{
  "title": "Area of Triangles and Parallelograms - Grade 7 CBSE",
  "total_questions": 150,
  "questions": [
    {"id": 1, "difficulty": "easy", "question": "What is formula for area of triangle?", "options": {"A": "½ × base × height", "B": "base × height", "C": "½ × (base + height)", "D": "base + height"}, "correct_answer": "A"},
    {"id": 2, "difficulty": "easy", "question": "What is formula for area of parallelogram?", "options": {"A": "½ × base × height", "B": "base × height", "C": "½ × (base + height)", "D": "base + height"}, "correct_answer": "B"},
    {"id": 3, "difficulty": "easy", "question": "If base = 10 cm and height = 5 cm, what is area of triangle?", "options": {"A": "15 cm²", "B": "25 cm²", "C": "50 cm²", "D": "100 cm²"}, "correct_answer": "B"},
    {"id": 4, "difficulty": "easy", "question": "If base = 8 cm and height = 6 cm, what is area of parallelogram?", "options": {"A": "14 cm²", "B": "24 cm²", "C": "48 cm²", "D": "96 cm²"}, "correct_answer": "C"},
    {"id": 5, "difficulty": "easy", "question": "Area of triangle is 24 cm², base = 8 cm. What is height?", "options": {"A": "3 cm", "B": "4 cm", "C": "6 cm", "D": "8 cm"}, "correct_answer": "C"},
    {"id": 6, "difficulty": "easy", "question": "Area of parallelogram is 45 cm², height = 5 cm. What is base?", "options": {"A": "4.5 cm", "B": "9 cm", "C": "15 cm", "D": "20 cm"}, "correct_answer": "B"},
    {"id": 7, "difficulty": "easy", "question": "What is area of triangle with base 12 cm and height 7 cm?", "options": {"A": "19 cm²", "B": "42 cm²", "C": "84 cm²", "D": "168 cm²"}, "correct_answer": "B"},
    {"id": 8, "difficulty": "easy", "question": "What is area of parallelogram with base 15 cm and height 4 cm?", "options": {"A": "19 cm²", "B": "30 cm²", "C": "60 cm²", "D": "120 cm²"}, "correct_answer": "C"},
    {"id": 9, "difficulty": "easy", "question": "If triangle area = ½ × b × h, what is b if area = 30 and h = 6?", "options": {"A": "5", "B": "10", "C": "15", "D": "20"}, "correct_answer": "B"},
    {"id": 10, "difficulty": "easy", "question": "If parallelogram area = b × h, what is h if area = 72 and b = 9?", "options": {"A": "6", "B": "7", "C": "8", "D": "9"}, "correct_answer": "C"},
    {"id": 11, "difficulty": "easy", "question": "Area of triangle is half of area of parallelogram with same?", "options": {"A": "base and height", "B": "base only", "C": "height only", "D": "perimeter"}, "correct_answer": "A"},
    {"id": 12, "difficulty": "easy", "question": "What is area of triangle with base 20 cm and height 8 cm?", "options": {"A": "28 cm²", "B": "80 cm²", "C": "160 cm²", "D": "320 cm²"}, "correct_answer": "B"},
    {"id": 13, "difficulty": "easy", "question": "What is area of parallelogram with base 25 cm and height 12 cm?", "options": {"A": "37 cm²", "B": "150 cm²", "C": "300 cm²", "D": "600 cm²"}, "correct_answer": "C"},
    {"id": 14, "difficulty": "easy", "question": "If area of triangle is 18 cm² and height is 6 cm, what is base?", "options": {"A": "3 cm", "B": "4 cm", "C": "5 cm", "D": "6 cm"}, "correct_answer": "D"},
    {"id": 15, "difficulty": "easy", "question": "If area of parallelogram is 84 cm² and base is 14 cm, what is height?", "options": {"A": "5 cm", "B": "6 cm", "C": "7 cm", "D": "8 cm"}, "correct_answer": "B"},
    {"id": 16, "difficulty": "easy", "question": "Triangle area is 50 cm², base = 10 cm. Height = ?", "options": {"A": "5 cm", "B": "10 cm", "C": "15 cm", "D": "20 cm"}, "correct_answer": "B"},
    {"id": 17, "difficulty": "easy", "question": "Parallelogram area is 108 cm², height = 9 cm. Base = ?", "options": {"A": "10 cm", "B": "11 cm", "C": "12 cm", "D": "13 cm"}, "correct_answer": "C"},
    {"id": 18, "difficulty": "easy", "question": "What is area of triangle with base 16 cm and height 9 cm?", "options": {"A": "72 cm²", "B": "144 cm²", "C": "288 cm²", "D": "576 cm²"}, "correct_answer": "A"},
