This download link is referred from the post: PTU B.Tech Question Papers 2020 March (All Branches)
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Firstranker's choice
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Roll No. ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ Total No. of Pages : 02
Total No. of Questions : 18
B.Tech.(Computer Science & Engineering) (Sem.=3)
DISCRETE STRUCTURES
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Subject Code : BTCS-302M.Code : 56592
Time : 3 Hrs. Max. Marks : 60
INSTRUCTIONS TO CANDIDATES :
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- SECTION-A is COMPULSORY consisting of TEN questions carrying TWO marks each.
- SECTION-B contains FIVE questions carrying FIVE marks each and students have to attempt any FOUR questions.
- SECTION-C contains THREE questions carrying TEN marks each and students have to attempt any TWO questions.
SECTION-A
Answer briefly :
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- Define Partial order relations.
- Define Hashing Functions.
- Define Sub-Ring.
- Define Euclidean Domain.
- In how many ways can an 8 people be seated in a round table?
- Define Semi-Group.
- Define Monoids.
- Define Dihedral Groups.
- Define un-directed graph.
- Define Chromatic number.
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Firstranker's choiceSECTION-B
- Let R be the relation on the set {0,1,2,3} containing the ordered pairs (0,1), (1,1), (1,2), (2,0), (2,2), and (3,0). What is the reflexive closure, symmetric closure and transitive closure of R?
- Find the field of quotients of the integral domain Z (\/E )
- Solve: T(k) — 8T(K — 1) + 16T(K — 2) = 0.
- Let G be a finite group and let a € G be an element of order n. Then show that " = e if n is a divisor of m.
- State and prove Euler Formula.
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SECTION-C
- Prove that any finite semi-group is a group iff both the cancellation laws hold.
- If I and J be any two ideals of a ring R, then prove that ZJ is an ideal of R. Moreover I JcInd.
- A finite connected graph is Eulerian iff each vertex has even degree.
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NOTE : Disclosure of Identity by writing Mobile No. or Making of passing request on any page of Answer Sheet will lead to UMC against the Student.
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This download link is referred from the post: PTU B.Tech Question Papers 2020 March (All Branches)
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