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Question (1)

QN0019692

Which famous mathematical statement remained unsolved for more than 300 years?

(A) Pythagoras Theorem
(B) Fermat’s Last Theorem
(C) Euclid’s Theorem
(D) Thales’ Theorem

Correct Answer: B

Explanation:

Fermat’s Last Theorem remained unsolved for over 300 years.

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Question (2)

QN0019693

Fermat’s Last Theorem is related to equations of the form:

(A) a + b = c
(B) a² + b² = c²
(C) aⁿ + bⁿ = cⁿ
(D) ab = c

Correct Answer: C

Explanation:

The theorem studies equations of the form aⁿ + bⁿ = cⁿ.

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Question (3)

QN0019694

According to Fermat’s Last Theorem, there are no positive integers satisfying aⁿ + bⁿ = cⁿ when:

(A) n = 1
(B) n = 2
(C) n > 2
(D) n < 2

Correct Answer: C

Explanation:

Fermat’s theorem states that no positive integer solutions exist for n > 2.

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Question (4)

QN0019695

Who proposed the famous theorem known as Fermat’s Last Theorem?

(A) Euclid
(B) Pierre de Fermat
(C) Aryabhata
(D) Baudhāyana

Correct Answer: B

Explanation:

Pierre de Fermat proposed the theorem.

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Question (5)

QN0019696

The equation 3² + 4² = 5² shows that solutions exist when:

(A) n = 3
(B) n = 4
(C) n = 2
(D) n = 5

Correct Answer: C

Explanation:

Pythagorean triples exist for n = 2.

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Question (6)

QN0019697

Fermat claimed that he had discovered:

(A) An easy proof
(B) A beautiful proof
(C) A difficult proof
(D) No proof

Correct Answer: B

Explanation:

Fermat wrote that he had a truly marvelous proof.

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Question (7)

QN0019698

Which exponent is specifically excluded from Fermat’s Last Theorem?

(A) n = 0
(B) n = 1
(C) n = 2
(D) n = 10

Correct Answer: C

Explanation:

The theorem applies only for exponents greater than 2.

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Question (8)

QN0019699

Which of the following is a solution of a² + b² = c²?

(A) (2, 3, 4)
(B) (3, 4, 5)
(C) (4, 5, 8)
(D) (5, 6, 7)

Correct Answer: B

Explanation:

3² + 4² = 5².

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Question (9)

QN0019700

Fermat wrote his statement in the margin of a:

(A) Notebook
(B) Geometry box
(C) Book
(D) Blackboard

Correct Answer: C

Explanation:

Fermat wrote the statement in the margin of a book.

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Question (10)

QN0019701

Which statement exactly expresses Fermat’s Last Theorem?

(A) aⁿ + bⁿ = cⁿ has infinitely many solutions for n > 2.
(B) No positive integers satisfy aⁿ + bⁿ = cⁿ for n > 2.
(C) Solutions exist for all n.
(D) Solutions exist only for odd n.

Correct Answer: B

Explanation:

This is the exact statement of Fermat’s Last Theorem.

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Question (1)

Which famous mathematical statement remained unsolved for more than 300 years?

Explanation:

Link:

Question (2)

Fermat’s Last Theorem is related to equations of the form:

Explanation:

Link:

Question (3)

According to Fermat’s Last Theorem, there are no positive integers satisfying aⁿ + bⁿ = cⁿ when:

Explanation:

Link:

Question (4)

Who proposed the famous theorem known as Fermat’s Last Theorem?

Explanation:

Link:

Question (5)

The equation 3² + 4² = 5² shows that solutions exist when:

Explanation:

Link:

Question (6)

Fermat claimed that he had discovered:

Explanation:

Link:

Question (7)

Which exponent is specifically excluded from Fermat’s Last Theorem?

Explanation:

Link:

Question (8)

Which of the following is a solution of a² + b² = c²?

Explanation:

Link:

Question (9)

Fermat wrote his statement in the margin of a:

Explanation:

Link:

Question (10)

Which statement exactly expresses Fermat’s Last Theorem?

Explanation:

Link:

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