    {"id": 19, "difficulty": "easy", "question": "What is area of parallelogram with base 18 cm and height 11 cm?", "options": {"A": "99 cm²", "B": "198 cm²", "C": "396 cm²", "D": "792 cm²"}, "correct_answer": "B"},
    {"id": 20, "difficulty": "easy", "question": "If triangle and parallelogram have same base and height, their area ratio is?", "options": {"A": "1:1", "B": "1:2", "C": "2:1", "D": "1:3"}, "correct_answer": "B"},
    
    {"id": 21, "difficulty": "medium", "question": "Area of triangle is 60 cm². If base is 15 cm, what is height?", "options": {"A": "4 cm", "B": "6 cm", "C": "8 cm", "D": "10 cm"}, "correct_answer": "C"},
    {"id": 22, "difficulty": "medium", "question": "Area of parallelogram is 96 cm². If height is 8 cm, what is base?", "options": {"A": "10 cm", "B": "12 cm", "C": "14 cm", "D": "16 cm"}, "correct_answer": "B"},
    {"id": 23, "difficulty": "medium", "question": "If triangle has area 48 cm² and height 12 cm, what is base?", "options": {"A": "4 cm", "B": "6 cm", "C": "8 cm", "D": "10 cm"}, "correct_answer": "C"},
    {"id": 24, "difficulty": "medium", "question": "If parallelogram has area 120 cm² and base 15 cm, what is height?", "options": {"A": "6 cm", "B": "7 cm", "C": "8 cm", "D": "9 cm"}, "correct_answer": "C"},
    {"id": 25, "difficulty": "medium", "question": "Right triangle has legs 6 cm and 8 cm. What is area?", "options": {"A": "14 cm²", "B": "24 cm²", "C": "48 cm²", "D": "96 cm²"}, "correct_answer": "B"},
    {"id": 26, "difficulty": "medium", "question": "Parallelogram has base 20 cm and area 180 cm². What is height?", "options": {"A": "7 cm", "B": "8 cm", "C": "9 cm", "D": "10 cm"}, "correct_answer": "C"},
    {"id": 27, "difficulty": "medium", "question": "Triangle area is 84 cm², height 14 cm. What is base?", "options": {"A": "6 cm", "B": "8 cm", "C": "10 cm", "D": "12 cm"}, "correct_answer": "D"},
    {"id": 28, "difficulty": "medium", "question": "Two triangles have same base and height. Their areas are?", "options": {"A": "Equal", "B": "Different", "C": "Double", "D": "Half"}, "correct_answer": "A"},
    {"id": 29, "difficulty": "medium", "question": "Parallelogram area is 144 cm². If base is 16 cm, height is?", "options": {"A": "7 cm", "B": "8 cm", "C": "9 cm", "D": "10 cm"}, "correct_answer": "C"},
    {"id": 30, "difficulty": "medium", "question": "Triangle has base 24 cm and area 120 cm². Height is?", "options": {"A": "5 cm", "B": "8 cm", "C": "10 cm", "D": "12 cm"}, "correct_answer": "C"},
    {"id": 31, "difficulty": "medium", "question": "Parallelogram with base 25 cm has area 200 cm². Height is?", "options": {"A": "6 cm", "B": "7 cm", "C": "8 cm", "D": "9 cm"}, "correct_answer": "C"},
    {"id": 32, "difficulty": "medium", "question": "If triangle area is 75 cm² and height is 15 cm, base is?", "options": {"A": "5 cm", "B": "8 cm", "C": "10 cm", "D": "12 cm"}, "correct_answer": "C"},
    {"id": 33, "difficulty": "medium", "question": "Parallelogram area is 168 cm². Height is 14 cm. Base is?", "options": {"A": "10 cm", "B": "11 cm", "C": "12 cm", "D": "13 cm"}, "correct_answer": "C"},
    {"id": 34, "difficulty": "medium", "question": "Right triangle area is 30 cm². One leg is 5 cm. Other leg is?", "options": {"A": "6 cm", "B": "8 cm", "C": "10 cm", "D": "12 cm"}, "correct_answer": "D"},
    {"id": 35, "difficulty": "medium", "question": "Triangle and parallelogram have equal areas. If base is same, height ratio is?", "options": {"A": "1:1", "B": "1:2", "C": "2:1", "D": "1:3"}, "correct_answer": "C"},
    {"id": 36, "difficulty": "medium", "question": "Parallelogram area is 135 cm². Base is 15 cm. Height is?", "options": {"A": "7 cm", "B": "8 cm", "C": "9 cm", "D": "10 cm"}, "correct_answer": "C"},
    {"id": 37, "difficulty": "medium", "question": "Triangle area is 96 cm². Base is 16 cm. Height is?", "options": {"A": "6 cm", "B": "8 cm", "C": "10 cm", "D": "12 cm"}, "correct_answer": "D"},
