{
  "title": "Applications and Word Problems (Linear Equations) - Grade 8 CBSE",
  "total_questions": 100,
  "questions": [
    {"id": 1, "difficulty": "easy", "question": "The sum of two numbers is 15. If one number is 7, what is the other number?", "options": {"A": "6", "B": "8", "C": "9", "D": "10"}, "correct_answer": "B"},
    {"id": 2, "difficulty": "easy", "question": "Twice a number increased by 5 gives 17. What is the number?", "options": {"A": "5", "B": "6", "C": "7", "D": "8"}, "correct_answer": "B"},
    {"id": 3, "difficulty": "easy", "question": "If 5 times a number is 45, what is the number?", "options": {"A": "7", "B": "8", "C": "9", "D": "10"}, "correct_answer": "C"},
    {"id": 4, "difficulty": "easy", "question": "The perimeter of a square is 20 cm. What is the length of one side?", "options": {"A": "4 cm", "B": "5 cm", "C": "6 cm", "D": "7 cm"}, "correct_answer": "B"},
    {"id": 5, "difficulty": "easy", "question": "A number decreased by 12 equals 8. What is the number?", "options": {"A": "18", "B": "19", "C": "20", "D": "21"}, "correct_answer": "C"},
    {"id": 6, "difficulty": "easy", "question": "If the sum of three consecutive numbers is 33, what is the smallest number?", "options": {"A": "9", "B": "10", "C": "11", "D": "12"}, "correct_answer": "B"},
    {"id": 7, "difficulty": "easy", "question": "Rohan has 15 marbles. If he gives 7 to his friend, how many does he have left?", "options": {"A": "6", "B": "7", "C": "8", "D": "9"}, "correct_answer": "C"},
    {"id": 8, "difficulty": "easy", "question": "The age of a father is three times his son's age. If the son is 8 years old, how old is the father?", "options": {"A": "22 years", "B": "24 years", "C": "26 years", "D": "28 years"}, "correct_answer": "B"},
    {"id": 9, "difficulty": "easy", "question": "A pencil costs ₹5. How many pencils can you buy with ₹40?", "options": {"A": "6", "B": "7", "C": "8", "D": "9"}, "correct_answer": "C"},
    {"id": 10, "difficulty": "easy", "question": "The sum of a number and its half is 15. What is the number?", "options": {"A": "8", "B": "9", "C": "10", "D": "11"}, "correct_answer": "C"},
    {"id": 11, "difficulty": "easy", "question": "If 3 subtracted from twice a number gives 13, what is the number?", "options": {"A": "7", "B": "8", "C": "9", "D": "10"}, "correct_answer": "B"},
    {"id": 12, "difficulty": "easy", "question": "The cost of 2 notebooks is ₹30. What is the cost of one notebook?", "options": {"A": "₹12", "B": "₹13", "C": "₹14", "D": "₹15"}, "correct_answer": "D"},
    {"id": 13, "difficulty": "easy", "question": "A number divided by 4 gives 6. What is the number?", "options": {"A": "20", "B": "22", "C": "24", "D": "26"}, "correct_answer": "C"},
    {"id": 14, "difficulty": "easy", "question": "The sum of two consecutive even numbers is 34. What is the smaller number?", "options": {"A": "14", "B": "15", "C": "16", "D": "17"}, "correct_answer": "C"},
    {"id": 15, "difficulty": "easy", "question": "If 7 added to a number gives 22, what is the number?", "options": {"A": "13", "B": "14", "C": "15", "D": "16"}, "correct_answer": "C"},
    {"id": 16, "difficulty": "easy", "question": "The area of a rectangle is 24 sq cm. If length is 6 cm, what is the breadth?", "options": {"A": "3 cm", "B": "4 cm", "C": "5 cm", "D": "6 cm"}, "correct_answer": "B"},
    {"id": 17, "difficulty": "easy", "question": "A man has ₹100. After buying a book for ₹45, how much money is left?", "options": {"A": "₹50", "B": "₹55", "C": "₹60", "D": "₹65"}, "correct_answer": "B"},
