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Question (11)

QN0019662

Verify whether (8, 15, 17) is a Baudhāyana triple.

(A) No, because 8 + 15 ≠ 17
(B) Yes, because 64 + 225 = 289
(C) No, because 17 < 15
(D) Yes, because 8 × 15 = 120

Correct Answer: B

Explanation:

8² + 15² = 17².

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Question (12)

QN0019663

The triple (15, 36, 39) is obtained by scaling which primitive triple?

(A) (3, 4, 5)
(B) (5, 12, 13)
(C) (8, 15, 17)
(D) (7, 24, 25)

Correct Answer: A

Explanation:

Dividing by 3 gives (5, 12, 13).

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Question (13)

QN0019664

Which of the following is a scaled version of (5, 12, 13)?

(A) (10, 24, 26)
(B) (10, 20, 30)
(C) (15, 20, 25)
(D) (6, 8, 10)

Correct Answer: A

Explanation:

Multiplying each term of (5, 12, 13) by 2 gives (10, 24, 26).

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Question (14)

QN0019665

If (a, b, c) is a Baudhāyana triple, then (2a, 2b, 2c) is:

(A) Never a triple
(B) Sometimes a triple
(C) Always a triple
(D) A primitive triple

Correct Answer: C

Explanation:

Multiplying all terms by the same integer preserves the relation a² + b² = c².

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Question (15)

QN0019666

Which triple is primitive?

(A) (10, 24, 26)
(B) (5, 12, 13)
(C) (12, 16, 20)
(D) (18, 24, 30)

Correct Answer: B

Explanation:

The numbers 5, 12, and 13 have no common factor greater than 1.

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Question (16)

QN0019667

The triple (9, 40, 41) is a Baudhāyana triple because:

(A) 9 + 40 = 41
(B) 81 + 1600 = 1681
(C) 9 × 40 = 360
(D) 41² = 41

Correct Answer: B

Explanation:

9² + 40² = 41².

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Question (17)

QN0019668

Which of the following is NOT primitive?

(A) (7, 24, 25)
(B) (8, 15, 17)
(C) (12, 16, 20)
(D) (5, 12, 13)

Correct Answer: C

Explanation:

All three numbers are divisible by 4.

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Question (18)

QN0019669

The triple (12, 16, 20) has common factor:

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

Correct Answer: C

Explanation:

12, 16, and 20 are all divisible by 4.

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Question (19)

QN0019670

Which of the following satisfies a² + b² = c²?

(A) (4, 5, 6)
(B) (7, 8, 9)
(C) (20, 21, 29)
(D) (10, 11, 12)

Correct Answer: C

Explanation:

20² + 21² = 400 + 441 = 841 = 29².

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Question (20)

QN0019671

Baudhāyana triples are also known as:

(A) Algebraic triples
(B) Pythagorean triples
(C) Arithmetic triples
(D) Geometric triples

Correct Answer: B

Explanation:

Baudhāyana triples are commonly called Pythagorean triples.

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Question (11)

Verify whether (8, 15, 17) is a Baudhāyana triple.

Explanation:

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Question (12)

The triple (15, 36, 39) is obtained by scaling which primitive triple?

Explanation:

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Question (13)

Which of the following is a scaled version of (5, 12, 13)?

Explanation:

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Question (14)

If (a, b, c) is a Baudhāyana triple, then (2a, 2b, 2c) is:

Explanation:

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Question (15)

Which triple is primitive?

Explanation:

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Question (16)

The triple (9, 40, 41) is a Baudhāyana triple because:

Explanation:

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Question (17)

Which of the following is NOT primitive?

Explanation:

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Question (18)

The triple (12, 16, 20) has common factor:

Explanation:

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Question (19)

Which of the following satisfies a² + b² = c²?

Explanation:

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Question (20)

Baudhāyana triples are also known as:

Explanation:

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