    {"id": 38, "difficulty": "medium", "question": "If parallelogram base doubles and height halves, area?", "options": {"A": "Doubles", "B": "Halves", "C": "Same", "D": "Quadruples"}, "correct_answer": "C"},
    {"id": 39, "difficulty": "medium", "question": "Triangle area is 108 cm². Height is 12 cm. Base is?", "options": {"A": "9 cm", "B": "12 cm", "C": "15 cm", "D": "18 cm"}, "correct_answer": "D"},
    {"id": 40, "difficulty": "medium", "question": "Parallelogram with height 11 cm has area 154 cm². Base is?", "options": {"A": "12 cm", "B": "13 cm", "C": "14 cm", "D": "15 cm"}, "correct_answer": "C"},
    {"id": 41, "difficulty": "medium", "question": "Triangle base is 28 cm, area 112 cm². Height is?", "options": {"A": "6 cm", "B": "7 cm", "C": "8 cm", "D": "9 cm"}, "correct_answer": "C"},
    {"id": 42, "difficulty": "medium", "question": "Parallelogram area 192 cm², base 24 cm. Height?", "options": {"A": "6 cm", "B": "7 cm", "C": "8 cm", "D": "9 cm"}, "correct_answer": "C"},
    {"id": 43, "difficulty": "medium", "question": "Triangle area 150 cm², height 15 cm. Base?", "options": {"A": "10 cm", "B": "15 cm", "C": "20 cm", "D": "25 cm"}, "correct_answer": "C"},
    {"id": 44, "difficulty": "medium", "question": "Parallelogram area 225 cm², height 15 cm. Base?", "options": {"A": "12 cm", "B": "13 cm", "C": "14 cm", "D": "15 cm"}, "correct_answer": "D"},
    {"id": 45, "difficulty": "medium", "question": "If triangle base triples and height doubles, area becomes?", "options": {"A": "2 times", "B": "3 times", "C": "5 times", "D": "6 times"}, "correct_answer": "D"},
    {"id": 46, "difficulty": "medium", "question": "Parallelogram area 260 cm², base 20 cm. Height?", "options": {"A": "11 cm", "B": "12 cm", "C": "13 cm", "D": "14 cm"}, "correct_answer": "C"},
    {"id": 47, "difficulty": "medium", "question": "Triangle area 240 cm², base 30 cm. Height?", "options": {"A": "8 cm", "B": "12 cm", "C": "16 cm", "D": "20 cm"}, "correct_answer": "C"},
    {"id": 48, "difficulty": "medium", "question": "Two parallelograms have equal bases. Their area ratio equals their?", "options": {"A": "base ratio", "B": "height ratio", "C": "perimeter ratio", "D": "diagonal ratio"}, "correct_answer": "B"},
    {"id": 49, "difficulty": "medium", "question": "Triangle area 180 cm², height 20 cm. Base?", "options": {"A": "9 cm", "B": "12 cm", "C": "15 cm", "D": "18 cm"}, "correct_answer": "D"},
    {"id": 50, "difficulty": "medium", "question": "Parallelogram area 288 cm², height 18 cm. Base?", "options": {"A": "14 cm", "B": "15 cm", "C": "16 cm", "D": "17 cm"}, "correct_answer": "C"},
    {"id": 51, "difficulty": "medium", "question": "Right triangle area 54 cm², one leg 9 cm. Other leg?", "options": {"A": "6 cm", "B": "8 cm", "C": "10 cm", "D": "12 cm"}, "correct_answer": "D"},
    {"id": 52, "difficulty": "medium", "question": "Parallelogram area 315 cm², base 21 cm. Height?", "options": {"A": "13 cm", "B": "14 cm", "C": "15 cm", "D": "16 cm"}, "correct_answer": "C"},
    {"id": 53, "difficulty": "medium", "question": "Triangle area 294 cm², base 28 cm. Height?", "options": {"A": "10.5 cm", "B": "14 cm", "C": "17.5 cm", "D": "21 cm"}, "correct_answer": "D"},
    {"id": 54, "difficulty": "medium", "question": "If parallelogram height doubles and base halves, area?", "options": {"A": "Same", "B": "Doubles", "C": "Halves", "D": "Quadruples"}, "correct_answer": "A"},
    {"id": 55, "difficulty": "medium", "question": "Parallelogram area 360 cm², height 24 cm. Base?", "options": {"A": "12 cm", "B": "13 cm", "C": "14 cm", "D": "15 cm"}, "correct_answer": "D"},
    {"id": 56, "difficulty": "medium", "question": "Triangle area 336 cm², height 28 cm. Base?", "options": {"A": "12 cm", "B": "16 cm", "C": "20 cm", "D": "24 cm"}, "correct_answer": "D"},
    {"id": 57, "difficulty": "medium", "question": "Two triangles have equal heights. Their area ratio equals their?", "options": {"A": "height ratio", "B": "base ratio", "C": "perimeter ratio", "D": "side ratio"}, "correct_answer": "B"},
