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GATE CS Monoids and Groups questions

Practise Monoids and Groups questions for GATE CS. Explore official PYQs and original topic-wise quizzes, check answers and view available solutions. Free, no sign-in.

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Official PYQ1997Engineering MathematicsMonoids and GroupsMCQ · 1 mark
The number of equivalence relations of the set {1,2,3,4}\{1,2,3,4\} is
Official PYQ1997Engineering MathematicsMonoids and GroupsMCQ · 1 mark
Let (Z,∗)\left(Z, *\right) be an algebraic structure where ZZ is the set of integers and the operation ∗* is defined by n∗m=max⁡(n,m)n*m = \max(n,m). Which of the following statements is true for (Z,∗)\left(Z, *\right)?
Official PYQ1996Engineering MathematicsMonoids and GroupsMCQ · 1 mark
Which one of the following is false?
Official PYQ1996Engineering MathematicsMonoids and GroupsMCQ · 1 mark
Which of the following statements is FALSE?
Official PYQ1995Engineering MathematicsMonoids and GroupsMCQ · 1 mark
Let AA be the set of all non-singular matrices over real number and let ∗* be the matrix multiplication operation. Then
Official PYQ1994Engineering MathematicsMonoids and GroupsMCQ · 1 mark
Some group (G,o)(G, o) is known to be abelian. Then, which one of the following is true for GG?