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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 garden is 36 metres long and 24 metres wide. A uniform path runs inside along all four sides. The area of the portion left after making the path is 540 square metres. What is the width of the path?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41MediumMathematicsA rectangular photo frame has outer length (24) and breadth (18). After removing a uniform border, the inner area is (280). What is the border width?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41MediumMathematicsA poster has an area of \(216\) square units. Its length is \(6\) units more than its breadth. What is the breadth of the poster?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41MediumMathematicsWhen 6 is subtracted from a number and the result is multiplied by the same number, the product is 135. What is the positive number?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41MediumMathematicsFor which positive number does multiplying the number by the result obtained after adding 8 to it give 209?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41MediumMathematicsThe breadth of a rectangle is 9 units. Its length is four times the number obtained by subtracting 3 units from the breadth. What is the area of the rectangle?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41MediumMathematicsThe area of a rectangular room is 432 square units, and its length is 6 units more than its breadth. What is the breadth of the room?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41MediumMathematicsThe product of two positive numbers is 378, and the larger number is 3 more than the smaller number. Find the smaller number.Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41MediumMathematicsThe sum of two numbers is (26) and the sum of their squares is (340). What is the larger number?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41MediumMathematicsThe square of a number is 54 more than 15 times the number. What is the positive number?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41MediumMathematicsA square park has area 196 square units. If its side is increased by 4 units, what will be the new area?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41EasyMathematicsThe diagonal of a rectangle is 25 units, and its length is 17 units more than its breadth. What is the breadth of the rectangle?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41MediumMathematicsIn three consecutive positive even integers, the product of the first and third is 480. What is the middle even integer?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41MediumMathematicsIn three consecutive positive integers, the product of the first and the third is (195). What is the middle integer?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41MediumMathematicsThe sum of the ages of two friends is 44 years and the product of their ages is 480 years². What is the age of the older friend?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41MediumMathematicsA father's age is 28 years more than his son's age. After 4 years, the product of their ages will be 960. What is the son's present age?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41MediumMathematics1680 rupees were distributed equally among a class. If there had been 4 fewer students, each would have received 10 rupees more. What was the original number of students?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41MediumMathematics(1800) rupees were distributed equally among some students. If there were (10) more students, each would get (6) rupees less. What was the original number of students?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41MediumMathematicsA boat moves at 20 km/h in still water. The stream speed is x km/h. It takes 4 hours to travel 48 km downstream and 32 km upstream in total. What is x?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41MediumMathematicsA person travels \(300\) kilometres. If the person's speed is reduced by \(10\) kilometres per hour, the travel time increases by \(1\) hour. What was the original speed?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41Medium