- Type
- Midterm past paper
- Course
- MTH202 Discrete Mathematics
- Size
- PDF 1.3 MB
- Updated
- 23 Oct 2026
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Text from pages 1, 2, 3 of 89. Download the file for all 89 pages.
If x=17(mod 5) which of the following integers are valid solution for x?
Range of the relation {(0, 1), (3, 22), (90, 34)}
{1,22,34}
Let A= {0,1,2} and R = {(0,2),(1,1),(2,0)} be a relation on A. the which of the following ordered pairs are needed to make it transitive?
(0,0) and (2,2)
Operation of subtraction is a binary operation on the set of
Integers
Let S=R and define the ‘square’ relation R= {(x, y) Ix2=y2}. The square relation is a _________ relation
The logic gate NOT is a unitary operation on {0, 1}.
If a relation R is reflexive, anti-symmetric and transitive then which of the following is not true for the inverse relation.
Inverse relation will be ir-reflexive.
Let R be a binary relation on a set A, R is anti-symmetric if
a, beA if (a,b)eR and (b, a)eR then a=b
“-“is a binary operation on the set of integers Z.
True
The inverse relation R^ (-1) from B to A is defined as ____________
R^(-1) = {(b,a) e B*A I (a,b)eR}
Which of the following is always true for the matrix representation of a symmetric relation?
Matrix is equal to its transpose
Let A= {1,2,3,4} and let R and S be transitive binary relations on A defined as; R= {(1,2), (1,3), (2,2), (3,3), (4,2), (4,3) and S={(2,1), (2,4), (3,3)} then RuS= {(1,2), (1,3), (2,1), (2,2), (2,4), (3,3), (4,2), (4,3)}
R union S is transitive
Let S=R and define the ‘square’ relation R = {(x, y) Ix2=y2}. The square is a _________ relation.
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