{
  "title": "Word Problems (Ratio and Proportion) - Grade 5 ICSE",
  "total_questions": 90,
  "questions": [
    {
      "id": 1,
      "difficulty": "easy",
      "question": "The ratio of boys to girls in a class is 2:3. If there are 10 boys, how many girls are there?",
      "options": { "A": "12", "B": "15", "C": "20", "D": "18" },
      "correct_answer": "B"
    },
    {
      "id": 2,
      "difficulty": "easy",
      "question": "The ratio of red balls to blue balls is 1:4. If there are 5 red balls, how many blue balls are there?",
      "options": { "A": "10", "B": "15", "C": "20", "D": "25" },
      "correct_answer": "C"
    },
    {
      "id": 3,
      "difficulty": "easy",
      "question": "The ratio of cats to dogs is 3:2. If there are 6 cats, how many dogs are there?",
      "options": { "A": "2", "B": "3", "C": "4", "D": "5" },
      "correct_answer": "C"
    },
    {
      "id": 4,
      "difficulty": "easy",
      "question": "The ratio of apples to oranges is 5:1. If there are 25 apples, how many oranges are there?",
      "options": { "A": "4", "B": "5", "C": "6", "D": "8" },
      "correct_answer": "B"
    },
    {
      "id": 5,
      "difficulty": "easy",
      "question": "The ratio of boys to girls is 4:5. If there are 20 boys, how many girls are there?",
      "options": { "A": "15", "B": "20", "C": "25", "D": "30" },
      "correct_answer": "C"
    },
    {
      "id": 6,
      "difficulty": "easy",
      "question": "The ratio of pens to pencils is 2:7. If there are 14 pens, how many pencils are there?",
      "options": { "A": "35", "B": "42", "C": "49", "D": "28" },
      "correct_answer": "C"
    },
    {
      "id": 7,
      "difficulty": "easy",
      "question": "The ratio of boys to girls is 3:1. If there are 12 students in total, how many boys are there?",
      "options": { "A": "6", "B": "9", "C": "3", "D": "8" },
      "correct_answer": "B"
    },
    {
      "id": 8,
      "difficulty": "easy",
      "question": "The ratio of milk to water is 5:2. If water is 6 litres, how much milk is there?",
      "options": { "A": "10 L", "B": "12 L", "C": "15 L", "D": "18 L" },
      "correct_answer": "C"
    },
    {
      "id": 9,
      "difficulty": "easy",
      "question": "The ratio of boys to girls in a class is 1:2. If there are 8 boys, how many girls are there?",
      "options": { "A": "12", "B": "14", "C": "16", "D": "18" },
      "correct_answer": "C"
    },
    {
      "id": 10,
      "difficulty": "easy",
      "question": "The ratio of apples to bananas is 4:3. If there are 12 bananas, how many apples are there?",
      "options": { "A": "14", "B": "16", "C": "18", "D": "20" },
      "correct_answer": "B"
    },

    {
      "id": 41,
      "difficulty": "medium",
      "question": "The ratio of boys to girls in a school is 7:5. If there are 210 boys, how many girls are there?",
      "options": { "A": "140", "B": "150", "C": "160", "D": "180" },
      "correct_answer": "B"
    },
    {
      "id": 42,
      "difficulty": "medium",
      "question": "The ratio of money with A to B is 3:5. If B has ₹500, how much money does A have?",
      "options": { "A": "₹200", "B": "₹250", "C": "₹300", "D": "₹350" },
      "correct_answer": "C"
    },
    {
      "id": 43,
      "difficulty": "medium",
      "question": "The ratio of ages of Riya and Sita is 4:7. If Riya is 12 years old, what is Sita’s age?",
      "options": { "A": "18", "B": "20", "C": "21", "D": "24" },
      "correct_answer": "C"
    },
    {
      "id": 44,
      "difficulty": "medium",
      "question": "The ratio of boys to girls in a class is 5:3. If there are 40 students, how many girls are there?",
      "options": { "A": "15", "B": "18", "C": "20", "D": "24" },
      "correct_answer": "A"
    },
    {
      "id": 45,
      "difficulty": "medium",
      "question": "The ratio of red marbles to blue marbles is 6:11. If there are 85 marbles in total, how many are red?",
      "options": { "A": "24", "B": "30", "C": "36", "D": "42" },
      "correct_answer": "B"
    },

