{
  "title": "Word Problems (Arithmetic Progression) - Grade 10 ICSE",
  "total_questions": 60,
  "questions": [
    {
      "id": 1,
      "difficulty": "easy",
      "question": "A man saved ₹10 in first week, ₹15 in second, ₹20 in third. How much in 8th week? 💰",
      "options": {
        "A": "₹45",
        "B": "₹40",
        "C": "₹50",
        "D": "₹55"
      },
      "correct_answer": "A"
    },
    {
      "id": 2,
      "difficulty": "easy",
      "question": "The first row of theater has 20 seats, each row has 2 more than previous. How many seats in 12th row? 🎭",
      "options": {
        "A": "42",
        "B": "40",
        "C": "44",
        "D": "38"
      },
      "correct_answer": "A"
    },
    {
      "id": 3,
      "difficulty": "easy",
      "question": "A tree grows 5 cm first year, 8 cm second, 11 cm third. How much in 10th year? 🌳",
      "options": {
        "A": "32 cm",
        "B": "29 cm",
        "C": "35 cm",
        "D": "26 cm"
      },
      "correct_answer": "A"
    },
    {
      "id": 4,
      "difficulty": "easy",
      "question": "Salary starts at ₹20000 with annual increment of ₹1500. Salary after 6 years? 💼",
      "options": {
        "A": "₹27500",
        "B": "₹29000",
        "C": "₹26000",
        "D": "₹30500"
      },
      "correct_answer": "A"
    },
    {
      "id": 5,
      "difficulty": "easy",
      "question": "Stack of logs: 20 at bottom, 19 next, up to 1 at top. Total logs? 🪵",
      "options": {
        "A": "210",
        "B": "200",
        "C": "220",
        "D": "190"
      },
      "correct_answer": "A"
    },
    {
      "id": 6,
      "difficulty": "easy",
      "question": "Temperature drops 2°C each hour from 25°C. Temperature after 8 hours? 🌡️",
      "options": {
        "A": "9°C",
        "B": "7°C",
        "C": "11°C",
        "D": "5°C"
      },
      "correct_answer": "A"
    },
    {
      "id": 7,
      "difficulty": "easy",
      "question": "Car depreciates ₹5000 first year, ₹4500 second, ₹4000 third. Depreciation in 6th year? 🚗",
      "options": {
        "A": "₹3000",
        "B": "₹2500",
        "C": "₹3500",
        "D": "₹2000"
      },
      "correct_answer": "A"
    },
    {
      "id": 8,
      "difficulty": "easy",
      "question": "Pipes in stack: 30 at bottom, decreasing by 2 each row. How many rows if top row has 8? 📦",
      "options": {
        "A": "12",
        "B": "11",
        "C": "13",
        "D": "10"
      },
      "correct_answer": "A"
    },
    {
      "id": 9,
      "difficulty": "easy",
      "question": "Plant grows 2 cm first month, 4 cm second, 6 cm third. Height after 1 year? 🌱",
      "options": {
        "A": "156 cm",
        "B": "144 cm",
        "C": "168 cm",
        "D": "132 cm"
      },
      "correct_answer": "A"
    },
    {
      "id": 10,
      "difficulty": "easy",
      "question": "Bus fare: ₹10 for first km, ₹7 for each additional km. Fare for 15 km? 🚌",
      "options": {
        "A": "₹108",
        "B": "₹105",
        "C": "₹112",
        "D": "₹98"
      },
      "correct_answer": "A"
    },
    {
      "id": 11,
      "difficulty": "easy",
      "question": "Staircase has 15 steps, first step requires 8 bricks, each next needs 2 more. Total bricks? 🧱",
      "options": {
        "A": "330",
        "B": "300",
        "C": "360",
        "D": "270"
      },
      "correct_answer": "A"
    },
    {
      "id": 12,
      "difficulty": "easy",
      "question": "Savings: ₹100 first month, ₹150 second, ₹200 third. Total savings in 2 years? 🏦",
      "options": {
        "A": "₹7500",
        "B": "₹7200",
        "C": "₹7800",
        "D": "₹8100"
      },
      "correct_answer": "A"
    },
    {
      "id": 13,
      "difficulty": "easy",
      "question": "Production: 100 units day 1, 105 day 2, 110 day 3. Production on day 30? 🏭",
      "options": {
        "A": "245",
        "B": "240",
        "C": "250",
        "D": "235"
      },
      "correct_answer": "A"
    },
    {
      "id": 14,
      "difficulty": "easy",
      "question": "Water tank leaks: 2L first hour, 4L second, 6L third. Total leakage in 10 hours? 💧",
