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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।

MathematicsA library has \(x\) shelves, and each shelf contains \(x+27\) books. If the total number of books is 1980, how many shelves are there?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40ExpertMathematicsA student solves \(x+22\) questions each day for \(x\) days, completing 1400 questions in total. What is the value of \(x\)?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40ExpertMathematicsA person travels a distance of 1125 km in x hours at a speed of x+20 km/h. What is the value of x?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40ExpertMathematicsA bus covers a distance of 1056 km. If its speed is \(x\) km/h and its travel time is \((x-85)\) hours, how much time does it take to complete the journey?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40ExpertMathematicsA car covers a distance of 800 km. If its speed is \(x\) km/h and its travel time is \((x-92)\) hours, what is the speed of the car?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 40ExpertMathematicsThe side of a square tile is \(x-12\) cm and its area is 1849 square cm. What is the value of \(x\)?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40ExpertMathematicsThe side of a square is (x+17) cm, and its area is (3249) square cm. Find the value of (x).Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40ExpertMathematicsA square park has the same area as a rectangle. The side of the square is 56 m, while the rectangle has breadth \(x\) m and length \((x+66)\) m. What is the value of the rectangle’s breadth \(x\)?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40ExpertMathematicsThe area of a rectangle is 2170 square centimetres, and its length is 27 centimetres more than its breadth. What is the perimeter of the rectangle?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40ExpertMathematicsThe sum of two positive numbers is 90, and the sum of their squares is 4068. Find the smaller number.Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40ExpertMathematicsThe sum of the squares of two consecutive positive odd numbers is 2314. What is the smaller number?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40ExpertMathematicsThe sum of squares of two consecutive positive integers is (1513). What is the smaller integer?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40ExpertMathematicsIn a two-digit number, the tens digit is 2 less than the units digit and the product of the digits is 24. What is the number?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41MediumMathematicsA uniform border of width x metres is left along the inside of a square field. If the outer side of the field is 68 metres and the side of the remaining inner square is 44 metres, what is the value of x?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42HardMathematicsA 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 42HardMathematicsA uniform path 4 metres wide surrounds a rectangular garden. The garden is 46 metres long and 32 metres wide. What is the area of the entire rectangle, including the path?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42HardMathematicsThe length of a rectangle is 15 m more than its breadth. If the length is increased by 6 m and the breadth by 5 m, the new area becomes 1944 square metres. What is the approximate original breadth of the rectangle?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42HardMathematicsThe side length of a square is \(x\) cm. If reducing the side by 7 cm makes the new area 1296 square cm, what was the original side length?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42HardMathematicsA square field has a side length of \(x\) metres. If its side is increased by 10 metres, its area increases by 1700 square metres. What is the original side length \(x\)?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42Hard