5/7,0.7142,0.714", "C": "5/7,71.5%,0.7142,0.714", "D": "0.7142,5/7,71.5%,0.714"}, "correct_answer": "A"},
    {"id": 53, "difficulty": "medium", "question": "Compare: 0.6 ○ 0.5999...", "options": {"A": ">", "B": "<", "C": "=", "D": "≠"}, "correct_answer": "C"},
    {"id": 54, "difficulty": "medium", "question": "Which rational lies between 2/5 and 3/5?", "options": {"A": "1/2", "B": "0.55", "C": "11/20", "D": "All of these"}, "correct_answer": "D"},
    {"id": 55, "difficulty": "medium", "question": "The smallest positive: 0.01, 1/99, 0.0101", "options": {"A": "0.01", "B": "1/99", "C": "0.0101", "D": "All equal"}, "correct_answer": "A"},
    {"id": 56, "difficulty": "medium", "question": "Compare: 355/113 ○ π", "options": {"A": ">", "B": "<", "C": "=", "D": "≈"}, "correct_answer": "A"},
    {"id": 57, "difficulty": "medium", "question": "Which is greater: 0.83 or 5/6?", "options": {"A": "0.83", "B": "5/6", "C": "Equal", "D": "Can't say"}, "correct_answer": "B"},
    {"id": 58, "difficulty": "medium", "question": "Arrange ascending: -0.75, -3/4, -0.7, -2/3", "options": {"A": "-0.75,-3/4,-0.7,-2/3", "B": "-3/4,-0.75,-0.7,-2/3", "C": "-0.75,-3/4,-2/3,-0.7", "D": "-3/4,-0.75,-2/3,-0.7"}, "correct_answer": "D"},
    {"id": 59, "difficulty": "medium", "question": "Compare: 0.333... + 0.666... ○ 1", "options": {"A": ">", "B": "<", "C": "=", "D": "≠"}, "correct_answer": "C"},
    {"id": 60, "difficulty": "medium", "question": "Midpoint between 1/3 and 1/2 is same as reciprocal of:", "options": {"A": "2.4", "B": "2.5", "C": "2.6", "D": "2.7"}, "correct_answer": "A"},
    {"id": 61, "difficulty": "medium", "question": "Which is smallest: 0.499..., 0.5, 1/2?", "options": {"A": "0.499...", "B": "0.5", "C": "1/2", "D": "All equal"}, "correct_answer": "A"},
    {"id": 62, "difficulty": "medium", "question": "Compare: 0.9 ○ 1", "options": {"A": ">", "B": "<", "C": "=", "D": "≈"}, "correct_answer": "B"},
    {"id": 63, "difficulty": "medium", "question": "Arrange: 0.3, 1/π, √0.1, 0.33", "options": {"A": "√0.1,0.3,1/π,0.33", "B": "√0.1,1/π,0.3,0.33", "C": "1/π,√0.1,0.3,0.33", "D": "0.3,√0.1,1/π,0.33"}, "correct_answer": "A"},
    {"id": 64, "difficulty": "medium", "question": "Which is closer to √2: 1.414 or 99/70?", "options": {"A": "1.414", "B": "99/70", "C": "Equal", "D": "Can't say"}, "correct_answer": "B"},
    {"id": 65, "difficulty": "medium", "question": "Compare: 0.142857... ○ 1/7", "options": {"A": ">", "B": "<", "C": "=", "D": "≠"}, "correct_answer": "C"},
    {"id": 66, "difficulty": "medium", "question": "The rational exactly halfway between -1/2 and 0 is:", "options": {"A": "-1/4", "B": "-1/3", "C": "-0.25", "D": "All same"}, "correct_answer": "A"},
    {"id": 67, "difficulty": "medium", "question": "Which is greater: 0.123 or 123/999?", "options": {"A": "0.123", "B": "123/999", "C": "Equal", "D": "Can't compare"}, "correct_answer": "B"},
    {"id": 68, "difficulty": "medium", "question": "Arrange descending: 2/3, 0.67, 66.7%, 0.666", "options": {"A": "2/3,0.67,66.7%,0.666", "B": "0.67,66.7%,2/3,0.666", "C": "66.7%,0.67,2/3,0.666", "D": "0.67,2/3,66.7%,0.666"}, "correct_answer": "B"},
