{
  "title": "Bar Graphs Advanced - Grade 7 CBSE",
  "total_questions": 150,
  "questions": [
    {"id": 1, "difficulty": "easy", "question": "What type of data is best represented by a bar graph?", "options": {"A": "Continuous data", "B": "Categorical data", "C": "Time series data", "D": "Geographic data"}, "correct_answer": "B"},
    {"id": 2, "difficulty": "easy", "question": "In a bar graph, the horizontal axis usually shows:", "options": {"A": "Categories", "B": "Frequencies", "C": "Percentages", "D": "Time"}, "correct_answer": "A"},
    {"id": 3, "difficulty": "easy", "question": "The vertical axis in a bar graph typically shows:", "options": {"A": "Categories", "B": "Frequency or count", "C": "Labels", "D": "Colors"}, "correct_answer": "B"},
    {"id": 4, "difficulty": "easy", "question": "What is the space between bars in a bar graph called?", "options": {"A": "Margin", "B": "Gap", "C": "Space", "D": "Interval"}, "correct_answer": "B"},
    {"id": 5, "difficulty": "easy", "question": "If a bar reaches 40 on a scale where each unit represents 5, what is the actual value?", "options": {"A": "40", "B": "200", "C": "8", "D": "45"}, "correct_answer": "B"},
    {"id": 6, "difficulty": "easy", "question": "Which type of bar graph has bars touching each other?", "options": {"A": "Histogram", "B": "Vertical bar graph", "C": "Horizontal bar graph", "D": "Double bar graph"}, "correct_answer": "A"},
    {"id": 7, "difficulty": "easy", "question": "What is a double bar graph used for?", "options": {"A": "Comparing two sets of data", "B": "Showing trends over time", "C": "Displaying percentages", "D": "Showing geographical data"}, "correct_answer": "A"},
    {"id": 8, "difficulty": "easy", "question": "In a bar graph, if the scale is 1 unit = 10 students, and a bar reaches 7 units, how many students does it represent?", "options": {"A": "7", "B": "10", "C": "70", "D": "17"}, "correct_answer": "C"},
    {"id": 9, "difficulty": "easy", "question": "Which of these is NOT a type of bar graph?", "options": {"A": "Vertical bar graph", "B": "Horizontal bar graph", "C": "Circular bar graph", "D": "Double bar graph"}, "correct_answer": "C"},
    {"id": 10, "difficulty": "easy", "question": "What should be included in a bar graph title?", "options": {"A": "What the graph shows", "B": "Date created", "C": "Author's name", "D": "All of these"}, "correct_answer": "A"},
    {"id": 11, "difficulty": "easy", "question": "If a bar graph shows favorite colors of students, what type of data is this?", "options": {"A": "Numerical", "B": "Categorical", "C": "Continuous", "D": "Ordinal"}, "correct_answer": "B"},
    {"id": 12, "difficulty": "easy", "question": "What is the purpose of a scale in a bar graph?", "options": {"A": "To make graph colorful", "B": "To show exact values", "C": "To label categories", "D": "To add title"}, "correct_answer": "B"},
    {"id": 13, "difficulty": "easy", "question": "Which axis is called the x-axis?", "options": {"A": "Horizontal axis", "B": "Vertical axis", "C": "Diagonal axis", "D": "None of these"}, "correct_answer": "A"},
    {"id": 14, "difficulty": "easy", "question": "Which axis is called the y-axis?", "options": {"A": "Horizontal axis", "B": "Vertical axis", "C": "Diagonal axis", "D": "None of these"}, "correct_answer": "B"},
    {"id": 15, "difficulty": "easy", "question": "If a bar graph shows months on x-axis and rainfall on y-axis, what is being measured?", "options": {"A": "Categories", "B": "Frequencies", "C": "Both", "D": "Neither"}, "correct_answer": "B"},
    {"id": 16, "difficulty": "easy", "question": "What does the height of a bar represent?", "options": {"A": "Category name", "B": "Frequency of that category", "C": "Color of category", "D": "Time period"}, "correct_answer": "B"},
    {"id": 17, "difficulty": "easy", "question": "In a horizontal bar graph, which axis shows categories?", "options": {"A": "Vertical axis", "B": "Horizontal axis", "C": "Both axes", "D": "Neither axis"}, "correct_answer": "A"},
    {"id": 18, "difficulty": "easy", "question": "What is the first step in making a bar graph?", "options": {"A": "Draw bars", "B": "Choose scale", "C": "Collect data", "D": "Add title"}, "correct_answer": "C"},
    {"id": 19, "difficulty": "easy", "question": "Why are bars in a bar graph separated by gaps?", "options": {"A": "To show they're discrete categories", "B": "To save space", "C": "To make it colorful", "D": "No particular reason"}, "correct_answer": "A"},
    {"id": 20, "difficulty": "easy", "question": "What is the range of data in a bar graph?", "options": {"A": "Difference between highest and lowest values", "B": "Sum of all values", "C": "Average of values", "D": "Number of categories"}, "correct_answer": "A"},
    