    {"id": 58, "difficulty": "medium", "question": "Parallelogram area 400 cm², base 25 cm. Height?", "options": {"A": "14 cm", "B": "15 cm", "C": "16 cm", "D": "17 cm"}, "correct_answer": "C"},
    {"id": 59, "difficulty": "medium", "question": "Triangle area 405 cm², base 30 cm. Height?", "options": {"A": "13.5 cm", "B": "18 cm", "C": "22.5 cm", "D": "27 cm"}, "correct_answer": "D"},
    {"id": 60, "difficulty": "medium", "question": "Parallelogram area 441 cm², height 21 cm. Base?", "options": {"A": "18 cm", "B": "19 cm", "C": "20 cm", "D": "21 cm"}, "correct_answer": "D"},
    {"id": 61, "difficulty": "medium", "question": "Right triangle with legs 15 cm and 20 cm has area?", "options": {"A": "150 cm²", "B": "175 cm²", "C": "200 cm²", "D": "225 cm²"}, "correct_answer": "A"},
    {"id": 62, "difficulty": "medium", "question": "Parallelogram area 500 cm², base 25 cm. Height?", "options": {"A": "18 cm", "B": "19 cm", "C": "20 cm", "D": "21 cm"}, "correct_answer": "C"},
    {"id": 63, "difficulty": "medium", "question": "Triangle area 540 cm², height 30 cm. Base?", "options": {"A": "18 cm", "B": "24 cm", "C": "30 cm", "D": "36 cm"}, "correct_answer": "D"},
    {"id": 64, "difficulty": "medium", "question": "If triangle base and height both double, area becomes?", "options": {"A": "2 times", "B": "3 times", "C": "4 times", "D": "8 times"}, "correct_answer": "C"},
    {"id": 65, "difficulty": "medium", "question": "Parallelogram area 576 cm², height 24 cm. Base?", "options": {"A": "22 cm", "B": "23 cm", "C": "24 cm", "D": "25 cm"}, "correct_answer": "C"},
    {"id": 66, "difficulty": "medium", "question": "Triangle area 600 cm², base 40 cm. Height?", "options": {"A": "15 cm", "B": "20 cm", "C": "25 cm", "D": "30 cm"}, "correct_answer": "D"},
    {"id": 67, "difficulty": "medium", "question": "Two parallelograms have equal areas. If bases ratio is 3:2, heights ratio is?", "options": {"A": "2:3", "B": "3:2", "C": "4:9", "D": "9:4"}, "correct_answer": "A"},
    {"id": 68, "difficulty": "medium", "question": "Parallelogram area 648 cm², base 27 cm. Height?", "options": {"A": "22 cm", "B": "23 cm", "C": "24 cm", "D": "25 cm"}, "correct_answer": "C"},
    {"id": 69, "difficulty": "medium", "question": "Triangle area 700 cm², height 35 cm. Base?", "options": {"A": "20 cm", "B": "30 cm", "C": "40 cm", "D": "50 cm"}, "correct_answer": "C"},
    {"id": 70, "difficulty": "medium", "question": "Parallelogram area 729 cm², height 27 cm. Base?", "options": {"A": "25 cm", "B": "26 cm", "C": "27 cm", "D": "28 cm"}, "correct_answer": "C"},
    {"id": 71, "difficulty": "medium", "question": "Right triangle area 96 cm², one leg 12 cm. Other leg?", "options": {"A": "8 cm", "B": "10 cm", "C": "14 cm", "D": "16 cm"}, "correct_answer": "D"},
    {"id": 72, "difficulty": "medium", "question": "Parallelogram area 800 cm², base 32 cm. Height?", "options": {"A": "22 cm", "B": "23 cm", "C": "24 cm", "D": "25 cm"}, "correct_answer": "D"},
    {"id": 73, "difficulty": "medium", "question": "Triangle area 864 cm², base 48 cm. Height?", "options": {"A": "18 cm", "B": "24 cm", "C": "30 cm", "D": "36 cm"}, "correct_answer": "D"},
    {"id": 74, "difficulty": "medium", "question": "If parallelogram base increases by 50% and height decreases by 20%, area changes by?", "options": {"A": "+20%", "B": "+30%", "C": "+40%", "D": "+50%"}, "correct_answer": "A"},
    {"id": 75, "difficulty": "medium", "question": "Parallelogram area 900 cm², height 30 cm. Base?", "options": {"A": "28 cm", "B": "29 cm", "C": "30 cm", "D": "31 cm"}, "correct_answer": "C"},
    {"id": 76, "difficulty": "medium", "question": "Triangle area 980 cm², height 40 cm. Base?", "options": {"A": "24.5 cm", "B": "36.5 cm", "C": "49 cm", "D": "61.5 cm"}, "correct_answer": "C"},
