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Class 10 Mathematics

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

MathematicsIf \(p(x)=5x^3-2x^2+x-4\), what is the sum of all the coefficients of \(p(x)\)?Class 10PolynomialsPolynomials in one variableLevel 47Hard MathematicsWhich of the following expressions is a polynomial in x of degree 5?Class 10PolynomialsPolynomials in one variableLevel 47Hard MathematicsWhich of the following expressions is a polynomial in the single variable x?Class 10PolynomialsPolynomials in one variableLevel 47Medium MathematicsA student says that \(3x^2-5x+7\) is not a polynomial in one variable because it has three terms. What is the correct evaluation of the student's statement?Class 10PolynomialsPolynomials in one variableLevel 47Easy MathematicsWhich of the following expressions is a polynomial in one variable?Class 10PolynomialsPolynomials in one variableLevel 46Medium MathematicsFor the polynomial (p(x)=x^2+2x+1), what is the value of (p(1))?Class 10PolynomialsPolynomials in one variableLevel 47Easy MathematicsFor the polynomial in one variable \(5x^3-2x+7\), Riya says that its degree is 3. What is the correct evaluation of Riya’s statement?Class 10PolynomialsPolynomials in one variableLevel 47Easy MathematicsA student says that \(p(x)=7x^2-3x+5\) is a linear polynomial because it also contains an \(x\)-term. What is the student’s error?Class 10PolynomialsPolynomials in one variableLevel 47Easy MathematicsWhat is the degree of the polynomial \(7x^3-4x+9\)?Class 10PolynomialsPolynomials in one variableLevel 47Easy MathematicsIf \(a>0\), \(a\ne1\), and \(\frac{a^{3p-2}\cdot a^{p+5}}{a^{2p-1}}=a^{10}\) holds for all such values of \(a\), what is the value of \(p\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45Expert MathematicsFor a non-zero base \(a\), which rule represents division of powers with the same base?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45Medium MathematicsIf \(y\ne0\), which of the following statements correctly represents the power of a quotient law?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45Medium MathematicsFor a non-zero real number \(a\) and a positive integer \(n\), which of the following is the correct law of negative exponents?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 44Medium MathematicsAccording to the laws of exponents, which rule applies when a term with an exponent, a^m, is raised to the nth power?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 44Medium MathematicsWhich of the following statements is true for all non-zero real numbers \(a\) and \(b\), according to the laws of exponents?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43Medium MathematicsWhich of the following situations is generally represented by a quadratic equation?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42Expert MathematicsThe width of a rectangular garden is \(x\) metres, and its length is 5 metres more than its width. If the area of the garden is 84 square metres, which quadratic equation correctly represents the situation for \(x\)?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42Hard MathematicsThe 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 40Hard MathematicsA bus covers a distance of 180 kilometres. If its speed is increased by 15 kilometres per hour, the travel time decreases by 1 hour. What was the original speed of the bus?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40Medium MathematicsThe diagonal of a rectangle is 13 units long, and its length is 7 units more than its breadth. What is the breadth of the rectangle?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40Medium