Download IGNOU 2020 Ph D In Computer Science 4Th Oct 2020 Shift 1 Set 2 Question Paper

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National Testing Agency

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Ph.D in Computer Science

SECTION A RESEARCH METHODOLOGY

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Question Number : 1 Question Id : 9286274188 Question Type : MCQ Option Shuffling : Yes Is Question Mandatory : No Correct Marks : 1 Wrong Marks : 0

The number of elements in the power set of set {{a, b}, {c, d}, e} is

Options:

1. 4
   

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   92862716001.
2. 8
   92862716002.
3. 32
   92862716003.

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4. 3
   92862716004.

Question Number : 1 Question Id : 9286274188 Question Type : MCQ Option Shuffling : Yes Is Question Mandatory : No Correct Marks : 1 Wrong Marks : 0

? {{a, b}, {c, d}, e} ? ? ? (power set) ? ? (elements) ? ? ? ?

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Options:

1. 4
   92862716001.
2. 8
   92862716002.

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3. 32
   92862716003.
4. 3
   92862716004.

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Question Number : 2 Question Id : 9286274189 Question Type : MCQ Option Shuffling : Yes Is Question Mandatory : No Correct Marks : 1 Wrong Marks : 0

If A and B are two sets, then A - B will contain elements

Options:

1. Neither in A nor in B
   92862716005.

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2. Not in B, but in A
   92862716006.
3. Not in A, but in B
   92862716007.
4. Exists in both A and B
   

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   92862716008.

Question Number : 2 Question Id : 9286274189 Question Type : MCQ Option Shuffling : Yes Is Question Mandatory : No Correct Marks : 1 Wrong Marks : 0

? A ? B ? ? ?, ? A – B ? ? (elements) ?

Options:

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1. ? ? A ? ? ? ? B ?
   92862716005.
2. B ? ?, ? A ?
   92862716006.
3. A ? ?, ? B ?
   

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   92862716007.
4. A ? B ? ?
   92862716008.

Question Number : 3 Question Id : 9286274190 Question Type : MCQ Option Shuffling : Yes Is Question Mandatory : No Correct Marks : 1 Wrong Marks : 0

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If A = {1, 2, 3, 4, 5, 6}, then power set of A, P(A) will be having total elements

Options:

1. 6
   92862716009.
2. 36
   

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   92862716010.
3. 64
   92862716011.
4. 12
   92862716012.

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Question Number : 3 Question Id : 9286274190 Question Type : MCQ Option Shuffling : Yes Is Question Mandatory : No Correct Marks : 1 Wrong Marks : 0

? A = {1, 2, 3, 4, 5, 6}, ? A, P(A) ? ? ? ? ? ? (elements) ? ?

Options:

1. 6
   

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   92862716009.
2. 36
   92862716010.
3. 64
   92862716011.

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4. 12
   92862716012.

Question Number : 4 Question Id : 9286274191 Question Type : MCQ Option Shuffling : Yes Is Question Mandatory : No Correct Marks : 1 Wrong Marks : 0

Dual of (A?B) n C will be

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Options:

1. (A?B) ? C
   92862716013.
2. (A n B) n C
   92862716014.

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3. (A n B) ? C
   92862716015.
4. None of these
   92862716016.

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Question Number : 4 Question Id : 9286274191 Question Type : MCQ Option Shuffling : Yes Is Question Mandatory : No Correct Marks : 1 Wrong Marks : 0

(A?B) n C ? ? (Dual) ?

Options:

1. (A?B) ? C
   92862716013.

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2. (A n B) n C
   92862716014.
3. (A n B) ? C
   92862716015.
4. ? ? ? ?
   

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   92862716016.

Question Number : 5 Question Id : 9286274192 Question Type : MCQ Option Shuffling : Yes Is Question Mandatory : No Correct Marks : 1 Wrong Marks : 0

If f^-1(x) = -2x + 2, then f(x) is

Options:

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1. -x + 2
   92862716017.
2. x - 2
   92862716018.
3. (1/2)x + 1
   

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   92862716019.
4. x + 2
   92862716020.

Question Number : 5 Question Id : 9286274192 Question Type : MCQ Option Shuffling : Yes Is Question Mandatory : No Correct Marks : 1 Wrong Marks : 0

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? f^-1(x) = -2x + 2, ? f(x) ?

Options:

1. -x + 2
   92862716017.
2. x - 2
   

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   92862716018.
3. (1/2)x + 1
   92862716019.

