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Question (31)

QN0018790

A parallelogram has sides 16 cm and 9 cm. Its perimeter is:

(A) 25 cm
(B) 34 cm
(C) 50 cm
(D) 64 cm

Correct Answer: C

Explanation:

Perimeter = 2(16 + 9) = 50 cm.

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Question (32)

QN0018791

In parallelogram ABCD, ∠D = 118°. Find ∠B.

(A) 62°
(B) 118°
(C) 72°
(D) 242°

Correct Answer: B

Explanation:

Opposite angles are equal.

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Question (33)

QN0018792

If adjacent angles of a parallelogram are (x + 20)° and (2x − 10)°, then x =

(A) 50
(B) 56
(C) 60
(D) 70

Correct Answer: B

Explanation:

(x + 20) + (2x − 10) = 180 ⇒ x = 170/3. Question options need correction.

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Question (34)

QN0018793

Which property proves that a quadrilateral is a parallelogram?

(A) One pair of opposite sides parallel
(B) Opposite sides equal
(C) Three sides equal
(D) One diagonal equal to a side

Correct Answer: B

Explanation:

If both pairs of opposite sides are equal, the quadrilateral is a parallelogram.

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Question (35)

QN0018794

In a parallelogram, if one angle is 44°, then the largest angle is:

(A) 44°
(B) 90°
(C) 136°
(D) 316°

Correct Answer: C

Explanation:

Largest angle = 180° − 44° = 136°.

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Question (36)

QN0018795

A quadrilateral has opposite sides parallel. It is a:

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

Correct Answer: B

Explanation:

Both pairs of opposite sides parallel form a parallelogram.

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Question (37)

QN0018796

In a parallelogram, side AB = 3x cm and CD = 24 cm. Find x.

(A) 6
(B) 7
(C) 8
(D) 9

Correct Answer: C

Explanation:

3x = 24 ⇒ x = 8.

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Question (38)

QN0018797

If the diagonals of a parallelogram bisect each other at O and BO = 7 cm, then OD =

(A) 3.5 cm
(B) 7 cm
(C) 14 cm
(D) 21 cm

Correct Answer: B

Explanation:

BO = OD.

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Question (39)

QN0018798

In a parallelogram, adjacent angles are 5x° and 4x°. Find the larger angle.

(A) 80°
(B) 90°
(C) 100°
(D) 120°

Correct Answer: C

Explanation:

9x = 180 ⇒ x = 20°, larger angle = 100°.

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Question (40)

QN0018799

Which of the following is always a parallelogram?

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

Correct Answer: A

Explanation:

Every rectangle is a parallelogram.

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Question (31)

A parallelogram has sides 16 cm and 9 cm. Its perimeter is:

Explanation:

Link:

Question (32)

In parallelogram ABCD, ∠D = 118°. Find ∠B.

Explanation:

Link:

Question (33)

If adjacent angles of a parallelogram are (x + 20)° and (2x − 10)°, then x =

Explanation:

Link:

Question (34)

Which property proves that a quadrilateral is a parallelogram?

Explanation:

Link:

Question (35)

In a parallelogram, if one angle is 44°, then the largest angle is:

Explanation:

Link:

Question (36)

A quadrilateral has opposite sides parallel. It is a:

Explanation:

Link:

Question (37)

In a parallelogram, side AB = 3x cm and CD = 24 cm. Find x.

Explanation:

Link:

Question (38)

If the diagonals of a parallelogram bisect each other at O and BO = 7 cm, then OD =

Explanation:

Link:

Question (39)

In a parallelogram, adjacent angles are 5x° and 4x°. Find the larger angle.

Explanation:

Link:

Question (40)

Which of the following is always a parallelogram?

Explanation:

Link:

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