Discrete Structures (MTS-102) Quiz 2, Assignments of Mathematics

Discrete math's Assignment for new student Discrete math's Assignment for new student Discrete math's Assignment for new student

Typology: Assignments

2020/2021

Uploaded on 06/20/2021

andbasit
andbasit 🇵🇰

4.1

(7)

9 documents

1 / 3

Toggle sidebar

This page cannot be seen from the preview

Don't miss anything!

bg1
Quiz 2
Discrete Structures (MTS-102)
Time Allowed: 1 hr
Q1: Choose the correct one
1. A relation R between sets A and B is a ………..
A × B
a. superset
b. subset
c. power set
d. empty set
2. The minimum cardinality of a relation R on A is ……
a. 0
b. 1
c. 2
d. 3
3. The maximum cardinality of a relation R on A is ……
a. 2n
b.
2n
c.
n2
d.
¿
4.
R={
(
a , a
)
:aϵAA }
is a …….. relation
a. Reflexive
b. Symmetric
c. Anti-symmetric
d. transitive
5. A relation R is called ……………if
xRy yRx
a. Reflexive
b. Symmetric
c. Anti-symmetric
d. Transitive
6. A relation R is called ……………if
xRyyRx x=y
a. Reflexive
b. Symmetric
c. Anti-symmetric
d. Transitive
7. A relation R is called ……………if
xRyyRz xRz
a. Reflexive
b. Symmetric
c. Anti-symmetric
d. Transitive
8.
is ……………….rule of inference
a. Modus Ponens
b. Modus Tollens
c. Addition
d. Simplification
pf3

Partial preview of the text

Download Discrete Structures (MTS-102) Quiz 2 and more Assignments Mathematics in PDF only on Docsity!

Quiz 2

Discrete Structures (MTS-102)

Time Allowed: 1 hr

Q1: Choose the correct one

  1. A relation R between sets A and B is a ……….. A × B a. superset b. subset c. power set d. empty set
  2. The minimum cardinality of a relation R on A is …… a. 0 b. 1 c. 2 d. 3
  3. The maximum cardinality of a relation R on A is …… a. 2n b. 2 n c. (^) n^2 d. ¿
  4. R ={(^ a^ ,^ a^ )^ :^ ^ aϵAA^ }^ is a …….. relation a. Reflexive b. Symmetric c. Anti-symmetric d. transitive
  5. A relation R is called ……………if xRy ⟹ yRx a. Reflexive b. Symmetric c. Anti-symmetric d. Transitive
  6. A relation R is called ……………if xRy ∧^ yRx^ ^ x =^ y a. Reflexive b. Symmetric c. Anti-symmetric d. Transitive
  7. A relation R is called ……………if xRyyRz ⇒ xRz a. Reflexive b. Symmetric c. Anti-symmetric d. Transitive
  8. p ∴ p ∨q is ……………….rule of inference a. Modus Ponens b. Modus Tollens c. Addition d. Simplification

p ∧ q ∴ p is ………………...rule of inference a. Modus Ponens b. Modus Tollens c. Addition d. Simplification

p p → q ∴ q is ……………......rule of inference a. Addition b. Modus Ponens c. simplification d. Modus Tollens

p → q ¬ q ∴ ¬ p is ………………..rule of inference a. Addition b. Modus Ponens c. simplification d. Modus Tollens

p → q q → r ∴ p → r is ………………..rule of inference a. Modus Tollens b. Hypothetical Syllogism c. Modus Ponens d. Disjunctive Syllogism

p∨ q ¬ p ∴ p → r is ………………..rule of inference e. Modus Tollens f. Hypothetical Syllogism g. Modus Ponens h. Disjunctive Syllogism

14. Domain of R ={ …^ … | if^ ( x^ ,^ y ) ∈^ R }

  1. Range of R ={……│if (x,y)∈R}
  2. Empty relation between sets A and B is ………..
  3. Full relation Between Sets A and B is………..

18. Let R be an equivalence relation then equivalence class of a (i.e.)[ a ]

If S is a set and A={ Ai : i =1,2,3^ ,^ …^.^ n } where each Ai is a subset of S then

  1. If ¿^ i =^1 ¿^ n^ AI =S and ¿^ i =^1 ¿^ n^ Ai = φ^ the A is called………………………. of S
  2. If ¿^ i =^1 ¿^ n^ AI =S and ¿^ i =^1 ¿^ n^ Ai = φ^ the Ai '^ s^ are called………………………. of S