{
  "title": "Pie Charts / Circle Graphs Intro (Data Handling) - Grade 8 CBSE",
  "total_questions": 100,
  "questions": [
    {"id": 1, "difficulty": "easy", "question": "What is a pie chart?", "options": {"A": "A chart that uses bars", "B": "A circular graph divided into sectors", "C": "A graph with lines", "D": "A table of numbers"}, "correct_answer": "B"},
    {"id": 2, "difficulty": "easy", "question": "What does each sector of a pie chart represent?", "options": {"A": "A different color", "B": "A category or part of a whole", "C": "Time periods", "D": "The total sum"}, "correct_answer": "B"},
    {"id": 3, "difficulty": "easy", "question": "What is the total angle at the center of a circle?", "options": {"A": "90°", "B": "180°", "C": "270°", "D": "360°"}, "correct_answer": "D"},
    {"id": 4, "difficulty": "easy", "question": "In a pie chart, if a sector represents 25% of data, its central angle is:", "options": {"A": "25°", "B": "60°", "C": "90°", "D": "120°"}, "correct_answer": "C"},
    {"id": 5, "difficulty": "easy", "question": "Pie charts are useful for showing:", "options": {"A": "Changes over time", "B": "Comparisons between categories as parts of a whole", "C": "Exact numerical values", "D": "Frequency distributions"}, "correct_answer": "B"},
    {"id": 6, "difficulty": "easy", "question": "If a sector has a central angle of 72°, what percentage does it represent?", "options": {"A": "10%", "B": "20%", "C": "25%", "D": "30%"}, "correct_answer": "B"},
    {"id": 7, "difficulty": "easy", "question": "What is the central angle for a sector representing 50% of data?", "options": {"A": "90°", "B": "120°", "C": "180°", "D": "360°"}, "correct_answer": "C"},
    {"id": 8, "difficulty": "easy", "question": "Which chart is best for showing proportions?", "options": {"A": "Bar graph", "B": "Line graph", "C": "Pie chart", "D": "Histogram"}, "correct_answer": "C"},
    {"id": 9, "difficulty": "easy", "question": "If total data = 120 and a category has value 30, its sector angle = ?", "options": {"A": "30°", "B": "60°", "C": "90°", "D": "120°"}, "correct_answer": "C"},
    {"id": 10, "difficulty": "easy", "question": "The formula to find angle = (Value/Total) × ___", "options": {"A": "90", "B": "180", "C": "270", "D": "360"}, "correct_answer": "D"},
    {"id": 11, "difficulty": "easy", "question": "If a pie chart has no title, what is missing?", "options": {"A": "Sectors", "B": "Information about data", "C": "Colors", "D": "Angles"}, "correct_answer": "B"},
    {"id": 12, "difficulty": "easy", "question": "A pie chart is also called a:", "options": {"A": "Circle graph", "B": "Bar diagram", "C": "Line plot", "D": "Pictograph"}, "correct_answer": "A"},
    {"id": 13, "difficulty": "easy", "question": "For a category with 0 frequency, its sector angle is:", "options": {"A": "0°", "B": "90°", "C": "180°", "D": "360°"}, "correct_answer": "A"},
    {"id": 14, "difficulty": "easy", "question": "If a pie chart shows favourite fruits of 40 students and 10 like apples, angle for apples?", "options": {"A": "45°", "B": "60°", "C": "90°", "D": "120°"}, "correct_answer": "C"},
    {"id": 15, "difficulty": "easy", "question": "Which is NOT a part of pie chart?", "options": {"A": "Sectors", "B": "Radius", "C": "Axes with scale", "D": "Title"}, "correct_answer": "C"},
    {"id": 16, "difficulty": "easy", "question": "Pie charts are not suitable for:", "options": {"A": "Showing percentages", "B": "Comparing many categories (more than 6)", "C": "Showing parts of whole", "D": "Categorical data"}, "correct_answer": "B"},
    {"id": 17, "difficulty": "easy", "question": "The sum of all sector angles in a pie chart is:", "options": {"A": "90°", "B": "180°", "C": "270°", "D": "360°"}, "correct_answer": "D"},
