Discrete Mathematics-Predicate Logic-Fundamental Proof Procedure [NTA-NET (UGC-NET) Computer Science & Applications (87)]: Questions 1 - 4 of 4

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Question 1

Appeared in Year: 2012

Question MCQ▾

Let be the statement and let there be two quantifications given as

(i)

(ii)

Where are real numbers. Then which one of the following is correct?

(December Paper III)

Choices

Choice (4)Response

a.

(i) is true and (ii) is true

b.

(i) is true and (ii) is false

c.

(i) is false and (ii) is true

d.

(i) is false and (ii) is false

Edit

Question 2

Question MCQ▾

Let P denote .

Then which of these quantifications are true,

Where a, b and c are real numbers.

Which of the following is true?

Choices

Choice (4)Response

a.

Only (i)

b.

Only (ii)

c.

All of the above

d.

None of the above

Edit

Question 3

Question MCQ▾

Which of the following express the negation of the given statement so that the negation symbol is only applied to predicates?

Choices

Choice (4)Response

a.

b.

c.

d.

All of the above

Edit

Question 4

Appeared in Year: 2021

Question MCQ▾

Consider the sentence below. There is a country that borders both India and Pakistan. Which of the following logical expressions express the above sentence correctly when the predicate Country (x) represents that x is a country and Borders represents that the countries x and y share the border?

Choices

Choice (4)Response

a.

∃ c Country (c) Λ Border (c, India) Λ Border (c, Pakistan)

b.

∃ c Country (c) [Border (c, India) Λ Border (c, Pakistan) ]

c.

∃ c Border

d.

[∃ c Country (c) ] [Border (c, India) Λ Border (c, Pakistan) ]

Edit