    {"id": 77, "difficulty": "medium", "question": "Two triangles have bases ratio 4:5 and equal heights. Their area ratio is?", "options": {"A": "4:5", "B": "5:4", "C": "16:25", "D": "25:16"}, "correct_answer": "A"},
    {"id": 78, "difficulty": "medium", "question": "Parallelogram area 1008 cm², base 36 cm. Height?", "options": {"A": "26 cm", "B": "27 cm", "C": "28 cm", "D": "29 cm"}, "correct_answer": "C"},
    {"id": 79, "difficulty": "medium", "question": "Triangle area 1152 cm², base 64 cm. Height?", "options": {"A": "18 cm", "B": "27 cm", "C": "36 cm", "D": "45 cm"}, "correct_answer": "C"},
    {"id": 80, "difficulty": "medium", "question": "Parallelogram area 1225 cm², height 35 cm. Base?", "options": {"A": "33 cm", "B": "34 cm", "C": "35 cm", "D": "36 cm"}, "correct_answer": "C"},
    
    {"id": 81, "difficulty": "hard", "question": "Triangle and parallelogram have equal areas. Triangle height is 12 cm, parallelogram height is 8 cm. If parallelogram base is 18 cm, what is triangle base?", "options": {"A": "12 cm", "B": "18 cm", "C": "24 cm", "D": "36 cm"}, "correct_answer": "C"},
    {"id": 82, "difficulty": "hard", "question": "Area of parallelogram is 240 cm². If base increases by 25% and height decreases by 20%, new area is?", "options": {"A": "220 cm²", "B": "240 cm²", "C": "260 cm²", "D": "280 cm²"}, "correct_answer": "B"},
    {"id": 83, "difficulty": "hard", "question": "Right triangle has hypotenuse 25 cm and one leg 7 cm. What is area?", "options": {"A": "42 cm²", "B": "84 cm²", "C": "168 cm²", "D": "336 cm²"}, "correct_answer": "B"},
    {"id": 84, "difficulty": "hard", "question": "Triangle area is 150 cm². If base increases by 20% and height decreases by 16⅔%, new area is?", "options": {"A": "140 cm²", "B": "150 cm²", "C": "160 cm²", "D": "170 cm²"}, "correct_answer": "B"},
    {"id": 85, "difficulty": "hard", "question": "Parallelogram area is 300 cm². Height is 40% of base. What is base?", "options": {"A": "15√5 cm", "B": "20√5 cm", "C": "25√5 cm", "D": "30√5 cm"}, "correct_answer": "D"},
    {"id": 86, "difficulty": "hard", "question": "Triangle area is 216 cm². Base and height are in ratio 3:4. What is height?", "options": {"A": "12 cm", "B": "16 cm", "C": "20 cm", "D": "24 cm"}, "correct_answer": "D"},
    {"id": 87, "difficulty": "hard", "question": "Parallelogram with area 392 cm² has height 28 cm. What is base?", "options": {"A": "12 cm", "B": "13 cm", "C": "14 cm", "D": "15 cm"}, "correct_answer": "C"},
    {"id": 88, "difficulty": "hard", "question": "Triangle area is 338 cm². If height is 13 cm more than base, and base = x, solve for x.", "options": {"A": "12 cm", "B": "13 cm", "C": "14 cm", "D": "15 cm"}, "correct_answer": "B"},
    {"id": 89, "difficulty": "hard", "question": "Parallelogram area 450 cm². If base:height = 3:2, what is base?", "options": {"A": "15√3 cm", "B": "20√3 cm", "C": "25√3 cm", "D": "30√3 cm"}, "correct_answer": "A"},
    {"id": 90, "difficulty": "hard", "question": "Two triangles have equal areas. First has base 18 cm, height 12 cm. Second has base 24 cm. What is height of second?", "options": {"A": "8 cm", "B": "9 cm", "C": "10 cm", "D": "12 cm"}, "correct_answer": "B"},
    {"id": 91, "difficulty": "hard", "question": "Parallelogram area 600 cm². If base decreases by 20% and height increases by 50%, new area is?", "options": {"A": "600 cm²", "B": "660 cm²", "C": "720 cm²", "D": "780 cm²"}, "correct_answer": "C"},
    {"id": 92, "difficulty": "hard", "question": "Triangle area is 294 cm². Base is 7/6 of height. Find base.", "options": {"A": "14 cm", "B": "21 cm", "C": "28 cm", "D": "35 cm"}, "correct_answer": "B"},
    {"id": 93, "difficulty": "hard", "question": "Parallelogram and triangle have equal bases and equal areas. Parallelogram height is 10 cm. Triangle height is?", "options": {"A": "10 cm", "B": "15 cm", "C": "20 cm", "D": "25 cm"}, "correct_answer": "C"},
