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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।

MathematicsThe sum of a positive number and its reciprocal is (\frac{5}{2}). What can the number be?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42MediumMathematicsThe length of a rectangle is 4 metres more than its breadth, and its area is 96 square metres. What is the breadth of the rectangle?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42MediumMathematicsWorker A can complete a task alone in x days, while worker B can complete it alone in x+5 days. Together, they complete the task in 6 days. In how many days can worker A complete the task alone?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42MediumMathematicsIn a two-digit number, the units digit is 1 more than the tens digit. The sum of the squares of the two digits is 61. What is the number?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42MediumMathematicsOne side of a right-angled triangle is 10 cm, and its hypotenuse is 5 cm longer than the other side. What is the length of the other side?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42MediumMathematicsThe product of two consecutive positive odd numbers is 255. Which numbers are they?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42MediumMathematicsA uniform path is constructed all around inside a rectangular grassy plot that is 30 m long and 20 m wide. The area of the remaining grassy portion is 416 m². What is the width of the path?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 42MediumMathematicsThe product of two consecutive positive integers is 240. Which pair of integers is correct?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42MediumMathematicsThe length of a rectangle is 5 cm more than its breadth, and its area is 150 cm². What are its breadth and length?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42MediumMathematicsTwo workers together complete a work in (6\text{ days}). The first worker alone takes (5\text{ days}) less than the second worker. In how many days will the first worker alone complete the work?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41ExpertMathematicsThe length of a rectangular swimming pool is (8\text{ m}) more than its breadth and its area is (273\text{ m}^2). What is the perimeter of the pool?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41ExpertMathematicsA train covers a distance of (300\text{ km}). If its speed were (10\text{ km/h}) more, it would take (1\text{ h}) less. What was the actual speed of the train?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41ExpertMathematicsA rectangular sheet has length (8\text{ cm}) more than its breadth. Squares of side (2\text{ cm}) are cut from each corner and folded to make a box of volume (240\text{ cm}^3). What is the original breadth?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41ExpertMathematicsA boat travels (48\text{ km}) downstream and (32\text{ km}) upstream in a total of (10\text{ h}). The speed in still water is (10\text{ km/h}). What is the speed of the stream?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41ExpertMathematicsA field has area 875 m². Its length is 5 m less than twice its breadth. What is the breadth?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41HardMathematicsThe sum of a positive number and its square is 156. What is the number?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41ExpertMathematicsA hostel has rooms for (60) students. If (2) more students are put in each room, (5) fewer rooms are needed. How many students were originally put in each room?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41ExpertMathematicsA garden's length is (10\text{ m}) more than its breadth. If both length and breadth are increased by (5\text{ m}), the area increases by (350\text{ m}^2). What is the original breadth?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41Expert