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Class 12 · Mathematics
→On (A={1,2,3,4,5,6,7,8}), (aRb) if and only if (a-b) is divisible by (4). Which is the equivalence class of (3)?
Class 11 · 464645644646
→If S = {Monday, Tuesday, Wednesday}, how many elements are in S?
Class 11 · Mathematics
→If Q = {x : x is an integer and -2 < x < 2}, what is the roster form of Q?
Class 11 · Mathematics
→Which option correctly shows the limited roster form of N = {x : x is an odd whole number and x < 8}?
Class 11 · 464645644646
→What is the roster form of M = {x : x is a natural number and 10 ≤ x ≤ 12}?
Class 9 · Mathematics
→If G={1,2} and H={1,2,3}, which statement is correct?
Class 9 · Mathematics
→If A = {1, 2, 3} and B = {1, 2, 3, 4}, which statement is correct?
Class 12 · Mathematics
→On (A={1,2,3,4}), which is the smallest equivalence relation?
Class 12 · Mathematics
→On the set of all students, (xRy) if and only if (x) and (y) have the same date of birth. Why is this an equivalence relation?
Class 12 · Mathematics
→On (A={1,2,3,4,5,6,7}), (aRb) if and only if (a) and (b) leave the same remainder on division by (2). Which statement about ((4,7)) is correct?
Class 12 · Mathematics
→Let (R) be an equivalence relation on a set (A). If ([a]\neq[b]), which of the following is definitely true?
Class 12 · Mathematics
→On (A={1,2,3,4,5}), (aRb) if and only if (\min(a,3)=\min(b,3)). What is the equivalence class of (5)?
Class 12 · Mathematics
→On real numbers, (aRb) if and only if (a-b\in Z). Which is the correct form of the equivalence class of (1.7)?
Class 12 · Mathematics
→On (A={1,2,3,4,5,6}), (aRb) if and only if (a) and (b) are both multiples of (3) or both not multiples of (3). What is the equivalence class of (3)?
Class 12 · Mathematics
→On (A={1,2,3,4}), (R=A\times A). Which statement about its equivalence classes is correct?
Class 12 · Mathematics
→If two equivalence classes (B_1) and (B_2) of an equivalence relation satisfy (B_1\cap B_2\neq \varnothing), what conclusion follows?
Class 12 · Mathematics
→On natural numbers, (aRb) if and only if (a) and (b) have the same set of prime factors. Which of the following belongs to the equivalence class of (12)?
Class 12 · Mathematics
→On the set (R^2) of all ordered pairs, ((a,b)S(c,d)) if and only if (a+c=b+d). Is (S) an equivalence relation?
Class 12 · Mathematics
→On (A={1,2,3,4,5,6}), (aRb) if and only if (a+b) is divisible by (2). What are the equivalence classes of this relation?
Class 12 · Mathematics
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