    {"id": 94, "difficulty": "hard", "question": "Triangle area 384 cm². If base increases by 25% and height decreases by x% to keep area same, x = ?", "options": {"A": "15%", "B": "20%", "C": "25%", "D": "30%"}, "correct_answer": "B"},
    {"id": 95, "difficulty": "hard", "question": "Parallelogram area 784 cm². Base is 1.75 times height. Find height.", "options": {"A": "14 cm", "B": "16 cm", "C": "18 cm", "D": "20 cm"}, "correct_answer": "B"},
    {"id": 96, "difficulty": "hard", "question": "Right triangle has area 120 cm². If one leg is 15 cm, what is hypotenuse?", "options": {"A": "17 cm", "B": "19 cm", "C": "21 cm", "D": "25 cm"}, "correct_answer": "D"},
    {"id": 97, "difficulty": "hard", "question": "Triangle area 432 cm². Base and height are in ratio 2:3. Find perimeter if sides are base, height, and hypotenuse of right triangle.", "options": {"A": "36 cm", "B": "48 cm", "C": "60 cm", "D": "72 cm"}, "correct_answer": "D"},
   {"id": 98, "difficulty": "hard", "question": "Parallelogram area 1080 cm². If height is 3/5 of base, find base.", "options": {"A": "30√2 cm", "B": "30√3 cm", "C": "30√5 cm", "D": "30√6 cm"}, "correct_answer": "A"}
,  {"id": 99, "difficulty": "hard", "question": "Two triangles have areas ratio 9:16. If their bases are equal, what is ratio of heights?", "options": {"A": "3:4", "B": "4:3", "C": "9:16", "D": "16:9"}, "correct_answer": "A"},
    {"id": 100, "difficulty": "hard", "question": "Parallelogram area changes from 500 cm² to 540 cm² when base increases by 10%. What was original height if original base was 25 cm?", "options": {"A": "18 cm", "B": "19 cm", "C": "20 cm", "D": "21 cm"}, "correct_answer": "C"}
 ,
 {"id":101,"difficulty":"easy","question":"What is the area of a triangle with base 14 cm and height 6 cm?","options":{"A":"42 cm²","B":"84 cm²","C":"28 cm²","D":"168 cm²"},"correct_answer":"A"},
    {"id":102,"difficulty":"easy","question":"Find the area of a parallelogram with base 9 cm and height 7 cm.","options":{"A":"31.5 cm²","B":"63 cm²","C":"126 cm²","D":"72 cm²"},"correct_answer":"B"},
    {"id":103,"difficulty":"easy","question":"If the area of a triangle is 36 cm² and base is 12 cm, what is the height?","options":{"A":"3 cm","B":"6 cm","C":"9 cm","D":"12 cm"},"correct_answer":"B"},
    {"id":104,"difficulty":"easy","question":"What is the area of a parallelogram whose height is 10 cm and base is 11 cm?","options":{"A":"55 cm²","B":"100 cm²","C":"110 cm²","D":"220 cm²"},"correct_answer":"C"},
    {"id":105,"difficulty":"easy","question":"A triangle has base 18 cm and height 4 cm. Find its area.","options":{"A":"36 cm²","B":"72 cm²","C":"144 cm²","D":"18 cm²"},"correct_answer":"B"},
    {"id":106,"difficulty":"easy","question":"Area of parallelogram = 70 cm², height = 10 cm. Base = ?","options":{"A":"5 cm","B":"6 cm","C":"7 cm","D":"8 cm"},"correct_answer":"C"},
    {"id":107,"difficulty":"easy","question":"Area of a triangle is half of a parallelogram having same base and height. This is because triangle area formula is:","options":{"A":"b × h","B":"½ × b × h","C":"b + h","D":"2b + h"},"correct_answer":"B"},
    {"id":108,"difficulty":"easy","question":"Find the area of a triangle with base 20 cm and height 3 cm.","options":{"A":"30 cm²","B":"60 cm²","C":"120 cm²","D":"15 cm²"},"correct_answer":"A"},
    {"id":109,"difficulty":"easy","question":"What is the area of a parallelogram with base 16 cm and height 5 cm?","options":{"A":"40 cm²","B":"80 cm²","C":"160 cm²","D":"20 cm²"},"correct_answer":"B"},
    {"id":110,"difficulty":"easy","question":"If base = 12 cm and height = 9 cm, area of triangle is:","options":{"A":"54 cm²","B":"108 cm²","C":"216 cm²","D":"27 cm²"},"correct_answer":"A"},
    {"id":111,"difficulty":"easy","question":"Area of parallelogram is 64 cm² and base is 8 cm. Height is:","options":{"A":"6 cm","B":"7 cm","C":"8 cm","D":"9 cm"},"correct_answer":"C"},