    {"id": 69, "difficulty": "medium", "question": "Compare: 0.101001000... ○ 0.101010...", "options": {"A": ">", "B": "<", "C": "=", "D": "Can't compare"}, "correct_answer": "B"},
    {"id": 70, "difficulty": "medium", "question": "Which rational is between 0.666 and 0.667?", "options": {"A": "2/3", "B": "0.6666", "C": "0.6667", "D": "Both B and C"}, "correct_answer": "D"},
    {"id": 71, "difficulty": "medium", "question": "The largest: 0.9, 0.99, 0.999", "options": {"A": "0.9", "B": "0.99", "C": "0.999", "D": "All equal"}, "correct_answer": "C"},
    {"id": 72, "difficulty": "medium", "question": "Compare: 0.375 ○ 3/8", "options": {"A": ">", "B": "<", "C": "=", "D": "≠"}, "correct_answer": "C"},
    {"id": 73, "difficulty": "medium", "question": "Arrange ascending: -0.2, -1/4, -0.3, -2/7", "options": {"A": "-0.3,-2/7,-1/4,-0.2", "B": "-0.3,-1/4,-2/7,-0.2", "C": "-1/4,-0.3,-2/7,-0.2", "D": "-0.2,-1/4,-2/7,-0.3"}, "correct_answer": "A"},
    {"id": 74, "difficulty": "medium", "question": "Which is closer to 2/3: 0.666 or 0.667?", "options": {"A": "0.666", "B": "0.667", "C": "Equal", "D": "Can't say"}, "correct_answer": "B"},
    {"id": 75, "difficulty": "medium", "question": "Compare: 0.1666... ○ 1/6", "options": {"A": ">", "B": "<", "C": "=", "D": "≈"}, "correct_answer": "C"},
    {"id": 76, "difficulty": "medium", "question": "Midpoint between 0.3 and 0.4 is:", "options": {"A": "0.35", "B": "7/20", "C": "35%", "D": "All of these"}, "correct_answer": "D"},
    {"id": 77, "difficulty": "medium", "question": "Which is smallest: 0.01, 0.001, 0.0001?", "options": {"A": "0.01", "B": "0.001", "C": "0.0001", "D": "0.1"}, "correct_answer": "C"},
    {"id": 78, "difficulty": "medium", "question": "Compare: 22/7 ○ 3.14", "options": {"A": ">", "B": "<", "C": "=", "D": "≈"}, "correct_answer": "A"},
    {"id": 79, "difficulty": "medium", "question": "The rational number between 1/π and 2/π is:", "options": {"A": "1.5/π", "B": "3/(2π)", "C": "0.5/π", "D": "Both A and B"}, "correct_answer": "D"},
    {"id": 80, "difficulty": "medium", "question": "Arrange descending: 0.625, 62.6%, 5/8, 0.62", "options": {"A": "62.6%,0.625,5/8,0.62", "B": "62.6%,5/8,0.625,0.62", "C": "5/8,62.6%,0.625,0.62", "D": "0.625,5/8,62.6%,0.62"}, "correct_answer": "B"},

    {"id": 81, "difficulty": "hard", "question": "Which is greater: √2 or 1.41421356?", "options": {"A": "√2", "B": "1.41421356", "C": "Equal", "D": "Can't say"}, "correct_answer": "A"},
    {"id": 82, "difficulty": "hard", "question": "Compare: 0.999... ○ 1", "options": {"A": ">", "B": "<", "C": "=", "D": "≈"}, "correct_answer": "C"},
    {"id": 83, "difficulty": "hard", "question": "Arrange ascending: √2, 1.414, 1.41, 1.4142", "options": {"A": "1.41,1.414,1.4142,√2", "B": "1.41,1.414,√2,1.4142", "C": "1.41,√2,1.414,1.4142", "D": "1.414,1.41,1.4142,√2"}, "correct_answer": "A"},
    {"id": 84, "difficulty": "hard", "question": "Which rational is closest to π: 22/7, 3.14, or 3.1416?", "options": {"A": "22/7", "B": "3.14", "C": "3.1416", "D": "All equal"}, "correct_answer": "C"},
    {"id": 85, "difficulty": "hard", "question": "Compare: 1.732 ○ √3", "options": {"A": ">", "B": "<", "C": "=", "D": "≈"}, "correct_answer": "B"},
