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Number Properties

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

MathematicsUnder which condition is the sum of the first n natural numbers a multiple of n?Class 9Sequences and ProgressionsSum of first n natural numbersExpert MathematicsFor which type of positive integer \(n\) is the sum of the first \(n\) natural numbers exactly divisible by \(n\)?Class 9Sequences and ProgressionsSum of first n natural numbersExpert MathematicsIf \(S_n\) denotes the sum of the first \(n\) natural numbers, which of the following statements is always true for every natural number \(n\)?Class 9Sequences and ProgressionsSum of first n natural numbersHard MathematicsFor which positive integers \(n\) is the sum \(S_n\) of the first \(n\) natural numbers exactly divisible by \(n\)?Class 9Sequences and ProgressionsSum of first n natural numbersHard MathematicsWhich condition is necessary and sufficient for a positive integer \(T\) to be the sum of the first \(n\) natural numbers for some positive integer \(n\)?Class 9Sequences and ProgressionsSum of first n natural numbersHard MathematicsWhich of the following statements about the sum of the first n natural numbers is correct?Class 9Sequences and ProgressionsSum of first n natural numbersHard MathematicsWhy is \(n(n+1)\) always even in the formula \(S_n=\frac{n(n+1)}{2}\) for the sum of the first \(n\) natural numbers?Class 9Sequences and ProgressionsSum of first n natural numbersEasy MathematicsIf \(x\) is an irrational number and \(r\) is a rational number, which of the following statements is always true?Class 9Number SystemsReal NumbersHard MathematicsIf \(r\) is a rational number and \(x\) is an irrational number, which of the following will always be irrational?Class 9Number SystemsReal NumbersHard MathematicsWhich of the following statements is not always true?Class 9Number SystemsReal NumbersHard MathematicsWhat is the additive identity in the real numbers?Class 9Number SystemsReal NumbersEasy MathematicsWhich option correctly describes L = {2, 3, 5, 7, 11}?Class 9Number SystemsGeneral chapter practiceEasy