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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 price of an article is ₹x. If it is bought for ₹5 less per article, 3 more articles can be bought for ₹300. What is the original price?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41HardMathematicsA right triangle has a shorter side of length \(x\) cm, another side of length \((x+7)\) cm, and a hypotenuse of length \((x+8)\) cm. Find the length of the shorter side.Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41ExpertMathematicsThe product of a number and the number obtained by adding 6 to it is 135. What is the positive original number?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41ExpertMathematicsThe length of a rectangular room is (4\text{ m}) more than its breadth. The floor area is (96\text{ m}^2). What is the perimeter of the room?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41ExpertMathematicsThere are n points on a board. Joining every pair of points forms a total of 45 line segments. What is the value of n?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41ExpertMathematicsA bus travels (240\text{ km}). If its speed were (20\text{ km/h}) less, it would take (1\text{ h}) more. What is the actual speed of the bus?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41ExpertMathematicsA (20\text{ m}) long rope forms a rectangle in an open field. If the area is (96\text{ m}^2), is this situation possible?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41ExpertMathematicsThe area of a square is \(225\text{ cm}^2\). When its side is increased by \(x\text{ cm}\), the new area becomes \(400\text{ cm}^2\). What is the value of \(x\)?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41ExpertMathematicsIn a positive fraction, the denominator is (4) more than the numerator. The sum of the fraction and its reciprocal is (\frac{41}{20}). What is the fraction?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41ExpertMathematicsThe base of a triangle is \(6\text{ cm}\) longer than its height, and its area is \(140\text{ cm}^2\). What is the height of the triangle?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41ExpertMathematicsAn article is sold for (₹1200). The profit percentage is numerically equal to (\frac{1}{20}) of the cost price and the profit is (₹200). What is the cost price?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41ExpertMathematicsThe length of a rectangular field is 2 m less than three times its breadth. Its area is 161 m². What is the breadth?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41MediumMathematicsThe sum of two positive numbers is (21), and their product is (108). What is the larger number?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41ExpertMathematicsPipe (A) takes (4\text{ h}) less than pipe (B) to fill a tank. Together they fill it in (4\text{ h}). In how much time will pipe (A) alone fill it?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41ExpertMathematicsA classroom has \(x\) rows, with \(x+3\) students in each row. If there are 180 students in total, how many rows are there?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41ExpertMathematicsWhen (14) times a number is subtracted from its square, the result is (-45). What is the larger number?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41ExpertMathematicsThe difference between the length and breadth of a rectangle is \(9\text{ cm}\), and its area is \(252\text{ cm}^2\). What is the length of the smaller side?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41ExpertMathematicsA book has (n) pages. Numbering the pages uses (272) digits. If (n) is a three-digit number, what is (n)?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41ExpertMathematicsA park has length (12\text{ m}) more than its breadth. A (2\text{ m}) wide path runs inside around it, and the area of the path is (184\text{ m}^2). What is the breadth of the park?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41ExpertMathematicsA (3\text{ cm}) wide strip is cut from one side of a square sheet. The remaining rectangle has area (70\text{ cm}^2). What was the side of the original square?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41Expert