{
  "title": "Properties of Rectangle - Grade 8 CBSE",
  "total_questions": 100,
  "questions": [
    {"id": 1, "difficulty": "easy", "question": "All angles in rectangle are:", "options": {"A": "Acute", "B": "Obtuse", "C": "Right angles", "D": "Equal but not right"}, "correct_answer": "C"},
    {"id": 2, "difficulty": "easy", "question": "Opposite sides of rectangle are:", "options": {"A": "Equal and parallel", "B": "Equal but not parallel", "C": "Parallel but not equal", "D": "Neither equal nor parallel"}, "correct_answer": "A"},
    {"id": 3, "difficulty": "easy", "question": "Diagonals of rectangle:", "options": {"A": "Are equal", "B": "Bisect each other", "C": "Both A and B", "D": "Are perpendicular"}, "correct_answer": "C"},
    {"id": 4, "difficulty": "easy", "question": "If one angle of rectangle is 90°, other three angles are:", "options": {"A": "45° each", "B": "90° each", "C": "60° each", "D": "120° each"}, "correct_answer": "B"},
    {"id": 5, "difficulty": "easy", "question": "Rectangle is a special type of:", "options": {"A": "Square", "B": "Parallelogram", "C": "Rhombus", "D": "Trapezium"}, "correct_answer": "B"},
    {"id": 6, "difficulty": "easy", "question": "Perimeter of rectangle = 2×(___ + ___)", "options": {"A": "length + width", "B": "diagonal + side", "C": "base + height", "D": "adjacent sides"}, "correct_answer": "A"},
    {"id": 7, "difficulty": "easy", "question": "Area of rectangle = length × ?", "options": {"A": "height", "B": "width", "C": "diagonal", "D": "perimeter"}, "correct_answer": "B"},
    {"id": 8, "difficulty": "easy", "question": "If length of rectangle is 8 cm and width is 5 cm, area is:", "options": {"A": "13 cm²", "B": "26 cm²", "C": "40 cm²", "D": "80 cm²"}, "correct_answer": "C"},
    {"id": 9, "difficulty": "easy", "question": "Diagonal of rectangle divides it into two:", "options": {"A": "Isosceles triangles", "B": "Right triangles", "C": "Congruent right triangles", "D": "Equilateral triangles"}, "correct_answer": "C"},
    {"id": 10, "difficulty": "easy", "question": "If rectangle has length 6 cm and width 4 cm, perimeter is:", "options": {"A": "10 cm", "B": "16 cm", "C": "20 cm", "D": "24 cm"}, "correct_answer": "C"},
    {"id": 11, "difficulty": "easy", "question": "All sides of rectangle are equal. It is called:", "options": {"A": "Square", "B": "Rhombus", "C": "Parallelogram", "D": "Trapezium"}, "correct_answer": "A"},
    {"id": 12, "difficulty": "easy", "question": "If diagonals of parallelogram are equal, it is:", "options": {"A": "Rectangle", "B": "Square", "C": "Rhombus", "D": "Either A or B"}, "correct_answer": "D"},
    {"id": 13, "difficulty": "easy", "question": "Diagonals of rectangle intersect at:", "options": {"A": "Right angles", "B": "Their midpoints", "C": "Vertices", "D": "Endpoints"}, "correct_answer": "B"},
    {"id": 14, "difficulty": "easy", "question": "If length is twice width in rectangle, and width is 3 cm, length is:", "options": {"A": "4 cm", "B": "5 cm", "C": "6 cm", "D": "7 cm"}, "correct_answer": "C"},
    {"id": 15, "difficulty": "easy", "question": "Number of lines of symmetry in rectangle:", "options": {"A": "1", "B": "2", "C": "3", "D": "4"}, "correct_answer": "B"},
