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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।

MathematicsIf (f:\mathbb{Z}\to\mathbb{Z}) and (f(n)=2n+1), choose the correct option.Class 12Relations and FunctionsFunctionsLevel 21Expert MathematicsIf (f:\mathbb{Z}\to\mathbb{Z}), (f(n)=2n), which statement is correct?Class 12Relations and FunctionsFunctionsLevel 20Expert MathematicsIf (f:\mathbb{Z}\to\mathbb{Z}), (f(n)=n+5), what type of function is (f)?Class 12Relations and FunctionsFunctionsLevel 20Expert MathematicsIf (f:\mathbb{Z}\to\mathbb{Z}) is given by (f(n)=2n+1), which statement about (f) is correct?Class 12Relations and FunctionsFunctionsLevel 19Expert MathematicsIf (f:\mathbb{Z}\to\mathbb{Z}) is defined by (f(n)=n+2), what type of function is (f)?Class 12Relations and FunctionsFunctionsLevel 20Hard MathematicsIf (f:\mathbb{Z}\to\mathbb{Z}) is defined by (f(x)=x+2), what type of function is (f)?Class 12Relations and FunctionsFunctionsLevel 19Hard MathematicsOn (A=\mathbb{Z}), (aRb) if (a-b) is even. What is true about ([1]) and ([2])?Class 12Relations and FunctionsEquivalence relationLevel 18Hard MathematicsOn (A=\mathbb{Z}), (aRb) if (a-b) is divisible by (4). How many distinct equivalence classes does this relation have?Class 12Relations and FunctionsEquivalence relationLevel 18Hard MathematicsOn integers, (aRb) if (|a-b|\leq 2). Why is this not an equivalence relation?Class 12Relations and FunctionsEquivalence relationLevel 18Hard MathematicsOn integers, (aRb) if (a+b) is divisible by (2). Which statement is correct?Class 12Relations and FunctionsEquivalence relationLevel 18Hard MathematicsOn (A=\mathbb{Z}), (aRb) if (a-b) is divisible by (6). What is the equivalence class of (0)?Class 12Relations and FunctionsEquivalence relationLevel 18Hard MathematicsIf (R={(a,b):a+b\text{ is even}}) is defined on the set of integers, which statement about (R) is correct?Class 12Relations and FunctionsEquivalence relationLevel 18Hard MathematicsIf B = {x ∈ Z : x² = 2x}, what is B?Class 12SetsLevel 3Easy MathematicsIf F = {x ∈ Z : x² < 2x + 8}, what is F?Class 12SetsLevel 2Medium MathematicsIf A = {x : x ∈ ℤ, x² − 4x = 0}, which is the correct roster form of A?Class 12SetsLevel 2Easy MathematicsWhich is the roster form of B₃ = {x ∈ ℤ : x² − 5x + 6 = 0}?Class 12SetsLevel 1Easy MathematicsWhich option correctly represents N₁ = {x : x ∈ Z, x² + x = 0}?Class 12SetsLevel 3Easy MathematicsWhich option is the correct roster form of G₁ = {x : x ∈ ℤ, x³ = x}?Class 12SetsLevel 3Medium MathematicsIf D₁ = {x : x ∈ ℤ, 2 < x² ≤ 16}, what is the roster form of D₁?Class 12SetsLevel 3Medium MathematicsOn integers, (aRb) if and only if (a-b) is divisible by (7). How will the equivalence class of (-15) be written?Class 12Relations and FunctionsEquivalence relationLevel 18Expert