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Algebraic Reasoning

Class 9 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsIf (S_n=2145), what will be the value of (S_{2n}-S_n)?Class 9Sequences and ProgressionsSum of first n natural numbersLevel 61Expert MathematicsIf (S_n-S_{n-2}=199), what will be the value of (S_n)?Class 9Sequences and ProgressionsSum of first n natural numbersLevel 61Expert MathematicsIf (S_n=4560), what is the value of (S_{n+5}-S_n)?Class 9Sequences and ProgressionsSum of first n natural numbersLevel 60Hard MathematicsIf (S_n=2850), what will be the value of (S_{n-5})?Class 9Sequences and ProgressionsSum of first n natural numbersLevel 61Medium MathematicsLet \(S_n\) denote the sum of the first n natural numbers. Which number does \(S_n-S_{n-1}\) represent?Class 9Sequences and ProgressionsSum of first n natural numbersLevel 61Medium MathematicsFor the sum \(S_n\) of the first \(n\) natural numbers, what does \(S_n-S_{n-1}\) represent when \(n\geq 2\)?Class 9Sequences and ProgressionsSum of first n natural numbersLevel 62Easy MathematicsIf three non-zero real numbers \(x, y, z\) are in geometric progression in this order, which of the following condition is necessary and sufficient?Class 9Sequences and ProgressionsGeometric ProgressionLevel 54Hard MathematicsThree non-zero numbers \(p, q, r\), in this order, form a geometric progression if which condition is true?Class 9Sequences and ProgressionsGeometric ProgressionLevel 54Hard MathematicsIf the terms at two distinct positions in an arithmetic progression are equal, which conclusion is necessary?Class 9Sequences and ProgressionsArithmetic ProgressionLevel 51Hard MathematicsIf (P(t)=90+8t), (P(7)+P(19)) is equal to twice which (P(k))?Class 9Introduction to PolynomialsLinear growth and decayLevel 37Expert MathematicsIf (A(t)=90-4t) and (B(t)=30+2t), when will (A(t)) be (12) more than (B(t))?Class 9Introduction to PolynomialsLinear growth and decayLevel 36Hard MathematicsIf (p(x)=mx+n) and (p(-5)=p(3)), when can (p(x)) be linear?Class 9Introduction to PolynomialsLinear polynomialsLevel 34Expert MathematicsIf (p(x)=7x+c) and (p(6)=p(2)+28), what is correct about (c)?Class 9Introduction to PolynomialsLinear polynomialsLevel 32Expert MathematicsIf the degree of 2x^m + 7x^4 − 5 is 4 and m < 4, which value of m is possible?Class 9Introduction to PolynomialsDegree of a PolynomialLevel 29Medium MathematicsSuppose \(x\) is irrational and \(x+y\) is rational. Which conclusion about \(y\) must be true?Class 9Number SystemsIrrational numbersLevel 19Expert MathematicsIf someone writes (a=2b) from (a^2=2b^2), what is the correct correction?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 17Expert MathematicsSuppose \(r=\sqrt{2}+\sqrt{3}\) is a rational number. Which conclusion from this assumption proves by contradiction that \(\sqrt{2}+\sqrt{3}\) is irrational?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 16Hard MathematicsFrom (a^2=3b^2), which conclusion is obtained about (a^2)?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 19Easy MathematicsIf p and q are irrational numbers and \(p+q\) is rational, which of the following expressions must be irrational?Class 9Number SystemsIrrational numbersLevel 15Expert