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Integers

Class 12 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsOn integers, (a*b=a+b+ab). Which statement is correct about the inverse of (-1)?Class 12Relations and FunctionsBinary operationsLevel 29Medium MathematicsOn integers, (a*b=a+b+1). Is this operation associative?Class 12Relations and FunctionsBinary operationsLevel 29Medium MathematicsOn integers, (a*b=a+b+1) is defined. Is this operation closed?Class 12Relations and FunctionsBinary operationsLevel 28Medium MathematicsWhich operation is not closed on the set (Z) of integers?Class 12Relations and FunctionsBinary operationsLevel 30Easy MathematicsOn integers, the operation (a\ast b=\frac{a+b}{2}) is given. Is it a binary operation on (Z)?Class 12Relations and FunctionsBinary operationsLevel 29Easy MathematicsFor the operation (a\ast b=a+b) on integers, which statement is correct?Class 12Relations and FunctionsBinary operationsLevel 29Easy MathematicsThe operation (a\ast b=a-b) is given on integers. Is it commutative?Class 12Relations and FunctionsBinary operationsLevel 29Easy MathematicsOn the set of integers (Z), the operation (a\ast b=a+b+1) is given. Which statement is correct?Class 12Relations and FunctionsBinary operationsLevel 29Easy MathematicsWhy is (a*b=\frac{a+b}{2}) not a binary operation on integers?Class 12Relations and FunctionsBinary operationsLevel 28Easy MathematicsOn the set of integers (\mathbb{Z}), what type is (a*b=|a-b|)?Class 12Relations and FunctionsBinary operationsLevel 28Easy MathematicsWhy is usual division (\div) not a binary operation on the set of integers (\mathbb{Z})?Class 12Relations and FunctionsBinary operationsLevel 28Easy MathematicsWhich statement is correct about (f:\mathbb{R}\to\mathbb{Z}), (f(x)=\lfloor x\rfloor)?Class 12Relations and FunctionsOnto functionLevel 26Expert MathematicsChoose the correct statement for (f:\mathbb{Z}\to{z\in\mathbb{Z}:z\text{ is odd}}), (f(n)=2n+1).Class 12Relations and FunctionsOnto functionLevel 26Expert MathematicsIf (f:\mathbb{Z}\to\mathbb{Z}), (f(n)=2n+1), why is (f) not onto?Class 12Relations and FunctionsOnto functionLevel 26Expert MathematicsIf (f:\mathbb{Z}\to\mathbb{Z}), (f(n)=n+5), is (f) onto?Class 12Relations and FunctionsOnto functionLevel 26Expert MathematicsWhy is (f:\mathbb{R}\to\mathbb{Z}), (f(x)=\lceil x\rceil), onto?Class 12Relations and FunctionsOnto functionLevel 25Expert MathematicsIf (f:\mathbb{Z}\to{m\in\mathbb{Z}:m\text{ is odd}}), (f(n)=2n+1), what is (f)?Class 12Relations and FunctionsOnto functionLevel 25Expert MathematicsWhy is (f:\mathbb{Z}\to\mathbb{Z}), (f(n)=2n+1), not onto?Class 12Relations and FunctionsOnto functionLevel 25Expert MathematicsIf (f:\mathbb{R}\to\mathbb{Z}) and (f(x)=\lfloor x\rfloor), is (f) onto or not?Class 12Relations and FunctionsOnto functionLevel 27Hard MathematicsIf (f:\mathbb{Z}\to\mathbb{Z}) is defined by (f(n)=n+5), is (f) onto?Class 12Relations and FunctionsOnto functionLevel 27Hard