    {"id": 21, "difficulty": "medium", "question": "In a bar graph showing test scores: 10 students scored 80-90, 15 scored 70-80, 20 scored 60-70. What is the total number of students?", "options": {"A": "35", "B": "40", "C": "45", "D": "50"}, "correct_answer": "C"},
    {"id": 22, "difficulty": "medium", "question": "A bar graph shows sales for 5 products: A=40 units, B=60 units, C=30 units, D=50 units, E=20 units. What is the average sales?", "options": {"A": "35", "B": "40", "C": "45", "D": "50"}, "correct_answer": "B"},
    {"id": 23, "difficulty": "medium", "question": "In a double bar graph comparing boys and girls in clubs: Sports - Boys: 40, Girls: 30; Music - Boys: 20, Girls: 35; Art - Boys: 25, Girls: 40. Which club has maximum total students?", "options": {"A": "Sports", "B": "Music", "C": "Art", "D": "Sports and Art tie"}, "correct_answer": "A"},
    {"id": 24, "difficulty": "medium", "question": "A bar graph scale is 1 cm = 50 people. If a bar is 6.5 cm tall, how many people does it represent?", "options": {"A": "300", "B": "325", "C": "350", "D": "375"}, "correct_answer": "B"},
    {"id": 25, "difficulty": "medium", "question": "In a bar graph of monthly rainfall (in mm): Jan=40, Feb=60, Mar=80, Apr=100. What percentage is March of total rainfall?", "options": {"A": "25%", "B": "28.57%", "C": "30%", "D": "35%"}, "correct_answer": "B"},
    {"id": 26, "difficulty": "medium", "question": "A horizontal bar graph shows favorite subjects: Math=45, Science=35, English=40, History=30. What is the ratio of Math to History students?", "options": {"A": "2:3", "B": "3:2", "C": "4:3", "D": "3:4"}, "correct_answer": "B"},
    {"id": 27, "difficulty": "medium", "question": "In a stacked bar graph, Company X: Q1=100, Q2=120, Q3=150, Q4=180; Company Y: Q1=80, Q2=100, Q3=130, Q4=160. What is the difference in Q4 sales?", "options": {"A": "10", "B": "15", "C": "20", "D": "25"}, "correct_answer": "C"},
    {"id": 28, "difficulty": "medium", "question": "A bar graph shows age groups: 0-10=25, 11-20=40, 21-30=35, 31-40=30, 41-50=20. What is the median age group?", "options": {"A": "11-20", "B": "21-30", "C": "31-40", "D": "0-10"}, "correct_answer": "B"},
    {"id": 29, "difficulty": "medium", "question": "In a comparative bar graph, School A: Boys=300, Girls=250; School B: Boys=280, Girls=270. What is the total students in both schools?", "options": {"A": "1000", "B": "1050", "C": "1100", "D": "1150"}, "correct_answer": "C"},
    {"id": 30, "difficulty": "medium", "question": "A bar graph has scale: 1 unit = 20 books. If the highest bar reaches 8.5 units, what is the maximum number of books?", "options": {"A": "160", "B": "170", "C": "180", "D": "190"}, "correct_answer": "B"},
    {"id": 31, "difficulty": "medium", "question": "In a percentage bar graph, if a category shows 60% and total is 500, what is the actual value?", "options": {"A": "250", "B": "300", "C": "350", "D": "400"}, "correct_answer": "B"},
    {"id": 32, "difficulty": "medium", "question": "A bar graph shows temperatures: Mon=30°, Tue=32°, Wed=28°, Thu=35°, Fri=31°. What is the range?", "options": {"A": "5°", "B": "6°", "C": "7°", "D": "8°"}, "correct_answer": "C"},
    {"id": 33, "difficulty": "medium", "question": "In a double bar graph for 2020 and 2021 sales: Product A: 2020=400, 2021=450; Product B: 2020=350, 2021=420; Product C: 2020=500, 2021=480. Which product showed decrease?", "options": {"A": "A", "B": "B", "C": "C", "D": "None"}, "correct_answer": "C"},
    {"id": 34, "difficulty": "medium", "question": "A bar graph scale needs to show values from 0 to 250. What would be a good scale interval?", "options": {"A": "10", "B": "25", "C": "50", "D": "100"}, "correct_answer": "B"},
    {"id": 35, "difficulty": "medium", "question": "In a bar graph, if the mode is 45 and there are 5 bars with values 30, 45, 45, 40, 50, what is the mean?", "options": {"A": "41", "B": "42", "C": "43", "D": "44"}, "correct_answer": "B"},
    {"id": 36, "difficulty": "medium", "question": "A bar graph shows distances: Home-School=5 km, School-Park=3 km, Park-Mall=7 km, Mall-Home=6 km. What is the total distance?", "options": {"A": "18 km", "B": "19 km", "C": "20 km", "D": "21 km"}, "correct_answer": "D"},
    {"id": 37, "difficulty": "medium", "question": "In a grouped bar graph, Group 1: A=20, B=30, C=40; Group 2: A=25, B=35, C=45. What is the total for category B?", "options": {"A": "55", "B": "60", "C": "65", "D": "70"}, "correct_answer": "C"},
    {"id": 38, "difficulty": "medium", "question": "A bar graph has values: 120, 150, 180, 210, 240. If scale is 1 cm = 30 units, what is the height of the 180 bar in cm?", "options": {"A": "5", "B": "6", "C": "7", "D": "8"}, "correct_answer": "B"},
