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Class 10 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsThe length of a rectangle is 5 units more than its breadth, and its area is 204 square units. What is the length of the rectangle?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41MediumMathematicsThe sum of a number and its reciprocal is (\frac{10}{3}). What is the larger number?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41MediumMathematicsThe product of two consecutive positive even integers is 288. What is the larger integer?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41MediumMathematicsThe product of two consecutive positive odd integers is (399). What is the smaller integer?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41MediumMathematicsThe product of two consecutive positive integers is \(306\). What is the larger integer?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41MediumMathematicsA 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 40HardMathematicsThe 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 40HardMathematicsA 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 40HardMathematicsA 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 40HardMathematicsA 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 40HardMathematicsIn 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 40HardMathematicsThe square of 6 less than a number is 784. In the positive case, what is the number?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40HardMathematicsThe sum of a number and its square is 930. What is the positive number?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40HardMathematicsWhen 16 times a positive number is subtracted from its square, the result is 425. What is the number?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40HardMathematicsThe square of a number is 240 more than 14 times the number. What is the positive number?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40HardMathematicsThe product of the numbers that are 2 less and 9 more than a positive number is 620. What is the original number?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40HardMathematicsThe product of the numbers that are 5 less than and 8 more than a number is 464. What is the positive original number?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40HardMathematicsThe product of the numbers that are 3 and 7 more than a positive number is 600. What is the original number?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40HardMathematicsIn an examination, there are \(x\) students, and each student is given \((x-5)\) questions. If the total number of questions is \(414\), how many students are there?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40HardMathematicsThe plants in a garden are arranged in rows with an equal number of plants in each row. If the number of rows is \(x\) and each row contains \(x-6\) plants, there are 667 plants in total. How many rows are there?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40Hard