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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 product of two consecutive positive integers is \(306\). What is the larger integer?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41Medium MathematicsA square field has a side of 28 m, and a uniform border is left all around it. The square inside the border has a side of 20 m. What is the width \(x\) of the border?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40Hard MathematicsThe product of two consecutive positive integers is 56. Which quadratic equation represents this situation if the smaller integer is \(x\)?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40Hard MathematicsA uniform path 2 metres wide runs around the outside of a rectangular garden. The garden is 20 metres long and 14 metres wide. What is the total outer area, including the path?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40Hard MathematicsA wire is bent into a rectangle. The length is (9) cm more than the breadth and area is (700) square cm. What is the length of the wire?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40Hard MathematicsA wire is bent into a square whose area is 625 square centimetres. What is the length of the wire?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40Hard MathematicsThe length of a rectangle is 5 m more than its breadth. If the length is increased by 3 m and the breadth by 2 m, the new area becomes 462 square metres. What was the original breadth of the rectangle?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40Hard MathematicsWhen both the length and breadth of a rectangle are increased by 4 cm, its area increases by 224 square cm. If the original length is 10 cm more than the breadth, what is the original breadth?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40Hard MathematicsA square has side length \(x\) cm. If its side is reduced by 3 cm, its area becomes 225 square cm. What was the original side length?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40Hard MathematicsA square field has a side length of \(x\) metres. If the side length is increased by 5 metres, the area increases by 425 square metres. What is the value of \(x\)?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40Hard MathematicsA present age is (x) years. The product of the age after (4) years and the age (4) years ago is (609). What is the present age?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40Hard MathematicsA person's present age is \(x\) years. The product of the person's age 5 years from now and age 5 years ago is 875. What is the person's present age?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40Hard MathematicsIn an age problem, the mother is (24) years older than her daughter and the product of their ages is (640). What is the daughter's age?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40Hard MathematicsIn an age problem, the father's age is 28 years more than the son's age, and the product of their ages is 1485. What is the father's age?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40Hard MathematicsThe square of 6 less than a number is 784. In the positive case, what is the number?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40Hard MathematicsThe square of (4) more than a number is (900). In the positive case, what is the number?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40Hard MathematicsWhen (175) is subtracted from the square of a number, the result is (550). What is the positive number?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40Hard MathematicsWhen (156) is added to the square of a number, the result is (1057). What is the positive number?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40Hard MathematicsThe sum of a number and its square is 930. What is the positive number?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40Hard MathematicsWhen 16 times a positive number is subtracted from its square, the result is 425. What is the number?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40Hard