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Class 10 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsThe hypotenuse of a right triangle is \(17\text{ cm}\), and one leg is \(7\text{ cm}\) longer than the other. What is the length of the shorter leg?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42MediumMathematicsSome notebooks were bought for a total of 720 rupees. If the price of each notebook had been 6 rupees less, 4 more notebooks could have been bought for the same amount. What was the original price of each notebook?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42MediumMathematicsA vehicle covers a distance of 150 km. If its speed is increased by 5 km/h, the travel time decreases by 1 hour. What was its original speed?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42MediumMathematicsThe product of a positive number and the number 4 greater than it is 221. What is the smaller number?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42MediumMathematicsA photograph has an outer length of 12 cm and breadth of 8 cm. A frame of uniform width is fitted around it, leaving an inner photograph area of 60 cm². What is the width of the frame?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42MediumMathematicsA car covers a distance of 240 km. If its speed is increased by 20 km/h, the travel time decreases by 1 hour. What was the car’s original speed?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42MediumMathematicsA son's present age is \(x\) years, and his mother's present age is 20 years more than his. Five years ago, the product of their ages was 189. What is the son's present age?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42MediumMathematicsA right triangle has a shorter side of length \(x\) cm, another side of length \((x+7)\) cm, and a hypotenuse of length \((x+8)\) cm. Find the length of the shorter side.Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41ExpertMathematicsThe length of a rectangle is 20 m more than its breadth. If the length is increased by 8 m and the breadth by 6 m, the new area becomes 3360 square metres. What was the original breadth of the rectangle?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40ExpertMathematicsThe hypotenuse of a right triangle is 185 cm, and one leg is 37 cm longer than the other leg. What is the length of the shorter leg?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40ExpertMathematicsA rectangular garden, 50 m long and 36 m wide, is surrounded by a uniform path of width x m. The area of the entire rectangle, including the path, is 2760 square metres. What is the value of x?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42HardMathematicsThe length of a rectangle is 9 m more than its breadth. If the length is increased by 4 m and the breadth by 3 m, the new area becomes 1190 square metres. What is the original breadth of the rectangle?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41HardMathematicsThe side length of a square is \(x\) cm. If the side length is reduced by 5 cm, the area of the resulting square becomes 784 square cm. What was the original side length of the square?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41HardMathematicsThe product of the numbers 5 less and 14 more than a positive number is 1242. What is the original number?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41HardMathematicsThe side of a square tile is \(x-8\) cm, and its area is 900 square cm. What is the value of \(x\)?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41HardMathematicsA rectangular field is 30 metres long and 18 metres wide. A path of uniform width is constructed all around the outside of the field. The total area of the field and the path is 748 square metres. What is the width of the path?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41MediumMathematicsA train covers a distance of 360 kilometres. If its speed is increased by 15 kilometres per hour, the travel time decreases by 2 hours. What was the train’s original speed?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41MediumMathematicsThe product of the numbers that are 3 and 7 more than a positive number is 600. What is the original number?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40HardMathematicsIn an examination, there are \(x\) students, and each student is given \((x-5)\) questions. If the total number of questions is \(414\), how many students are there?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40HardMathematicsThe area of a rectangle is 720 square cm, and its length is 6 cm more than its breadth. What is the perimeter of the rectangle?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40Hard