{
  "title": "Comparison of Rational Numbers - Grade 7 ICSE",
  "total_questions": 60,
  "questions": [
    {
      "id": 1,
      "difficulty": "easy",
      "question": "Which is bigger? 🧐 1/2 or 1/4?",
      "options": {
        "A": "1/4",
        "B": "They are equal",
        "C": "1/2",
        "D": "Cannot compare"
      },
      "correct_answer": "C"
    },
    {
      "id": 2,
      "difficulty": "easy",
      "question": "Which rational number is smaller? 0.3 or 0.30?",
      "options": {
        "A": "0.30",
        "B": "0.3",
        "C": "They are equal",
        "D": "Cannot say"
      },
      "correct_answer": "C"
    },
    {
      "id": 3,
      "difficulty": "easy",
      "question": "Compare: 3/5 _ 4/5. Fill the blank with <, >, or =.",
      "options": { "A": ">", "B": "=", "C": "<", "D": ">=" },
      "correct_answer": "C"
    },
    {
      "id": 4,
      "difficulty": "easy",
      "question": "Which is greater? 🍰 2/8 or 3/8?",
      "options": { "A": "3/8", "B": "2/8", "C": "Equal", "D": "None" },
      "correct_answer": "A"
    },
    {
      "id": 5,
      "difficulty": "easy",
      "question": "Put the correct sign: 0.75 _ 3/4",
      "options": { "A": "<", "B": ">", "C": "=", "D": "<=" },
      "correct_answer": "C"
    },
    {
      "id": 6,
      "difficulty": "easy",
      "question": "Which is smaller? -1/3 or -2/3? ❄️",
      "options": {
        "A": "-2/3",
        "B": "-1/3",
        "C": "Equal",
        "D": "Both positive"
      },
      "correct_answer": "A"
    },
    {
      "id": 7,
      "difficulty": "easy",
      "question": "Is 5/6 greater than 7/8? 🤔",
      "options": { "A": "Yes", "B": "No", "C": "Equal", "D": "Cannot compare" },
      "correct_answer": "B"
    },
    {
      "id": 8,
      "difficulty": "easy",
      "question": "Arrange in ascending order: 1/10, 0, 1/5",
      "options": {
        "A": "1/10, 0, 1/5",
        "B": "0, 1/5, 1/10",
        "C": "0, 1/10, 1/5",
        "D": "1/5, 1/10, 0"
      },
      "correct_answer": "C"
    },
    {
      "id": 9,
      "difficulty": "easy",
      "question": "True or False? 🎯 2/9 > 2/7",
      "options": {
        "A": "True",
        "B": "False",
        "C": "Sometimes true",
        "D": "Data insufficient"
      },
      "correct_answer": "B"
    },
    {
      "id": 10,
      "difficulty": "easy",
      "question": "Which fraction is closer to 1? 9/10 or 11/12? 📏",
      "options": {
        "A": "9/10",
        "B": "11/12",
        "C": "Both same",
        "D": "Cannot determine"
      },
      "correct_answer": "B"
    },
    {
      "id": 11,
      "difficulty": "easy",
      "question": "Compare: -0.5 _ -0.55",
      "options": { "A": "<", "B": ">", "C": "=", "D": ">=" },
      "correct_answer": "B"
    },
    {
      "id": 12,
      "difficulty": "easy",
      "question": "Which is the largest? 0.25, 1/4, 25/100 ✨",
      "options": {
        "A": "0.25",
        "B": "1/4",
        "C": "25/100",
        "D": "All are equal"
      },
      "correct_answer": "D"
    },
    {
      "id": 13,
      "difficulty": "easy",
      "question": "Is 0.333... equal to 1/3? 🔄",
      "options": {
        "A": "No",
        "B": "Yes",
        "C": "Greater than",
        "D": "Less than"
      },
      "correct_answer": "B"
    },
    {
      "id": 14,
      "difficulty": "easy",
      "question": "Which number lies between 1/2 and 3/4? 0.6 or 0.8?",
      "options": { "A": "0.6", "B": "0.8", "C": "Both", "D": "None" },
      "correct_answer": "A"
    },
    {
      "id": 15,
      "difficulty": "easy",
      "question": "Order from least to greatest: 0.2, 1/3, 0.35 🗂️",
      "options": {
        "A": "0.2, 0.35, 1/3",
        "B": "1/3, 0.2, 0.35",
        "C": "0.2, 1/3, 0.35",
        "D": "0.35, 1/3, 0.2"
      },
      "correct_answer": "C"
    },
    {
      "id": 16,
      "difficulty": "easy",
      "question": "Which sign? 7/12 _ 5/9",
