Showing posts with label cbse-net july 2016 solved paper. Show all posts
Showing posts with label cbse-net july 2016 solved paper. Show all posts

Friday, December 9, 2016

UGC-NET Computer Science July 2016 Solved Paper 2

UGC-NET Computer Science July 2016 Solved Paper 2

Q:: 32 The content of the accumulator after the execution of the following 8085 assembly 

language program, is :

MVI A, 42H

MVI B, 05H

UGC: ADD B

DCR B

JNZ UGC

ADI 25H

HLT

(1) 82 H                                (2) 78 H

(3) 76 H                                (4) 47 H

Answer:: (3)


Explanation::


Content of accumulator register (A):-    01000010

Content of register (B)                   :-    00000101


                                                         A : 01000010
                                                       +B : 00000101
                                                             : 01000111
                                                         B = B - 1
                                                         B = 00000100

                                                          A : 01000111
                                                        +B : 00000100
                                                             :  01001011
                                                         B = B - 1
                                                         B = 00000011
                                                     
                                                          A : 01001011
                                                        +B : 00000011
                                                             :  01001110
                                                         B = B - 1
                                                         B = 00000010


                                                          A : 01001110
                                                        +B : 00000010
                                                              : 01010000           
                                                         B = B - 1
                                                         B = 00000100


                                                        A :  01010000 
                                                      +B :  00000001
                                                           :   01010001           
                                                         B = B - 1
                                                         B = 00000000

Now the loop exits as contents of B register becomes 00000000.

Add 25H to A register
                                       A:-   01010001
                                             +00100101
                                               01110110

So, Contents of accumulator (A) becomes 01110110 i.e. 76H.









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UGC-NET Computer Science July 2016 Solved Paper 2

UGC-NET Computer Science July 2016 Solved Paper 2


Q::11 Given i = 0, j = 1, k = –1, x = 0.5, y = 0.0

         What is the output of the following expression in C language ?

          x * y < i + j || k

          (1) – 1                                      (2)   0

          (3)    1                                      (4)   2


Answer:: (3)


Explanation::

  = x * y < i + j || k

  = 0.5 * 0.0 < 0 + 1 || -1

  = 0.0 <  0 + 1 || -1

  = 0.0 < 1 || -1

  = 1 || -1

 = 1


Here is operator precedence table for you::

CategoryOperatorAssociativity
Postfix() [] -> . ++ - -Left to right
Unary+  -  !  ~  ++  - -   (type)* & sizeofRight to left
Multiplicative* / %Left to right
Additive+ -Left to right
Shift<< >>Left to right
Relational< <= > >=Left to right
Equality== !=Left to right
Bitwise AND&Left to right
Bitwise XOR^Left to right
Bitwise OR|Left to right
Logical AND&&Left to right
Logical OR||Left to right
Conditional?:Right to left
Assignment= += -= *= /= %=>>= <<= &= ^= |=Right to left
Comma,Left to right





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UGC-NET Computer Science July 2016 Solved Paper 2

UGC-NET Computer Science July 2016 Solved Paper 2


Q::9  The simplified form of a boolean equation (AB'+AB'C+AC)(A'C'+B') is :

(1) AB'                                           (2) AB'C
(3) A'B                                           (4) ABC



Answer:: (1)

Explanation::

 =( AB' + AB'C + AC ) ( A'C' + B' )

 =( AB'( 1 + C ) + AC ) ( A'C' + B' )                       [ x + 1 = 1 ]

 =( AB' + AC ) ( A'C' + B' )

 =( AA'B'C' + AB'B' + AA'CC' + AB'C )

 =( 0 + AB' + 0 + AB'C )                                         [ x . x' = 0 ]

 = AB'( 1 + C )

 = AB'
































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Sunday, December 4, 2016

UGC-NET Computer Science July 2016 Solved Paper 2

UGC-NET Computer Science July 2016 Solved Paper 2


Q:: 6  Which of the following logic expressions is incorrect ?
(1) 1 ⊕ 0 = 1
(2) 1 ⊕ 1 ⊕ 1 = 1
(3) 1 ⊕ 1 ⊕ 0 = 1
(4) 1 ⊕ 1 = 0

Answer:: (3)

Explanation::

The symbol  ⊕  stands for X-OR gate. X-OR gives output as 1 when only one of the two inputs are supplied as 1 otherwise 0.