    {"id":112,"difficulty":"easy","question":"What is the area of a triangle with height 10 cm and base 5 cm?","options":{"A":"25 cm²","B":"50 cm²","C":"100 cm²","D":"75 cm²"},"correct_answer":"A"},
    {"id":113,"difficulty":"easy","question":"If parallelogram area = 90 cm² and height = 15 cm, base = ?","options":{"A":"5 cm","B":"6 cm","C":"7 cm","D":"8 cm"},"correct_answer":"B"},
    {"id":114,"difficulty":"easy","question":"Area of a triangle is 70 cm² and height is 10 cm. Base is:","options":{"A":"7 cm","B":"14 cm","C":"10 cm","D":"5 cm"},"correct_answer":"B"},
    {"id":115,"difficulty":"easy","question":"What is the area of parallelogram with base 22 cm and height 4 cm?","options":{"A":"44 cm²","B":"88 cm²","C":"176 cm²","D":"11 cm²"},"correct_answer":"B"},
    {"id":116,"difficulty":"easy","question":"Triangle has base 26 cm and height 5 cm. Find its area.","options":{"A":"65 cm²","B":"130 cm²","C":"260 cm²","D":"52 cm²"},"correct_answer":"A"},
    {"id":117,"difficulty":"easy","question":"Area of parallelogram is 132 cm² and base is 12 cm. Height = ?","options":{"A":"9 cm","B":"10 cm","C":"11 cm","D":"12 cm"},"correct_answer":"C"},
    {"id":118,"difficulty":"easy","question":"Find area of triangle with base 15 cm and height 8 cm.","options":{"A":"60 cm²","B":"120 cm²","C":"240 cm²","D":"30 cm²"},"correct_answer":"A"},
    {"id":119,"difficulty":"easy","question":"If base and height of a triangle are doubled, area becomes:","options":{"A":"2 times","B":"3 times","C":"4 times","D":"8 times"},"correct_answer":"C"},
    {"id":120,"difficulty":"easy","question":"Area of parallelogram with height 6 cm and base 18 cm is:","options":{"A":"54 cm²","B":"108 cm²","C":"216 cm²","D":"36 cm²"},"correct_answer":"B"},

    {"id":121,"difficulty":"medium","question":"Area of triangle is 90 cm². If height is 9 cm, find base.","options":{"A":"10 cm","B":"15 cm","C":"20 cm","D":"25 cm"},"correct_answer":"C"},
    {"id":122,"difficulty":"medium","question":"Parallelogram has area 180 cm². If base is 20 cm, height is:","options":{"A":"7 cm","B":"8 cm","C":"9 cm","D":"10 cm"},"correct_answer":"C"},
    {"id":123,"difficulty":"medium","question":"Right triangle has base 12 cm and height 15 cm. Find its area.","options":{"A":"90 cm²","B":"180 cm²","C":"360 cm²","D":"45 cm²"},"correct_answer":"A"},
    {"id":124,"difficulty":"medium","question":"Two triangles have equal bases and heights in ratio 2:3. Ratio of their areas is:","options":{"A":"2:3","B":"3:2","C":"4:9","D":"1:1"},"correct_answer":"C"},
    {"id":125,"difficulty":"medium","question":"Parallelogram area is 240 cm². Height is 12 cm. Find base.","options":{"A":"18 cm","B":"20 cm","C":"22 cm","D":"24 cm"},"correct_answer":"B"},
    {"id":126,"difficulty":"medium","question":"Triangle area is 210 cm² and base is 30 cm. Height is:","options":{"A":"7 cm","B":"10 cm","C":"14 cm","D":"21 cm"},"correct_answer":"C"},
    {"id":127,"difficulty":"medium","question":"If base of parallelogram is doubled and height remains same, area becomes:","options":{"A":"Same","B":"Double","C":"Half","D":"Four times"},"correct_answer":"B"},
    {"id":128,"difficulty":"medium","question":"Triangle has area 192 cm² and height 16 cm. Base is:","options":{"A":"12 cm","B":"16 cm","C":"24 cm","D":"32 cm"},"correct_answer":"C"},
    {"id":129,"difficulty":"medium","question":"Parallelogram area is 300 cm². Base:height = 5:3. Find height.","options":{"A":"10 cm","B":"12 cm","C":"15 cm","D":"18 cm"},"correct_answer":"B"},
    {"id":130,"difficulty":"medium","question":"Area of triangle is ½ of parallelogram area 256 cm² with same base and height. Triangle area is:","options":{"A":"64 cm²","B":"96 cm²","C":"128 cm²","D":"256 cm²"},"correct_answer":"C"},
{"id":131,"difficulty":"hard","question":"Triangle and parallelogram have equal areas. Triangle height is 18 cm and parallelogram height is 12 cm. If parallelogram base is 15 cm, find triangle base.","options":{"A":"10 cm","B":"15 cm","C":"20 cm","D":"30 cm"},"correct_answer":"C"},