    {"id": 18, "difficulty": "easy", "question": "One-fourth of a number is 5. What is the number?", "options": {"A": "18", "B": "19", "C": "20", "D": "21"}, "correct_answer": "C"},
    {"id": 19, "difficulty": "easy", "question": "The difference between two numbers is 8. If the smaller is 12, what is the larger?", "options": {"A": "18", "B": "19", "C": "20", "D": "21"}, "correct_answer": "C"},
    {"id": 20, "difficulty": "easy", "question": "If 6 times a number minus 4 equals 32, what is the number?", "options": {"A": "5", "B": "6", "C": "7", "D": "8"}, "correct_answer": "B"},
    {"id": 21, "difficulty": "medium", "question": "The sum of three consecutive odd numbers is 63. What is the middle number?", "options": {"A": "19", "B": "21", "C": "23", "D": "25"}, "correct_answer": "B"},
    {"id": 22, "difficulty": "medium", "question": "A man is 4 times as old as his son. After 5 years, he will be 3 times as old as his son. Find their present ages.", "options": {"A": "Son: 10 years, Father: 40 years", "B": "Son: 8 years, Father: 32 years", "C": "Son: 12 years, Father: 48 years", "D": "Son: 15 years, Father: 60 years"}, "correct_answer": "A"},
    {"id": 23, "difficulty": "medium", "question": "The numerator of a fraction is 4 less than the denominator. If 1 is added to both numerator and denominator, the fraction becomes 1/2. Find the fraction.", "options": {"A": "3/7", "B": "4/8", "C": "5/9", "D": "7/11"}, "correct_answer": "D"},
    {"id": 24, "difficulty": "medium", "question": "The length of a rectangle is 5 cm more than its breadth. If the perimeter is 38 cm, find the length and breadth.", "options": {"A": "Length: 10 cm, Breadth: 5 cm", "B": "Length: 12 cm, Breadth: 7 cm", "C": "Length: 14 cm, Breadth: 9 cm", "D": "Length: 16 cm, Breadth: 11 cm"}, "correct_answer": "B"},
    {"id": 25, "difficulty": "medium", "question": "A number consists of two digits whose sum is 9. If 27 is added to the number, its digits are reversed. Find the number.", "options": {"A": "36", "B": "45", "C": "54", "D": "63"}, "correct_answer": "A"},
    {"id": 26, "difficulty": "medium", "question": "The sum of two numbers is 95. If one exceeds the other by 15, find the numbers.", "options": {"A": "40 and 55", "B": "35 and 50", "C": "45 and 60", "D": "50 and 65"}, "correct_answer": "A"},
    {"id": 27, "difficulty": "medium", "question": "The angles of a triangle are in the ratio 2:3:4. Find the largest angle.", "options": {"A": "60°", "B": "70°", "C": "80°", "D": "90°"}, "correct_answer": "C"},
    {"id": 28, "difficulty": "medium", "question": "A train covers a distance of 480 km at a uniform speed. If the speed had been 8 km/h less, it would have taken 3 hours more. Find the original speed.", "options": {"A": "36 km/h", "B": "40 km/h", "C": "44 km/h", "D": "48 km/h"}, "correct_answer": "B"},
    {"id": 29, "difficulty": "medium", "question": "Divide ₹1200 into two parts such that one part is 2/3 of the other.", "options": {"A": "₹480 and ₹720", "B": "₹500 and ₹700", "C": "₹450 and ₹750", "D": "₹400 and ₹800"}, "correct_answer": "A"},
    {"id": 30, "difficulty": "medium", "question": "The digit in the tens place of a two-digit number is three times the digit in the units place. If the digits are reversed, the new number is 36 less than the original number. Find the number.", "options": {"A": "31", "B": "62", "C": "93", "D": "42"}, "correct_answer": "B"},
