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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 difference between the square of a positive number and 20 times the number is 621. What is the number?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41HardMathematicsThe square of a number is 432 more than 18 times the number. What is the positive number?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41HardMathematicsThe product of the numbers 5 less and 14 more than a positive number is 1242. What is the original number?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41HardMathematicsThe product of the number that is 7 less than a number and the number that is 12 more than it is 756. What is the positive value of the original number?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41HardMathematicsThe product of two numbers that are respectively 4 and 10 greater than a positive number is 952. What is the original number?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41HardMathematicsIn an examination, there are \(x\) students, and each student is given \(x-7\) questions. If the total number of questions given is \(800\), how many students are there?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41HardMathematicsA garden contains 850 plants. If there are x rows and each row has \(x-9\) plants, how many rows are there?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41HardMathematicsAn assembly has x rows, with (x+17) chairs in each row. If there are 1568 chairs in total, how many rows are there?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41HardMathematicsA library has \(x\) shelves, and each shelf contains \((x+13)\) books. If the library has 1014 books in total, how many shelves are there?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41HardMathematicsA student solves 11 more questions each day than the number of days he studies. If he studies for x days and solves 900 questions in total, what is the value of x?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41HardMathematicsA worker completes 736 units of work in x days by doing x + 9 units daily. What is the number of days?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41MediumMathematicsA person travels 640 km at a speed of \(x+12\) km/h in \(x\) hours. What is the travel time \(x\)?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41HardMathematicsA boat goes (90) km downstream. Its speed in still water is (x) km per hour and stream speed is (3) km per hour. If time is (5) hours, what is (x)?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41HardMathematicsA bus covers 560 km. Its speed is x km per hour and time is x − 63 hours. What is the time?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41HardMathematicsA car covers a distance of 750 km. If its speed is \(x\) km per hour and its travel time is \((x-65)\) hours, what is the speed of the car?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41HardMathematicsA ladder reaches (72) m up a wall. The ladder length is (18) m more than the distance of its foot from the wall. What is that distance?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41HardMathematicsA ladder reaches (60) m up a wall. Its foot is (x) m away from the wall and the ladder length is (x+15) m. What is (x)?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41HardMathematicsThe hypotenuse of a right triangle is 109 cm. One leg is 19 cm longer than the other leg. What is the length of the shorter leg?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41HardMathematicsThe legs of a right triangle are (x) cm and (x+18) cm and the hypotenuse is (90) cm. What is the smaller leg?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41HardMathematicsThe side of a square tile is \(x-8\) cm, and its area is 900 square cm. What is the value of \(x\)?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41Hard