December 2012 - Paper 3

16:  

The Mandelbrot set used for the construction of beautiful images is based on the following transformation : xn + 1= x2n + z  Here, 

A. Both x & z are real numbers.
B. Both x & z are complex numbers.
C. x is real & z is complex.
D. x is complex & z is real.
 
 

Option: B

Explanation :

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17:  

Which of the following permutations can be obtained in the output using a stack of size 3 elements assuming that input, sequence is 1, 2, 3, 4, 5 ? 

A. 3, 2, 1, 5, 4
B. 5, 4, 3, 2, 1
C. 3, 4, 5, 2, 1
D. 3, 4, 5, 1, 2
 
 

Option: C

Explanation :

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Anuradha said: (7:12pm on Sunday 12th January 2014)
Initially 1, 2, 3 are pushed into stack after that if you want to push 4 in stack then pop 3 then push 4. If you want to push 5 then pop 4 and push 5. After that elements are popped from stack are 5, 2, 1.Hence, the sequence is 3, 4, 5, 2, 1. Therefore, (c) is correct. In second scenario (a) is correct. Hence (a)and (c) both are correct.

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18:  
In a Linear Programming Problem, suppose there are 3 basic variables and 2 non-basic variables, then the possible number of basic solutions are
 
A.

6

B.

8

C.

10

D.

12

 
 

Option: C

Explanation :

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Rama said: (1:32pm on Monday 10th June 2013)
number of basic solutions= <= n!/ m!(n-m)!Here, m=3 n-m=2 So, Ans=10

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19:  

Identify the following activation function :
φ(V) = Z + (1/ 1 + exp (– x * V + Y) ),
Z, X, Y are parameters 

A. Step function
B. Ramp function
C. Sigmoid function
D. Gaussian function
 
 

Option: C

Explanation :

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φ(V) = Z + (1/ 1 + exp (– x * V + Y) ),
Z, X, Y are parameters 

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20:  

The no. of ways to distribute n distinguishable objects into k distinguishable boxes, so that ni objects are placed into box i, i = 1, 2, …. k equals which of the following ?
 

A.

eqn1

B.

eqn2

C.

equation 3

D.

eqn4

 
 

Option: C

Explanation :

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