      "options": {
        "A": "110 L",
        "B": "100 L",
        "C": "120 L",
        "D": "90 L"
      },
      "correct_answer": "A"
    },
    {
      "id": 15,
      "difficulty": "easy",
      "question": "Reading: 10 pages day 1, 15 day 2, 20 day 3. How many days to read 400 pages? 📚",
      "options": {
        "A": "10 days",
        "B": "9 days",
        "C": "11 days",
        "D": "12 days"
      },
      "correct_answer": "A"
    },
    {
      "id": 16,
      "difficulty": "easy",
      "question": "Ladder: bottom rung at 10 cm, each rung 25 cm apart. Height of 15th rung? 🪜",
      "options": {
        "A": "360 cm",
        "B": "350 cm",
        "C": "370 cm",
        "D": "340 cm"
      },
      "correct_answer": "A"
    },
    {
      "id": 17,
      "difficulty": "easy",
      "question": "Interest: ₹1000 first year, ₹950 second, ₹900 third. Interest in 8th year? 💵",
      "options": {
        "A": "₹650",
        "B": "₹600",
        "C": "₹700",
        "D": "₹550"
      },
      "correct_answer": "A"
    },
    {
      "id": 18,
      "difficulty": "easy",
      "question": "Race: 100m first day, 110m second, 120m third. Total distance in 2 weeks? 🏃",
      "options": {
        "A": "2170 m",
        "B": "2100 m",
        "C": "2240 m",
        "D": "2030 m"
      },
      "correct_answer": "A"
    },
    {
      "id": 19,
      "difficulty": "easy",
      "question": "Phone calls: 10 min first day, 12 min second, 14 min third. Total minutes in January? 📱",
      "options": {
        "A": "1240 min",
        "B": "1200 min",
        "C": "1280 min",
        "D": "1160 min"
      },
      "correct_answer": "A"
    },
    {
      "id": 20,
      "difficulty": "easy",
      "question": "Pizza slices: 1 slice first day, 3 second, 5 third. Slices eaten in 10 days? 🍕",
      "options": {
        "A": "100",
        "B": "81",
        "C": "121",
        "D": "64"
      },
      "correct_answer": "A"
    },
    {
      "id": 21,
      "difficulty": "medium",
      "question": "A man repays loan with first installment ₹100, then increases by ₹50 each month. If total loan is ₹7350, how many installments? 💳",
      "options": {
        "A": "21",
        "B": "20",
        "C": "22",
        "D": "19"
      },
      "correct_answer": "A"
    },
    {
      "id": 22,
      "difficulty": "medium",
      "question": "In a potato race, 20 potatoes placed 4m apart in straight line. First potato 24m from basket. Competitor picks each potato and brings to basket. Total distance? 🥔",
      "options": {
        "A": "2480 m",
        "B": "2400 m",
        "C": "2560 m",
        "D": "2320 m"
      },
      "correct_answer": "A"
    },
    {
      "id": 23,
      "difficulty": "medium",
      "question": "A contract on construction job specifies penalty: ₹200 for first day, ₹250 second, ₹300 third etc. If contractor pays ₹27750 as penalty, how many days delayed? ⚖️",
      "options": {
        "A": "30 days",
        "B": "25 days",
        "C": "35 days",
        "D": "40 days"
      },
      "correct_answer": "A"
    },
    {
      "id": 24,
      "difficulty": "medium",
      "question": "200 logs stacked: 20 in bottom row, 19 in next, up to top. How many rows? How many in top row? 📊",
      "options": {
        "A": "16 rows, 5 in top",
        "B": "15 rows, 6 in top",
        "C": "17 rows, 4 in top",
        "D": "14 rows, 7 in top"
      },
      "correct_answer": "A"
    },
    {
      "id": 25,
      "difficulty": "medium",
      "question": "A sum of ₹2800 is to be used for giving prizes. Each prize is ₹50 less than preceding. If first prize is ₹400, how many prizes? 🏆",
      "options": {
        "A": "8",
        "B": "7",
        "C": "9",
        "D": "10"
      },
      "correct_answer": "A"
    },
    {
      "id": 26,
      "difficulty": "medium",
      "question": "A manufacturer produces 600 units in 3rd year and 700 in 7th year. Assuming production increases uniformly by fixed number yearly, find production in 1st year and total in first 7 years. 🏭",
      "options": {
        "A": "550, 4375",