    {"id": 18, "difficulty": "easy", "question": "If total = 60, value = 15, angle = ?", "options": {"A": "45°", "B": "60°", "C": "90°", "D": "120°"}, "correct_answer": "C"},
    {"id": 19, "difficulty": "easy", "question": "A sector covering half the circle represents:", "options": {"A": "25%", "B": "50%", "C": "75%", "D": "100%"}, "correct_answer": "B"},
    {"id": 20, "difficulty": "easy", "question": "True or False: In a pie chart, sectors can overlap.", "options": {"A": "True", "B": "False", "C": "Sometimes", "D": "Only in 3D pie charts"}, "correct_answer": "B"},

    {"id": 21, "difficulty": "medium", "question": "In a pie chart representing 240 people, a sector of 60° represents how many people?", "options": {"A": "20", "B": "30", "C": "40", "D": "60"}, "correct_answer": "C"},
    {"id": 22, "difficulty": "medium", "question": "A pie chart shows expenses: Rent (90°), Food (120°), Savings (x°), Others (60°). Find x.", "options": {"A": "60°", "B": "90°", "C": "120°", "D": "150°"}, "correct_answer": "B"},
    {"id": 23, "difficulty": "medium", "question": "If a category has 30% share, its sector angle is:", "options": {"A": "72°", "B": "90°", "C": "108°", "D": "120°"}, "correct_answer": "C"},
    {"id": 24, "difficulty": "medium", "question": "A survey of 200 students: 80 like Science, 70 Math, 50 English. What is angle for Science?", "options": {"A": "80°", "B": "120°", "C": "144°", "D": "160°"}, "correct_answer": "C"},
    {"id": 25, "difficulty": "medium", "question": "In a pie chart, two sectors have angles 45° and 135°. Their ratio in data is:", "options": {"A": "1:2", "B": "1:3", "C": "1:4", "D": "3:1"}, "correct_answer": "B"},
    {"id": 26, "difficulty": "medium", "question": "If total frequency is 150 and angle for a sector is 72°, its frequency is:", "options": {"A": "20", "B": "30", "C": "40", "D": "50"}, "correct_answer": "B"},
    {"id": 27, "difficulty": "medium", "question": "Which is better for comparing exact values: pie chart or bar graph?", "options": {"A": "Pie chart", "B": "Bar graph", "C": "Both equally", "D": "Neither"}, "correct_answer": "B"},
    {"id": 28, "difficulty": "medium", "question": "A pie chart has sectors: A=108°, B=72°, C=90°, D=90°. What percentage is B?", "options": {"A": "15%", "B": "20%", "C": "25%", "D": "30%"}, "correct_answer": "B"},
    {"id": 29, "difficulty": "medium", "question": "If a pie chart shows monthly budget: Food=30%, Rent=25%, Transport=20%, Savings=25%. Largest sector angle?", "options": {"A": "90°", "B": "108°", "C": "120°", "D": "144°"}, "correct_answer": "B"},
    {"id": 30, "difficulty": "medium", "question": "A company has 4 departments with employees 30, 50, 70, 50. Angle for department with 70 employees?", "options": {"A": "70°", "B": "105°", "C": "126°", "D": "140°"}, "correct_answer": "C"},
    {"id": 31, "difficulty": "medium", "question": "In a pie chart, if one sector is twice another sector in data value, ratio of their angles?", "options": {"A": "1:1", "B": "1:2", "C": "2:1", "D": "3:1"}, "correct_answer": "C"},
    {"id": 32, "difficulty": "medium", "question": "From a pie chart, if angle of sector A is 60° and total is 300, value of A?", "options": {"A": "30", "B": "40", "C": "50", "D": "60"}, "correct_answer": "C"},
    {"id": 33, "difficulty": "medium", "question": "A pie chart shows modes of transport: Walk=72°, Cycle=108°, Bus=90°, Car=90°. If 60 people cycle, total?", "options": {"A": "180", "B": "200", "C": "240", "D": "300"}, "correct_answer": "B"},
    {"id": 34, "difficulty": "medium", "question": "What is the angle for a sector representing 1/8 of total?", "options": {"A": "30°", "B": "45°", "C": "60°", "D": "75°"}, "correct_answer": "B"},