    {"id": 39, "difficulty": "medium", "question": "In a bar graph showing test scores out of 50: 10 students got 40+, 15 got 30-39, 20 got 20-29, 5 got below 20. How many students took the test?", "options": {"A": "45", "B": "50", "C": "55", "D": "60"}, "correct_answer": "B"},
    {"id": 40, "difficulty": "medium", "question": "A bar graph shows population: 2018=5000, 2019=5500, 2020=6000, 2021=6500. What is the percentage increase from 2018 to 2021?", "options": {"A": "25%", "B": "30%", "C": "35%", "D": "40%"}, "correct_answer": "B"},
    {"id": 41, "difficulty": "medium", "question": "In a horizontal bar graph, the longest bar represents 250 units. If the scale is 1 cm = 50 units, how long is this bar?", "options": {"A": "4 cm", "B": "5 cm", "C": "6 cm", "D": "7 cm"}, "correct_answer": "B"},
    {"id": 42, "difficulty": "medium", "question": "A bar graph has 6 categories with frequencies: 45, 60, 75, 30, 90, 105. What is the range?", "options": {"A": "60", "B": "65", "C": "70", "D": "75"}, "correct_answer": "D"},
     {
    "id": 43,
    "difficulty": "medium",
    "question": "In a comparative bar graph for two cities' rainfall: City A: Jan=50, Feb=60, Mar=70; City B: Jan=40, Feb=50, Mar=65. Which month has largest difference?",
    "options": {
      "A": "January",
      "B": "February",
      "C": "March",
      "D": "January and February tie"
    },
    "correct_answer": "D"
  },  {"id": 44, "difficulty": "medium", "question": "A bar graph shows marks: 0-20=5, 21-40=10, 41-60=15, 61-80=20, 81-100=10. How many students scored above 40?", "options": {"A": "30", "B": "35", "C": "40", "D": "45"}, "correct_answer": "D"},
    {"id": 45, "difficulty": "medium", "question": "In a percentage bar graph, if the total is 800 and one bar shows 25%, what is the value?", "options": {"A": "150", "B": "200", "C": "250", "D": "300"}, "correct_answer": "B"},
    {"id": 46, "difficulty": "medium", "question": "A bar graph scale is 2 cm = 100 people. If a bar is 7 cm tall, how many people does it represent?", "options": {"A": "300", "B": "325", "C": "350", "D": "375"}, "correct_answer": "C"},
    {"id": 47, "difficulty": "medium", "question": "In a double bar graph for sports participation: Football - Boys: 40, Girls: 20; Cricket - Boys: 35, Girls: 25; Basketball - Boys: 30, Girls: 30. What is the total number of girls?", "options": {"A": "65", "B": "70", "C": "75", "D": "80"}, "correct_answer": "C"},
    {"id": 48, "difficulty": "medium", "question": "A bar graph shows daily sales: Mon=₹1200, Tue=₹1500, Wed=₹1800, Thu=₹2100, Fri=₹2400. What is the average daily sale?", "options": {"A": "₹1700", "B": "₹1750", "C": "₹1800", "D": "₹1850"}, "correct_answer": "C"},
    {"id": 49, "difficulty": "medium", "question": "In a bar graph with scale 1 unit = 5 kg, if the maximum value is 85 kg, what should be the maximum on the scale?", "options": {"A": "15", "B": "17", "C": "18", "D": "20"}, "correct_answer": "D"},
    {"id": 50, "difficulty": "medium", "question": "A bar graph has values: 48, 64, 80, 96, 112. If scale interval is 16, how many intervals are needed?", "options": {"A": "6", "B": "7", "C": "8", "D": "9"}, "correct_answer": "B"},
      {
    "id": 51,
    "difficulty": "medium",
    "question": "In a grouped bar graph for two years: 2020: A=100, B=150, C=200; 2021: A=120, B=180, C=220. What is the percentage increase in total from 2020 to 2021?",
    "options": {
      "A": "14%",
      "B": "15.56%",
      "C": "16.67%",
      "D": "18%"
    },
    "correct_answer": "B"
  }, {"id": 52, "difficulty": "medium", "question": "A bar graph shows ages: 10-20=25, 21-30=35, 31-40=40, 41-50=30. What is the modal class?", "options": {"A": "10-20", "B": "21-30", "C": "31-40", "D": "41-50"}, "correct_answer": "C"},
    {"id": 53, "difficulty": "medium", "question": "In a horizontal bar graph, if the scale is 1 cm = 25 units and a bar is 8.4 cm long, what is the value?", "options": {"A": "200", "B": "205", "C": "210", "D": "215"}, "correct_answer": "C"},
    {"id": 54, "difficulty": "medium", "question": "A bar graph has 5 bars with frequencies: 20, x, 35, 45, 30. If the mean is 32, find x.", "options": {"A": "25", "B": "30", "C": "35", "D": "40"}, "correct_answer": "B"},
    {"id": 55, "difficulty": "medium", "question": "In a double bar graph comparing two stores: Store A: Q1=500, Q2=600, Q3=700, Q4=800; Store B: Q1=450, Q2=550, Q3=650, Q4=750. What is the difference in annual sales?", "options": {"A": "100", "B": "200", "C": "300", "D": "400"}, "correct_answer": "D"},