    {"id":132,"difficulty":"hard","question":"Area of parallelogram is 360 cm². If base increases by 25% and height decreases by 20%, new area is:","options":{"A":"288 cm²","B":"300 cm²","C":"360 cm²","D":"450 cm²"},"correct_answer":"C"},
    {"id":133,"difficulty":"hard","question":"Triangle area is 300 cm². Base is 20% more than height. Find height.","options":{"A":"15 cm","B":"20 cm","C":"25 cm","D":"30 cm"},"correct_answer":"C"},
    {"id":134,"difficulty":"hard","question":"Parallelogram area is 420 cm². Height is 7 cm less than base. Find base.","options":{"A":"20 cm","B":"21 cm","C":"28 cm","D":"35 cm"},"correct_answer":"C"},
    {"id":135,"difficulty":"hard","question":"Two triangles have equal areas. One has base 24 cm and height 10 cm. Other has height 12 cm. Find its base.","options":{"A":"16 cm","B":"18 cm","C":"20 cm","D":"24 cm"},"correct_answer":"B"},
    {"id":136,"difficulty":"hard","question":"Parallelogram area is 512 cm². If height is 16 cm, find base.","options":{"A":"24 cm","B":"28 cm","C":"32 cm","D":"36 cm"},"correct_answer":"C"},
    {"id":137,"difficulty":"hard","question":"Triangle area is 392 cm². Height is 14 cm. Find base.","options":{"A":"28 cm","B":"42 cm","C":"56 cm","D":"14 cm"},"correct_answer":"B"},
    {"id":138,"difficulty":"hard","question":"If base of triangle increases by 50% and height decreases by 20%, area becomes:","options":{"A":"Same","B":"20% more","C":"10% more","D":"25% more"},"correct_answer":"C"},
    {"id":139,"difficulty":"hard","question":"Parallelogram area is 675 cm². Base is 27 cm. Height is:","options":{"A":"20 cm","B":"22 cm","C":"25 cm","D":"30 cm"},"correct_answer":"C"},
    {"id":140,"difficulty":"hard","question":"Triangle area is 540 cm². Height is twice the base. Find base.","options":{"A":"15 cm","B":"18 cm","C":"20 cm","D":"24 cm"},"correct_answer":"B"},
    {"id":141,"difficulty":"hard","question":"Two parallelograms have equal heights. Their bases are in ratio 4:7. Ratio of areas is:","options":{"A":"4:7","B":"7:4","C":"16:49","D":"1:1"},"correct_answer":"A"},
    {"id":142,"difficulty":"hard","question":"Parallelogram area is 882 cm². If height is 21 cm, find base.","options":{"A":"40 cm","B":"42 cm","C":"44 cm","D":"46 cm"},"correct_answer":"B"},
    {"id":143,"difficulty":"hard","question":"Triangle area is 864 cm². If base and height are in ratio 3:4, find height.","options":{"A":"18 cm","B":"24 cm","C":"32 cm","D":"36 cm"},"correct_answer":"D"},
    {"id":144,"difficulty":"hard","question":"If parallelogram base decreases by 10% and height increases by 20%, area changes by:","options":{"A":"+8%","B":"+10%","C":"+12%","D":"+20%"},"correct_answer":"A"},
    {"id":145,"difficulty":"hard","question":"Triangle area is 980 cm². Base is 35 cm. Height is:","options":{"A":"28 cm","B":"30 cm","C":"56 cm","D":"70 cm"},"correct_answer":"A"},
    {"id":146,"difficulty":"hard","question":"Parallelogram area is 1152 cm². Height is 24 cm. Find base.","options":{"A":"42 cm","B":"48 cm","C":"52 cm","D":"60 cm"},"correct_answer":"B"},
    {"id":147,"difficulty":"hard","question":"Two triangles have equal heights. Area ratio is 5:8. Ratio of bases is:","options":{"A":"5:8","B":"8:5","C":"25:64","D":"64:25"},"correct_answer":"A"},
    {"id":148,"difficulty":"hard","question":"Triangle area is 1250 cm². Height is 50 cm. Find base.","options":{"A":"40 cm","B":"45 cm","C":"50 cm","D":"60 cm"},"correct_answer":"C"},
    {"id":149,"difficulty":"hard","question":"Parallelogram area changes from 600 cm² to 720 cm² when height increases by 20%. Find original height if base was 30 cm.","options":{"A":"16 cm","B":"18 cm","C":"20 cm","D":"24 cm"},"correct_answer":"C"},
    {"id":150,"difficulty":"hard","question":"Triangle area is 1458 cm². If height is 27 cm, find base.","options":{"A":"54 cm","B":"72 cm","C":"108 cm","D":"162 cm"},"correct_answer":"B"}
 ]
}