    {"id": 35, "difficulty": "medium", "question": "A student spends 4 hours studying, 2 hours playing, 6 hours sleeping. Angle for sleeping?", "options": {"A": "120°", "B": "150°", "C": "180°", "D": "210°"}, "correct_answer": "C"},
    {"id": 36, "difficulty": "medium", "question": "In a pie chart, if sector angle is 144°, percentage = ?", "options": {"A": "30%", "B": "36%", "C": "40%", "D": "48%"}, "correct_answer": "C"},
    {"id": 37, "difficulty": "medium", "question": "If a pie chart has 5 equal sectors, each angle = ?", "options": {"A": "36°", "B": "60°", "C": "72°", "D": "90°"}, "correct_answer": "C"},
    {"id": 38, "difficulty": "medium", "question": "A pie chart is drawn for data: 20, 30, 40, 10. Sum of two largest sectors' angles?", "options": {"A": "180°", "B": "210°", "C": "240°", "D": "270°"}, "correct_answer": "D"},
    {"id": 39, "difficulty": "medium", "question": "Which data is suitable for pie chart: (i) Sales over months (ii) Market share of brands", "options": {"A": "(i) only", "B": "(ii) only", "C": "Both", "D": "None"}, "correct_answer": "B"},
    {"id": 40, "difficulty": "medium", "question": "A pie chart's sector for 'Others' is 36°. If total = 500, frequency of 'Others'?", "options": {"A": "30", "B": "40", "C": "50", "D": "60"}, "correct_answer": "C"},
    {"id": 41, "difficulty": "medium", "question": "If 25% of data is removed, the pie chart for remaining data:", "options": {"A": "Has smaller circle", "B": "Has same total angle", "C": "Has total angle 270°", "D": "Cannot be drawn"}, "correct_answer": "B"},
    {"id": 42, "difficulty": "medium", "question": "A pie chart shows votes for 3 parties: A=120°, B=150°, C=90°. Which party got most votes?", "options": {"A": "A", "B": "B", "C": "C", "D": "Cannot say without total"}, "correct_answer": "B"},
    {"id": 43, "difficulty": "medium", "question": "From a pie chart with total 360°, if sector value is 40 and angle 80°, total data = ?", "options": {"A": "120", "B": "150", "C": "180", "D": "200"}, "correct_answer": "C"},
    {"id": 44, "difficulty": "medium", "question": "If a pie chart sector is 60° and represents 15 items, total items?", "options": {"A": "60", "B": "75", "C": "90", "D": "120"}, "correct_answer": "C"},
    {"id": 45, "difficulty": "medium", "question": "What percentage is a sector of 54°?", "options": {"A": "12%", "B": "15%", "C": "18%", "D": "20%"}, "correct_answer": "B"},
    {"id": 46, "difficulty": "medium", "question": "A pie chart has no sector for a category with frequency 5 out of 100. What's wrong?", "options": {"A": "It should have a tiny sector", "B": "Data is wrong", "C": "Pie chart cannot show small values", "D": "Angle = 18°, so it should be shown"}, "correct_answer": "D"},
    {"id": 47, "difficulty": "medium", "question": "In a pie chart, if all frequencies are doubled, the angles:", "options": {"A": "Double", "B": "Halve", "C": "Remain same", "D": "Cannot determine"}, "correct_answer": "C"},
    {"id": 48, "difficulty": "medium", "question": "A survey of 120 people: 30 prefer Tea, 45 Coffee, 25 Milk, 20 Juice. Angle for Juice?", "options": {"A": "40°", "B": "50°", "C": "60°", "D": "75°"}, "correct_answer": "C"},
    {"id": 49, "difficulty": "medium", "question": "If a pie chart sector is 3 times another in angle, ratio in data?", "options": {"A": "1:3", "B": "3:1", "C": "1:9", "D": "9:1"}, "correct_answer": "B"},
    {"id": 50, "difficulty": "medium", "question": "Which graph can replace a pie chart to show proportions?", "options": {"A": "Bar graph", "B": "Line graph", "C": "Histogram", "D": "Percentage bar graph"}, "correct_answer": "D"},
