EWT | Academic Question

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Question (11)
QN0029343
A rectangle has diagonals intersecting at O. If AC = 18 cm, then OC equals
  • (A) 6 cm
  • (B) 8 cm
  • (C) 9 cm
  • (D) 18 cm

Correct Answer: C
Explanation:

Diagonals bisect each other. OC = 18 ÷ 2 = 9 cm.

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Question (12)
QN0029344
A parallelogram has one angle equal to 125°. The remaining three angles are
  • (A) 125°, 55°, 125°
  • (B) 55°, 125°, 55°
  • (C) 125°, 125°, 125°
  • (D) 55°, 55°, 55°

Correct Answer: A
Explanation:

Opposite angles are equal and adjacent angles are supplementary.

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Question (13)
QN0029345
Which statement is always true?
  • (A) Every rectangle is a square.
  • (B) Every square is a rectangle.
  • (C) Every kite is a rhombus.
  • (D) Every trapezium is a parallelogram.

Correct Answer: B
Explanation:

Every square satisfies all the properties of a rectangle.

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Question (14)
QN0029346
A rhombus has diagonals of lengths 16 cm and 12 cm. The distance from the intersection point to one endpoint of the longer diagonal is
  • (A) 4 cm
  • (B) 6 cm
  • (C) 8 cm
  • (D) 16 cm

Correct Answer: C
Explanation:

Diagonals bisect each other. Half of 16 cm is 8 cm.

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Question (15)
QN0029347
A quadrilateral has opposite sides equal. Which quadrilateral is it?
  • (A) Kite
  • (B) Trapezium
  • (C) Parallelogram
  • (D) Pentagon

Correct Answer: C
Explanation:

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

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Question (16)
QN0029348
The diagonals of a square divide each interior angle into
  • (A) 30° and 60°
  • (B) 45° and 45°
  • (C) 20° and 70°
  • (D) 50° and 40°

Correct Answer: B
Explanation:

Each 90° angle is bisected into two equal 45° angles.

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Question (17)
QN0029349
A trapezium has one pair of opposite sides parallel. If one angle is 115°, the adjacent angle on the same side is
  • (A) 65°
  • (B) 75°
  • (C) 115°
  • (D) 245°

Correct Answer: A
Explanation:

Adjacent interior angles are supplementary. 180° − 115° = 65°.

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Question (18)
QN0029350
A kite has two pairs of adjacent equal sides. Which diagonal always bisects the other at right angles?
  • (A) Both diagonals bisect each other
  • (B) The diagonal joining unequal angles
  • (C) The diagonal joining the vertices where equal sides meet
  • (D) Neither diagonal

Correct Answer: C
Explanation:

In a kite, the diagonal joining the vertices where equal sides meet bisects the other diagonal at 90°.

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Question (19)
QN0029351
Which quadrilateral has equal diagonals but they are not perpendicular in general?
  • (A) Rectangle
  • (B) Rhombus
  • (C) Kite
  • (D) General parallelogram

Correct Answer: A
Explanation:

Rectangles have equal diagonals, but they are generally not perpendicular.

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Question (20)
QN0029352
A quadrilateral has angles in the ratio 2 : 3 : 4 : 9. The largest angle is
  • (A) 90°
  • (B) 120°
  • (C) 150°
  • (D) 180°

Correct Answer: D
Explanation:

Total parts = 18. One part = 360° ÷ 18 = 20°. Largest angle = 9 × 20° = 180°.

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