    {"id": 16, "difficulty": "easy", "question": "If rectangle has area 24 cm² and length 6 cm, width is:", "options": {"A": "3 cm", "B": "4 cm", "C": "5 cm", "D": "6 cm"}, "correct_answer": "B"},
    {"id": 17, "difficulty": "easy", "question": "Rectangle with all sides equal becomes:", "options": {"A": "Rhombus", "B": "Square", "C": "Parallelogram", "D": "Trapezium"}, "correct_answer": "B"},
    {"id": 18, "difficulty": "easy", "question": "If perimeter of rectangle is 30 cm and length is 9 cm, width is:", "options": {"A": "5 cm", "B": "6 cm", "C": "7 cm", "D": "8 cm"}, "correct_answer": "B"},
    {"id": 19, "difficulty": "easy", "question": "Diagonals of rectangle are not:", "options": {"A": "Equal", "B": "Bisectors", "C": "Perpendicular", "D": "Congruent"}, "correct_answer": "C"},
    {"id": 20, "difficulty": "easy", "question": "Rectangle has ___ pairs of parallel sides.", "options": {"A": "1", "B": "2", "C": "3", "D": "4"}, "correct_answer": "B"},

    {"id": 21, "difficulty": "medium", "question": "Length of diagonal of rectangle with sides 6 cm and 8 cm is:", "options": {"A": "9 cm", "B": "10 cm", "C": "12 cm", "D": "14 cm"}, "correct_answer": "B"},
    {"id": 22, "difficulty": "medium", "question": "If rectangle has perimeter 28 cm and diagonal 10 cm, its area is:", "options": {"A": "24 cm²", "B": "36 cm²", "C": "48 cm²", "D": "64 cm²"}, "correct_answer": "C"},
    {"id": 23, "difficulty": "medium", "question": "Rectangle and parallelogram have same base and area. Their heights are:", "options": {"A": "Equal", "B": "Rectangle's height more", "C": "Parallelogram's height more", "D": "Can't say"}, "correct_answer": "A"},
    {"id": 24, "difficulty": "medium", "question": "If rectangle's length is increased by 20% and width decreased by 20%, area:", "options": {"A": "Increases", "B": "Decreases", "C": "Remains same", "D": "Becomes double"}, "correct_answer": "B"},
    {"id": 25, "difficulty": "medium", "question": "Diagonals of rectangle ABCD intersect at O. If ∠AOB = 60° and AB = 6 cm, AC = ?", "options": {"A": "6 cm", "B": "8 cm", "C": "10 cm", "D": "12 cm"}, "correct_answer": "D"},
    {"id": 26, "difficulty": "medium", "question": "If rectangle has area 48 cm² and sides are in ratio 3:4, longer side is:", "options": {"A": "6 cm", "B": "8 cm", "C": "10 cm", "D": "12 cm"}, "correct_answer": "B"},
    {"id": 27, "difficulty": "medium", "question": "Perimeter of rectangle is 40 cm. If length is 4 cm more than width, area is:", "options": {"A": "64 cm²", "B": "84 cm²", "C": "96 cm²", "D": "100 cm²"}, "correct_answer": "C"},
    {"id": 28, "difficulty": "medium", "question": "If rectangle's diagonal is 13 cm and width is 5 cm, length is:", "options": {"A": "8 cm", "B": "10 cm", "C": "12 cm", "D": "14 cm"}, "correct_answer": "C"},
    {"id": 29, "difficulty": "medium", "question": "Rectangle has vertices (0,0), (5,0), (5,3), (0,3). Its diagonal length is:", "options": {"A": "√34", "B": "√35", "C": "√36", "D": "√37"}, "correct_answer": "A"},
    {"id": 30, "difficulty": "medium", "question": "If area of rectangle is 72 cm² and perimeter is 36 cm, dimensions are:", "options": {"A": "6,12", "B": "8,9", "C": "7,10", "D": "5,14"}, "correct_answer": "A"},
    {"id": 31, "difficulty": "medium", "question": "Rectangle's length is twice its width. If perimeter is 30 cm, area is:", "options": {"A": "25 cm²", "B": "36 cm²", "C": "48 cm²", "D": "50 cm²"}, "correct_answer": "D"},