    {"id": 51, "difficulty": "medium", "question": "A pie chart shows time usage: Sleep=30%, School=25%, Homework=20%, Play=25%. Angle for Homework?", "options": {"A": "54°", "B": "72°", "C": "90°", "D": "108°"}, "correct_answer": "B"},
    {"id": 52, "difficulty": "medium", "question": "For data 12, 18, 24, 6, total = 60. Largest sector angle?", "options": {"A": "90°", "B": "120°", "C": "144°", "D": "180°"}, "correct_answer": "C"},
    {"id": 53, "difficulty": "medium", "question": "If total frequency = F and angle = θ, value = ?", "options": {"A": "(θ/360)×F", "B": "(θ/180)×F", "C": "(θ/90)×F", "D": "θ×F"}, "correct_answer": "A"},
    {"id": 54, "difficulty": "medium", "question": "A pie chart has 20% sector. Its angle?", "options": {"A": "36°", "B": "60°", "C": "72°", "D": "90°"}, "correct_answer": "C"},
    {"id": 55, "difficulty": "medium", "question": "A sector angle 40° in a pie chart of total 720 items represents:", "options": {"A": "60 items", "B": "80 items", "C": "100 items", "D": "120 items"}, "correct_answer": "B"},
    {"id": 56, "difficulty": "medium", "question": "A pie chart for data: 15, 25, 35, 25. Sum of smallest and largest angles?", "options": {"A": "120°", "B": "150°", "C": "180°", "D": "210°"}, "correct_answer": "D"},
    {"id": 57, "difficulty": "medium", "question": "If a category's percentage increases from 20% to 30%, its sector angle increases by:", "options": {"A": "10°", "B": "36°", "C": "72°", "D": "108°"}, "correct_answer": "B"},
    {"id": 58, "difficulty": "medium", "question": "A pie chart shows expenses: Food=100°, Rent=80°, Education=90°, Others=? Total angle 360°. Others = ?", "options": {"A": "70°", "B": "80°", "C": "90°", "D": "100°"}, "correct_answer": "C"},
    {"id": 59, "difficulty": "medium", "question": "In a pie chart, if one sector is 40% of circle, remaining sectors together are:", "options": {"A": "60%", "B": "144°", "C": "216°", "D": "Both A and C"}, "correct_answer": "D"},
    {"id": 60, "difficulty": "medium", "question": "Which is harder to read accurately: pie chart or bar graph?", "options": {"A": "Pie chart", "B": "Bar graph", "C": "Both equally", "D": "Depends on data"}, "correct_answer": "A"},
    {"id": 61, "difficulty": "medium", "question": "If total = 240, angle = 45°, value = ?", "options": {"A": "20", "B": "30", "C": "40", "D": "50"}, "correct_answer": "B"},
    {"id": 62, "difficulty": "medium", "question": "A pie chart for marks: 90°, 72°, 108°, 90°. If total marks = 500, marks for 72° sector?", "options": {"A": "80", "B": "100", "C": "120", "D": "150"}, "correct_answer": "B"},
    {"id": 63, "difficulty": "medium", "question": "What is angle for 12.5%?", "options": {"A": "30°", "B": "36°", "C": "45°", "D": "60°"}, "correct_answer": "C"},
    {"id": 64, "difficulty": "medium", "question": "In a class of 50, 10 students are absent. Angle for absent students?", "options": {"A": "36°", "B": "60°", "C": "72°", "D": "90°"}, "correct_answer": "C"},
    {"id": 65, "difficulty": "medium", "question": "A pie chart shows 3 sectors: 2x°, 3x°, 5x°. Find x.", "options": {"A": "24", "B": "30", "C": "36", "D": "45"}, "correct_answer": "C"},
    {"id": 66, "difficulty": "medium", "question": "If a sector angle is 1/6 of circle, percentage?", "options": {"A": "12.5%", "B": "16.67%", "C": "20%", "D": "25%"}, "correct_answer": "B"},
    {"id": 67, "difficulty": "medium", "question": "A pie chart for budget: Rent=30%, Food=40%, Others=30%. If total budget=₹20000, amount for Food?", "options": {"A": "₹5000", "B": "₹6000", "C": "₹7000", "D": "₹8000"}, "correct_answer": "D"},