    {"id": 31, "difficulty": "medium", "question": "The total cost of 3 tables and 2 chairs is ₹1850. If a table costs ₹75 more than a chair, find the cost of each.", "options": {"A": "Table: ₹400, Chair: ₹325", "B": "Table: ₹350, Chair: ₹275", "C": "Table: ₹450, Chair: ₹375", "D": "Table: ₹500, Chair: ₹425"}, "correct_answer": "A"},
    {"id": 32, "difficulty": "medium", "question": "One number is 5 times another number. If their sum is 72, find the numbers.", "options": {"A": "12 and 60", "B": "10 and 50", "C": "15 and 75", "D": "18 and 90"}, "correct_answer": "A"},
    {"id": 33, "difficulty": "medium", "question": "A father is 30 years older than his son. In 12 years, the father will be twice as old as his son. Find their present ages.", "options": {"A": "Son: 18 years, Father: 48 years", "B": "Son: 20 years, Father: 50 years", "C": "Son: 22 years, Father: 52 years", "D": "Son: 24 years, Father: 54 years"}, "correct_answer": "A"},
    {"id": 34, "difficulty": "medium", "question": "The perimeter of an isosceles triangle is 30 cm. Each equal side is 3 cm longer than the base. Find the length of the base.", "options": {"A": "6 cm", "B": "7 cm", "C": "8 cm", "D": "9 cm"}, "correct_answer": "C"},
    {"id": 35, "difficulty": "medium", "question": "The sum of two numbers is 50. Their difference is 10. Find the numbers.", "options": {"A": "20 and 30", "B": "25 and 35", "C": "15 and 25", "D": "30 and 40"}, "correct_answer": "A"},
    {"id": 36, "difficulty": "medium", "question": "A man sold an article for ₹990 and gained 10%. Find the cost price of the article.", "options": {"A": "₹850", "B": "₹880", "C": "₹900", "D": "₹950"}, "correct_answer": "C"},
    {"id": 37, "difficulty": "medium", "question": "Two-thirds of a number is greater than one-third of the number by 5. Find the number.", "options": {"A": "12", "B": "13", "C": "14", "D": "15"}, "correct_answer": "D"},
    {"id": 38, "difficulty": "medium", "question": "The sum of three consecutive multiples of 5 is 75. Find the smallest multiple.", "options": {"A": "15", "B": "20", "C": "25", "D": "30"}, "correct_answer": "B"},
    {"id": 39, "difficulty": "medium", "question": "A boat goes 24 km upstream and 28 km downstream in 6 hours. It goes 30 km upstream and 21 km downstream in 6.5 hours. Find the speed of the boat in still water.", "options": {"A": "8 km/h", "B": "9 km/h", "C": "10 km/h", "D": "11 km/h"}, "correct_answer": "C"},
    {"id": 40, "difficulty": "medium", "question": "The denominator of a fraction is 4 more than twice its numerator. If 1 is subtracted from both numerator and denominator, the fraction becomes 2/7. Find the fraction.", "options": {"A": "3/10", "B": "4/12", "C": "5/14", "D": "7/18"}, "correct_answer": "A"},
    {"id": 41, "difficulty": "medium", "question": "A number is divided into two parts such that one part is 10 more than the other. If the two parts are in the ratio 5:3, find the number.", "options": {"A": "40", "B": "50", "C": "60", "D": "70"}, "correct_answer": "A"},
    {"id": 42, "difficulty": "medium", "question": "The sum of the digits of a two-digit number is 8. If 18 is added to the number, its digits are reversed. Find the number.", "options": {"A": "26", "B": "35", "C": "44", "D": "53"}, "correct_answer": "B"},