    {"id": 32, "difficulty": "medium", "question": "Diagonals of rectangle are equal and bisect each other at right angles only when rectangle is:", "options": {"A": "Square", "B": "Rhombus", "C": "Parallelogram", "D": "Any rectangle"}, "correct_answer": "A"},
    {"id": 33, "difficulty": "medium", "question": "If rectangle is divided into two congruent right triangles by a diagonal, area of each triangle is:", "options": {"A": "Half rectangle area", "B": "Equal to rectangle area", "C": "Twice rectangle area", "D": "One-fourth rectangle area"}, "correct_answer": "A"},
    {"id": 34, "difficulty": "medium", "question": "Rectangle PQRS has PQ=12 cm, QR=5 cm. Length of diagonal PR is:", "options": {"A": "13 cm", "B": "14 cm", "C": "15 cm", "D": "16 cm"}, "correct_answer": "A"},
    {"id": 35, "difficulty": "medium", "question": "If length of rectangle is increased by 10% and width decreased by 10%, area changes by:", "options": {"A": "+1%", "B": "-1%", "C": "0%", "D": "-10%"}, "correct_answer": "B"},
    {"id": 36, "difficulty": "medium", "question": "Rectangle has perimeter 24 cm. Maximum possible area is when it is:", "options": {"A": "Long and thin", "B": "Square", "C": "Width=1 cm", "D": "Length=10 cm"}, "correct_answer": "B"},
    {"id": 37, "difficulty": "medium", "question": "If midpoints of sides of rectangle are joined, resulting quadrilateral is:", "options": {"A": "Square", "B": "Rectangle", "C": "Rhombus", "D": "Parallelogram"}, "correct_answer": "C"},
    {"id": 38, "difficulty": "medium", "question": "Diagonal of rectangle forms 30° with one side. If diagonal is 10 cm, area is:", "options": {"A": "25√3 cm²", "B": "30√3 cm²", "C": "40√3 cm²", "D": "50√3 cm²"}, "correct_answer": "A"},
    {"id": 39, "difficulty": "medium", "question": "Rectangle has area 60 cm². If sides are integers, how many different rectangles possible?", "options": {"A": "4", "B": "6", "C": "8", "D": "10"}, "correct_answer": "B"},
    {"id": 40, "difficulty": "medium", "question": "If rectangle's length and width are increased by 2 cm each, area increases by 40 cm². If original perimeter was 20 cm, original area was:", "options": {"A": "15 cm²", "B": "20 cm²", "C": "24 cm²", "D": "30 cm²"}, "correct_answer": "C"},
    {"id": 41, "difficulty": "medium", "question": "Rectangle ABCD has AB=8 cm, BC=6 cm. Distance from A to diagonal BD is:", "options": {"A": "3.6 cm", "B": "4.2 cm", "C": "4.8 cm", "D": "5.4 cm"}, "correct_answer": "C"},
    {"id": 42, "difficulty": "medium", "question": "If rectangle is rotated about its center by 90°, it coincides with itself:", "options": {"A": "Always", "B": "Never", "C": "Only if square", "D": "Only if length=width"}, "correct_answer": "C"},
    {"id": 43, "difficulty": "medium", "question": "Rectangle with vertices (1,1), (5,1), (5,4), (1,4) has area:", "options": {"A": "8", "B": "10", "C": "12", "D": "14"}, "correct_answer": "C"},
    {"id": 44, "difficulty": "medium", "question": "If diagonal of rectangle is 15 cm and one side is 9 cm, other side is:", "options": {"A": "10 cm", "B": "11 cm", "C": "12 cm", "D": "13 cm"}, "correct_answer": "C"},
