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Quadratic Equations

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

MathematicsA worker completes (1176) units of work in (x) days by doing (x+14) units daily. What is the number of days?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42HardMathematicsThe width of a rectangular garden is \(x\) metres, and its length is 5 metres more than its width. If the area of the garden is 84 square metres, which quadratic equation correctly represents the situation for \(x\)?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42HardMathematicsA boat goes (154) km downstream. Its speed in still water is (x) km per hour and stream speed is (4) km per hour. If time is (7) hours, what is (x)?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42HardMathematicsA bus covers a distance of 990 km. Its speed is \(x\) km/h and its travel time is \((x-89)\) hours. How much time will the bus take to cover the distance?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42HardMathematicsA car covers a distance of 720 km. Its speed is \(x\) km per hour, and the time taken to cover this distance is \((x-72)\) hours. What is the speed of the car?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42HardMathematicsA ladder reaches (96) m up a wall. The ladder length is (32) m more than the distance of its foot from the wall. What is that distance?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42HardMathematicsA ladder reaches (80) m up a wall. Its foot is (x) m away from the wall and the ladder length is (x+20) m. What is (x)?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42HardMathematicsThe hypotenuse of a right triangle is 145 cm. One leg is 17 cm longer than the other leg. What is the length of the shorter leg?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42HardMathematicsThe legs of a right triangle are (x) cm and (x+24) cm and the hypotenuse is (120) cm. What is the smaller leg?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42HardMathematicsThe side of a square tile is (x-13) cm, and its area is 1600 square cm. What is the value of (x)?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42HardMathematicsThe side length of a square is \(x+12\) cm, and its area is \(1764\) square cm. What is the value of \(x\)?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42HardMathematicsA square park has the same area as a rectangle. The side of the square is 48 m, while the rectangle has breadth \(x\) m and length \((x+28)\) m. What is the value of \(x\)?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42HardMathematicsA rectangular field has perimeter (186) m and area (2016) square m. What is the shorter side?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42HardMathematicsA rectangle has area (2494) square cm and length (15) cm more than breadth. What is its perimeter?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42HardMathematicsA rectangle has length (7) m more than its breadth and diagonal (97) m. What is the breadth?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42HardMathematicsThe length of a rectangle is 16 cm more than its breadth, and its area is 2145 square cm. What is its length?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42HardMathematicsA rectangle has length (21) m more than its breadth and area (1870) square m. What is the breadth?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42HardMathematicsThe sum of two positive numbers is 80, and the sum of their squares is 3232. Find the smaller number.Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42HardMathematicsThe difference between two positive numbers is (17) and their product is (1260). What is the larger number?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42HardMathematicsThe sum of squares of two consecutive even positive numbers is (2452). What is the larger number?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42Hard