    {
      "id": 46,
      "difficulty": "medium",
      "question": "The ratio of milk to water is 4:1. If the mixture contains 25 litres, how much water is there?",
      "options": { "A": "4 L", "B": "5 L", "C": "6 L", "D": "8 L" },
      "correct_answer": "B"
    },
    {
      "id": 47,
      "difficulty": "medium",
      "question": "The ratio of pencils to erasers is 9:4. If there are 36 pencils, how many erasers are there?",
      "options": { "A": "12", "B": "14", "C": "16", "D": "18" },
      "correct_answer": "C"
    },
    {
      "id": 48,
      "difficulty": "medium",
      "question": "The ratio of boys to girls in a school is 11:9. If there are 440 students, how many boys are there?",
      "options": { "A": "220", "B": "240", "C": "242", "D": "264" },
      "correct_answer": "C"
    },
    {
      "id": 49,
      "difficulty": "medium",
      "question": "The ratio of lengths of two ribbons is 5:7. If the shorter ribbon is 20 cm long, what is the length of the longer ribbon?",
      "options": { "A": "24 cm", "B": "26 cm", "C": "28 cm", "D": "30 cm" },
      "correct_answer": "C"
    },
    {
      "id": 50,
      "difficulty": "medium",
      "question": "The ratio of boys to girls is 8:7. If there are 120 boys, how many girls are there?",
      "options": { "A": "90", "B": "95", "C": "100", "D": "105" },
      "correct_answer": "D"
    },

    {
      "id": 81,
      "difficulty": "hard",
      "question": "The ratio of three numbers is 2:3:5. If their sum is 100, find the largest number.",
      "options": { "A": "20", "B": "30", "C": "40", "D": "50" },
      "correct_answer": "D"
    },
    {
      "id": 82,
      "difficulty": "hard",
      "question": "The ratio of ages of A and B is 7:9. After 4 years, the ratio becomes 9:11. What is A’s present age?",
      "options": { "A": "14", "B": "21", "C": "28", "D": "35" },
      "correct_answer": "A"
    },
    {
      "id": 83,
      "difficulty": "hard",
      "question": "The ratio of milk to water in a mixture is 5:3. If 16 litres of water is added, the ratio becomes 5:7. Find the initial quantity of water.",
      "options": {
        "A": "24 L",
        "B": "20 L",
        "C": "28 L",
        "D": "32 L"
      },
      "correct_answer": "A"
    },
    {
      "id": 84,
      "difficulty": "hard",
      "question": "The ratio of boys to girls is 4:5. If 18 more boys are added, the ratio becomes 7:5. Find the original number of boys.",
      "options": { "A": "24", "B": "28", "C": "32", "D": "36" },
      "correct_answer": "A"
    },
    {
      "id": 85,
      "difficulty": "hard",
      "question": "The ratio of two numbers is 3:7 and their difference is 44. Find the smaller number.",
      "options": { "A": "33", "B": "44", "C": "66", "D": "77" },
      "correct_answer": "A"
    },

    {
      "id": 86,
      "difficulty": "hard",
      "question": "The ratio of present ages of two brothers is 5:8. After 6 years, the ratio becomes 7:10. Find the younger brother’s present age.",
      "options": { "A": "10", "B": "15", "C": "20", "D": "25" },
      "correct_answer": "B"
    },
    {
      "id": 87,
      "difficulty": "hard",
      "question": "The ratio of two quantities is 11:13. If their sum is 240, find the larger quantity.",
      "options": { "A": "120", "B": "130", "C": "140", "D": "156" },
      "correct_answer": "B"
    },
    {
      "id": 88,
      "difficulty": "hard",
      "question": "The ratio of boys to girls in a school is 9:11. If 40 girls leave the school, the ratio becomes 9:7. Find the original number of girls.",
      "options": { "A": "110", "B": "120", "C": "132", "D": "154" },
      "correct_answer": "A"
    },
    {
      "id": 89,
      "difficulty": "hard",
      "question": "The ratio of two numbers is 4:9. If 15 is added to both numbers, the ratio becomes 5:10. Find the smaller number.",
      "options": { "A": "40", "B": "50", "C": "60", "D": "70" },
      "correct_answer": "C"
    },
    {
      "id": 90,
      "difficulty": "hard",
      "question": "The ratio of three numbers is 3:4:5. If the largest number is 60, find the sum of all three numbers.",
      "options": { "A": "108", "B": "120", "C": "132", "D": "144" },
      "correct_answer": "D"
    }
  ]
}
