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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।

MathematicsTwo friends together complete a work in (12\text{ days}). The first friend alone takes (10\text{ days}) less than the second. How many days will the first friend alone take?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41ExpertMathematicsThe diagonal of a rectangle is (17\text{ cm}), and its length is (7\text{ cm}) more than its breadth. What is the area of the rectangle?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41ExpertMathematicsA person travels (150\text{ km}) by car. On return, the speed is (25\text{ km/h}) less and the time is (1\text{ h}) more. What was the onward speed?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41ExpertMathematicsA number multiplied by the number (5) more than it gives (204). What is the number?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 41MediumMathematicsAn exam has (30) questions. A correct answer gives (4) marks and a wrong answer deducts (1) mark. A student attempts all questions and scores (85). How many answers are correct?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41ExpertMathematicsA 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 sum of the squares of two consecutive positive odd integers is (394). What is the smaller integer?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41ExpertMathematicsA shopkeeper buys some pens for (₹800). If each pen cost (₹2) less, he would buy (20) more pens. What was the actual price per pen?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41ExpertMathematicsA farmer fences a rectangular area of (240\text{ m}^2). The length is (4\text{ m}) more than the breadth. What is the total perimeter of the fence?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41ExpertMathematicsA rectangle has perimeter (46\text{ cm}) and area (120\text{ cm}^2). What is its length?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41ExpertMathematicsA boat travels 40 km downstream and 24 km upstream in the same time. The speed in still water is 8 km/h more than the speed of the stream. What is the speed of the stream?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41HardMathematicsA ball is thrown upward with speed (20\text{ m/s}). Its height is (h=20t-5t^2). At what times will it be at height (15\text{ m})?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41ExpertMathematicsIn a two-digit number, the sum of digits is (11). The product of the digits is (30). What is the larger possible number?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41ExpertMathematicsA square field has a 2 m wide path around it. The total area including the path is 196 m². What is the side of the field?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41MediumMathematicsThe 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 41ExpertMathematicsIn a class, every student shook hands once with every other student. If the total number of handshakes is 190, how many students are there?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41HardMathematicsTwo pipes together fill a tank in (6\text{ h}). One pipe takes (5\text{ h}) less than the other. In how much time will the faster pipe alone fill the tank?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41ExpertMathematicsA train covers 360 km. If its speed were 10 km/h more, it would take 3 h less. What was the original speed?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41Hard