      "options": { "A": ">", "B": "<", "C": "=", "D": "<=" },
      "correct_answer": "A"
    },
    {
      "id": 17,
      "difficulty": "easy",
      "question": "Pick the smallest: -5/6, -2/3, -1/2 🥶",
      "options": { "A": "-5/6", "B": "-2/3", "C": "-1/2", "D": "All equal" },
      "correct_answer": "A"
    },
    {
      "id": 18,
      "difficulty": "easy",
      "question": "True/False: 0.01 > 1/100",
      "options": { "A": "True", "B": "False", "C": "Depends", "D": "None" },
      "correct_answer": "B"
    },
    {
      "id": 19,
      "difficulty": "easy",
      "question": "Compare: 99/100 _ 100/101",
      "options": { "A": ">", "B": "=", "C": "<", "D": ">=" },
      "correct_answer": "C"
    },
    {
      "id": 20,
      "difficulty": "easy",
      "question": "Which is greater? 🏆 1 or 0.999...?",
      "options": {
        "A": "1",
        "B": "0.999...",
        "C": "Equal",
        "D": "Cannot compare"
      },
      "correct_answer": "C"
    },
    {
      "id": 21,
      "difficulty": "medium",
      "question": "Which is greater: -3/7 or -5/11? 🤨",
      "options": {
        "A": "-3/7",
        "B": "-5/11",
        "C": "Equal",
        "D": "Cannot compare"
      },
      "correct_answer": "A"
    },
    {
      "id": 22,
      "difficulty": "medium",
      "question": "Arrange in descending order: 2/3, 5/8, 7/12, 0.6 📉",
      "options": {
        "A": "2/3, 0.6, 5/8, 7/12",
        "B": "5/8, 2/3, 7/12, 0.6",
        "C": "2/3, 5/8, 7/12, 0.6",
        "D": "2/3, 5/8, 0.6, 7/12"
      },
      "correct_answer": "D"
    },
    {
      "id": 23,
      "difficulty": "medium",
      "question": "Find the rational number between 1/4 and 1/3. 🔍",
      "options": { "A": "2/7", "B": "7/24", "C": "5/12", "D": "1/2" },
      "correct_answer": "B"
    },
    {
      "id": 24,
      "difficulty": "medium",
      "question": "Which of these lies between -0.6 and -0.4? 🧮",
      "options": {
        "A": "-1/2",
        "B": "-3/5",
        "C": "-7/10",
        "D": "-2/5"
      },
      "correct_answer": "A"
    },
    {
      "id": 25,
      "difficulty": "medium",
      "question": "Compare: ( -8/15 ) _ ( -9/17 )",
      "options": { "A": ">", "B": "<", "C": "=", "D": "<=" },
      "correct_answer": "A"
    },
    {
      "id": 26,
      "difficulty": "medium",
      "question": "If a/b and c/d are positive fractions and a/b > c/d, then ad _ bc. Fill the blank. ⚖️",
      "options": { "A": ">", "B": "<", "C": "=", "D": ">=" },
      "correct_answer": "A"
    },
    {
      "id": 27,
      "difficulty": "medium",
      "question": "Which is the smallest? 0.125, 1/6, 12%, 1/8 🎯",
      "options": { "A": "0.125", "B": "1/6", "C": "12%", "D": "1/8" },
      "correct_answer": "C"
    },
    {
      "id": 28,
      "difficulty": "medium",
      "question": "Insert the correct symbol: 5/(-9) _ (-5)/9",
      "options": { "A": ">", "B": "<", "C": "=", "D": ">=" },
      "correct_answer": "C"
    },
    {
      "id": 29,
      "difficulty": "medium",
      "question": "Find the greatest among: -1.01, -1.001, -1.1, -1.02 ❄️",
      "options": {
        "A": "-1.01",
        "B": "-1.001",
        "C": "-1.1",
        "D": "-1.02"
      },
      "correct_answer": "B"
    },
    {
      "id": 30,
      "difficulty": "medium",
      "question": "Which number is exactly midway between 2/5 and 3/5? 🎢",
      "options": { "A": "1/2", "B": "2/5", "C": "1/4", "D": "3/10" },
      "correct_answer": "A"
    },
    {
      "id": 31,
      "difficulty": "medium",
      "question": "Compare: | -3/4 | _ | 5/8 |",
      "options": { "A": ">", "B": "<", "C": "=", "D": "<=" },
      "correct_answer": "A"
    },
    {
      "id": 32,
      "difficulty": "medium",
      "question": "Arrange: 0.83, 5/6, 7/8, 0.9 in increasing order. 🔼",
      "options": {
        "A": "5/6, 0.83, 7/8, 0.9",
        "B": "0.83, 5/6, 7/8, 0.9",
        "C": "0.83, 7/8, 5/6, 0.9",
