# 2nd PUC Mathematics Series 3

PUC Science 2nd Year Mathematics Series-3 quiz

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2nd PUC Mathematics Series 3

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21. The number of commutative binary operation that can be defined on a set of 2 elements is

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22. The maximum number of equivalence relations on the set A = {1, 2, 3} are

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23. Let us define a relation R in R as aRb if a ≥ b. Then R is

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24. Let A = {1, 2, 3} and consider the relation R = {(1, 1), (2, 2), (3, 3), (1, 2), (2, 3), (1, 3)}. Then R is

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25. Which of the following functions from Z into Z are bijective?

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26. Let R be a relation on the set N of natural numbers denoted by nRm ⇔ n is a factor of m (i.e. n | m). Then, R is

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27. Let R be the relation “is congruent to” on the set of all triangles in a plane is

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28. Total number of equivalence relations defined in the set S = {a, b, c} is

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29. The mapping f : N → N is given by f(n) = 1 + n2, n ∈ N when N is the set of natural numbers is

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30. The function f : R → R given by f(x) = x3 – 1 is