        "B": "500, 4200",
        "C": "525, 4305",
        "D": "575, 4445"
      },
      "correct_answer": "A"
    },
    {
      "id": 27,
      "difficulty": "medium",
      "question": "A child puts one-rupee coins in piggy bank: ₹1 on day 1, ₹2 on day 2, ₹3 on day 3 etc. After 30 days, how much? 🐖",
      "options": {
        "A": "₹465",
        "B": "₹450",
        "C": "₹480",
        "D": "₹435"
      },
      "correct_answer": "A"
    },
    {
      "id": 28,
      "difficulty": "medium",
      "question": "A spiral made from 9 semicircles, radii 0.5cm, 1cm, 1.5cm, ... Total length of spiral? 🌀",
      "options": {
        "A": "99π/2 cm",
        "B": "45π cm",
        "C": "81π/2 cm",
        "D": "36π cm"
      },
      "correct_answer": "A"
    },
    {
      "id": 29,
      "difficulty": "medium",
      "question": "Subba Rao started work at ₹5000 annually with increment of ₹200. In which year income reaches ₹7000? 👨‍💼",
      "options": {
        "A": "11th year",
        "B": "10th year",
        "C": "12th year",
        "D": "9th year"
      },
      "correct_answer": "A"
    },
    {
      "id": 30,
      "difficulty": "medium",
      "question": "Ramkali saved ₹5 in first week, ₹10 in second, ₹15 in third. After how many weeks savings become ₹200? 💰",
      "options": {
        "A": "8 weeks",
        "B": "7 weeks",
        "C": "9 weeks",
        "D": "10 weeks"
      },
      "correct_answer": "A"
    },
    {
      "id": 31,
      "difficulty": "medium",
      "question": "The income of a person is ₹300000 in first year and increases by ₹10000 yearly. Find total earnings in 20 years. 💵",
      "options": {
        "A": "₹79,00,000",
        "B": "₹80,00,000",
        "C": "₹78,00,000",
        "D": "₹81,00,000"
      },
      "correct_answer": "A"
    },
    {
      "id": 32,
      "difficulty": "medium",
      "question": "A man arranges to pay off debt ₹3600 by 40 monthly installments forming AP. When 30 installments paid, he dies leaving 1/3 debt unpaid. Find value of first installment. 💸",
      "options": {
        "A": "₹51",
        "B": "₹53",
        "C": "₹49",
        "D": "₹55"
      },
      "correct_answer": "A"
    },
    {
      "id": 33,
      "difficulty": "medium",
      "question": "A ladder has rungs 25cm apart. Bottom rung 10cm above ground, top rung 4m above ground. How many rungs? 🪜",
      "options": {
        "A": "16",
        "B": "15",
        "C": "17",
        "D": "14"
      },
      "correct_answer": "A"
    },
    {
      "id": 34,
      "difficulty": "medium",
      "question": "In a school, students thought of planting trees. Each section planted as many trees as class number: class 1 planted 1, class 2 planted 2 etc. There are 12 classes. How many trees? 🌳",
      "options": {
        "A": "78",
        "B": "66",
        "C": "90",
        "D": "72"
      },
      "correct_answer": "A"
    },
    {
      "id": 35,
      "difficulty": "medium",
      "question": "A small terrace at football ground has 15 steps: first step requires 100 bricks, each next step requires 5 fewer bricks. How many bricks needed? 🧱",
      "options": {
        "A": "1275",
        "B": "1200",
        "C": "1350",
        "D": "1125"
      },
      "correct_answer": "A"
    },
    {
      "id": 36,
      "difficulty": "medium",
      "question": "The houses of a row numbered 1 to 49. Show that there exists x such that sum of numbers before x = sum after x. Find x. 🏠",
      "options": {
        "A": "35",
        "B": "34",
        "C": "36",
        "D": "33"
      },
      "correct_answer": "A"
    },
    {
      "id": 37,
      "difficulty": "medium",
      "question": "A piece of equipment cost factory ₹600000. If it depreciates 12.5% first year, 11.5% second, 10.5% third etc. Find depreciated value after 6 years. 🏭",
      "options": {
        "A": "₹325000",
        "B": "₹315000",
        "C": "₹335000",
        "D": "₹345000"
      },
      "correct_answer": "A"
    },
    {
      "id": 38,
      "difficulty": "medium",
      "question": "A sum of ₹700 is to be used for 7 cash prizes. Each prize is ₹20 less than preceding. Find value of first prize. 🎁",