Question Number : 6 Question Id : 9286274193 Question Type : MCQ Option Shuffling : Yes Is Question Mandatory : No Correct Marks : 1 Wrong Marks : 0

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A survey shows that in a city 63% of the citizens like tea whereas 76% like coffee. If X like both tea and coffee, then

Options:

1. X = 63
   92862716021.
2. X = 76
   

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   92862716022.
3. 39 = X = 63
   92862716023.
4. 63 = X = 76
   92862716024.

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Question Number : 6 Question Id : 9286274193 Question Type : MCQ Option Shuffling : Yes Is Question Mandatory : No Correct Marks : 1 Wrong Marks : 0

? ? ? ? ? ? ? ? 63% ? ? ? 76% ? ? ? ? X% ? ? ? ? ? ? ? ?, ?

Options:

1. X = 63
   

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   92862716021.
2. X = 76
   92862716022.
3. 39 = X = 63
   92862716023.

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4. 63 = X = 76
   92862716024.

Question Number : 7 Question Id : 9286274194 Question Type : MCQ Option Shuffling : Yes Is Question Mandatory : No Correct Marks : 1 Wrong Marks : 0

Let A = {1, 3, 5} and B = {2, 4, 7}. If a relation R is defined as R = {(1, 2), (3, 4), (5, 7)}, R^-1 is defined by

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Options:

1. {(1, 2), (3, 4), (7, 5)}
   92862716025.
2. {(1, 1), (3, 3), (5, 5)}
   92862716026.

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3. {(2, 2), (4, 4), (7, 7)}
   92862716027.
4. {(2, 1), (4, 3), (7, 5)}
   92862716028.

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Question Number : 7 Question Id : 9286274194 Question Type : MCQ Option Shuffling : Yes Is Question Mandatory : No Correct Marks : 1 Wrong Marks : 0

? ? A = {1, 3, 5} ? B = {2, 4, 7}. ? ? ? ? R = {(1, 2), (3, 4), (5, 7)} ? ? ? ? R ? ?, ? R¯¹ ? ? ? ?

Options:

1. {(1, 2), (3, 4), (7, 5)}
   92862716025.

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2. {(1, 1), (3, 3), (5, 5)}
   92862716026.
3. {(2, 2), (4, 4), (7, 7)}
   92862716027.
4. {(2, 1), (4, 3), (7, 5)}
   

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   92862716028.

Question Number : 8 Question Id : 9286274195 Question Type : MCQ Option Shuffling : Yes Is Question Mandatory : No Correct Marks : 1 Wrong Marks : 0

Let A and B be sets and A^c and B^c denote the complements of A and B respectively, then the set (A - B) ? (B-A) ? (A n B) is equal to

Options:

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1. A ? B
   92862716029.
2. A n B
   92862716030.
3. A^c ? B^c
   

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   92862716031.
4. A^c n B^c
   92862716032.

Question Number : 8 Question Id : 9286274195 Question Type : MCQ Option Shuffling : Yes Is Question Mandatory : No Correct Marks : 1 Wrong Marks : 0

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? ? A ? B ? ? ? A^c ? B^c ? ? A ? B ? ? (complements) ? ? ? ?, ? ? (A - B) ? (B-A) ? (A n B) ? ? ? ?

Options:

1. A ? B
   92862716029.
2. A n B
   

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   92862716030.
3. A^c ? B^c
   92862716031.
4. A^c n B^c
   92862716032.

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Question Number : 9 Question Id : 9286274196 Question Type : MCQ Option Shuffling : Yes Is Question Mandatory : No Correct Marks : 1 Wrong Marks : 0

If set A has p elements and set B has q elements, then the number of elements in A × B

Options:

1. p^q
   

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   92862716033.
2. pq
   92862716034.
3. p+q
   92862716035.

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4. p/q
   92862716036.

Question Number : 9 Question Id : 9286274196 Question Type : MCQ Option Shuffling : Yes Is Question Mandatory : No Correct Marks : 1 Wrong Marks : 0

? ? A ? p ? (elements) ? ? ? B ? q ? ?, ? A × B ? ? ? ?

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Options:

1. p^q
   92862716033.
2. pq
   92862716034.

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3. p+q
   92862716035.
4. p/q
   92862716036.

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Question Number : 10 Question Id : 9286274197 Question Type : MCQ Option Shuffling : Yes Is Question Mandatory : No Correct Marks : 1 Wrong Marks : 0

In a school there are 40 teachers who teach Mathematics or Physics. Of those 24 teach Mathematics and 8 teach both Physics and Mathematics. The number of teachers in Physics are

Options:

1. 20
   92862716037.

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2. 16
   92862716038.
3. 26
   92862716039.
4. 24
   

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   92862716040.