    {"id": 68, "difficulty": "medium", "question": "From a pie chart with sector angles 80°,100°,120°,60°, the largest sector percentage?", "options": {"A": "25%", "B": "30%", "C": "33.33%", "D": "40%"}, "correct_answer": "C"},
    {"id": 69, "difficulty": "medium", "question": "If total observations = O, value = V, angle = (V/O)×___", "options": {"A": "180", "B": "270", "C": "360", "D": "720"}, "correct_answer": "C"},
    {"id": 70, "difficulty": "medium", "question": "A pie chart has sectors with angles in ratio 2:3:4:3. Smallest sector percentage?", "options": {"A": "12.5%", "B": "16.67%", "C": "20%", "D": "25%"}, "correct_answer": "B"},
    {"id": 71, "difficulty": "medium", "question": "For data 5,10,15,20, total=50. Angle for 15?", "options": {"A": "54°", "B": "72°", "C": "90°", "D": "108°"}, "correct_answer": "D"},
    {"id": 72, "difficulty": "medium", "question": "A pie chart shows election results: Party A=144°, Party B=120°, Party C=96°. Who won?", "options": {"A": "Party A", "B": "Party B", "C": "Party C", "D": "Cannot determine without total votes"}, "correct_answer": "A"},
    {"id": 73, "difficulty": "medium", "question": "If a category has frequency 0, its sector:", "options": {"A": "Has 0° angle", "B": "Is not shown", "C": "Both A and B", "D": "Has 360° angle"}, "correct_answer": "C"},
    {"id": 74, "difficulty": "medium", "question": "A pie chart's total angle is 360°. If a sector of 60° is removed, remaining total angle?", "options": {"A": "270°", "B": "300°", "C": "320°", "D": "360°"}, "correct_answer": "B"},
    {"id": 75, "difficulty": "medium", "question": "Which calculation is correct for pie chart angle?", "options": {"A": "(Value/Total)×180", "B": "(Value×360)/Total", "C": "(Total/Value)×360", "D": "Value×Total/360"}, "correct_answer": "B"},
    {"id": 76, "difficulty": "medium", "question": "A pie chart has sectors labeled with percentages. If one sector says 25%, its angle is:", "options": {"A": "60°", "B": "90°", "C": "120°", "D": "150°"}, "correct_answer": "B"},
    {"id": 77, "difficulty": "medium", "question": "If a pie chart sector is 120° and total=180, value=?", "options": {"A": "40", "B": "50", "C": "60", "D": "70"}, "correct_answer": "C"},
    {"id": 78, "difficulty": "medium", "question": "For data with one very large value, pie chart may:", "options": {"A": "Be very accurate", "B": "Have one sector dominating", "C": "Become a line graph", "D": "Not show small sectors"}, "correct_answer": "B"},
    {"id": 79, "difficulty": "medium", "question": "A pie chart shows favorite subjects: Math=72°, Science=108°, English=90°, S.St=90°. If 45 students like Science, total students?", "options": {"A": "120", "B": "150", "C": "180", "D": "200"}, "correct_answer": "B"},
    {"id": 80, "difficulty": "medium", "question": "If 15% of data is in sector A, angle of A?", "options": {"A": "45°", "B": "54°", "C": "60°", "D": "72°"}, "correct_answer": "B"},

    {"id": 81, "difficulty": "hard", "question": "A pie chart shows company departments: HR=40°, IT=80°, Sales=120°, R&D=x°, Admin=60°. Find x.", "options": {"A": "40°", "B": "50°", "C": "60°", "D": "70°"}, "correct_answer": "C"},
    {"id": 82, "difficulty": "hard", "question": "In a pie chart, two sectors have angles 50° and 70°. If total frequency is 720, difference in their frequencies?", "options": {"A": "20", "B": "30", "C": "40", "D": "50"}, "correct_answer": "C"},
    {"id": 83, "difficulty": "hard", "question": "A pie chart for monthly expenses: Rent=30%, Food=25%, Edu=20%, Others=25%. If Rent is ₹9000, total expenses?", "options": {"A": "₹20000", "B": "₹25000", "C": "₹30000", "D": "₹36000"}, "correct_answer": "C"},