    {"id": 56, "difficulty": "medium", "question": "A bar graph shows distances to cities: A=150 km, B=225 km, C=300 km, D=375 km. What is the average distance?", "options": {"A": "250 km", "B": "262.5 km", "C": "275 km", "D": "287.5 km"}, "correct_answer": "B"},
    {"id": 57, "difficulty": "medium", "question": "In a bar graph with scale 1 unit = 8 students, if the total students is 400, what is the maximum value on the scale?", "options": {"A": "40", "B": "45", "C": "50", "D": "55"}, "correct_answer": "C"},
    {"id": 58, "difficulty": "medium", "question": "A bar graph shows production: Jan=400, Feb=450, Mar=500, Apr=550, May=600. What is the percentage increase from Jan to May?", "options": {"A": "40%", "B": "45%", "C": "50%", "D": "55%"}, "correct_answer": "C"},
    {"id": 59, "difficulty": "medium", "question": "In a comparative bar graph for two classes: Class 7A: Pass=35, Fail=5; Class 7B: Pass=40, Fail=10. What is the pass percentage of Class 7A?", "options": {"A": "85%", "B": "87.5%", "C": "90%", "D": "92.5%"}, "correct_answer": "B"},
    {"id": 60, "difficulty": "medium", "question": "A bar graph has values: 72, 84, 96, 108, 120. If scale interval is 12, what is the height of the 96 bar in units?", "options": {"A": "7", "B": "8", "C": "9", "D": "10"}, "correct_answer": "B"},
    {"id": 61, "difficulty": "medium", "question": "In a grouped bar graph for three products across two years, if Product X increased from 100 to 120, Product Y from 150 to 180, and Product Z from 200 to 240, what is the overall percentage increase?", "options": {"A": "18%", "B": "20%", "C": "22%", "D": "24%"}, "correct_answer": "B"},
    {"id": 62, "difficulty": "medium", "question": "A bar graph shows rainfall in cm: City A: 120, City B: 150, City C: 180, City D: 210. What is the ratio of City A to City D rainfall?", "options": {"A": "2:3", "B": "3:4", "C": "4:5", "D": "4:7"}, "correct_answer": "D"},
    {"id": 63, "difficulty": "medium", "question": "In a horizontal bar graph with scale 2 cm = 50 books, if the longest bar is 12 cm, how many books does it represent?", "options": {"A": "250", "B": "275", "C": "300", "D": "325"}, "correct_answer": "C"},
    {"id": 64, "difficulty": "medium", "question": "A bar graph has 6 categories with frequencies: 25, 40, 55, 70, 85, 100. What is the median value?", "options": {"A": "55", "B": "60", "C": "62.5", "D": "65"}, "correct_answer": "C"},
    {"id": 65, "difficulty": "medium", "question": "In a double bar graph for temperature comparison: Day 1: Max=30°, Min=20°; Day 2: Max=32°, Min=22°; Day 3: Max=28°, Min=18°. What is the average daily range?", "options": {"A": "8°", "B": "9°", "C": "10°", "D": "11°"}, "correct_answer": "C"},
    {"id": 66, "difficulty": "medium", "question": "A bar graph shows test scores: 0-25=10, 26-50=20, 51-75=30, 76-100=40. How many students scored above 50?", "options": {"A": "50", "B": "60", "C": "70", "D": "80"}, "correct_answer": "C"},
    {"id": 67, "difficulty": "medium", "question": "In a bar graph with scale 1 unit = ₹500, if a bar reaches 7.5 units, what is the value?", "options": {"A": "₹3500", "B": "₹3750", "C": "₹4000", "D": "₹4250"}, "correct_answer": "B"},
    {"id": 68, "difficulty": "medium", "question": "A bar graph shows population growth: 2010=5000, 2015=6000, 2020=7200, 2025=8640. What is the growth rate per 5 years?", "options": {"A": "15%", "B": "18%", "C": "20%", "D": "22%"}, "correct_answer": "C"},
    {"id": 69, "difficulty": "medium", "question": "In a comparative bar graph for two schools: School X: Sports=60, Arts=40, Music=50; School Y: Sports=50, Arts=60, Music=40. Which activity has the highest total?", "options": {"A": "Sports", "B": "Arts", "C": "Music", "D": "Sports and Arts tie"}, "correct_answer": "A"},
    {"id": 70, "difficulty": "medium", "question": "A bar graph has values: 35, 50, 65, 80, 95. If scale starts at 0 with interval 15, how many grid lines are needed?", "options": {"A": "5", "B": "6", "C": "7", "D": "8"}, "correct_answer": "C"},
    {"id": 71, "difficulty": "medium", "question": "In a percentage bar graph, if Category A is 40% and total is 750, what is Category A's value?", "options": {"A": "250", "B": "300", "C": "350", "D": "400"}, "correct_answer": "B"},
    {"id": 72, "difficulty": "medium", "question": "A bar graph shows monthly expenses: Food=₹4000, Rent=₹8000, Travel=₹2000, Others=₹6000. What percentage is spent on Rent?", "options": {"A": "35%", "B": "38%", "C": "40%", "D": "42%"}, "correct_answer": "C"},
    {"id": 73, "difficulty": "medium", "question": "In a horizontal bar graph with scale 1 cm = 20 units, if the shortest bar is 3.5 cm and longest is 8.5 cm, what is the range in units?", "options": {"A": "80", "B": "90", "C": "100", "D": "110"}, "correct_answer": "C"},