        "D": "5/6, 0.83, 0.9, 7/8"
      },
      "correct_answer": "B"
    },
    {
      "id": 33,
      "difficulty": "medium",
      "question": "If p = -7/12 and q = -5/9, then p _ q.",
      "options": { "A": ">", "B": "<", "C": "=", "D": ">=" },
      "correct_answer": "B"
    },
    {
      "id": 34,
      "difficulty": "medium",
      "question": "Which rational number is 0.1 less than 4/5? 🤔",
      "options": { "A": "7/10", "B": "3/5", "C": "1/2", "D": "14/20" },
      "correct_answer": "A"
    },
    {
      "id": 35,
      "difficulty": "medium",
      "question": "Find the false statement: 🚫",
      "options": {
        "A": "1/3 > 0.33",
        "B": "-2/3 > -3/4",
        "C": "0.5 = 1/2",
        "D": "4/9 > 5/11"
      },
      "correct_answer": "D"
    },
    {
      "id": 36,
      "difficulty": "medium",
      "question": "Which is closer to -1? -11/10 or -9/10? 📍",
      "options": {
        "A": "-11/10",
        "B": "-9/10",
        "C": "Both same",
        "D": "Cannot say"
      },
      "correct_answer": "C"
    },
    {
      "id": 37,
      "difficulty": "medium",
      "question": "Compare the absolute values: |-0.75| _ |3/4|",
      "options": { "A": ">", "B": "<", "C": "=", "D": ">=" },
      "correct_answer": "C"
    },
    {
      "id": 38,
      "difficulty": "medium",
      "question": "If x = 0.2727... and y = 3/11, then x _ y.",
      "options": { "A": ">", "B": "<", "C": "=", "D": "<=" },
      "correct_answer": "C"
    },
    {
      "id": 39,
      "difficulty": "medium",
      "question": "The rational number 5/–7 is equal to:",
      "options": { "A": "-5/7", "B": "5/7", "C": "7/5", "D": "-7/5" },
      "correct_answer": "A"
    },
    {
      "id": 40,
      "difficulty": "medium",
      "question": "Which of these is NOT between 0.4 and 0.5? 🚨",
      "options": {
        "A": "9/20",
        "B": "11/25",
        "C": "21/50",
        "D": "13/10"
      },
      "correct_answer": "D"
    },
    {
      "id": 41,
      "difficulty": "hard",
      "question": "If a = 2/3, b = -5/6, c = 7/-12, arrange a, b, c in ascending order. 📊",
      "options": {
        "A": "b, c, a",
        "B": "c, b, a",
        "C": "a, b, c",
        "D": "b, a, c"
      },
      "correct_answer": "A"
    },
    {
      "id": 42,
      "difficulty": "hard",
      "question": "Which is the greatest? (1/2 - 1/3), (1/3 - 1/4), (1/4 - 1/5), (1/5 - 1/6) 🏔️",
      "options": {
        "A": "1/2 - 1/3",
        "B": "1/3 - 1/4",
        "C": "1/4 - 1/5",
        "D": "1/5 - 1/6"
      },
      "correct_answer": "A"
    },
    {
      "id": 43,
      "difficulty": "hard",
      "question": "Find the rational number that is 5/6 more than the additive inverse of 7/8. 🧩",
      "options": {
        "A": "-1/24",
        "B": "1/24",
        "C": "41/24",
        "D": "-41/24"
      },
      "correct_answer": "A"
    },
    {
      "id": 44,
      "difficulty": "hard",
      "question": "If p/q and r/s are two rational numbers such that p/q > r/s and q, s > 0, then which is always true? 🤯",
      "options": {
        "A": "ps > qr",
        "B": "ps < qr",
        "C": "p/r > q/s",
        "D": "p+s > q+r"
      },
      "correct_answer": "A"
    },
    {
      "id": 45,
      "difficulty": "hard",
      "question": "Find the product of the greatest and smallest among: -1/2, 2/3, -3/4, 4/5, -5/6. ✖️",
      "options": {
        "A": "-2/3",
        "B": "1/2",
        "C": "-5/12",
        "D": "25/36"
      },
      "correct_answer": "A"
    },
    {
      "id": 46,
      "difficulty": "hard",
      "question": "Which of the following statements is false? ❌",
      "options": {
        "A": "Between any two rationals, there is a rational.",
        "B": "Every rational number has an additive inverse.",
        "C": "If a/b < c/d, then a/b < (a+c)/(b+d) < c/d.",
        "D": "The reciprocal of a positive rational is always greater than the number."
