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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 sum of the squares of two consecutive positive odd integers is 2050. What is the smaller integer?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42Hard MathematicsThe sum of squares of two consecutive positive integers is (1201). What is the smaller integer?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42Hard MathematicsA square field has an outer side of 52 m. After leaving a uniform strip of equal width on all four sides, the inner square has a side of 36 m. What is the width \(x\) of the strip?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41Hard MathematicsA rectangular garden is 42 m long and 28 m wide. A path of uniform width x m is constructed outside it on all four sides. The total area of the garden and the path is 1848 square metres. What is the value of x?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41Hard MathematicsA uniform path 3 metres wide surrounds a rectangular garden. The garden is 34 metres long and 22 metres wide. What is the total area including the path?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41Hard MathematicsA wire is bent into a rectangle. The length is (16) cm more than the breadth and area is (1344) square cm. What is the length of the wire?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41Hard MathematicsA wire is bent into a square and the area is 1296 square cm. What is the length of the wire?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41Easy MathematicsThe length of a rectangle is 9 m more than its breadth. If the length is increased by 4 m and the breadth by 3 m, the new area becomes 1190 square metres. What is the original breadth of the rectangle?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41Hard MathematicsWhen both length and breadth of a rectangle are increased by 6 cm, the area increases by 480 square cm. If the original length is 12 cm more than the breadth, what is the breadth?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41Hard MathematicsThe side length of a square is \(x\) cm. If the side length is reduced by 5 cm, the area of the resulting square becomes 784 square cm. What was the original side length of the square?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41Hard MathematicsA square field has a side length of (x) metres. If the side is increased by 8 metres, the area increases by 1216 square metres. What is the value of (x)?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41Hard MathematicsA present age is (x) years. The product of the age after (6) years and the age (6) years ago is (1333). What is the present age?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41Hard MathematicsA person's present age is \(x\) years. The product of the person's age after 7 years and the age 7 years ago is 1551. What is the person's present age?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41Hard MathematicsIn an age problem, the mother is (30) years older than her daughter and the product of their ages is (1476). What is the daughter's age?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41Hard MathematicsIn an age-related problem, the father's age is 32 years more than the son's age, and the product of their ages is 1280. What is the father's age?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41Hard MathematicsThe square of 11 less than a number is 1156. In the positive case, what is the number?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41Medium MathematicsThe square of (9) more than a number is (1681). In the positive case, what is the number?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41Hard MathematicsWhen 256 is subtracted from the square of a number, the result is 1040. What is the positive number?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41Hard MathematicsWhen (175) is added to the square of a number, the result is (1076). What is the positive number?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41Hard MathematicsThe sum of a number and its square is 1260. What is the positive number?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41Hard