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Question (11)

QN0019702

Which equation satisfies Fermat’s equation when n = 2?

(A) 1² + 2² = 4²
(B) 5² + 12² = 13²
(C) 2² + 2² = 5²
(D) 6² + 8² = 15²

Correct Answer: B

Explanation:

25 + 144 = 169 = 13².

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Question (12)

QN0019703

The theorem remained unsolved for approximately:

(A) 50 years
(B) 100 years
(C) 200 years
(D) More than 300 years

Correct Answer: D

Explanation:

It remained an open problem for over 300 years.

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Question (13)

QN0019704

Which exponent does Fermat’s theorem first investigate beyond Pythagorean triples?

(A) 1
(B) 2
(C) 3
(D) 0

Correct Answer: C

Explanation:

The first exponent beyond 2 is 3.

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Question (14)

QN0019705

Which of the following is NOT covered by Fermat’s Last Theorem?

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

Correct Answer: D

Explanation:

The theorem excludes n = 2.

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Question (15)

QN0019706

If n = 2, integer solutions are called:

(A) Prime triples
(B) Baudhāyana triples
(C) Rational triples
(D) Decimal triples

Correct Answer: B

Explanation:

Solutions for n = 2 are called Baudhāyana or Pythagorean triples.

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Question (16)

QN0019707

Which equation contradicts Fermat’s Last Theorem?

(A) Existence of integers satisfying a³ + b³ = c³
(B) 3² + 4² = 5²
(C) 5² + 12² = 13²
(D) 8² + 15² = 17²

Correct Answer: A

Explanation:

Such a solution would violate the theorem.

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Question (17)

QN0019708

Which mathematician finally proved Fermat’s Last Theorem?

(A) Newton
(B) Andrew Wiles
(C) Euler
(D) Gauss

Correct Answer: B

Explanation:

Andrew Wiles proved the theorem in 1994.

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Question (18)

QN0019709

Fermat’s Last Theorem deals only with:

(A) Fractions
(B) Positive integers
(C) Negative numbers
(D) Irrational numbers

Correct Answer: B

Explanation:

The theorem concerns positive integers.

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Question (19)

QN0019710

Which of the following satisfies a² + b² = c²?

(A) (8, 15, 17)
(B) (8, 15, 16)
(C) (7, 8, 10)
(D) (9, 10, 12)

Correct Answer: A

Explanation:

8² + 15² = 17².

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Question (20)

QN0019711

An unsolved mathematical question over a long period is called an:

(A) Algorithm
(B) Open problem
(C) Identity
(D) Formula

Correct Answer: B

Explanation:

A long-unsolved question is called an open problem.

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Question (11)

Which equation satisfies Fermat’s equation when n = 2?

Explanation:

Link:

Question (12)

The theorem remained unsolved for approximately:

Explanation:

Link:

Question (13)

Which exponent does Fermat’s theorem first investigate beyond Pythagorean triples?

Explanation:

Link:

Question (14)

Which of the following is NOT covered by Fermat’s Last Theorem?

Explanation:

Link:

Question (15)

If n = 2, integer solutions are called:

Explanation:

Link:

Question (16)

Which equation contradicts Fermat’s Last Theorem?

Explanation:

Link:

Question (17)

Which mathematician finally proved Fermat’s Last Theorem?

Explanation:

Link:

Question (18)

Fermat’s Last Theorem deals only with:

Explanation:

Link:

Question (19)

Which of the following satisfies a² + b² = c²?

Explanation:

Link:

Question (20)

An unsolved mathematical question over a long period is called an:

Explanation:

Link:

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