    {"id": 45, "difficulty": "medium", "question": "Perimeter of rectangle is 32 cm. Ratio of sides is 3:5. Area is:", "options": {"A": "30 cm²", "B": "45 cm²", "C": "60 cm²", "D": "75 cm²"}, "correct_answer": "C"},
    {"id": 46, "difficulty": "medium", "question": "Rectangle has same perimeter as square of side 10 cm. If rectangle's width is 8 cm, its area is:", "options": {"A": "64 cm²", "B": "80 cm²", "C": "96 cm²", "D": "100 cm²"}, "correct_answer": "C"},
    {"id": 47, "difficulty": "medium", "question": "If rectangle's area increases by 44% when length increases by 20%, width increases by:", "options": {"A": "10%", "B": "15%", "C": "20%", "D": "25%"}, "correct_answer": "C"},
    {"id": 48, "difficulty": "medium", "question": "Diagonal of rectangle makes angle of 45° with one side. Ratio of sides is:", "options": {"A": "1:1", "B": "1:2", "C": "2:1", "D": "√2:1"}, "correct_answer": "A"},
    {"id": 49, "difficulty": "medium", "question": "Rectangle has area 48 cm². If length is increased by 25% and width decreased by 20%, new area is:", "options": {"A": "44 cm²", "B": "46 cm²", "C": "48 cm²", "D": "50 cm²"}, "correct_answer": "C"},
    {"id": 50, "difficulty": "medium", "question": "If rectangle's diagonal is 10√2 cm and it is square, side is:", "options": {"A": "5 cm", "B": "8 cm", "C": "10 cm", "D": "12 cm"}, "correct_answer": "C"},
    {"id": 51, "difficulty": "medium", "question": "Rectangle PQRS has diagonals intersecting at O. If PO=5x-3, OR=2x+9, find x.", "options": {"A": "2", "B": "3", "C": "4", "D": "5"}, "correct_answer": "C"},
    {"id": 52, "difficulty": "medium", "question": "Area of rectangle is 54 cm². If length is 3 cm more than width, perimeter is:", "options": {"A": "24 cm", "B": "28 cm", "C": "30 cm", "D": "32 cm"}, "correct_answer": "C"},
    {"id": 53, "difficulty": "medium", "question": "If rectangle is divided into four smaller equal rectangles by lines parallel to sides, each small rectangle has area:", "options": {"A": "1/2 original", "B": "1/3 original", "C": "1/4 original", "D": "1/5 original"}, "correct_answer": "C"},
    {"id": 54, "difficulty": "medium", "question": "Rectangle's length is 50% more than width. If perimeter is 50 cm, area is:", "options": {"A": "100 cm²", "B": "125 cm²", "C": "150 cm²", "D": "175 cm²"}, "correct_answer": "C"},
    {"id": 55, "difficulty": "medium", "question": "If rectangle's sides are increased by 1 cm each, area increases by 21 cm². If original perimeter was 18 cm, original area was:", "options": {"A": "12 cm²", "B": "14 cm²", "C": "16 cm²", "D": "18 cm²"}, "correct_answer": "D"},
    {"id": 56, "difficulty": "medium", "question": "Diagonal of rectangle is 17 cm. If one side is 8 cm, other side is:", "options": {"A": "12 cm", "B": "13 cm", "C": "14 cm", "D": "15 cm"}, "correct_answer": "D"},
    {"id": 57, "difficulty": "medium", "question": "Rectangle has same area as square of side 12 cm. If rectangle's width is 9 cm, length is:", "options": {"A": "14 cm", "B": "15 cm", "C": "16 cm", "D": "18 cm"}, "correct_answer": "C"},
    {"id": 58, "difficulty": "medium", "question": "If rectangle's length is reduced by 20% and width increased by 20%, area:", "options": {"A": "Increases by 4%", "B": "Decreases by 4%", "C": "Remains same", "D": "Decreases by 8%"}, "correct_answer": "B"},
