EWT | Academic Question

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Question (1)
QN0019652
A triple (a, b, c) is called a Baudhāyana triple if:
  • (A) a + b = c
  • (B) a − b = c
  • (C) a² + b² = c²
  • (D) ab = c

Correct Answer: C
Explanation:

A Baudhāyana triple satisfies a² + b² = c².

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Question (2)
QN0019653
Which of the following is a Baudhāyana triple?
  • (A) (2, 3, 4)
  • (B) (3, 4, 5)
  • (C) (4, 5, 8)
  • (D) (6, 7, 9)

Correct Answer: B
Explanation:

3² + 4² = 9 + 16 = 25 = 5².

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Question (3)
QN0019654
The triple (5, 12, 13) satisfies:
  • (A) 5 + 12 = 13
  • (B) 5² + 12² = 13²
  • (C) 5 × 12 = 13
  • (D) 13² = 5 + 12

Correct Answer: B
Explanation:

25 + 144 = 169 = 13².

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Question (4)
QN0019655
Which of the following is NOT a Baudhāyana triple?
  • (A) (8, 15, 17)
  • (B) (7, 24, 25)
  • (C) (6, 8, 11)
  • (D) (12, 35, 37)

Correct Answer: C
Explanation:

6² + 8² = 100 ≠ 121.

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Question (5)
QN0019656
In a Baudhāyana triple, the largest number usually represents the:
  • (A) Base
  • (B) Altitude
  • (C) Hypotenuse
  • (D) Perimeter

Correct Answer: C
Explanation:

The hypotenuse is the longest side of a right triangle.

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Question (6)
QN0019657
Which triple has all numbers less than or equal to 20?
  • (A) (12, 35, 37)
  • (B) (15, 36, 39)
  • (C) (9, 12, 15)
  • (D) (20, 21, 29)

Correct Answer: C
Explanation:

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Question (7)
QN0019658
The triple (6, 8, 10) is obtained by multiplying each term of (3, 4, 5) by:
  • (A) 1
  • (B) 2
  • (C) 3
  • (D) 4

Correct Answer: B
Explanation:

2 × (3, 4, 5) = (6, 8, 10).

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Question (8)
QN0019659
Which of the following is a primitive Baudhāyana triple?
  • (A) (6, 8, 10)
  • (B) (9, 12, 15)
  • (C) (3, 4, 5)
  • (D) (12, 16, 20)

Correct Answer: C
Explanation:

The numbers 3, 4, and 5 have no common factor greater than 1.

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Question (9)
QN0019660
A Baudhāyana triple with no common factor greater than 1 is called:
  • (A) Rational triple
  • (B) Primitive triple
  • (C) Equal triple
  • (D) Integer triple

Correct Answer: B
Explanation:

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Question (10)
QN0019661
Which statement exactly defines a primitive Baudhāyana triple?
  • (A) A triple having equal sides
  • (B) A triple with no common factor greater than 1
  • (C) A triple with hypotenuse 1
  • (D) A triple with consecutive integers

Correct Answer: B
Explanation:

This is the exact definition of a primitive triple.

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