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Arpita
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Joined: 04Jan2007
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Quote Arpita Replybullet Topic: CSE GATE sample papers
    Posted: 04Jan2007 at 6:36pm


1 Consider three decision problems P1, P2 and P3. It is known that P1 is decidable and P2 is undecidable. Which one of the following is TRUE?
Options
A) P3 is decidable if P1 is reducible to P3 B) P3 is undecidable if P3 is reducible to P2
C) P3 is undecidable if P2 is reducible to P3
D) P3 is decidable if P3 is reducible to P2s complement


Correct Answer A

2

Which one of the following are essential features of an object-oriented
programming language?

(i) Abstraction and encapsulation
(ii) Strictly-typedness
(iii)  Type-safe property coupled with sub-type rule
(iv) Polymorphism in the presence of inheritance

Options
A) (i) and (ii) only B) (i) and (iv) only
C) (i), (ii) and (iv) only D) (i), (iii) and (iv) only


Correct Answer B

3 Consider the following relation schema pertaining to a students database:
Student (rollno, name, address)
Enroll (rollno, courseno, coursename)
where the primary keys are shown underlined. The number of tuples in the Student and Enroll tables are 120 and 8 respectively. What are the maximum and minimum number of tuples that can be present in (Student * Enroll), where ‘*’denotes natural join?
Options
A) 8, 8  B) 120, 8
C) 960, 8  D) 960, 120


Correct Answer C

4

Assume the following C variable declaration

         int *A [10], B [10][10];

Of the following expressions

I        A[2]                II     A [2] [3]

III     B                IV    B[2][3]

which will not give compile-time errors if used as left hand sides of assignment statements in a C program ?

Options
A) I, II, and IV only               B) II, III, and IV only
C) II and IV only   D) IV only

 



Correct Answer D

5 How many distinct binary search trees can be created out of 4 distinct keys?
Options
A) 5 B) 14
C) 24 D) 42


Correct Answer B

6 Given the following input (4322, 1334, 1471, 9679, 1989, 6171, 6173, 4199) and the hash function x mod 10, which of the following statements are true ?
(i) 9679, 1989, 4199 hash to the same value
(ii) 1471, 6171 hash to the same value
(iii) All elements hash to the same value
(iv) Each element hashes to a different value
Options
A) (i) only B) (ii) only
C) (i) and (ii) only  D)  (iii) or (iv)


Correct Answer C

7 Packets of the same session may be routed through different paths in
Options
A) TCP, but not UDP B) TCP and UDP
C) UDP, but not TCP D) Neither TCP, nor UDP


Correct Answer B

8 The following numbers are inserted into an empty binary search tree in the given order: 10, 1, 3, 5, 15, 12, 16. What is the height of the binary search tree (the height is the maximum distance of a leaf node from the root)?
Options
A) 2 B) 3
C) 4 D) 6


Correct Answer B

9 Postorder traversal of a given binary search tree, T produces the following sequence of keys
10, 9, 23, 22, 27, 25, 15, 50, 95, 60, 40, 29
Which one of the following sequences of keys can be the result of an inorder traversal of the tree T?
Options
A) 9, 10, 15, 22, 23, 25, 27, 29, 40, 50, 60, 95 B) 9, 10, 15, 22, 40, 50, 60, 95, 23, 25, 27, 29
C) 29, 15, 9, 10, 25, 22, 23, 27, 40, 60, 50, 95
D) 95, 50, 60, 40, 27, 23, 22, 25, 10, 9, 15, 29


Correct Answer A

10 Let f: B ® C and g: A ® B be two functions and let h = f o g. Given that h is an onto function. Which one of the following is TRUE?
Options
A) f and g should both be onto functions. B) f should be onto but g need not be onto
C) g should be onto but f need not be onto  D) both f and g need not be onto


Correct Answer B




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