    {"id": 59, "difficulty": "medium", "question": "Rectangle ABCD has AB=15 cm, BC=8 cm. Distance from A to diagonal BD is:", "options": {"A": "6.4 cm", "B": "7.2 cm", "C": "8.0 cm", "D": "9.6 cm"}, "correct_answer": "B"},
    {"id": 60, "difficulty": "medium", "question": "If midpoints of rectangle's sides are joined to vertices, how many rectangles formed?", "options": {"A": "4", "B": "6", "C": "8", "D": "10"}, "correct_answer": "C"},
    {"id": 61, "difficulty": "medium", "question": "Perimeter of rectangle is 28 cm. Difference between length and width is 2 cm. Area is:", "options": {"A": "36 cm²", "B": "40 cm²", "C": "45 cm²", "D": "48 cm²"}, "correct_answer": "D"},
    {"id": 62, "difficulty": "medium", "question": "Diagonal of rectangle makes 30° with base. If diagonal is 12 cm, height is:", "options": {"A": "4 cm", "B": "5 cm", "C": "6 cm", "D": "7 cm"}, "correct_answer": "C"},
    {"id": 63, "difficulty": "medium", "question": "Rectangle has area 120 cm². If sides are in ratio 3:10, perimeter is:", "options": {"A": "36 cm", "B": "44 cm", "C": "52 cm", "D": "60 cm"}, "correct_answer": "C"},
    {"id": 64, "difficulty": "medium", "question": "If rectangle's length and width are doubled, area becomes:", "options": {"A": "2 times", "B": "3 times", "C": "4 times", "D": "8 times"}, "correct_answer": "C"},
    {"id": 65, "difficulty": "medium", "question": "Rectangle PQRS has PQ=2x+3, QR=3x-1. If perimeter is 34 cm, find x.", "options": {"A": "2", "B": "3", "C": "4", "D": "5"}, "correct_answer": "B"},
    {"id": 66, "difficulty": "medium", "question": "Area of rectangle is 84 cm². If length is 5 cm more than width, dimensions are:", "options": {"A": "7,12", "B": "8,13", "C": "9,14", "D": "10,15"}, "correct_answer": "A"},
    {"id": 67, "difficulty": "medium", "question": "If rectangle's diagonal is 10 cm and makes 45° with side, area is:", "options": {"A": "25 cm²", "B": "30 cm²", "C": "40 cm²", "D": "50 cm²"}, "correct_answer": "D"},
    {"id": 68, "difficulty": "medium", "question": "Rectangle has vertices (2,3), (8,3), (8,7), (2,7). Its perimeter is:", "options": {"A": "16", "B": "20", "C": "24", "D": "28"}, "correct_answer": "B"},
    {"id": 69, "difficulty": "medium", "question": "If rectangle is divided into two equal parts by line parallel to width, each part has area:", "options": {"A": "Half", "B": "One-third", "C": "One-fourth", "D": "Same"}, "correct_answer": "A"},
    {"id": 70, "difficulty": "medium", "question": "Rectangle's length is 3 times width. If perimeter is 48 cm, area is:", "options": {"A": "108 cm²", "B": "120 cm²", "C": "132 cm²", "D": "144 cm²"}, "correct_answer": "A"},
    {"id": 71, "difficulty": "medium", "question": "Diagonal of rectangle is 13 cm. If perimeter is 34 cm, area is:", "options": {"A": "30 cm²", "B": "40 cm²", "C": "50 cm²", "D": "60 cm²"}, "correct_answer": "D"},
    {"id": 72, "difficulty": "medium", "question": "If rectangle's area increases by 69% when both dimensions increase by same %, increase is:", "options": {"A": "20%", "B": "25%", "C": "30%", "D": "35%"}, "correct_answer": "C"},
    {"id": 73, "difficulty": "medium", "question": "Rectangle has same perimeter as square of area 49 cm². If rectangle's width is 5 cm, length is:", "options": {"A": "7 cm", "B": "8 cm", "C": "9 cm", "D": "10 cm"}, "correct_answer": "C"},