    {"id": 43, "difficulty": "medium", "question": "The present ages of Rahul and Rohan are in the ratio 5:7. Four years later, their ages will be in the ratio 3:4. Find their present ages.", "options": {"A": "Rahul: 20 years, Rohan: 28 years", "B": "Rahul: 15 years, Rohan: 21 years", "C": "Rahul: 25 years, Rohan: 35 years", "D": "Rahul: 30 years, Rohan: 42 years"}, "correct_answer": "A"},
    {"id": 44, "difficulty": "medium", "question": "If 5 is added to twice a number, the result is 29. Find the number.", "options": {"A": "10", "B": "11", "C": "12", "D": "13"}, "correct_answer": "C"},
    {"id": 45, "difficulty": "medium", "question": "The difference between two positive numbers is 40. The ratio of these numbers is 2:3. Find the numbers.", "options": {"A": "60 and 100", "B": "70 and 110", "C": "80 and 120", "D": "90 and 130"}, "correct_answer": "C"},
    {"id": 46, "difficulty": "medium", "question": "A number is as much greater than 21 as it is less than 71. Find the number.", "options": {"A": "42", "B": "44", "C": "46", "D": "48"}, "correct_answer": "C"},
    {"id": 47, "difficulty": "medium", "question": "The length of a rectangle is twice its breadth. If the perimeter is 72 meters, find the area.", "options": {"A": "256 sq m", "B": "288 sq m", "C": "312 sq m", "D": "324 sq m"}, "correct_answer": "B"},
    {"id": 48, "difficulty": "medium", "question": "The sum of two numbers is 84. If one number is three times the other, find the numbers.", "options": {"A": "21 and 63", "B": "22 and 66", "C": "23 and 69", "D": "24 and 72"}, "correct_answer": "A"},
    {"id": 49, "difficulty": "medium", "question": "A man has ₹10,000. He invested part of it at 8% and the rest at 10%. If his total annual income is ₹860, how much did he invest at each rate?", "options": {"A": "₹7000 at 8%, ₹3000 at 10%", "B": "₹6000 at 8%, ₹4000 at 10%", "C": "₹5000 at 8%, ₹5000 at 10%", "D": "₹4000 at 8%, ₹6000 at 10%"}, "correct_answer": "A"},
    {"id": 50, "difficulty": "medium", "question": "The sum of four consecutive even numbers is 60. Find the largest number.", "options": {"A": "14", "B": "16", "C": "18", "D": "20"}, "correct_answer": "C"},
    {"id": 51, "difficulty": "medium", "question": "The total number of students in a class is 45. If the number of boys is 5 more than the number of girls, find the number of girls.", "options": {"A": "18", "B": "19", "C": "20", "D": "21"}, "correct_answer": "C"},
    {"id": 52, "difficulty": "medium", "question": "If 9 is subtracted from half of a number, the result is 15. Find the number.", "options": {"A": "46", "B": "47", "C": "48", "D": "49"}, "correct_answer": "C"},
    {"id": 53, "difficulty": "medium", "question": "The sum of three numbers is 98. The ratio of first to second is 2:3 and that of second to third is 5:8. Find the second number.", "options": {"A": "25", "B": "30", "C": "35", "D": "40"}, "correct_answer": "B"},
    {"id": 54, "difficulty": "medium", "question": "The cost of 5 pens and 3 pencils is ₹74. If a pen costs ₹4 more than a pencil, find the cost of a pen.", "options": {"A": "₹8", "B": "₹9", "C": "₹10", "D": "₹11"}, "correct_answer": "C"},
    {"id": 55, "difficulty": "medium", "question": "One angle of a triangle is 60°. The other two angles are in the ratio 2:3. Find the largest angle of the triangle.", "options": {"A": "70°", "B": "72°", "C": "75°", "D": "78°"}, "correct_answer": "B"},
    {"id": 56, "difficulty": "medium", "question": "The difference between two complementary angles is 20°. Find the angles.", "options": {"A": "35° and 55°", "B": "40° and 60°", "C": "45° and 65°", "D": "50° and 70°"}, "correct_answer": "A"},
