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Question (1)

QN0019492

Who gave the rule for constructing a square with double the area of a given square?

(A) Aryabhata
(B) Euclid
(C) Baudhāyana
(D) Bhāskara II

Correct Answer: C

Explanation:

Baudhāyana gave this construction in the Śulba-Sūtra.

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Question (2)

QN0019493

According to Baudhāyana’s statement, what produces a square of double the area of the original square?

(A) Side of the square
(B) Perimeter of the square
(C) Diagonal of the square
(D) Midpoint of a side

Correct Answer: C

Explanation:

The square constructed on the diagonal has double the area.

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Question (3)

QN0019494

If each side of a square is doubled, its area becomes:

(A) Double
(B) Triple
(C) Four times
(D) Eight times

Correct Answer: C

Explanation:

Area changes as the square of the side length.

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Question (4)

QN0019495

A square has side length 4 cm. What is its area?

(A) 8 cm²
(B) 12 cm²
(C) 16 cm²
(D) 20 cm²

Correct Answer: C

Explanation:

Area = side² = 4² = 16 cm².

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Question (5)

QN0019496

A square has area 25 cm². What is the area of the square constructed on its diagonal?

(A) 35 cm²
(B) 40 cm²
(C) 50 cm²
(D) 100 cm²

Correct Answer: C

Explanation:

The diagonal construction doubles the area.

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Question (6)

QN0019497

The horizontal and vertical lines used in the construction are called:

(A) East-west and north-south lines
(B) Parallel lines
(C) Slant lines
(D) Diagonal lines

Correct Answer: A

Explanation:

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Question (7)

QN0019498

A square of side 6 cm has area 36 cm². The square on its diagonal has area:

(A) 48 cm²
(B) 60 cm²
(C) 72 cm²
(D) 108 cm²

Correct Answer: C

Explanation:

Double of 36 cm² is 72 cm².

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Question (8)

QN0019499

The original square is made up of how many congruent triangles along its diagonal?

(A) 1
(B) 2
(C) 3
(D) 4

Correct Answer: B

Explanation:

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Question (9)

QN0019500

The doubled-area square is made up of how many congruent small triangles?

(A) 2
(B) 3
(C) 4
(D) 8

Correct Answer: C

Explanation:

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Question (10)

QN0019501

The new square has double the area because it contains:

(A) Twice as many congruent triangles
(B) Thrice as many congruent triangles
(C) Four times as many congruent triangles
(D) Eight times as many congruent triangles

Correct Answer: A

Explanation:

The original square has 2 triangles while the new square has 4 congruent triangles.

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Question (1)

Who gave the rule for constructing a square with double the area of a given square?

Explanation:

Link:

Question (2)

According to Baudhāyana’s statement, what produces a square of double the area of the original square?

Explanation:

Link:

Question (3)

If each side of a square is doubled, its area becomes:

Explanation:

Link:

Question (4)

A square has side length 4 cm. What is its area?

Explanation:

Link:

Question (5)

A square has area 25 cm². What is the area of the square constructed on its diagonal?

Explanation:

Link:

Question (6)

The horizontal and vertical lines used in the construction are called:

Explanation:

Link:

Question (7)

A square of side 6 cm has area 36 cm². The square on its diagonal has area:

Explanation:

Link:

Question (8)

The original square is made up of how many congruent triangles along its diagonal?

Explanation:

Link:

Question (9)

The doubled-area square is made up of how many congruent small triangles?

Explanation:

Link:

Question (10)

The new square has double the area because it contains:

Explanation:

Link:

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