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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 work is completed in (x) days. If (2) workers are added, the same work is completed (3) days earlier. If total work is (60) worker-days, how many workers were there initially?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42ExpertMathematicsSome students shared (540) rupees equally. If there were (3) fewer students, each would pay (30) rupees more. What was the actual number of students?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42ExpertMathematicsA class had to collect a fixed total amount through equal contributions from 30 students. When 5 students were absent, each present student had to pay 20 rupees more than the originally determined contribution. What was the total amount collected?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42ExpertMathematicsA rectangular photo has length (8) cm more than its breadth. A (2) cm wide frame is added all around and the total area is (480) square cm. What is the breadth of the photo?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42ExpertMathematicsA square tile has side \(x\) cm. When a 5 cm wide border is added around it, the total area of the outer square becomes 900 square cm. What is the original side of the tile?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42ExpertMathematicsThe outer radius of a circular path is 3 m greater than its inner radius. If the area of the path is 75π square metres, what is the inner radius?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42ExpertMathematicsThe area of a right triangle is 84 square cm, and one perpendicular side is 5 cm longer than the other. What is the length of the shorter perpendicular side?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42ExpertMathematicsLet the length of a rectangle be \(x\) metres. If its diagonal is 37 metres and its breadth is 12 metres, which quadratic equation can be formed to find \(x\)?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42ExpertMathematicsThe diagonal of a rectangle is 25 cm, and its length is 17 cm more than its breadth. What is the breadth of the rectangle?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42ExpertMathematicsThe sum of a number and its reciprocal is (\frac{17}{4}). What is the larger value of the number?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42ExpertMathematicsA number exceeds its reciprocal by (\frac{15}{4}). What is the positive number?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42ExpertMathematicsA two-digit number has digit sum (12). The product of the number and its reversed number is (4032). Which can be the original number?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42ExpertMathematicsA two-digit number has digit sum (11). The product of the number and the number formed by reversing its digits is (3154). What is the original number?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42ExpertMathematicsIn a book, the product of a page number and the number of the next page is 930. What is the smaller page number?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42ExpertMathematicsIn a tournament, each team plays exactly one match against every other team. If a total of 153 matches were played, how many teams participated in the tournament?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42ExpertMathematicsIn a class, the total number of handshakes is (276). If each student shook hands once with every other student, how many students are there?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42ExpertMathematicsThe height of a ball is h = 30t − 5t² metres. When will it return to the ground?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42MediumMathematicsAn object is thrown vertically upward. Its height t seconds after launch is \(h(t)=20t-5t^2\) metres. At what times will the object be at a height of 15 metres?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42ExpertMathematicsA ladder is (13) m long and its foot is (5) m from the wall. If the foot is moved (7) m farther away, by how many metres will the top come down?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42ExpertMathematicsA ladder is 25 m long. When its foot is moved 7 m farther from the wall, its top comes 7 m down. What was the initial height on the wall?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42Expert