    {"id": 57, "difficulty": "medium", "question": "A number when multiplied by 4 exceeds itself by 45. Find the number.", "options": {"A": "12", "B": "13", "C": "14", "D": "15"}, "correct_answer": "D"},
    {"id": 58, "difficulty": "medium", "question": "The sum of two numbers is 15 and their product is 56. Find the numbers.", "options": {"A": "6 and 9", "B": "7 and 8", "C": "5 and 10", "D": "4 and 11"}, "correct_answer": "B"},
    {"id": 59, "difficulty": "medium", "question": "The base of an isosceles triangle is 4/3 cm. The perimeter is 4 2/15 cm. What is the length of either of the remaining equal sides?", "options": {"A": "1 2/5 cm", "B": "1 3/5 cm", "C": "1 4/5 cm", "D": "2 cm"}, "correct_answer": "B"},
    {"id": 60, "difficulty": "medium", "question": "A man is 56 years old and his son is 24 years old. In how many years will the father be twice as old as his son?", "options": {"A": "6 years", "B": "7 years", "C": "8 years", "D": "9 years"}, "correct_answer": "C"},
    {"id": 61, "difficulty": "medium", "question": "The sum of two numbers is 80. If the larger number is 8 more than three times the smaller, find the numbers.", "options": {"A": "18 and 62", "B": "20 and 60", "C": "22 and 58", "D": "24 and 56"}, "correct_answer": "A"},
    {"id": 62, "difficulty": "medium", "question": "The digit in the units place of a two-digit number is 3 more than the digit in the tens place. The sum of the digits is 9. Find the number.", "options": {"A": "36", "B": "47", "C": "58", "D": "69"}, "correct_answer": "A"},
    {"id": 63, "difficulty": "medium", "question": "Find three consecutive integers such that the sum of the first and third is 76.", "options": {"A": "37, 38, 39", "B": "38, 39, 40", "C": "39, 40, 41", "D": "40, 41, 42"}, "correct_answer": "A"},
    {"id": 64, "difficulty": "medium", "question": "The ages of A and B are in the ratio 5:7. If B is 8 years older than A, find the age of A.", "options": {"A": "18 years", "B": "20 years", "C": "22 years", "D": "24 years"}, "correct_answer": "B"},
    {"id": 65, "difficulty": "medium", "question": "A train 300 m long is running at a speed of 54 km/h. How long will it take to cross a platform 200 m long?", "options": {"A": "30 seconds", "B": "33.33 seconds", "C": "36 seconds", "D": "40 seconds"}, "correct_answer": "B"},
    {"id": 66, "difficulty": "medium", "question": "The denominator of a fraction is 1 more than twice its numerator. If the sum of the fraction and its reciprocal is 2 1/6, find the fraction.", "options": {"A": "2/5", "B": "3/7", "C": "4/9", "D": "5/11"}, "correct_answer": "A"},
    {"id": 67, "difficulty": "medium", "question": "If 15 is added to a number, the result is 69. Find the number.", "options": {"A": "52", "B": "53", "C": "54", "D": "55"}, "correct_answer": "C"},
    {"id": 68, "difficulty": "medium", "question": "The total cost of 6 apples and 9 oranges is ₹78. If an apple costs ₹2 more than an orange, find the cost of an orange.", "options": {"A": "₹4", "B": "₹5", "C": "₹6", "D": "₹7"}, "correct_answer": "A"},
    {"id": 69, "difficulty": "medium", "question": "Two numbers differ by 40. When each number is increased by 8, the larger becomes thrice the smaller. Find the numbers.", "options": {"A": "48 and 88", "B": "50 and 90", "C": "52 and 92", "D": "54 and 94"}, "correct_answer": "A"},