    {"id": 74, "difficulty": "medium", "question": "A bar graph has frequencies: 18, 27, 36, 45, 54. What is the common difference?", "options": {"A": "7", "B": "8", "C": "9", "D": "10"}, "correct_answer": "C"},
    {"id": 75, "difficulty": "medium", "question": "In a double bar graph for two factories: Factory A: Jan=100, Feb=120, Mar=140; Factory B: Jan=80, Feb=100, Mar=130. What is the total production in March?", "options": {"A": "250", "B": "260", "C": "270", "D": "280"}, "correct_answer": "C"},
    {"id": 76, "difficulty": "medium", "question": "A bar graph shows distances run: Day1=5 km, Day2=6 km, Day3=7 km, Day4=8 km, Day5=9 km. What is the average per day?", "options": {"A": "6 km", "B": "6.5 km", "C": "7 km", "D": "7.5 km"}, "correct_answer": "C"},
    {"id": 77, "difficulty": "medium", "question": "In a bar graph with scale 2 units = 100 people, if the maximum value is 850 people, what should be the maximum on scale?", "options": {"A": "16", "B": "17", "C": "18", "D": "19"}, "correct_answer": "C"},
    {"id": 78, "difficulty": "medium", "question": "A bar graph has categories: A=120, B=150, C=180, D=210, E=240. What is the mean deviation from mean?", "options": {"A": "36", "B": "40", "C": "44", "D": "48"}, "correct_answer": "A"},
    {"id": 79, "difficulty": "medium", "question": "In a comparative bar graph for two subjects: Math: Test1=70, Test2=75, Test3=80; Science: Test1=65, Test2=70, Test3=75. What is the difference in total marks?", "options": {"A": "10", "B": "12", "C": "15", "D": "18"}, "correct_answer": "C"},
    {"id": 80, "difficulty": "medium", "question": "A bar graph shows ages: 0-10=100, 11-20=150, 21-30=200, 31-40=180, 41-50=120. What is the total population?", "options": {"A": "700", "B": "720", "C": "740", "D": "750"}, "correct_answer": "D"},
    
    {"id": 81, "difficulty": "hard", "question": "A compound bar graph shows three products over four quarters. Product A: Q1=120, Q2=140, Q3=160, Q4=180; Product B: Q1=100, Q2=120, Q3=140, Q4=160; Product C: Q1=80, Q2=100, Q3=120, Q4=140. Find the quarter with maximum total sales and the value.", "options": {"A": "Q4, 480", "B": "Q4, 500", "C": "Q3, 460", "D": "Q4, 520"}, "correct_answer": "A"},
    {"id": 82, "difficulty": "hard", "question": "In a percentage component bar graph, if total sales are ₹12,00,000 and divisions are: North=30%, South=25%, East=20%, West=25%, and each division has three products with ratios 2:3:5, find the sales of the highest product in North division.", "options": {"A": "₹1,08,000", "B": "₹1,20,000", "C": "₹1,44,000", "D": "₹1,80,000"}, "correct_answer": "D"},
    {"id": 83, "difficulty": "hard", "question": "A histogram has class intervals: 0-10, 10-20, 20-30, 30-40, 40-50 with frequencies: 5, 12, 18, 15, 10. If the graph is converted to a bar graph with same class intervals, what would be the height of the 20-30 bar if scale is 1 cm = 2 units frequency?", "options": {"A": "7 cm", "B": "8 cm", "C": "9 cm", "D": "10 cm"}, "correct_answer": "C"},
    {"id": 84, "difficulty": "hard", "question": "In a double bar graph comparing two companies' monthly profits (in ₹1000): Company A: Jan=50, Feb=55, Mar=60, Apr=65, May=70, Jun=75; Company B: Jan=45, Feb=50, Mar=58, Apr=65, May=73, Jun=80. Find the month when Company B's profit exceeded Company A's profit.", "options": {"A": "April", "B": "May", "C": "June", "D": "Never"}, "correct_answer": "C"},
    {"id": 85, "difficulty": "hard", "question": "A bar graph shows cumulative frequency of marks: Less than 10=5, less than 20=15, less than 30=30, less than 40=45, less than 50=55. Find the frequency of class 20-30.", "options": {"A": "10", "B": "12", "C": "15", "D": "18"}, "correct_answer": "C"},
    {"id": 86, "difficulty": "hard", "question": "In a subdivided bar graph, total expenditure is ₹60,000 divided into: Rent=40%, Food=30%, Education=20%, Others=10%. Education is further divided into: Books=50%, Fees=30%, Stationery=20%. Find the amount spent on Books.", "options": {"A": "₹4,000", "B": "₹5,000", "C": "₹6,000", "D": "₹7,000"}, "correct_answer": "C"},
    {"id": 87, "difficulty": "hard", "question": "A bar graph has misleading scale starting at 100 instead of 0. Actual values: A=120, B=140, C=160, D=180, E=200. With scale starting at 100 and interval 20, what would be the apparent height of bar E in cm if 1 unit=0.5 cm?", "options": {"A": "2 cm", "B": "2.5 cm", "C": "3 cm", "D": "3.5 cm"}, "correct_answer": "B"},
    {"id": 88, "difficulty": "hard", "question": "In a comparative bar graph for three years: 2019: Product X=400, Y=300, Z=500; 2020: X=450, Y=350, Z=550; 2021: X=500, Y=400, Z=600. Find the compound annual growth rate for total sales over three years.", "options": {"A": "10%", "B": "11%", "C": "12%", "D": "13%"}, "correct_answer": "B"},
