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Class 12 · Mathematics

In the divisibility relation on (A={1,2,3,4,6,12}), what is the greatest lower bound of (4) and (6)?

Class 12 · Mathematics

In the divisibility relation on (A={1,2,3,4,6,12}), what is the least upper bound of (3) and (4)?

Class 12 · Mathematics

In the divisibility relation on (A={1,2,3,4,6,12}), how many pairs are there?

Class 12 · Mathematics

On (A={1,2,3,4,5}), how many pairs are in (R={(a,b):a\le b})?

Class 12 · Mathematics

On (A={1,2,3,4,5}), how many pairs are in (R={(a,b):a<b})?

Class 12 · Mathematics

On (A={1,2,3,4,5}), how many pairs are in (R={(a,b):a+b\le6})?

Class 12 · Mathematics

On (A={1,2,3,4}), how many pairs are in (R={(a,b):a-b\equiv0\pmod2})?

Class 12 · Mathematics

On (A={1,2,3,4,5}), (R={(a,b):a+b\equiv0\pmod 3}). Which property does this relation satisfy?

Class 12 · Mathematics

On (A={1,2,3,4,5}), (aRb) iff (a\equiv b\pmod 3). How many equivalence classes are formed?

Class 12 · Mathematics

On (A={1,2,3,4,5,6}), (aRb) iff (a) and (b) leave the same remainder on division by (2). How many equivalence classes are formed?

Class 12 · Mathematics

On (A={1,2,3,4}), (R={(a,b):a+b) is odd(}). What type of relation is it?

Class 12 · Mathematics

On real numbers, (aRb) iff (ab\ge0). In which property does this relation fail?

Class 12 · Mathematics

On real numbers, (aRb) iff (ab>0). What type of relation is it?

Class 12 · Mathematics

On real numbers, (aRb) iff (a-b>1). Which statement is correct?

Class 12 · Mathematics

On real numbers, (aRb) iff (|a-b|<1). What type of relation is it?

Class 12 · Mathematics

On real numbers, (aRb) iff (|a-b|\le 1). In which property does this relation fail?

Class 12 · Mathematics

On real numbers, (aRb) iff (a^3-b^3=0). What is the equivalence class of (2)?

Class 12 · Mathematics

On real numbers, (aRb) iff (a^2-b^2=0). What is the equivalence class of (3)?

Class 12 · Mathematics

On real numbers, (aRb) iff (a-b\in\mathbb{Q}). Which of the following classes is equal to ([0])?

Class 12 · Mathematics

On real numbers, (aRb) iff (a-b\in\mathbb{Q}). What is the equivalence class of (\sqrt{2})?