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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 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 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 41ExpertMathematicsThe sum of a positive number and its square is 156. What is the number?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41ExpertMathematicsA 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 product of a number and the number obtained by adding 6 to it is 135. What is the positive original number?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41ExpertMathematicsThere are n points on a board. Joining every pair of points forms a total of 45 line segments. What is the value of n?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41ExpertMathematicsThe area of a square is \(225\text{ cm}^2\). When its side is increased by \(x\text{ cm}\), the new area becomes \(400\text{ cm}^2\). What is the value of \(x\)?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41ExpertMathematicsThe base of a triangle is \(6\text{ cm}\) longer than its height, and its area is \(140\text{ cm}^2\). What is the height of the triangle?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41ExpertMathematicsA classroom has \(x\) rows, with \(x+3\) students in each row. If there are 180 students in total, how many rows are there?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41ExpertMathematicsThe difference between the length and breadth of a rectangle is \(9\text{ cm}\), and its area is \(252\text{ cm}^2\). What is the length of the smaller side?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41ExpertMathematicsA rectangular photo has length 7 cm more than its breadth. After adding a 1 cm wide frame around it, the total area becomes 180 cm². What is the breadth of the photo?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41MediumMathematicsA ladder is \(10\text{ m}\) long, and its foot is \(6\text{ m}\) from a wall. If the foot is moved \(2\text{ m}\) farther away from the wall, how high will the ladder reach on the wall?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41ExpertMathematicsThe square of a positive number is 22 more than nine times the number. What is the number?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41ExpertMathematicsThe hypotenuse of a right triangle is \(25\text{ cm}\), and one leg is \(5\text{ cm}\) longer than the other. What is the length of the shorter leg?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41Expert