    {"id": 89, "difficulty": "hard", "question": "A bar graph shows frequency distribution with mean=45 and mode=50. If there are 5 bars with frequencies in arithmetic progression, find the smallest frequency if total frequency is 225.", "options": {"A": "35", "B": "37", "C": "39", "D": "41"}, "correct_answer": "C"},
    {"id": 90, "difficulty": "hard", "question": "In a percentage bar graph of 800 students' preferences: Sports=30%, Music=25%, Drama=20%, Art=15%, Debate=10%. Each activity has boys and girls in ratio: Sports=3:2, Music=2:3, Drama=1:1, Art=1:2, Debate=3:1. Find number of girls in Music.", "options": {"A": "80", "B": "90", "C": "100", "D": "120"}, "correct_answer": "D"},
    {"id": 91, "difficulty": "hard", "question": "A bar graph shows population in millions: 2000=50, 2005=55, 2010=60.5, 2015=66.55, 2020=73.205. What is the annual growth rate?", "options": {"A": "1.8%", "B": "2%", "C": "2.2%", "D": "2.5%"}, "correct_answer": "B"},
    {"id": 92, "difficulty": "hard", "question": "In a double bar graph comparing two investments: Investment A grows: Year1=1000, Year2=1100, Year3=1210, Year4=1331; Investment B grows: Year1=1000, Year2=1150, Year3=1322.5, Year4=1520.875. Find the year when Investment B first exceeds Investment A by more than ₹100.", "options": {"A": "Year 2", "B": "Year 3", "C": "Year 4", "D": "Never"}, "correct_answer": "C"},
    {"id": 93, "difficulty": "hard", "question": "A bar graph has 7 categories with frequencies in geometric progression. First frequency=16, last frequency=256. Find the total frequency.", "options": {"A": "496", "B": "504", "C": "512", "D": "528"}, "correct_answer": "B"},
    {"id": 94, "difficulty": "hard", "question": "In a component bar graph showing expenses: Fixed=40% of ₹80,000, Variable=60%. Fixed expenses: Rent=50%, Salary=30%, Maintenance=20%. Variable expenses: Raw material=60%, Marketing=25%, Transport=15%. Find the amount spent on Marketing.", "options": {"A": "₹9,600", "B": "₹10,800", "C": "₹12,000", "D": "₹14,400"}, "correct_answer": "C"},
    {"id": 95, "difficulty": "hard", "question": "A bar graph shows daily temperatures for a week: Mon=28°, Tue=30°, Wed=32°, Thu=31°, Fri=29°, Sat=27°, Sun=26°. Find the standard deviation (approx).", "options": {"A": "1.8", "B": "2.0", "C": "2.2", "D": "2.4"}, "correct_answer": "B"},
    {"id": 96, "difficulty": "hard", "question": "In a comparative bar graph for three products across four regions: Product X: R1=100, R2=120, R3=140, R4=160; Product Y: R1=80, R2=100, R3=120, R4=140; Product Z: R1=60, R2=80, R3=100, R4=120. Find the region with maximum total sales and its percentage of grand total.", "options": {"A": "R4, 35%", "B": "R4, 37.5%", "C": "R3, 33.3%", "D": "R4, 40%"}, "correct_answer": "B"},
    {"id": 97, "difficulty": "hard", "question": "A bar graph shows exam scores: 0-20=10%, 21-40=15%, 41-60=25%, 61-80=35%, 81-100=15%. If 40 students scored above 80, find total number of students.", "options": {"A": "200", "B": "250", "C": "300", "D": "350"}, "correct_answer": "B"},
    {"id": 98, "difficulty": "hard", "question": "In a misleading bar graph, scale starts at 50. Actual values: A=60, B=75, C=90, D=105. With scale 50-110, interval 10, what is the apparent ratio of bar D to bar A?", "options": {"A": "1.5:1", "B": "1.75:1", "C": "1.83:1", "D": "2:1"}, "correct_answer": "C"},
    {"id": 99, "difficulty": "hard", "question": "A bar graph shows monthly savings: Jan=₹2000, Feb=₹2200, Mar=₹2420, Apr=₹2662, May=₹2928.2. What is the monthly growth rate?", "options": {"A": "8%", "B": "9%", "C": "10%", "D": "11%"}, "correct_answer": "C"},
    {"id": 100, "difficulty": "hard", "question": "In a compound bar graph, three departments have quarterly sales: Dept A: Q1=120, Q2=144, Q3=172.8, Q4=207.36; Dept B: Q1=100, Q2=120, Q3=144, Q4=172.8; Dept C: Q1=80, Q2=96, Q3=115.2, Q4=138.24. Find the quarter when total sales first exceed ₹500.", "options": {"A": "Q3", "B": "Q4", "C": "Q3 and Q4", "D": "Never in given data"}, "correct_answer": "B"}
 ,
 {"id":101,"difficulty":"easy","question":"Which bar graph is best to compare quantities across categories?","options":{"A":"Histogram","B":"Line graph","C":"Bar graph","D":"Pie chart"},"correct_answer":"C"},
    {"id":102,"difficulty":"easy","question":"In a vertical bar graph, bars are drawn along which axis?","options":{"A":"x-axis","B":"y-axis","C":"Diagonal axis","D":"Both axes"},"correct_answer":"B"},
    {"id":103,"difficulty":"easy","question":"What does equal width of bars indicate?","options":{"A":"Same frequency","B":"Uniform representation","C":"Same category","D":"Same color"},"correct_answer":"B"},
