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Question (21)

QN0019512

A square of area 12 cm² is transformed using Baudhāyana’s method. The new area is:

(A) 18 cm²
(B) 20 cm²
(C) 24 cm²
(D) 48 cm²

Correct Answer: C

Explanation:

12 × 2 = 24 cm².

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Question (22)

QN0019513

Starting with a square of area 10 cm², after two successive doublings, the area becomes:

(A) 20 cm²
(B) 30 cm²
(C) 40 cm²
(D) 80 cm²

Correct Answer: C

Explanation:

10 → 20 → 40.

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Question (23)

QN0019514

If a square is doubled three times successively, its area becomes:

(A) 4 times
(B) 6 times
(C) 8 times
(D) 16 times

Correct Answer: C

Explanation:

Each doubling multiplies the area by 2, so 2³ = 8.

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Question (24)

QN0019515

What figure is constructed on the diagonal to obtain a doubled area?

(A) Circle
(B) Rectangle
(C) Square
(D) Triangle

Correct Answer: C

Explanation:

A square is constructed on the diagonal.

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Question (25)

QN0019516

A square of area 32 cm² is doubled using the diagonal method. The new area is:

(A) 48 cm²
(B) 64 cm²
(C) 72 cm²
(D) 128 cm²

Correct Answer: B

Explanation:

32 × 2 = 64 cm².

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Question (26)

QN0019517

If the area of the square on the diagonal is 90 cm², then the area of the original square is:

(A) 30 cm²
(B) 40 cm²
(C) 45 cm²
(D) 60 cm²

Correct Answer: C

Explanation:

The original area is half of 90 cm², i.e., 45 cm².

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Question (27)

QN0019518

Which statement is correct?

(A) Doubling the side doubles the area.
(B) Doubling the side triples the area.
(C) Doubling the side quadruples the area.
(D) Doubling the side halves the area.

Correct Answer: C

Explanation:

If the side doubles, area becomes 2² = 4 times.

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Question (28)

QN0019519

A square of area 72 cm² is given. The square on its diagonal has area:

(A) 96 cm²
(B) 108 cm²
(C) 144 cm²
(D) 216 cm²

Correct Answer: C

Explanation:

72 × 2 = 144 cm².

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Question (29)

QN0019520

If a square of area 15 cm² undergoes the doubling process four times, the final area is:

(A) 60 cm²
(B) 120 cm²
(C) 240 cm²
(D) 480 cm²

Correct Answer: C

Explanation:

15 × 2⁴ = 15 × 16 = 240 cm².

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Question (30)

QN0019521

Baudhāyana’s method of doubling a square is based on the:

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

Correct Answer: B

Explanation:

The square constructed on the diagonal has double the area.

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Question (21)

A square of area 12 cm² is transformed using Baudhāyana’s method. The new area is:

Explanation:

Link:

Question (22)

Starting with a square of area 10 cm², after two successive doublings, the area becomes:

Explanation:

Link:

Question (23)

If a square is doubled three times successively, its area becomes:

Explanation:

Link:

Question (24)

What figure is constructed on the diagonal to obtain a doubled area?

Explanation:

Link:

Question (25)

A square of area 32 cm² is doubled using the diagonal method. The new area is:

Explanation:

Link:

Question (26)

If the area of the square on the diagonal is 90 cm², then the area of the original square is:

Explanation:

Link:

Question (27)

Which statement is correct?

Explanation:

Link:

Question (28)

A square of area 72 cm² is given. The square on its diagonal has area:

Explanation:

Link:

Question (29)

If a square of area 15 cm² undergoes the doubling process four times, the final area is:

Explanation:

Link:

Question (30)

Baudhāyana’s method of doubling a square is based on the:

Explanation:

Link:

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