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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, (aRb) if and only if (a^2-b^2) is divisible by (8). Which of the following pairs belongs to the relation?Class 12Relations and FunctionsEquivalence relationLevel 17ExpertMathematicsOn integers, (aRb) if and only if (a-b) is divisible by (4). Which is the equivalence class of (-1)?Class 12Relations and FunctionsEquivalence relationLevel 16ExpertMathematicsOn integers, (aRb) if and only if (a+b) is even. Which of the following statements is correct?Class 12Relations and FunctionsEquivalence relationLevel 16ExpertMathematicsOn the set of integers (Z), (aRb) if and only if (a-b) is divisible by (5). Which is the equivalence class of (7)?Class 12Relations and FunctionsEquivalence relationLevel 16ExpertMathematicsOn integers, (aRb) holds when (a^2+a=b^2+b). Which is the equivalence class of (2)?Class 12Relations and FunctionsEquivalence relationLevel 16HardMathematicsFor the relation on integers where (a^2-b^2) is divisible by (3), which element must belong to the class of (2)?Class 12Relations and FunctionsEquivalence relationLevel 18MediumMathematicsOn integers, (aRb) holds when (\lfloor \frac{a}{3}\rfloor=\lfloor \frac{b}{3}\rfloor). Which is the equivalence class of (5)?Class 12Relations and FunctionsEquivalence relationLevel 18MediumMathematicsWhich option gives an equivalence relation?Class 12Relations and FunctionsEquivalence relationLevel 17MediumMathematicsOn integers, (aRb) holds when (a\equiv b \pmod{8}). How many distinct equivalence classes are there?Class 12Relations and FunctionsEquivalence relationLevel 17MediumMathematicsFor the relation (a^2=b^2) on integers, what is the equivalence class of (-3)?Class 12Relations and FunctionsEquivalence relationLevel 16MediumMathematicsOn integers, (aRb) holds when (a^2=b^2). What type of relation is it?Class 12Relations and FunctionsEquivalence relationLevel 16MediumMathematicsOn integers, (aRb) holds when (a-b) is a multiple of (5). How many distinct equivalence classes are there?Class 12Relations and FunctionsEquivalence relationLevel 16MediumMathematicsOn integers, (aRb) holds when (a+b) is odd. Why is it not an equivalence relation?Class 12Relations and FunctionsEquivalence relationLevel 16MediumMathematicsOn integers, (aRb) holds when (a+b) is even. What type of relation is this?Class 12Relations and FunctionsEquivalence relationLevel 16MediumMathematicsOn integers, (aRb) is defined when (a-b) is divisible by (4). What is the equivalence class of (7)?Class 12Relations and FunctionsEquivalence relationLevel 16MediumMathematicsOn integers, (aRb) when (a+b) is even. Choose the correct conclusion.Class 12Relations and FunctionsEquivalence relationLevel 17EasyMathematicsIf (R) is defined on integers by (aRb) when (a-b) is even, then what type of relation is (R)?Class 12Relations and FunctionsEquivalence relationLevel 17EasyMathematicsOn the set of integers, (aRb) if (|a|=|b|). What type of relation is it?Class 12Relations and FunctionsEquivalence relationLevel 16EasyMathematicsOn integers, (aRb) if (a-b) is even. What kind of relation is this?Class 12Relations and FunctionsEquivalence relationLevel 16EasyMathematicsOn integers, (aRb) is defined when (a-b) is divisible by (9). What is the nature of this relation?Class 12Relations and FunctionsTransitive relationLevel 15Expert