A     B      AB
0      0          0
0      1          1
1      0          1
1      1          0

 So, on inspecting option (3) produce 1 ⊕ 1 ⊕ 0 = 0 ⊕ 0 = 0.
 Hence it is incorrect. All others are correct.


























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UGC-NET Computer Science July 2016 Solved Paper 2

UGC-NET Computer Science July 2016 Solved Paper 2


Q:: A clique in a simple undirected graph is a complete subgraph that is not contained in any
larger complete subgraph. How many cliques are there in the graph shown below ?
(1) 2                       (2) 4
(3) 5                       (4) 6

Answer:: Marks to All

Explanation::


So, there are total 8 cliques in all and no option matches.




























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UGC-NET Computer Science July 2016 Solved Paper 2

UGC-NET Computer Science July 2016 Solved Paper 2

Q::4 There are three cards in a box. Both sides of one card are black, both sides of one card are
red, and the third card has one black side and one red side. We pick a card at random and
observe only one side.
What is the probability that the opposite side is the same color as the one side we
observed ?
(1) 3/4                                  (2) 2/3
(3) 1/2                                  (4) 1/3

Answer:: (2)

Explanation::

Total number of cases = 3 i.e. (BB,RR,BR) Preferred number of cases =2 (BB,RR) since 2 cards have the same colour both sides. Probability = 2/3.






















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UGC-NET Computer Science July 2016 Solved Paper 2

UGC-NET Computer Science July 2016 Solved Paper 2

Q::2 The number of different spanning trees in complete graph, K4 and bipartite graph, K2,2 have ______ and _______ respectively.

 (1) 14, 14  (2) 16, 14

 (3) 16, 4    (4) 14, 4

Answer:: (3)

Explanation::

Let 'n' be total number of vertices in complete graph Kn then total different spanning trees are nn-2 
n = 4 as given then total different spanning trees are 44-2 = 4= 16.

The number of labelled spanning trees in a bipartite graph Km,n is given by mn-1*nm-1 .
As given in question number of spanning trees in bipartite graph K2,2 = 22-1 * 22-1 = 4.








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Sunday, August 14, 2016

UGC-NET Computer Science July 2016 Solved Paper 2

Q::15 What is the value returned by the function f given below when n=100 ?
  int f (int n)
 { 

     if (n==0) then 
           return n;
     else
           return n + f(n-2);
}


 (A)2550                              (B)2556
 (C)5220                              (D)5520

Answer: (A)

Explanation: 

f(100)-->(100 + f(98)-->(98 + f(96)-->96 + f(94)...........  2 + f(0) <-- 0

So, it will be an A.P. 

2 + 4 +6 +8 + ... + 98 + 100 = n(n+1) {Sum of even numbers upto 'n'}

=50 * 51 = 2550.

Hence, Option A is correct.















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Monday, August 1, 2016

UGC-NET Computer Science July 2016 Solved Paper 2

UGC-NET Computer Science July 2016 Solved Paper 2



Q:2 Suppose that R1 and R2 are reflexive relations on a set A.
Which of the following statements is correct ?

(A) R1∩R2 is Reflexive and R1∪R2 is irreflexive
(B) R1∩R2 is irReflexive and R1∪R2 is reflexive
(C) Both R1∩R2 and R1∪R2 are reflexive
(D) Both R1∩R2 and R1 ∪R2 are irreflexive

Answer: C

Explanation:
Suppose if both R1 and R2 are Reflexive, Symmetric and Transitive i.e. R1 and R2 are both equivalence relations then:

R1R2 is Reflexive, Symmetric and Transitive.

R1R2 is Reflexive, Symmetric but not Transitive.














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Friday, July 29, 2016

UGC-NET Computer Science July 2016 Solved Paper 2

UGC-NET Computer Science July 2016 Solved Paper 2


Q:1 How many different equivalence relations with exactly three different equivalence classes are there on a set with five elements?
(A)10
(B)15
(C)25
(D)30

Ans: C
Number of equivalence classes with 5 elements with three elements in each class
 
could be 2,2,1 and 3,1,1.

3,1,1 could be chosen in (5C3*2C1*1C1)/2! = 10

2,2,1 could be chosen in (5C2*3C2*1C1)/2! = 15

So, total 10 + 15 = 25.










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