    {"id": 70, "difficulty": "medium", "question": "The sum of two numbers is 2490. If 6.5% of one number is equal to 8.5% of the other, find the numbers.", "options": {"A": "1411 and 1079", "B": "1420 and 1070", "C": "1430 and 1060", "D": "1440 and 1050"}, "correct_answer": "A"},
    {"id": 71, "difficulty": "medium", "question": "The total cost of 10 erasers and 5 sharpeners is ₹65. If the cost of one sharpener is ₹1 more than that of one eraser, find the cost of each eraser.", "options": {"A": "₹3", "B": "₹4", "C": "₹5", "D": "₹6"}, "correct_answer": "B"},
    {"id": 72, "difficulty": "medium", "question": "The sum of the digits of a two-digit number is 12. If 18 is subtracted from the number, the digits are reversed. Find the number.", "options": {"A": "57", "B": "66", "C": "75", "D": "84"}, "correct_answer": "C"},
    {"id": 73, "difficulty": "medium", "question": "Divide 20 into two parts such that three times the smaller part is equal to two times the larger part.", "options": {"A": "8 and 12", "B": "9 and 11", "C": "10 and 10", "D": "7 and 13"}, "correct_answer": "A"},
    {"id": 74, "difficulty": "medium", "question": "The perimeter of a rectangular field is 82 m and its area is 400 sq m. Find the breadth of the rectangle.", "options": {"A": "16 m", "B": "17 m", "C": "18 m", "D": "19 m"}, "correct_answer": "A"},
    {"id": 75, "difficulty": "medium", "question": "One number is 3 less than another number. If their sum is 49, find the numbers.", "options": {"A": "23 and 26", "B": "24 and 27", "C": "25 and 28", "D": "26 and 29"}, "correct_answer": "A"},
    {"id": 76, "difficulty": "medium", "question": "The sum of two numbers is 35. One of them exceeds the other by 7. Find the numbers.", "options": {"A": "14 and 21", "B": "15 and 22", "C": "16 and 23", "D": "17 and 24"}, "correct_answer": "A"},
    {"id": 77, "difficulty": "medium", "question": "The sum of three consecutive integers is 51. Find the integers.", "options": {"A": "16, 17, 18", "B": "15, 16, 17", "C": "17, 18, 19", "D": "18, 19, 20"}, "correct_answer": "A"},
    {"id": 78, "difficulty": "medium", "question": "The difference between two numbers is 7. Six times the smaller plus the larger is 77. Find the numbers.", "options": {"A": "10 and 17", "B": "11 and 18", "C": "12 and 19", "D": "13 and 20"}, "correct_answer": "A"},
    {"id": 79, "difficulty": "medium", "question": "The ratio of boys to girls in a school is 5:4. If there are 135 boys, how many girls are there?", "options": {"A": "100", "B": "105", "C": "108", "D": "110"}, "correct_answer": "C"},
    {"id": 80, "difficulty": "medium", "question": "If one side of a square is increased by 4 cm and the adjacent side is decreased by 2 cm, a rectangle is formed whose perimeter is 40 cm. Find the side of the square.", "options": {"A": "8 cm", "B": "9 cm", "C": "10 cm", "D": "11 cm"}, "correct_answer": "B"},
    {"id": 81, "difficulty": "hard", "question": "A boat goes 30 km upstream and 44 km downstream in 10 hours. In 13 hours, it can go 40 km upstream and 55 km downstream. Find the speed of the stream and that of the boat in still water.", "options": {"A": "Boat: 8 km/h, Stream: 3 km/h", "B": "Boat: 9 km/h, Stream: 4 km/h", "C": "Boat: 10 km/h, Stream: 5 km/h", "D": "Boat: 11 km/h, Stream: 6 km/h"}, "correct_answer": "A"},
