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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।

MathematicsIn a class, every student shook hands once with every other student. If the total number of handshakes is 190, how many students are there?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41HardMathematicsThe length of a rectangular garden is (5\text{ m}) more than its breadth and its area is (300\text{ m}^2). What is the breadth of the garden?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41ExpertMathematicsA uniform border of width (x) metres surrounds a square field. The side of the square inside the border is 60 metres, while the outer side of the field is 92 metres. What is the width (x) of the border?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40ExpertMathematicsA uniform path of width x metres is built around a garden that is 64 metres long and 44 metres wide. The total area of the garden together with the path is 3996 square metres. What is the value of x?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40ExpertMathematicsA uniform path 5 m wide is built outside a rectangular garden on all four sides. The garden is 60 m long and 42 m wide. What is the total area of the outer rectangle, including the path?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40ExpertMathematicsThe side of a square is \(x\) cm. If reducing the side by 9 cm makes the new area 1681 square cm, what was the original side of the square?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40ExpertMathematicsA square field has a side length of \(x\) metres. If its side is increased by 12 metres, the area increases by 2448 square metres. What is the original side length \(x\)?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40ExpertMathematicsIn an age problem, the father's age is 42 years more than the son's age, and the product of their ages is 2160. What is the father's age?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40ExpertMathematicsThe square of 22 less than a number is 2500. In the positive case, what is the number?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40MediumMathematicsWhen 975 is subtracted from the square of a number, the result is 2625. What is the positive number?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40ExpertMathematicsWhen 399 is added to the square of a number, the result is 3208. What is the positive number?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40ExpertMathematicsThe sum of a number and its square is 2352. If the number is positive, what is the number?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40ExpertMathematicsThe difference between the square of a positive number and 40 times the number is 3825. What is the number?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40ExpertMathematicsThe square of a number is 2800 more than 30 times the number. What is the positive number?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40ExpertMathematicsThe product of the numbers that are 14 less than and 25 more than a positive number is 2700. What is the positive number?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40ExpertMathematicsThe product of the number that is 11 less than a number and the number that is 20 more than it is 2112. What is the positive original number?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40ExpertMathematicsThe product of the numbers that are respectively 8 and 15 more than a positive number is 2340. What is the original number?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40ExpertMathematicsIn an examination, a total of 1600 question papers are distributed. If the number of students is \(x\) and each student receives \(x-18\) question papers, how many students are there?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40ExpertMathematicsA garden has \(x\) rows, with \((x-16)\) plants in each row. If there are \(1536\) plants in total, how many rows are there?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40ExpertMathematicsAn assembly has x rows, with x+30 chairs in each row. If there are 2275 chairs in total, how many rows are there?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40Expert