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Question (11)

QN0018770

In a parallelogram, BO = 6 cm where O is the intersection of diagonals. Then BD =

(A) 3 cm
(B) 6 cm
(C) 9 cm
(D) 12 cm

Correct Answer: D

Explanation:

BD = 2 × BO = 12 cm.

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Question (12)

QN0018771

If one side of a parallelogram is 14 cm, the opposite side is:

(A) 7 cm
(B) 14 cm
(C) 28 cm
(D) Cannot be determined

Correct Answer: B

Explanation:

Opposite sides are equal.

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Question (13)

QN0018772

In a parallelogram, adjacent angles are x° and 3x°. Find x.

(A) 30°
(B) 45°
(C) 60°
(D) 90°

Correct Answer: B

Explanation:

x + 3x = 180°, so x = 45°.

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Question (14)

QN0018773

The angles of a parallelogram are in the ratio 2 : 3. The smaller angle is:

(A) 60°
(B) 72°
(C) 90°
(D) 108°

Correct Answer: B

Explanation:

2x + 3x = 180°, x = 36°, smaller angle = 72°.

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Question (15)

QN0018774

If one angle of a parallelogram is 112°, the acute angle is:

(A) 58°
(B) 68°
(C) 72°
(D) 78°

Correct Answer: B

Explanation:

Acute angle = 180° − 112° = 68°.

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Question (16)

QN0018775

In parallelogram ABCD, AB = 15 cm and BC = 9 cm. Find CD.

(A) 9 cm
(B) 12 cm
(C) 15 cm
(D) 24 cm

Correct Answer: A

Explanation:

Opposite sides are equal, so CD = AB = 15 cm. (Correct answer should be c)

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Question (17)

QN0018776

In parallelogram PQRS, PQ = 11 cm and QR = 8 cm. Find RS.

(A) 8 cm
(B) 11 cm
(C) 19 cm
(D) 22 cm

Correct Answer: B

Explanation:

Opposite sides are equal, so RS = PQ = 11 cm.

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Question (18)

QN0018777

If the perimeter of a parallelogram is 40 cm and one side is 12 cm, the adjacent side is:

(A) 6 cm
(B) 8 cm
(C) 10 cm
(D) 12 cm

Correct Answer: B

Explanation:

2(a+b)=40 ⇒ a+b=20 ⇒ b=8 cm.

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Question (19)

QN0018778

In a parallelogram, ∠A = 3x° and ∠B = 2x°. Find ∠A.

(A) 72°
(B) 96°
(C) 108°
(D) 120°

Correct Answer: C

Explanation:

3x + 2x = 180°, x = 36°, ∠A = 108°.

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Question (20)

QN0018779

If opposite angles of a quadrilateral are equal, then the quadrilateral is a:

(A) Kite
(B) Trapezium
(C) Parallelogram
(D) Pentagon

Correct Answer: C

Explanation:

A quadrilateral with both pairs of opposite angles equal is a parallelogram.

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Question (11)

In a parallelogram, BO = 6 cm where O is the intersection of diagonals. Then BD =

Explanation:

Link:

Question (12)

If one side of a parallelogram is 14 cm, the opposite side is:

Explanation:

Link:

Question (13)

In a parallelogram, adjacent angles are x° and 3x°. Find x.

Explanation:

Link:

Question (14)

The angles of a parallelogram are in the ratio 2 : 3. The smaller angle is:

Explanation:

Link:

Question (15)

If one angle of a parallelogram is 112°, the acute angle is:

Explanation:

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Question (16)

In parallelogram ABCD, AB = 15 cm and BC = 9 cm. Find CD.

Explanation:

Link:

Question (17)

In parallelogram PQRS, PQ = 11 cm and QR = 8 cm. Find RS.

Explanation:

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Question (18)

If the perimeter of a parallelogram is 40 cm and one side is 12 cm, the adjacent side is:

Explanation:

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Question (19)

In a parallelogram, ∠A = 3x° and ∠B = 2x°. Find ∠A.

Explanation:

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Question (20)

If opposite angles of a quadrilateral are equal, then the quadrilateral is a:

Explanation:

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