      },
      "correct_answer": "D"
    },
    {
      "id": 47,
      "difficulty": "hard",
      "question": "How many rational numbers between 2/7 and 5/7 have denominator 21? 🔢",
      "options": { "A": "5", "B": "6", "C": "7", "D": "8" },
      "correct_answer": "B"
    },
    {
      "id": 48,
      "difficulty": "hard",
      "question": "If x = -(-4/5) and y = |-3/10|, compare x and y. ⚖️",
      "options": { "A": "x > y", "B": "x < y", "C": "x = y", "D": "x ≤ y" },
      "correct_answer": "A"
    },
    {
      "id": 49,
      "difficulty": "hard",
      "question": "The sum of the greatest and the smallest of -5/8, 1/2, -3/4, 7/8 is: ➕",
      "options": { "A": "1/8", "B": "-1/8", "C": "3/8", "D": "1/4" },
      "correct_answer": "A"
    },
    {
      "id": 50,
      "difficulty": "hard",
      "question": "For rational numbers a and b, if a > b, then which is NOT necessarily true? 🧐",
      "options": {
        "A": "a + 1 > b + 1",
        "B": "a - 1 > b - 1",
        "C": "1/a < 1/b",
        "D": "-a < -b"
      },
      "correct_answer": "C"
    },
    {
      "id": 51,
      "difficulty": "hard",
      "question": "Find the number exactly midway between the additive inverse of 2/9 and the multiplicative inverse of 9/2. 🎯",
      "options": {
        "A": "-77/36",
        "B": "77/36",
        "C": "0",
        "D": "85/36"
      },
      "correct_answer": "C"
    },
    {
      "id": 52,
      "difficulty": "hard",
      "question": "If (3x - 1)/4 = (2x + 1)/5, then x is a rational number between: 🔗",
      "options": {
        "A": "0 and 1",
        "B": "1 and 2",
        "C": "2 and 3",
        "D": "-1 and 0"
      },
      "correct_answer": "B"
    },
    {
      "id": 53,
      "difficulty": "hard",
      "question": "Which list is in ascending order? 📈",
      "options": {
        "A": "-7/8, -5/6, -2/3, -1/2",
        "B": "-1/2, -2/3, -5/6, -7/8",
        "C": "-7/8, -5/6, -1/2, -2/3",
        "D": "-2/3, -5/6, -1/2, -7/8"
      },
      "correct_answer": "A"
    },
    {
      "id": 54,
      "difficulty": "hard",
      "question": "p, q, r are rationals. If p > q and q > r, then which is true? ✅",
      "options": {
        "A": "p - r > 0",
        "B": "p/q > 1",
        "C": "r/p > 1",
        "D": "q - p > 0"
      },
      "correct_answer": "A"
    },
    {
      "id": 55,
      "difficulty": "hard",
      "question": "The average of 1/4 and 1/2 is x. The average of 1/8 and 3/8 is y. Compare x and y. ⚖️",
      "options": { "A": "x > y", "B": "x < y", "C": "x = y", "D": "2x = y" },
      "correct_answer": "A"
    },
    {
      "id": 56,
      "difficulty": "hard",
      "question": "How many of these numbers are less than 0.6? 11/20, 3/5, 13/25, 0.59, 31/50 🤹",
      "options": { "A": "1", "B": "2", "C": "3", "D": "4" },
      "correct_answer": "C"
    },
    {
      "id": 57,
      "difficulty": "hard",
      "question": "If a rational number m/n is in simplest form and lies between 0 and 1, which is always true? 🛡️",
      "options": { "A": "m > n", "B": "m < n", "C": "m = n", "D": "m = 1" },
      "correct_answer": "B"
    },
    {
      "id": 58,
      "difficulty": "hard",
      "question": "The rational number equivalent to 0.12 (with bar on 12) is:",
      "options": { "A": "4/33", "B": "12/99", "C": "1/8", "D": "3/25" },
      "correct_answer": "A"
    },
    {
      "id": 59,
      "difficulty": "hard",
      "question": "Find the greater: (| -5/7 | + | 2/7 |) or (| -5/7 + 2/7 |) 🥊",
      "options": {
        "A": "First",
        "B": "Second",
        "C": "Equal",
        "D": "Cannot compare"
      },
      "correct_answer": "A"
    },
    {
      "id": 60,
      "difficulty": "hard",
      "question": "If the reciprocal of a rational number is greater than the number itself, the number must be: 🔎",
      "options": {
        "A": "Greater than 1",
        "B": "Between 0 and 1",
        "C": "Negative",
        "D": "Less than -1"
      },
      "correct_answer": "B"
    }
  ]
}
