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Question (21)

QN0019672

Which triple is obtained by multiplying (3, 4, 5) by 5?

(A) (12, 16, 20)
(B) (15, 20, 25)
(C) (18, 24, 30)
(D) (21, 28, 35)

Correct Answer: B

Explanation:

5 × (3, 4, 5) = (15, 20, 25).

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Question (22)

QN0019673

If (3, 4, 5) is multiplied by 7, the resulting triple is:

(A) (21, 28, 35)
(B) (14, 21, 28)
(C) (24, 35, 37)
(D) (27, 36, 45)

Correct Answer: A

Explanation:

7 × (3, 4, 5) = (21, 28, 35).

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Question (23)

QN0019674

Which of the following is a right triangle triple?

(A) (11, 60, 61)
(B) (8, 9, 10)
(C) (5, 6, 7)
(D) (10, 10, 14)

Correct Answer: A

Explanation:

11² + 60² = 61².

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Question (24)

QN0019675

The triple (16, 30, 34) is obtained from which primitive triple?

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

Correct Answer: B

Explanation:

Dividing by 2 gives (8, 15, 17).

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Question (25)

QN0019676

Which of the following has no common factor greater than 1?

(A) (6, 8, 10)
(B) (14, 48, 50)
(C) (7, 24, 25)
(D) (15, 20, 25)

Correct Answer: C

Explanation:

The numbers 7, 24, and 25 are coprime.

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Question (26)

QN0019677

If (a, b, c) is a Baudhāyana triple and k is a positive integer, then (ka, kb, kc):

(A) Is never a triple
(B) Is always a triple
(C) Is primitive
(D) Has equal sides

Correct Answer: B

Explanation:

Multiplying each term by k preserves the triple property.

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Question (27)

QN0019678

Which of the following is NOT a scaled version of (3, 4, 5)?

(A) (6, 8, 10)
(B) (9, 12, 15)
(C) (12, 16, 20)
(D) (8, 15, 17)

Correct Answer: D

Explanation:

(8, 15, 17) is a different primitive triple.

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Question (28)

QN0019679

The triple (5, 12, 13) has hypotenuse:

(A) 5
(B) 12
(C) 13
(D) 17

Correct Answer: C

Explanation:

The largest number in a triple is the hypotenuse.

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Question (29)

QN0019680

If a triple has common factor 5, then it is:

(A) Primitive
(B) Non-primitive
(C) Impossible
(D) Irrational

Correct Answer: B

Explanation:

A primitive triple has no common factor greater than 1.

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Question (30)

QN0019681

The triple (27, 36, 45) is obtained by multiplying (3, 4, 5) by:

(A) 7
(B) 8
(C) 9
(D) 10

Correct Answer: C

Explanation:

9 × (3, 4, 5) = (27, 36, 45).

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Question (21)

Which triple is obtained by multiplying (3, 4, 5) by 5?

Explanation:

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Question (22)

If (3, 4, 5) is multiplied by 7, the resulting triple is:

Explanation:

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Question (23)

Which of the following is a right triangle triple?

Explanation:

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Question (24)

The triple (16, 30, 34) is obtained from which primitive triple?

Explanation:

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Question (25)

Which of the following has no common factor greater than 1?

Explanation:

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Question (26)

If (a, b, c) is a Baudhāyana triple and k is a positive integer, then (ka, kb, kc):

Explanation:

Link:

Question (27)

Which of the following is NOT a scaled version of (3, 4, 5)?

Explanation:

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Question (28)

The triple (5, 12, 13) has hypotenuse:

Explanation:

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Question (29)

If a triple has common factor 5, then it is:

Explanation:

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Question (30)

The triple (27, 36, 45) is obtained by multiplying (3, 4, 5) by:

Explanation:

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