Roll No.
Total No. of Pages : 02
Total No. of Questions : 18
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(Sem.-3)
B.Tech.(CSE/IT) (2011 Batch)
DISCRETE STRUCTURES
Subject Code : BTCS-302
M.Code: 56592
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Time: 3 Hrs. Max. Marks : 60
INSTRUCTIONS TO CANDIDATES :
- 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.
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SECTION-A
Answer briefly :
- Multigraph
- Total order relation
- Order of recurrence relation
- Cutset
- Bijective function
- Boolean ring
- Semigroup
- Chromatic ring
- Group
- Complexity of linear search
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SECTION-B
- Define Hashing? Explain its advantages.
- Prove that intersection of two equivalence relations is an equivalence relation.
- Show that the intersection of two left ideals of a ring is again a left ideal of a ring.
- Solve the recurrence relation an + 5an-1 + 6an–2 = 3n² – 2n + 1
- Prove that a connected graph G is Eulerian if and only if all vertices are of even degree.
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SECTION-C
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- Define abelian group. Discuss its properties.
- Show that union of two subgroups is a subgroup if and only if one is contained in other.
- Show that S is an ideal of S+T, where S is an ideal of ring R and T any subring of R.
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 3rd Semester Last 10 Years 2011-2021 Previous Question Papers|| Punjab Technical University
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