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505.

In an M×N matrix such that all non-zero entries are covered in a rows and b columns. Then the maximum number of non-zero entries, such that no two are on the same row or column, is [2 marks]
(a) ≤ a +b
(b) ≤ max(a,b)
(c) ≤ min(M-a,N-b)
(d) ≤ min(a,b)

asked in Computer Science And Engineering, 2004

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506.

Mala has a colouring book in which each English letter is drawn two times. She wants to paint each of these 52 prints with one of k colours, such that he colour pairs used to colour any two lwtters are different. Both prints of a letter can also be coloured with the same colour. What is the minimum value of k that satisfies this requirement? [2 marks]
(a) 9
(b) 8
(c) 7
(d) 6

asked in Computer Science And Engineering, 2004

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507.

An examination paper has 150 multiple choice questions of one mark each, with each question having four choices. Each incorrect answer fetches –0.25 marks. Suppose 1000 students choose all their answers randomly with uniform probability. The sum total of the expected marks obtained by all these students is [2 marks]
(a) 0
(b) 2550
(c) 7525
(d) 9375

asked in Computer Science And Engineering, 2004

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508.

The inclusion of which of the following sets into
S = {{1,2},{1,2,3},{1,3,5},{1,2,4},{1,2,3,4,5}}
is necessary and sufficient to make S a complete lattice under the partial order defined by set containment? [2 marks]
(a) {1}
(b) {1},{2,3}
(c) {1},{1,3}
(d) {1},{1,3},{1,2,3,4},{1,2,3,5}

asked in Computer Science And Engineering, 2004

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509.

The following is the incomplete operation table of a 4-element group.

* e a b c

e e a b c

a a b c e

b

c

The last row of the table is [2 marks]
(a) c a e b
(b) c b a e
(c) c b e a
(d)c e a b

last reply by CpjJwWHV • 14 years ago • asked in Computer Science And Engineering, 2004

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510.

How many solutions does the following system of linear equations have? [2 marks]
-x+5y = -1
x-y =2
x+3y=3
(a) infinitely many
(b) two distinct solutions
(c) unique
(d) none

asked in Computer Science And Engineering, 2004

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