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445.

Consider the set H of all 3 × 3 matrices of the type

where a,b,c,d,e and f are real numbers and abc≠0. under the matrix multiplication operation, the set H is: [2 marks]
(a) a group
(b) a monoid but not a group
(c) a semi group but not a monoid
(d) neither a group nor a semi group

asked in Computer Science And Engineering, 2005

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446.

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? [2 marks]
(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 P₂ ’s complement

last reply by CpjJwWHV • 12 years ago • asked in Computer Science And Engineering, 2005

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447.

What is the minimum number of ordered pairs of non-negative numbers that should be chosen to ensure that there are two pairs (a,b) and (c,d) in the chosen set such that
a ≡ c mod 3 and b ≡ d mod 5 [2 marks]
(a) 4
(b) 6
(c) 16
(d) 24

asked in Computer Science And Engineering, 2005

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448.

Let f: B→C and g: A→B be two functions let h = fog.Given that h is an onto function which one of the following is TRUE? [2 marks]
(a) f and g should both be onto functions
(b) f should be onto but g need to be onto
(c) g should be onto but f need not be onto
(d) both f and g need to be onto

asked in Computer Science And Engineering, 2005

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449.

Let R and S be any two equivalence relations on a non-empty set A. Which one of the following statements is TRUE? [2 marks]
(a) R∪S, R∩S are both equivalence relations.
(b) R∪S is an equivalence relation.
(c) R∩S is an equivalence relation.
(d) Neither R∪S nor R∩S is an equivalence relation

asked in Computer Science And Engineering, 2005

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450.

What is the first order predicate calculus statement equivalent to the following?
Every teacher is liked by some student [2 marks]

asked in Computer Science And Engineering, 2005

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