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Question (1)

QN0019612

Baudhāyana’s method of combining two different squares produces a square whose area is equal to:

(A) Difference of the areas
(B) Sum of the areas
(C) Product of the areas
(D) Half of the larger area

Correct Answer: B

Explanation:

The combined square has area equal to the sum of the areas of the two squares.

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Question (2)

QN0019613

To combine two squares of sides a and b, a right triangle is formed with:

(A) Hypotenuse a+b
(B) Equal sides a and b
(C) Perpendicular sides a and b
(D) Area ab

Correct Answer: C

Explanation:

The side lengths of the squares become the perpendicular sides of a right triangle.

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Question (3)

QN0019614

The side of the new combined square is equal to the:

(A) Longer side of the given squares
(B) Sum of the sides
(C) Difference of the sides
(D) Hypotenuse of the right triangle

Correct Answer: D

Explanation:

The hypotenuse becomes the side of the new square.

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Question (4)

QN0019615

Two squares have areas 9 sq. units and 16 sq. units. The area of the combined square is:

(A) 7 sq. units
(B) 12 sq. units
(C) 25 sq. units
(D) 144 sq. units

Correct Answer: C

Explanation:

9 + 16 = 25 sq. units.

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Question (5)

QN0019616

If two squares have sides 3 units and 4 units, the side of the combined square is:

(A) 5 units
(B) 6 units
(C) 7 units
(D) 12 units

Correct Answer: A

Explanation:

c² = 3² + 4² = 25, so c = 5.

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Question (6)

QN0019617

Baudhāyana stated that the area of the square produced by the diagonal is equal to:

(A) The difference of the areas on the sides
(B) The sum of the areas on the sides
(C) Twice the larger area
(D) Half the total area

Correct Answer: B

Explanation:

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Question (7)

QN0019618

If squares have sides 5 units and 12 units, the side of the combined square is:

(A) 13 units
(B) 15 units
(C) 17 units
(D) 25 units

Correct Answer: A

Explanation:

c² = 5² + 12² = 169, so c = 13.

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Question (8)

QN0019619

A square of area 36 sq. units is combined with a square of area 64 sq. units. The resulting square has area:

(A) 28 sq. units
(B) 72 sq. units
(C) 100 sq. units
(D) 144 sq. units

Correct Answer: C

Explanation:

36 + 64 = 100 sq. units.

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Question (9)

QN0019620

In Baudhāyana’s construction, the diagonal of a rectangle becomes the side of:

(A) A triangle
(B) A circle
(C) A square
(D) A rectangle

Correct Answer: C

Explanation:

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Question (10)

QN0019621

Which statement exactly expresses Baudhāyana’s rule?

(A) The area of the square on the diagonal equals the sum of the areas on the sides.
(B) The area on the diagonal is always double.
(C) The diagonal equals the sum of the sides.
(D) The area of the square is half the rectangle.

Correct Answer: A

Explanation:

This is the exact statement of Baudhāyana’s rule.

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Question (1)

Baudhāyana’s method of combining two different squares produces a square whose area is equal to:

Explanation:

Link:

Question (2)

To combine two squares of sides a and b, a right triangle is formed with:

Explanation:

Link:

Question (3)

The side of the new combined square is equal to the:

Explanation:

Link:

Question (4)

Two squares have areas 9 sq. units and 16 sq. units. The area of the combined square is:

Explanation:

Link:

Question (5)

If two squares have sides 3 units and 4 units, the side of the combined square is:

Explanation:

Link:

Question (6)

Baudhāyana stated that the area of the square produced by the diagonal is equal to:

Explanation:

Link:

Question (7)

If squares have sides 5 units and 12 units, the side of the combined square is:

Explanation:

Link:

Question (8)

A square of area 36 sq. units is combined with a square of area 64 sq. units. The resulting square has area:

Explanation:

Link:

Question (9)

In Baudhāyana’s construction, the diagonal of a rectangle becomes the side of:

Explanation:

Link:

Question (10)

Which statement exactly expresses Baudhāyana’s rule?

Explanation:

Link:

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