    {"id": 86, "difficulty": "hard", "question": "The rational exactly midway between a/b and c/d is:", "options": {"A": "(a+c)/(b+d)", "B": "(ad+bc)/(2bd)", "C": "(a/b + c/d)/2", "D": "Both B and C"}, "correct_answer": "D"},
    {"id": 87, "difficulty": "hard", "question": "Which is smaller: 0.123456789 or 123456789/999999999?", "options": {"A": "0.123456789", "B": "123456789/999999999", "C": "Equal", "D": "Can't compare"}, "correct_answer": "A"},
    {"id": 88, "difficulty": "hard", "question": "Arrange descending: e, 2.718, 2.72, 2.71828", "options": {"A": "e,2.71828,2.72,2.718", "B": "2.72,e,2.71828,2.718", "C": "e,2.72,2.71828,2.718", "D": "2.72,2.71828,e,2.718"}, "correct_answer": "C"},
    {"id": 89, "difficulty": "hard", "question": "Compare: 355/113 ○ 3.1415929", "options": {"A": ">", "B": "<", "C": "=", "D": "≈"}, "correct_answer": "A"},
    {"id": 90, "difficulty": "hard", "question": "The rational number between √2 and √3 is:", "options": {"A": "1.5", "B": "√2.5", "C": "1.7", "D": "All of these"}, "correct_answer": "D"},
    {"id": 91, "difficulty": "hard", "question": "Which is greater: 0.1010010001... or 0.10101010...?", "options": {"A": "0.1010010001...", "B": "0.10101010...", "C": "Equal", "D": "Can't compare"}, "correct_answer": "B"},
    {"id": 92, "difficulty": "hard", "question": "Compare: 0.142857142857... ○ 1/7", "options": {"A": ">", "B": "<", "C": "=", "D": "≠"}, "correct_answer": "C"},
    {"id": 93, "difficulty": "hard", "question": "Arrange ascending: 1/√2, √2/2, 0.7071, 0.707", "options": {"A": "0.707,0.7071,√2/2,1/√2", "B": "0.707,0.7071,1/√2,√2/2", "C": "1/√2,√2/2,0.707,0.7071", "D": "0.707,0.7071,1/√2,√2/2"}, "correct_answer": "D"},
    {"id": 94, "difficulty": "hard", "question": "The rational number closest to 0 from: 1/10^n, 1/2^n, 1/n^2 as n→∞ is:", "options": {"A": "1/10^n", "B": "1/2^n", "C": "1/n^2", "D": "All tend to 0"}, "correct_answer": "D"},
    {"id": 95, "difficulty": "hard", "question": "Compare: 0.9 + 0.09 + 0.009 + ... ○ 1", "options": {"A": ">", "B": "<", "C": "=", "D": "Can't sum"}, "correct_answer": "C"},
    {"id": 96, "difficulty": "hard", "question": "Which is between √3 and √4?", "options": {"A": "1.8", "B": "1.9", "C": "1.7", "D": "All of these"}, "correct_answer": "D"},
    {"id": 97, "difficulty": "hard", "question": "The denseness property states between any two rationals there are:", "options": {"A": "Finite rationals", "B": "Infinite rationals", "C": "No rationals", "D": "Exactly one rational"}, "correct_answer": "B"},
    {"id": 98, "difficulty": "hard", "question": "Compare: 0.123456789101112... ○ 0.123456789", "options": {"A": ">", "B": "<", "C": "=", "D": "Can't compare"}, "correct_answer": "A"},
    {"id": 99, "difficulty": "hard", "question": "The rational number exactly halfway between 0.999... and 1 is:", "options": {"A": "0.999...5", "B": "1", "C": "0.999...", "D": "Does not exist"}, "correct_answer": "D"},
    {"id": 100, "difficulty": "hard", "question": "Which represents the largest value: 0.5^0.5, 0.5^2, √0.5?", "options": {"A": "0.5^0.5", "B": "0.5^2", "C": "√0.5", "D": "All equal"}, "correct_answer": "C"}
  ]
}