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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 square field has a side length of \(x\) metres. If its side is increased by 10 metres, its area increases by 1700 square metres. What is the original side length \(x\)?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42HardMathematicsA present age is (x) years. The product of the age after (8) years and the age (8) years ago is (1936). What is the present age?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42HardMathematicsA present age is (x) years. The product of the age after (9) years and the age (9) years ago is (2119). What is the present age?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42HardMathematicsIn an age problem, the mother is (34) years older than her daughter and the product of their ages is (1760). What is the daughter's age?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42HardMathematicsIn an age problem, the father's age is 36 years more than the son's age, and the product of their ages is 1980. What is the father's age?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42HardMathematicsThe square of 15 less than a number is 2209. In the positive case, what is the number?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42HardMathematicsThe square of (14) more than a number is (2500). In the positive case, what is the number?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42HardMathematicsWhen 512 is subtracted from the square of a number, the result is 1809. What is the positive value of the number?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42HardMathematicsWhen (444) is added to the square of a number, the result is (1900). What is the positive number?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42HardMathematicsThe sum of a number and its square is 1892. What is the positive number?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42HardMathematicsWhen 27 times a positive number is subtracted from its square, the result is 1000. What is the number?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42HardMathematicsThe square of a number is 640 more than 24 times the number. What is the positive number?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42HardMathematicsThe product of the numbers that are 8 less than and 19 more than a positive number is 2368. What is the original number?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42HardMathematicsThe product of the numbers that are 9 less and 16 more than a number is 1650. What is the positive original number?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42HardMathematicsThe product of the numbers that are 6 and 13 more than a number is 1394. What is the original number?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42HardMathematicsIn an examination, the number of students is \(x\), and each student is given \((x-11)\) questions. If the total number of questions given is \(1092\), how many students are there?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42HardMathematicsA garden has 1408 plants in total. If there are x rows and each row contains (x−12) plants, what is the number of rows?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42HardMathematicsIn an assembly, there are x rows, with (x+23) chairs in each row. If there are 1674 chairs in total, how many rows are there?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42HardMathematicsA library has 1530 books in total. If the number of shelves is x and each shelf contains (x+21) books, how many shelves are there?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42HardMathematicsIn which of the following situations will the equation formed for the unknown \(x\) be quadratic?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42Hard