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Class 12 · Mathematics
→On a set with (8) elements, an equivalence relation has class sizes (2,2,4). How many ordered pairs are in the relation?
Class 12 · Mathematics
→On (A={1,2,3,4,5,6}), (R={(a,b):a) and (b) leave the same remainder on division by (3)(}). How many ordered pairs are in (R)?
Class 12 · Mathematics
→On the set of all polynomials, (pRq) if and only if (p(1)=q(1)). By which condition is the equivalence class of (p(x)=x^2+x) formed?
Class 12 · Mathematics
→On all real numbers, (aRb) if and only if (a-b\in Q). Which of the following pairs is not in the relation?
Class 12 · Mathematics
→On (A={1,2,3,4,5,6,7,8}), (aRb) if and only if (\lceil \frac{a}{2}\rceil=\lceil \frac{b}{2}\rceil). Which is the equivalence class of (5)?
Class 12 · Mathematics
→On all complex numbers, (z_1Rz_2) if and only if (\operatorname{Re}(z_1)=\operatorname{Re}(z_2)). What does the equivalence class of (2+3i) represent?
Class 12 · Mathematics
→On all real numbers, (aRb) if and only if (a^4=b^4). Which is the equivalence class of (2)?
Class 12 · Mathematics
→On all (3\times 3) real matrices, (A RB) if and only if (\operatorname{rank}(A)=\operatorname{rank}(B)). How many equivalence classes are formed?
Class 12 · Mathematics
→On (A={1,2,3,4,5,6}), (aRb) if and only if (\operatorname{lcm}(a,6)=\operatorname{lcm}(b,6)). Which is the equivalence class of (4)?
Class 12 · Mathematics
→On real numbers, (aRb) if and only if (\lfloor 2a\rfloor=\lfloor 2b\rfloor). Which is the correct equivalence class of (\frac{5}{4})?
Class 12 · Mathematics
→On all real numbers, (aRb) if and only if (\lfloor 2a\rfloor=\lfloor 2b\rfloor). Which is the equivalence class of (\frac{5}{4})?
Class 12 · Mathematics
→On (A={1,2,3,4,5,6,7}), (aRb) if and only if (a^2\equiv b^2 \pmod{7}). Which is the equivalence class of (3)?
Class 12 · Mathematics
→On real numbers, (aRb) if and only if (a-b\in Z). Which is the equivalence class of (\frac{3}{4})?
Class 12 · Mathematics
→On integers, (aRb) if and only if (a-b) is divisible by (7). How will the equivalence class of (-15) be written?
Class 12 · Mathematics
→On (A={1,2,3,4,5,6,7,8,9,10,11,12}), (aRb) if and only if (a) and (b) leave the same remainder on division by (6). Which is the equivalence class of (5)?
Class 11 · 464645644646
→Which option is the roster form of L = {x : x is a natural factor of 25}?
Class 11 · Mathematics
→If J = {1, 3, 5, 7}, which option is a subset of J?
Class 11 · Mathematics
→If H = {3, 6} and I = {3, 6, 9, 12}, which statement is correct?
Class 11 · 464645644646
→If G is the set of distinct written letters occurring in the Hindi word “गणित”, what is n(G)?
Class 11 · 464645644646
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