    {"id":104,"difficulty":"easy","question":"Which information is NOT mandatory on a bar graph?","options":{"A":"Scale","B":"Title","C":"Legend","D":"Axes labels"},"correct_answer":"C"},
    {"id":105,"difficulty":"easy","question":"If scale is 1 unit = 25 items, what does 4 units represent?","options":{"A":"50","B":"75","C":"100","D":"125"},"correct_answer":"C"},
    {"id":106,"difficulty":"easy","question":"Bars in a bar graph usually represent:","options":{"A":"Intervals","B":"Continuous data","C":"Categories","D":"Functions"},"correct_answer":"C"},
    {"id":107,"difficulty":"easy","question":"Which bar graph compares two related data sets?","options":{"A":"Simple bar graph","B":"Double bar graph","C":"Histogram","D":"Frequency polygon"},"correct_answer":"B"},
    {"id":108,"difficulty":"easy","question":"What does the tallest bar indicate?","options":{"A":"Lowest value","B":"Average value","C":"Highest value","D":"Median"},"correct_answer":"C"},
    {"id":109,"difficulty":"easy","question":"In a horizontal bar graph, bars extend along:","options":{"A":"x-axis","B":"y-axis","C":"Both","D":"None"},"correct_answer":"A"},
    {"id":110,"difficulty":"easy","question":"What is the main advantage of bar graphs?","options":{"A":"Exact trends","B":"Easy comparison","C":"Compact data","D":"Scientific accuracy"},"correct_answer":"B"},
    {"id":111,"difficulty":"easy","question":"Which graph is NOT suitable for discrete data?","options":{"A":"Bar graph","B":"Double bar graph","C":"Histogram","D":"Pictograph"},"correct_answer":"C"},
    {"id":112,"difficulty":"easy","question":"What should be consistent for all bars?","options":{"A":"Height","B":"Width","C":"Color","D":"Label"},"correct_answer":"B"},
    {"id":113,"difficulty":"easy","question":"A bar graph without scale is:","options":{"A":"Misleading","B":"Incomplete","C":"Invalid","D":"Useless"},"correct_answer":"B"},
    {"id":114,"difficulty":"easy","question":"Which graph uses adjacent bars?","options":{"A":"Bar graph","B":"Double bar graph","C":"Histogram","D":"Pictograph"},"correct_answer":"C"},
    {"id":115,"difficulty":"easy","question":"What does a legend explain?","options":{"A":"Scale","B":"Title","C":"Color coding","D":"Axis labels"},"correct_answer":"C"},
    {"id":116,"difficulty":"easy","question":"If categories increase, what should be done?","options":{"A":"Reduce bars","B":"Increase bar width","C":"Maintain spacing","D":"Change scale"},"correct_answer":"C"},
    {"id":117,"difficulty":"easy","question":"Bar graphs mainly show:","options":{"A":"Trends","B":"Comparisons","C":"Correlations","D":"Predictions"},"correct_answer":"B"},
    {"id":118,"difficulty":"easy","question":"What is plotted on y-axis usually?","options":{"A":"Categories","B":"Frequencies","C":"Labels","D":"Colors"},"correct_answer":"B"},
    {"id":119,"difficulty":"easy","question":"Which unit choice makes graph clearer?","options":{"A":"Very small","B":"Very large","C":"Suitable interval","D":"Random"},"correct_answer":"C"},
    {"id":120,"difficulty":"easy","question":"Which error makes bar graph misleading?","options":{"A":"Uniform bars","B":"Equal spacing","C":"Broken scale","D":"Clear labels"},"correct_answer":"C"},

    {"id":121,"difficulty":"medium","question":"A bar graph shows values 30, 45, 60, 75. What is the mean?","options":{"A":"50","B":"52.5","C":"55","D":"57.5"},"correct_answer":"B"},
    {"id":122,"difficulty":"medium","question":"If scale is 1 cm = 40 units, what is height of 200 units?","options":{"A":"4 cm","B":"5 cm","C":"6 cm","D":"8 cm"},"correct_answer":"B"},
    {"id":123,"difficulty":"medium","question":"In a double bar graph, total of A=120 and B=180. What is ratio A:B?","options":{"A":"2:3","B":"3:2","C":"4:5","D":"5:4"},"correct_answer":"A"},
    {"id":124,"difficulty":"medium","question":"A bar graph shows weekly sales: 200, 240, 280, 320. What is percentage increase from first to last?","options":{"A":"50%","B":"60%","C":"70%","D":"80%"},"correct_answer":"D"},
    {"id":125,"difficulty":"medium","question":"Which choice improves readability of a crowded bar graph?","options":{"A":"Remove scale","B":"Increase spacing","C":"Use darker colors","D":"Reduce categories"},"correct_answer":"B"},
    {"id":126,"difficulty":"medium","question":"If max value is 360, which scale is best?","options":{"A":"10","B":"20","C":"30","D":"40"},"correct_answer":"C"},
    {"id":127,"difficulty":"medium","question":"A bar graph shows values 18, 24, 30, 36. What is the range?","options":{"A":"12","B":"14","C":"16","D":"18"},"correct_answer":"A"},
    {"id":128,"difficulty":"medium","question":"In grouped bar graph, grouping represents:","options":{"A":"Time","B":"Categories","C":"Comparison sets","D":"Scale"},"correct_answer":"C"},