Question Number : 10 Question Id : 9286274197 Question Type : MCQ Option Shuffling : Yes Is Question Mandatory : No Correct Marks : 1 Wrong Marks : 0

? ? ? 40 ? ? ? ? ? ? ? ? ? ? ? 24 ? ? 8 ? ? ? ? ? ? ? ? ? ? ? ? ? ?

Options:

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1. 20
   92862716037.
2. 16
   92862716038.
3. 26
   

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   92862716039.
4. 24
   92862716040.

Question Number : 11 Question Id : 9286274198 Question Type : MCQ Option Shuffling : Yes Is Question Mandatory : No Correct Marks : 1 Wrong Marks : 0

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If X is a Column Matrix, then its transpose is ________.

Options:

1. Column Matrix
   92862716041.
2. Diagonal Matrix
   

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   92862716042.
3. Zero Matrix
   92862716043.
4. Row Matrix
   92862716044.

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Question Number : 11 Question Id : 9286274198 Question Type : MCQ Option Shuffling : Yes Is Question Mandatory : No Correct Marks : 1 Wrong Marks : 0

? X ? ? ? ?, ? ? ? (transpose) ________ ?

Options:

1. ? ?
   

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   92862716041.
2. ? ? (Diagonal Matrix)
   92862716042.
3. ? ?
   92862716043.

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4. ? (Row) ?
   92862716044.

Question Number : 12 Question Id : 9286274199 Question Type : MCQ Option Shuffling : Yes Is Question Mandatory : No Correct Marks : 1 Wrong Marks : 0

If X is a skew symmetric odd ordered matrix of integers, then ________ is true.

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Options:

1. det (X) = 16
   92862716045.
2. det (X) = 0
   92862716046.

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3. det (X) = 4
   92862716047.
4. det (X) = 2
   92862716048.

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Question Number : 12 Question Id : 9286274199 Question Type : MCQ Option Shuffling : Yes Is Question Mandatory : No Correct Marks : 1 Wrong Marks : 0

? X ? (integers) ? ? ? ? ? ? ?, ? ________ ? ?

Options:

1. det (X) = 16
   92862716045.

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2. det (X) = 0
   92862716046.
3. det (X) = 4
   92862716047.

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Question Number : 13 Question Id : 9286274200 Question Type : MCQ Option Shuffling : Yes Is Question Mandatory : No Correct Marks : 1 Wrong Marks : 0

If X is a Square Matrix, then its transpose is ________.

Options:

1. Column Matrix
   92862716049.

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2. Row Matrix
   92862716050.
3. Null Matrix
   92862716051.
4. Square Matrix
   

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   92862716052.

Question Number : 13 Question Id : 9286274200 Question Type : MCQ Option Shuffling : Yes Is Question Mandatory : No Correct Marks : 1 Wrong Marks : 0

? X ? ? ? ?, ? ? ? (Transpose) ?

Options:

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1. ? ?
   92862716049.
2. ? (Row) ?
   92862716050.
3. ? (Null) ?
   

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   92862716051.
4. ? (Square) ?
   92862716052.

Question Number : 14 Question Id : 9286274201 Question Type : MCQ Option Shuffling : Yes Is Question Mandatory : No Correct Marks : 1 Wrong Marks : 0

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If X is a Matrix and its determinant is zero, then it is ________.

Options:

1. Singular Matrix
   92862716053.
2. Identity Matrix
   

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   92862716054.
3. Square Matrix
   92862716055.
4. Non-singular Matrix
   92862716056.

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Question Number : 14 Question Id : 9286274201 Question Type : MCQ Option Shuffling : Yes Is Question Mandatory : No Correct Marks : 1 Wrong Marks : 0

? X ? ? ? ? ? ? (determinant) ? ?, ? ? ? ________?

Options:

1. ? ?
   

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   92862716053.
2. ? ?
   92862716054.
3. ? ?
   92862716055.

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4. ?-? ?
   92862716056.

Question Number : 15 Question Id : 9286274202 Question Type : MCQ Option Shuffling : Yes Is Question Mandatory : No Correct Marks : 1 Wrong Marks : 0

If X and Y are Square Matrices and their degrees are equal, then ________ is true.

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Options:

1. X - Y = Y - X
   92862716057.
2. XY = YX
   92862716058.

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3. X + Y = Y + X
   92862716059.
4. X - Y = X + Y
   92862716060.

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Question Number : 15 Question Id : 9286274202 Question Type : MCQ Option Shuffling : Yes Is Question Mandatory : No Correct Marks : 1 Wrong Marks : 0

? X ? Y ? ? ? ? ? ? ? ?, ? ________ ? ?

Options:

1. X - Y = Y - X
   92862716057.

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2. XY = YX
   92862716058.
3. X + Y = Y + X
   92862716059.



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