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Question (31)

QN0019722

Which equation is true?

(A) nor
(B)
(C) Both
(D) Neither

Correct Answer: C

Explanation:

3² + 4² = 9 + 16 = 25 = 5².

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Question (32)

QN0019723

A proof in mathematics is used to:

(A) Guess a result
(B) Verify a statement logically
(C) Draw figures only
(D) Estimate values

Correct Answer: B

Explanation:

A proof establishes the truth of a statement logically.

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Question (33)

QN0019724

Which value of n belongs to Fermat’s Last Theorem?

(A) 2
(B) 1
(C) 4
(D) 0

Correct Answer: C

Explanation:

Fermat’s Last Theorem applies for all n > 2.

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Question (34)

QN0019725

Which mathematician’s claim remained open for centuries?

(A) Euclid’s
(B) Fermat’s
(C) Newton’s
(D) Archimedes’

Correct Answer: B

Explanation:

Fermat’s claim remained unproved for over 300 years.

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Question (35)

QN0019726

The theorem states that integer solutions do not exist for:

(A) n = 2
(B) n > 2
(C) n < 2
(D) All values of n

Correct Answer: B

Explanation:

No positive integer solutions exist for exponents greater than 2.

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Question (36)

QN0019727

Which branch of mathematics is mainly involved in Fermat’s Last Theorem?

(A) Number theory
(B) Statistics
(C) Geometry only
(D) Mensuration

Correct Answer: A

Explanation:

Fermat’s Last Theorem is a problem in number theory.

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Question (37)

QN0019728

Which of the following is an example of a Pythagorean triple?

(A) (9, 40, 41)
(B) (9, 10, 11)
(C) (8, 9, 10)
(D) (4, 6, 8)

Correct Answer: A

Explanation:

9² + 40² = 41².

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Question (38)

QN0019729

Fermat’s Last Theorem became famous because it:

(A) Was easy to prove
(B) Remained unsolved for centuries
(C) Had no applications
(D) Used only geometry

Correct Answer: B

Explanation:

It remained an open problem for over 300 years.

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Question (39)

QN0019730

Which statement is true?

(A) Integer solutions exist for n = 2.
(B) Integer solutions exist for all n > 2.
(C) Integer solutions exist only for prime n.
(D) No integer solutions exist for n = 2.

Correct Answer: A

Explanation:

Pythagorean triples provide solutions when n = 2.

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Question (40)

QN0019731

The study of whole numbers and their properties is called:

(A) Algebra
(B) Geometry
(C) Number theory
(D) Trigonometry

Correct Answer: C

Explanation:

Number theory studies integers and their properties.

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Question (31)

Which equation is true?

Explanation:

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Question (32)

A proof in mathematics is used to:

Explanation:

Link:

Question (33)

Which value of n belongs to Fermat’s Last Theorem?

Explanation:

Link:

Question (34)

Which mathematician’s claim remained open for centuries?

Explanation:

Link:

Question (35)

The theorem states that integer solutions do not exist for:

Explanation:

Link:

Question (36)

Which branch of mathematics is mainly involved in Fermat’s Last Theorem?

Explanation:

Link:

Question (37)

Which of the following is an example of a Pythagorean triple?

Explanation:

Link:

Question (38)

Fermat’s Last Theorem became famous because it:

Explanation:

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Question (39)

Which statement is true?

Explanation:

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Question (40)

The study of whole numbers and their properties is called:

Explanation:

Link:

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