    {"id": 82, "difficulty": "hard", "question": "A man invested ₹25,000 partly at 8% and partly at 10% per annum simple interest. If the total annual interest is ₹2,200, find the amount invested at each rate.", "options": {"A": "₹15,000 at 8%, ₹10,000 at 10%", "B": "₹12,000 at 8%, ₹13,000 at 10%", "C": "₹10,000 at 8%, ₹15,000 at 10%", "D": "₹8,000 at 8%, ₹17,000 at 10%"}, "correct_answer": "A"},
    {"id": 83, "difficulty": "hard", "question": "A fraction becomes 9/11 if 2 is added to both numerator and denominator. If 3 is added to both numerator and denominator, it becomes 5/6. Find the fraction.", "options": {"A": "7/9", "B": "8/11", "C": "9/13", "D": "10/15"}, "correct_answer": "A"},
    {"id": 84, "difficulty": "hard", "question": "The sum of the digits of a two-digit number is 15. The number obtained by interchanging the digits exceeds the given number by 9. Find the number.", "options": {"A": "78", "B": "87", "C": "69", "D": "96"}, "correct_answer": "A"},
    {"id": 85, "difficulty": "hard", "question": "A and B together can do a piece of work in 12 days, B and C together can do it in 15 days, and A and C together can do it in 20 days. In how many days can A alone do it?", "options": {"A": "30 days", "B": "40 days", "C": "50 days", "D": "60 days"}, "correct_answer": "A"},
    {"id": 86, "difficulty": "hard", "question": "The sum of a two-digit number and the number formed by reversing its digits is 110. The difference of the digits is 4. Find the number.", "options": {"A": "37 or 73", "B": "48 or 84", "C": "59 or 95", "D": "26 or 62"}, "correct_answer": "A"},
    {"id": 87, "difficulty": "hard", "question": "The area of a rectangle gets reduced by 9 square units if its length is reduced by 5 units and breadth is increased by 3 units. If we increase the length by 3 units and breadth by 2 units, the area increases by 67 square units. Find the dimensions of the rectangle.", "options": {"A": "Length: 17 units, Breadth: 9 units", "B": "Length: 18 units, Breadth: 10 units", "C": "Length: 19 units, Breadth: 11 units", "D": "Length: 20 units, Breadth: 12 units"}, "correct_answer": "A"},
    {"id": 88, "difficulty": "hard", "question": "Two water taps together can fill a tank in 9 3/8 hours. The tap of larger diameter takes 10 hours less than the smaller one to fill the tank separately. Find the time in which each tap can separately fill the tank.", "options": {"A": "Smaller: 25 hours, Larger: 15 hours", "B": "Smaller: 20 hours, Larger: 10 hours", "C": "Smaller: 30 hours, Larger: 20 hours", "D": "Smaller: 35 hours, Larger: 25 hours"}, "correct_answer": "A"},
    {"id": 89, "difficulty": "hard", "question": "The ratio of incomes of two persons is 9:7 and the ratio of their expenditures is 4:3. If each of them saves ₹200 per month, find their monthly incomes.", "options": {"A": "₹1800 and ₹1400", "B": "₹1900 and ₹1500", "C": "₹2000 and ₹1600", "D": "₹2100 and ₹1700"}, "correct_answer": "A"},
    {"id": 90, "difficulty": "hard", "question": "A train covered a certain distance at a uniform speed. If the train would have been 6 km/h faster, it would have taken 4 hours less than the scheduled time. And if the train were slower by 6 km/h, it would have taken 6 hours more than the scheduled time. Find the length of the journey.", "options": {"A": "720 km", "B": "750 km", "C": "780 km", "D": "810 km"}, "correct_answer": "A"},
    {"id": 91, "difficulty": "hard", "question": "Seven times a two-digit number is equal to four times the number obtained by reversing the digits. The difference between the digits is 3. Find the number.", "options": {"A": "36", "B": "47", "C": "58", "D": "69"}, "correct_answer": "A"},