    {"id": 74, "difficulty": "medium", "question": "Diagonal of rectangle makes angle θ with length. If length=12, width=5, tanθ=", "options": {"A": "5/12", "B": "12/5", "C": "5/13", "D": "12/13"}, "correct_answer": "A"},
    {"id": 75, "difficulty": "medium", "question": "If rectangle's length is decreased by 10% and width increased by 10%, area:", "options": {"A": "Increases by 1%", "B": "Decreases by 1%", "C": "Decreases by 2%", "D": "Remains same"}, "correct_answer": "B"},
    {"id": 76, "difficulty": "medium", "question": "Rectangle ABCD has AB=24 cm, BC=10 cm. Distance from center to any vertex is:", "options": {"A": "12 cm", "B": "13 cm", "C": "14 cm", "D": "15 cm"}, "correct_answer": "B"},
    {"id": 77, "difficulty": "medium", "question": "Area of rectangle is 48 cm². If sides are integers and perimeter is minimum, dimensions are:", "options": {"A": "4,12", "B": "6,8", "C": "3,16", "D": "2,24"}, "correct_answer": "B"},
    {"id": 78, "difficulty": "medium", "question": "If rectangle is divided into three equal parts by lines parallel to width, each part has area:", "options": {"A": "1/2", "B": "1/3", "C": "1/4", "D": "1/5"}, "correct_answer": "B"},
    {"id": 79, "difficulty": "medium", "question": "Rectangle's diagonal is 15 cm. If sides are in ratio 4:3, area is:", "options": {"A": "54 cm²", "B": "72 cm²", "C": "96 cm²", "D": "108 cm²"}, "correct_answer": "D"},
    {"id": 80, "difficulty": "medium", "question": "If rectangle has area 96 cm² and perimeter 40 cm, diagonal is:", "options": {"A": "12 cm", "B": "14 cm", "C": "16 cm", "D": "18 cm"}, "correct_answer": "B"},

    {"id": 81, "difficulty": "hard", "question": "Rectangle has perimeter P and area A. If P=2A, then rectangle must be:", "options": {"A": "Square", "B": "Length=2×width", "C": "Length=3×width", "D": "Such rectangle doesn't exist"}, "correct_answer": "D"},
    {"id": 82, "difficulty": "hard", "question": "If rectangle's vertices are (0,0), (a,0), (a,b), (0,b), distance from origin to diagonal is:", "options": {"A": "ab/√(a²+b²)", "B": "a+b/√(a²+b²)", "C": "|ab|/√(a²+b²)", "D": "√(a²+b²)/2"}, "correct_answer": "A"},
    {"id": 83, "difficulty": "hard", "question": "Rectangle is inscribed in circle of radius 5 cm. Maximum possible area of rectangle is:", "options": {"A": "25 cm²", "B": "40 cm²", "C": "50 cm²", "D": "100 cm²"}, "correct_answer": "C"},
    {"id": 84, "difficulty": "hard", "question": "If rectangle is divided by its diagonals, sum of areas of four triangles equals:", "options": {"A": "Rectangle area", "B": "Half rectangle area", "C": "Twice rectangle area", "D": "Diagonal product"}, "correct_answer": "A"},
    {"id": 85, "difficulty": "hard", "question": "Rectangle has area 60 cm². If length increased by 3 cm and width decreased by 1 cm, area increases by 3 cm². Original perimeter is:", "options": {"A": "24 cm", "B": "28 cm", "C": "32 cm", "D": "36 cm"}, "correct_answer": "C"},
    {"id": 86, "difficulty": "hard", "question": "Diagonal of rectangle is 10 cm. If one side is 6 cm, distance from opposite vertex to this diagonal is:", "options": {"A": "3.6 cm", "B": "4.2 cm", "C": "4.8 cm", "D": "5.4 cm"}, "correct_answer": "C"},