    {"id": 84, "difficulty": "hard", "question": "In a survey, ratio of people liking Tea:Coffee:Milk is 4:5:3. Angle for Coffee in pie chart?", "options": {"A": "120°", "B": "135°", "C": "150°", "D": "165°"}, "correct_answer": "C"},
    {"id": 85, "difficulty": "hard", "question": "A pie chart has sectors with angles in ratio 3:4:5. Percentage of smallest sector?", "options": {"A": "20%", "B": "25%", "C": "30%", "D": "33.33%"}, "correct_answer": "B"},
    {"id": 86, "difficulty": "hard", "question": "If a pie chart sector is 108° and represents 54 items, how many items for a sector of 72°?", "options": {"A": "30", "B": "36", "C": "42", "D": "48"}, "correct_answer": "B"},
    {"id": 87, "difficulty": "hard", "question": "In a class, 40% students are girls. Angle for girls in pie chart?", "options": {"A": "120°", "B": "144°", "C": "150°", "D": "160°"}, "correct_answer": "B"},
    {"id": 88, "difficulty": "hard", "question": "A pie chart shows time spent: Study=2x°, Play=x°, Sleep=3x°, Eat=60°. Find x.", "options": {"A": "40", "B": "50", "C": "60", "D": "70"}, "correct_answer": "B"},
    {"id": 89, "difficulty": "hard", "question": "From a pie chart, if sector A=80°, sector B=100°, and value of A=40, value of B?", "options": {"A": "45", "B": "50", "C": "55", "D": "60"}, "correct_answer": "B"},
    {"id": 90, "difficulty": "hard", "question": "A data set has values in ratio 2:3:4:6. Largest sector angle?", "options": {"A": "96°", "B": "108°", "C": "120°", "D": "144°"}, "correct_answer": "D"},
    {"id": 91, "difficulty": "hard", "question": "In a pie chart, if a sector of 90° is divided into two equal parts, each new sector represents:", "options": {"A": "12.5%", "B": "15%", "C": "20%", "D": "25%"}, "correct_answer": "A"},
    {"id": 92, "difficulty": "hard", "question": "A pie chart shows marks distribution: Pass=270°, Fail=90°. If 60 students failed, total students?", "options": {"A": "180", "B": "200", "C": "240", "D": "300"}, "correct_answer": "C"},
    {"id": 93, "difficulty": "hard", "question": "If total = T, angle = θ, value V = (θ/360)×T. If V=25, θ=30°, find T.", "options": {"A": "200", "B": "250", "C": "300", "D": "350"}, "correct_answer": "C"},
    {"id": 94, "difficulty": "hard", "question": "A pie chart has sectors: A=70°, B=80°, C=90°, D=120°. If value of C=45, value of A?", "options": {"A": "30", "B": "35", "C": "40", "D": "45"}, "correct_answer": "B"},
    {"id": 95, "difficulty": "hard", "question": "In a pie chart for blood groups: O=40%, A=30%, B=20%, AB=10%. Angle for B?", "options": {"A": "54°", "B": "72°", "C": "90°", "D": "108°"}, "correct_answer": "B"},
    {"id": 96, "difficulty": "hard", "question": "A pie chart shows sales of 4 products: P=60°, Q=90°, R=120°, S=90°. If sales of Q=₹45000, sales of R?", "options": {"A": "₹50000", "B": "₹60000", "C": "₹75000", "D": "₹90000"}, "correct_answer": "B"},
    {"id": 97, "difficulty": "hard", "question": "If a pie chart sector is 1/9 of circle, its percentage?", "options": {"A": "9%", "B": "10%", "C": "11.11%", "D": "12.5%"}, "correct_answer": "C"},
    {"id": 98, "difficulty": "hard", "question": "A pie chart has total frequency 480. Two sectors have angles 45° and 75°. Sum of their frequencies?", "options": {"A": "120", "B": "140", "C": "160", "D": "180"}, "correct_answer": "C"},
    {"id": 99, "difficulty": "hard", "question": "In a pie chart, if a sector of 40° is increased to 60°, percentage increase in its value?", "options": {"A": "20%", "B": "33.33%", "C": "50%", "D": "60%"}, "correct_answer": "C"},
    {"id": 100, "difficulty": "hard", "question": "A survey of 600 people: 150 like A, 200 like B, 250 like C. Difference between angles for B and A?", "options": {"A": "15°", "B": "20°", "C": "30°", "D": "40°"}, "correct_answer": "C"}
  ]
}