    {"id": 92, "difficulty": "hard", "question": "A man walks a certain distance with a certain speed. If he walks 1/2 km/h faster, he takes 1 hour less. But if he walks 1 km/h slower, he takes 3 more hours. Find the distance covered by the man and his original speed.", "options": {"A": "Distance: 36 km, Speed: 4 km/h", "B": "Distance: 40 km, Speed: 5 km/h", "C": "Distance: 44 km, Speed: 6 km/h", "D": "Distance: 48 km, Speed: 7 km/h"}, "correct_answer": "A"},
    {"id": 93, "difficulty": "hard", "question": "The students of a class are made to stand in rows. If 3 students are extra in a row, there would be 1 row less. If 3 students are less in a row, there would be 2 rows more. Find the number of students in the class.", "options": {"A": "36", "B": "40", "C": "45", "D": "48"}, "correct_answer": "A"},
    {"id": 94, "difficulty": "hard", "question": "In a cyclic quadrilateral ABCD, ∠A = (2x + 4)°, ∠B = (y + 3)°, ∠C = (2y + 10)°, and ∠D = (4x - 5)°. Find the four angles.", "options": {"A": "∠A = 70°, ∠B = 53°, ∠C = 110°, ∠D = 127°", "B": "∠A = 65°, ∠B = 55°, ∠C = 115°, ∠D = 125°", "C": "∠A = 60°, ∠B = 57°, ∠C = 120°, ∠D = 123°", "D": "∠A = 75°, ∠B = 51°, ∠C = 105°, ∠D = 129°"}, "correct_answer": "A"},
    {"id": 95, "difficulty": "hard", "question": "A two-digit number is such that the product of its digits is 12. When 36 is added to the number, the digits interchange their places. Find the number.", "options": {"A": "26", "B": "34", "C": "43", "D": "62"}, "correct_answer": "A"},
    {"id": 96, "difficulty": "hard", "question": "The taxi charges in a city consist of a fixed charge together with the charge for the distance covered. For a distance of 10 km, the charge paid is ₹105, and for a journey of 15 km, the charge paid is ₹155. What are the fixed charges and the charge per km?", "options": {"A": "Fixed: ₹5, Per km: ₹10", "B": "Fixed: ₹10, Per km: ₹8", "C": "Fixed: ₹15, Per km: ₹7", "D": "Fixed: ₹20, Per km: ₹6"}, "correct_answer": "A"},
    {"id": 97, "difficulty": "hard", "question": "Yash scored 40 marks in a test, getting 3 marks for each right answer and losing 1 mark for each wrong answer. Had 4 marks been awarded for each correct answer and 2 marks been deducted for each incorrect answer, then Yash would have scored 50 marks. How many questions were there in the test?", "options": {"A": "20", "B": "25", "C": "30", "D": "35"}, "correct_answer": "A"},
    {"id": 98, "difficulty": "hard", "question": "A chemist has one solution which is 50% acid and a second which is 25% acid. How much of each should be mixed to make 10 litres of a 40% acid solution?", "options": {"A": "6 litres of 50%, 4 litres of 25%", "B": "7 litres of 50%, 3 litres of 25%", "C": "8 litres of 50%, 2 litres of 25%", "D": "5 litres of 50%, 5 litres of 25%"}, "correct_answer": "A"},
    {"id": 99, "difficulty": "hard", "question": "The sum of the numerator and denominator of a fraction is 12. If the denominator is increased by 3, the fraction becomes 1/2. Find the fraction.", "options": {"A": "5/7", "B": "4/8", "C": "3/9", "D": "2/10"}, "correct_answer": "A"},
    {"id": 100, "difficulty": "hard", "question": "A train travels 360 km at a uniform speed. If the speed had been 5 km/h more, it would have taken 1 hour less for the same journey. Find the speed of the train.", "options": {"A": "40 km/h", "B": "45 km/h", "C": "50 km/h", "D": "55 km/h"}, "correct_answer": "A"}
  ]
}