    {"id": 87, "difficulty": "hard", "question": "Rectangle PQRS has PQ=15, QR=20. Point T on PS such that PT:TS=2:3. Area ΔQRT is:", "options": {"A": "60", "B": "75", "C": "90", "D": "120"}, "correct_answer": "C"},
    {"id": 88, "difficulty": "hard", "question": "If rectangle's length is increased by 10 cm and width decreased by 5 cm, area decreases by 50 cm². If length decreased by 5 cm and width increased by 10 cm, area increases by 50 cm². Original area is:", "options": {"A": "200 cm²", "B": "250 cm²", "C": "300 cm²", "D": "350 cm²"}, "correct_answer": "C"},
    {"id": 89, "difficulty": "hard", "question": "Rectangle has vertices A(0,0), B(8,0), C(8,6), D(0,6). Distance from (0,0) to line joining midpoints of AB and CD is:", "options": {"A": "2", "B": "3", "C": "4", "D": "5"}, "correct_answer": "B"},
    {"id": 90, "difficulty": "hard", "question": "Maximum number of rectangles formed by joining vertices of n×n grid:", "options": {"A": "n²(n²-1)/4", "B": "n(n+1)(2n+1)/6", "C": "C(n²,2)", "D": "C(n+1,2)²"}, "correct_answer": "D"},
    {"id": 91, "difficulty": "hard", "question": "Rectangle has area 48 cm². If sides are in arithmetic progression with common difference 2, sides are:", "options": {"A": "4,12", "B": "6,8", "C": "5,11", "D": "7,9"}, "correct_answer": "B"},
    {"id": 92, "difficulty": "hard", "question": "If rectangle is rotated about its center, minimum angle for it to look same is:", "options": {"A": "90°", "B": "120°", "C": "180°", "D": "360°"}, "correct_answer": "C"},
    {"id": 93, "difficulty": "hard", "question": "Rectangle ABCD has AB=12, BC=5. E is point on CD such that CE=3. Area ΔABE is:", "options": {"A": "18", "B": "24", "C": "30", "D": "36"}, "correct_answer": "C"},
    {"id": 94, "difficulty": "hard", "question": "If rectangle's diagonal makes angles α and β with sides, then:", "options": {"A": "α+β=45°", "B": "α+β=90°", "C": "tanα×tanβ=1", "D": "sinα=cosβ"}, "correct_answer": "B"},
    {"id": 95, "difficulty": "hard", "question": "Rectangle has perimeter 20 cm. Maximum possible area is:", "options": {"A": "20 cm²", "B": "25 cm²", "C": "30 cm²", "D": "36 cm²"}, "correct_answer": "B"},
    {"id": 96, "difficulty": "hard", "question": "If rectangle is divided into two congruent right triangles by diagonal, and one triangle has area 24 cm², diagonal length is 10 cm, sides are:", "options": {"A": "6,8", "B": "5,9.6", "C": "4.8,10", "D": "7,√51"}, "correct_answer": "A"},
    {"id": 97, "difficulty": "hard", "question": "Rectangle PQRS has PQ=2l, QR=2w. Distance from center to side PQ is:", "options": {"A": "l", "B": "w", "C": "√(l²+w²)", "D": "lw/√(l²+w²)"}, "correct_answer": "B"},
    {"id": 98, "difficulty": "hard", "question": "If rectangle's area is numerically equal to its perimeter (in cm), and length=6 cm, width is:", "options": {"A": "2 cm", "B": "2.4 cm", "C": "3 cm", "D": "3.6 cm"}, "correct_answer": "C"},
    {"id": 99, "difficulty": "hard", "question": "Rectangle has vertices (1,2), (5,2), (5,6), (1,6). Number of lattice points inside is:", "options": {"A": "3", "B": "5", "C": "7", "D": "9"}, "correct_answer": "B"},
    {"id": 100, "difficulty": "hard", "question": "If rectangle is scaled by factor k, area becomes:", "options": {"A": "k times", "B": "k² times", "C": "2k times", "D": "√k times"}, "correct_answer": "B"}
  ]
}