      "options": {
        "A": "₹160",
        "B": "₹140",
        "C": "₹180",
        "D": "₹120"
      },
      "correct_answer": "A"
    },
    {
      "id": 39,
      "difficulty": "medium",
      "question": "In a potato race, bucket is 5m from first potato, others at 3m apart in straight line. There are 10 potatoes. Competitor picks each potato and brings to bucket. Total distance? 🥔",
      "options": {
        "A": "370 m",
        "B": "350 m",
        "C": "390 m",
        "D": "330 m"
      },
      "correct_answer": "A"
    },
    {
      "id": 40,
      "difficulty": "medium",
      "question": "A manufacturer's production increases by same number yearly. Production in 5th year is 564 units and in 9th year is 676 units. Find production in 1st year. 📈",
      "options": {
        "A": "500",
        "B": "520",
        "C": "480",
        "D": "540"
      },
      "correct_answer": "A"
    },
    {
      "id": 41,
      "difficulty": "hard",
      "question": "A man starts repaying loan: first installment ₹1000. If he increases installment by ₹50 monthly, how much will he pay in 15th installment? When will total reach ₹51750? 💰",
      "options": {
        "A": "₹1700, 30 months",
        "B": "₹1650, 29 months",
        "C": "₹1750, 31 months",
        "D": "₹1600, 28 months"
      },
      "correct_answer": "A"
    },
    {
      "id": 42,
      "difficulty": "hard",
      "question": "The ratio of sums of m and n terms of AP is m²:n². Show that ratio of mth and nth terms is (2m-1):(2n-1). MCQ: If Sm:Sn = m²:n², then Tm:Tn = ? 📊",
      "options": {
        "A": "(2m-1):(2n-1)",
        "B": "m:n",
        "C": "(2m+1):(2n+1)",
        "D": "m²:n²"
      },
      "correct_answer": "A"
    },
    {
      "id": 43,
      "difficulty": "hard",
      "question": "Between 1 and 31, m numbers inserted so that resulting sequence is AP. Ratio of 7th and (m-1)th numbers is 5:9. Find m. 🔢",
      "options": {
        "A": "14",
        "B": "13",
        "C": "15",
        "D": "12"
      },
      "correct_answer": "A"
    },
    {
      "id": 44,
      "difficulty": "hard",
      "question": "A man saved ₹16500 in 10 years. Each year after first he saved ₹100 more than preceding. How much did he save first year? 💵",
      "options": {
        "A": "₹1200",
        "B": "₹1100",
        "C": "₹1300",
        "D": "₹1400"
      },
      "correct_answer": "A"
    },
    {
      "id": 45,
      "difficulty": "hard",
      "question": "A farmer buys used tractor for ₹120000. He pays ₹6000 cash and agrees to pay balance in annual installments of ₹5000 plus 12% interest. Total tractor cost? 🚜",
      "options": {
        "A": "₹166800",
        "B": "₹165000",
        "C": "₹168600",
        "D": "₹163200"
      },
      "correct_answer": "A"
    },
    {
      "id": 46,
      "difficulty": "hard",
      "question": "Shamshad Ali buys scooter for ₹22000. He pays ₹4000 cash and agrees to pay balance in annual installments of ₹1000 plus 10% interest. Total scooter cost? 🛵",
      "options": {
        "A": "₹29200",
        "B": "₹29500",
        "C": "₹29000",
        "D": "₹29700"
      },
      "correct_answer": "A"
    },
    {
      "id": 47,
      "difficulty": "hard",
      "question": "A person writes letter to 4 friends, asks each to copy and send to 4 others, and so on. Assuming no break, how much spent on postage at ₹0.50 per letter by time 8th set? 📮",
      "options": {
        "A": "₹43690",
        "B": "₹43690.50",
        "C": "₹43700",
        "D": "₹43680"
      },
      "correct_answer": "A"
    },
    {
      "id": 48,
      "difficulty": "hard",
      "question": "150 workers were engaged to finish job in certain days. 4 workers dropped on second day, 4 more on third etc. It took 8 more days. Find number of days work lasted. 👷",
      "options": {
        "A": "25 days",
        "B": "24 days",
        "C": "26 days",
        "D": "27 days"
      },
      "correct_answer": "A"
    },
    {
      "id": 49,
      "difficulty": "hard",
