90
Minutes
60
Questions
1 / -0
Marking
Q1. Let be the set of all triangles in the Euclidean plane, and let a relation on be defined as if is congruent to , . Then is
equivalence
reflexive but not transitive
transitive but not symmetric
none of these
Q2. The maximum number of equivalence relations on the set are
1
27
3
5
Q3. If be the function defined by , then is
Q4. If a relation on the set be defined by , then is
reflexive
transitive
symmetric
none of these
Q5. If be defined by , , then is
one-one
onto
bijective
is not defined
Q6. If and be the bijective functions, then is
Q7. Which of the following functions form into bijections?
Q8. If the set contains 7 elements and the set contains 8 elements, then number of one-one and onto mappings from to is
24
120
0
none of these
Q9. If be defined by then
Q10. Let . Let be the equivalence relation on defined by if . Then the equivalence class is
Q11. Let be the function defined by and be another function defined by . Then is
1
– 1
3
Q12. If given by , find
None of these
Q13. Let . The number of equivalence relations containing is
2
3
4
None of these
Q14. Let defined by . Choose the correct answer
is neither one-one nor onto
is one-one but not onto
is many one onto
None of these
Q15. Let defined by . Choose the correct answer
is one one onto
is many one onto
is one-one but not onto
is neither one-one nor onto
...and 45 more challenging questions available in the interactive simulator.