Set Theory & Algebra [GATE (Graduate Aptitude Test in Engineering) Computer Science]: Questions 1 - 6 of 98

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Question 1

Question MCQ▾

If AC power has a frequency of 80 Hz. What is the period of this sine wave?

Choices

Choice (4)Response

a.

12.5

b.

78.3

c.

16.5

d.

All of the above

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Question 2

Question MCQ▾

The period of a signal is 200 ms. what is its frequency in kilohertz?

Choices

Choice (4)Response

a.

b.

c.

d.

All of the above

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Question 3

Appeared in Year: 2015

Question MCQ▾

Which of the following properties a Group G must hold, in order to be an Abelian group?

(1) The distributive property

(2) The commutative property

(3) The symmetric property (December)

Choices

Choice (4)Response

a.

(2) only

b.

(2) and (3)

c.

(1) and (2)

d.

(1) only

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Question 4

Appeared in Year: 2015

Question MCQ▾

There are exactly … different finite automata with three states x, y and z over the alphabet {a, b} where x is always the start state. (December)

Choices

Choice (4)Response

a.

5832

b.

1024

c.

256

d.

64

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Question 5

Appeared in Year: 2015

Question MCQ▾

A horn clause is … (December)

Choices

Choice (4)Response

a.

A disjunction of a number of literals

b.

A clause that has at most one positive literal.

c.

A clause in which no variables occur in the expression

d.

A clause that has at least one negative literal

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Question 6

Appeared in Year: 2010

Question MCQ▾

x1 is a clone of x” means x1 is identical to x in terms of the physical attributes namely, height, weight and complexion. Given, height, weight and complexion only form a complete set of attributes for an entity, cloning is an equivalence relation. What is your impression about this statement? (June Paper II)

Choices

Choice (4)Response

a.

The statement is true

b.

The statement is false

c.

The truth value of the statement cannot be computed

d.

Question does not provide sufficient data or is vague

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