      "question": "A manufacturer's production is 6000 units in 3rd year and 7000 in 7th year. Assuming increase uniformly, find production in 1st year and total in first 7 years. 🏭",
      "options": {
        "A": "5500, 43750",
        "B": "5000, 42000",
        "C": "5250, 43050",
        "D": "5750, 44450"
      },
      "correct_answer": "A"
    },
    {
      "id": 50,
      "difficulty": "hard",
      "question": "There are 25 trees at equal distances of 5m in line with water tank 10m from first tree. Gardener waters each tree separately from tank. Total distance? 🌳",
      "options": {
        "A": "3500 m",
        "B": "3450 m",
        "C": "3550 m",
        "D": "3600 m"
      },
      "correct_answer": "A"
    },
    {
      "id": 51,
      "difficulty": "hard",
      "question": "A contract specifies penalty: ₹50 for first day, ₹100 second, ₹150 third etc. Total penalty not to exceed ₹3150. Maximum days delayed? ⏳",
      "options": {
        "A": "10 days",
        "B": "9 days",
        "C": "11 days",
        "D": "12 days"
      },
      "correct_answer": "A"
    },
    {
      "id": 52,
      "difficulty": "hard",
      "question": "A spiral is made from 13 semicircles with radii 0.5cm, 1.0cm, 1.5cm etc. Total length of spiral? 🌀",
      "options": {
        "A": "143π/2 cm",
        "B": "91π/2 cm",
        "C": "169π/2 cm",
        "D": "65π cm"
      },
      "correct_answer": "A"
    },
    {
      "id": 53,
      "difficulty": "hard",
      "question": "In a game, person wins ₹5 for reaching skittle 1, ₹8 for 2, ₹11 for 3 etc. He wins ₹185. How many skittles knocked? 🎳",
      "options": {
        "A": "10",
        "B": "9",
        "C": "11",
        "D": "12"
      },
      "correct_answer": "A"
    },
    {
      "id": 54,
      "difficulty": "hard",
      "question": "A well is dug 14m deep. Cost: ₹15 for first meter, ₹20 for second, ₹25 for third etc. Total cost? ⛏️",
      "options": {
        "A": "₹1190",
        "B": "₹1200",
        "C": "₹1180",
        "D": "₹1210"
      },
      "correct_answer": "A"
    },
    {
      "id": 55,
      "difficulty": "hard",
      "question": "A sum of ₹7000 is to be awarded to 15 persons. Each award is either ₹500 or ₹100. Find number of ₹500 awards. 🏅",
      "options": {
        "A": "11",
        "B": "10",
        "C": "12",
        "D": "9"
      },
      "correct_answer": "A"
    },
    {
      "id": 56,
      "difficulty": "hard",
      "question": "If m times mth term equals n times nth term of AP, show that (m+n)th term is 0. MCQ: If 7×7th = 13×13th, then 20th term = ? 🎯",
      "options": {
        "A": "0",
        "B": "1",
        "C": "7",
        "D": "13"
      },
      "correct_answer": "A"
    },
    {
      "id": 57,
      "difficulty": "hard",
      "question": "A man saved ₹32000 during 8 years. Each year after first he saved ₹500 more than preceding. How much did he save in 5th year? 💰",
      "options": {
        "A": "₹4000",
        "B": "₹3500",
        "C": "₹4500",
        "D": "₹5000"
      },
      "correct_answer": "A"
    },
    {
      "id": 58,
      "difficulty": "hard",
      "question": "The interior angles of polygon are in AP. Smallest angle=120°, common difference=5°. Number of sides if largest angle is 155°? 📐",
      "options": {
        "A": "9",
        "B": "8",
        "C": "10",
        "D": "7"
      },
      "correct_answer": "A"
    },
    {
      "id": 59,
      "difficulty": "hard",
      "question": "A child puts ₹1 in piggy bank on birthday, ₹2 on next, ₹3 on next etc. How much on 18th birthday? Total till 18th birthday? 🎂",
      "options": {
        "A": "₹18, ₹171",
        "B": "₹18, ₹190",
        "C": "₹18, ₹210",
        "D": "₹18, ₹153"
      },
      "correct_answer": "A"
    },
    {
      "id": 60,
      "difficulty": "hard",
      "question": "A man arranges to pay off debt ₹2550 by 20 monthly installments forming AP. When 15 installments paid, he dies leaving 40% debt unpaid. Find first installment. 💳",
      "options": {
        "A": "₹119",
        "B": "₹121",
        "C": "₹117",
        "D": "₹123"
      },
      "correct_answer": "A"
    }
  ]
}