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Class 11 · Mathematics · Easy
→If J = {1, 3, 5, 7}, which option is a subset of J?
Class 11 · Mathematics · Easy
→If H = {3, 6} and I = {3, 6, 9, 12}, which statement is correct?
Class 12 · Mathematics · Expert
→On (A={1,2,3,4,5}), (aRb) if and only if the squares of (a) and (b) leave the same remainder on division by (5). Which is the equivalence class of (2)?
Class 12 · Mathematics · Expert
→Which of the following relations on the set of integers \(\mathbb{Z}\) is an equivalence relation?
Class 12 · Mathematics · Expert
→On all real numbers, (aRb) if and only if (|a|+|b|=0). Is this an equivalence relation?
Class 12 · Mathematics · Expert
→If an equivalence relation has classes ({1,2}), ({3,4,5}), and ({6}), which statement about ((2,5)) and ((4,3)) is correct?
Class 12 · Mathematics · Expert
→On positive integers, (aRb) if and only if (a) and (b) have the same last digit. What forms the equivalence class of (102)?
Class 12 · Mathematics · Expert
→For the relation (aRb) if and only if (a=b) or (a+b=6) on (A={1,2,3,4,5}), which is the correct partition?
Class 12 · Mathematics · Expert
→On (A={1,2,3,4,5}), (aRb) if and only if (a=b) or (a+b=6). Is this an equivalence relation?
Class 12 · Mathematics · Expert
→On all real numbers where tangent is defined, (aRb) if and only if (\tan a=\tan b). Which of the following is in the equivalence class of (0)?
Class 12 · Mathematics · Expert
→On natural numbers, (aRb) if and only if (a) and (b) have the same sum of digits. Which of the following is in the equivalence class of (29)?
Class 12 · Mathematics · Expert
→On (A={1,2,3,4,5,6}), (aRb) if and only if (a) and (b) are both multiples of (2) or both not multiples of (2). Which is the equivalence class of (5)?
Class 12 · Mathematics · Expert
→If (R) and (S) are equivalence relations, which statement is generally true about (R\cup S)?
Class 12 · Mathematics · Expert
→If (R) and (S) are equivalence relations on the same set (A), which statement about (R\cap S) is correct?
Class 12 · Mathematics · Expert
→On (A={1,2,3,4,5}), (aRb) if and only if (a+b=6). Is this an equivalence relation?
Class 12 · Mathematics · Expert
→On the set of all rectangles, (R_1RR_2) if and only if the two rectangles have the same area. What type of relation is this?
Class 12 · Mathematics · Expert
→On (A={1,2,3,4,5,6}), (aRb) if and only if (a) and (b) leave the same remainder on division by (2). What is the quotient set (A/R)?
Class 12 · Mathematics · Expert
→On all positive real numbers, (aRb) if and only if (\log a-\log b\in Z). Which is the equivalence class of (1)?
Class 12 · Mathematics · Expert
→On all real numbers, (aRb) if and only if (a-b) is an integer. Choose the correct statement about (0.25) and (3.25).
Class 12 · Mathematics · Expert
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