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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।

MathematicsTwo pipes fill a tank separately in \(x\) hours and \((x+4)\) hours, respectively. Working together, they fill the tank in \(\frac{24}{5}\) hours. How many hours will the faster pipe take to fill the tank alone?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42MediumMathematicsWorker A alone completes a task in x days, while worker B alone completes it in (x+3) days. Together, they complete the same task in 2 days. In how many days will worker A alone complete the task?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42MediumMathematicsA son's present age is \(x\) years, and his father is 28 years older than him. After 4 years, the product of their ages will be 960. What is the son's present age?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42MediumMathematicsTwo positive numbers differ by 9, and the sum of their squares is 585. What is the smaller number?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42MediumMathematicsThe product of a positive number and the number 4 greater than it is 221. What is the smaller number?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42MediumMathematicsThe sum of two positive numbers is 19 and their product is 84. Which pair of numbers satisfies these conditions?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42MediumMathematicsA farmer uses 120 metres of fencing to enclose a rectangular field on all four sides. If the area of the field is 875 square metres, what are its length and breadth?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42MediumMathematicsThe sum of the square of a positive number and five times the number is 84. What is the number?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42MediumMathematicsA photograph has an outer length of 12 cm and breadth of 8 cm. A frame of uniform width is fitted around it, leaving an inner photograph area of 60 cm². What is the width of the frame?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42MediumMathematicsIn a classroom, the number of rows is \(x\). Each row contains 3 more students than the number of rows. If there are 154 students in total, how many rows are there?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42MediumMathematicsThe diagonal of a rectangle is 25 cm, and its length is 5 cm greater than its breadth. What is the breadth of the rectangle?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42MediumMathematicsThe product of two consecutive positive even numbers is 224. Which numbers are they?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42MediumMathematicsThe sum of the squares of two consecutive natural numbers is 365. Which two numbers are they?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42MediumMathematicsThe difference between two positive numbers is 6, and their product is 216. What is the smaller number?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42MediumMathematicsA boat takes 3 hours more to travel 48 km upstream than to travel the same distance downstream. The speed of the stream is 4 km/h. What is the speed of the boat in still water?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42MediumMathematicsA total of 1200 rupees is spent on buying some items. If the price of each item decreases by 10 rupees, 4 more items can be bought for the same amount. What was the original price of each item?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42MediumMathematicsA rectangular park has a perimeter of 50 m and an area of 150 m². What are its length and breadth?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42MediumMathematicsA ladder is placed against a wall. Its foot is \(x\) metres from the wall, and it reaches a height of \((x+7)\) metres on the wall. If the ladder is 13 metres long, what is the distance of its foot from the wall?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42MediumMathematicsThe area of a triangle is \(60\,\text{cm}^2\). Its base is \(4\,\text{cm}\) longer than its height. What is the height of the triangle?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42MediumMathematicsThe square of a positive number is 28 more than three times the number. What is the number?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42Medium