    {"id":129,"difficulty":"medium","question":"If one bar is half the height of another, their values are in ratio:","options":{"A":"1:3","B":"1:2","C":"2:3","D":"3:4"},"correct_answer":"B"},
    {"id":130,"difficulty":"medium","question":"Which situation suits a percentage bar graph?","options":{"A":"Raw counts","B":"Totals only","C":"Part-to-whole","D":"Time series"},"correct_answer":"C"},

    {"id":131,"difficulty":"hard","question":"A double bar graph shows production (units): A=120,160,200; B=100,150,210 for three months. Which month has smallest difference?","options":{"A":"Month 1","B":"Month 2","C":"Month 3","D":"All equal"},"correct_answer":"A"},
    {"id":132,"difficulty":"hard","question":"If a bar graph scale starts at 50 and ends at 250 with interval 25, how many tick marks are needed?","options":{"A":"7","B":"8","C":"9","D":"10"},"correct_answer":"C"},
    {"id":133,"difficulty":"hard","question":"A bar graph shows five values with mean 64 and total 320. How many bars are there?","options":{"A":"4","B":"5","C":"6","D":"7"},"correct_answer":"B"},
    {"id":134,"difficulty":"hard","question":"In a grouped bar graph, totals for groups are 180 and 220. What is percentage difference?","options":{"A":"18%","B":"20%","C":"22%","D":"25%"},"correct_answer":"B"},
    {"id":135,"difficulty":"hard","question":"If bar heights are proportional to values, doubling scale will:","options":{"A":"Double values","B":"Half heights","C":"Double heights","D":"No change"},"correct_answer":"B"},
    {"id":136,"difficulty":"hard","question":"A bar graph uses 1 cm = 30 units. If page allows 12 cm, max value is:","options":{"A":"300","B":"330","C":"360","D":"390"},"correct_answer":"C"},
    {"id":137,"difficulty":"hard","question":"Which change makes a graph misleading without changing data?","options":{"A":"Reordering bars","B":"Changing colors","C":"Truncating axis","D":"Adding legend"},"correct_answer":"C"},
    {"id":138,"difficulty":"hard","question":"A comparative bar graph shows Class A: 45 pass, 5 fail; Class B: 40 pass, 10 fail. Which class has higher pass rate?","options":{"A":"Class A","B":"Class B","C":"Equal","D":"Cannot say"},"correct_answer":"A"},
    {"id":139,"difficulty":"hard","question":"If total frequency is 600 and a bar shows 15%, value is:","options":{"A":"75","B":"90","C":"100","D":"120"},"correct_answer":"B"},
    {"id":140,"difficulty":"hard","question":"A bar graph values form AP with first 20, last 80 and 7 bars. Find the middle value.","options":{"A":"45","B":"50","C":"55","D":"60"},"correct_answer":"B"},
    {"id":141,"difficulty":"hard","question":"In a double bar graph, if one set increases uniformly and other decreases uniformly, intersection indicates:","options":{"A":"Maximum","B":"Minimum","C":"Equality point","D":"Average"},"correct_answer":"C"},
    {"id":142,"difficulty":"hard","question":"Which bar graph best shows comparison across years and categories?","options":{"A":"Simple","B":"Double","C":"Stacked","D":"Histogram"},"correct_answer":"C"},
    {"id":143,"difficulty":"hard","question":"A bar graph has values 50, 60, x, 80, 90 with mean 70. Find x.","options":{"A":"60","B":"65","C":"70","D":"75"},"correct_answer":"C"},
    {"id":144,"difficulty":"hard","question":"If bar graph shows cumulative totals, the correct type is:","options":{"A":"Simple","B":"Stacked","C":"Histogram","D":"Line"},"correct_answer":"B"},
    {"id":145,"difficulty":"hard","question":"A bar graph’s clarity mainly depends on:","options":{"A":"Colors","B":"Scale choice","C":"Paper size","D":"Font"},"correct_answer":"B"},
    {"id":146,"difficulty":"hard","question":"If two bars differ by 30 units and scale is 1 cm = 15 units, difference in height is:","options":{"A":"1 cm","B":"1.5 cm","C":"2 cm","D":"3 cm"},"correct_answer":"C"},
    {"id":147,"difficulty":"hard","question":"Which scenario is unsuitable for bar graphs?","options":{"A":"Category counts","B":"Comparisons","C":"Continuous variation","D":"Discrete data"},"correct_answer":"C"},
    {"id":148,"difficulty":"hard","question":"A bar graph with unequal bar widths mainly misleads about:","options":{"A":"Values","B":"Scale","C":"Frequency","D":"Visual area"},"correct_answer":"D"},
    {"id":149,"difficulty":"hard","question":"If maximum bar is reduced visually by scale break, perception becomes:","options":{"A":"Accurate","B":"Exaggerated","C":"Understated","D":"Neutral"},"correct_answer":"C"},
    {"id":150,"difficulty":"hard","question":"Which check ensures correctness of a bar graph?","options":{"A":"Visual appeal","B":"Recalculating values","C":"Color balance","D":"Spacing"},"correct_answer":"B"}

 ]
}