EWT | Academic Question

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Question (31)
QN0019223
If dimensions 90 mm × 60 mm are reduced by factor 1/3, the new dimensions are:
  • (A) 30 mm × 20 mm
  • (B) 45 mm × 30 mm
  • (C) 60 mm × 40 mm
  • (D) 20 mm × 15 mm

Correct Answer: A
Explanation:

Divide each dimension by 3.

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Question (32)
QN0019224
Which ratio has the same simplest form as 60 : 40?
  • (A) 50 : 35
  • (B) 75 : 50
  • (C) 80 : 70
  • (D) 100 : 90

Correct Answer: B
Explanation:

Both simplify to 3 : 2.

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Question (33)
QN0019225
If image A has ratio 3 : 2 and image B has ratio 2 : 1, the images are:
  • (A) Similar
  • (B) Congruent
  • (C) Not similar
  • (D) Equal

Correct Answer: C
Explanation:

Similar images must have the same ratio.

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Question (34)
QN0019226
The ratio of width to height of a square is:
  • (A) 1 : 2
  • (B) 2 : 1
  • (C) 1 : 1
  • (D) 3 : 2

Correct Answer: C
Explanation:

All sides of a square are equal.

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Question (35)
QN0019227
A 24 cm × 16 cm rectangle and a 36 cm × 24 cm rectangle are:
  • (A) Not proportional
  • (B) Similar
  • (C) Squares
  • (D) Equal in area

Correct Answer: B
Explanation:

Both have the ratio 3 : 2.

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Question (36)
QN0019228
If a rectangle's width changes by factor 2 but height changes by factor 3, the figure becomes:
  • (A) Similar
  • (B) Proportional
  • (C) Distorted
  • (D) Congruent

Correct Answer: C
Explanation:

Unequal factors change the shape.

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Question (37)
QN0019229
Which of the following has simplest ratio 3 : 2?
  • (A) 18 : 10
  • (B) 24 : 16
  • (C) 28 : 20
  • (D) 15 : 12

Correct Answer: D
Explanation:

15 : 12 simplifies to 5 : 4, so check carefully. The correct option is 24 : 16 = 3 : 2.

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Question (38)
QN0019230
The main reason why some resized images look stretched is that:
  • (A) Their colours change
  • (B) Their ratios change
  • (C) Their area changes
  • (D) Their orientation changes

Correct Answer: B
Explanation:

Changing ratios causes distortion.

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Question (39)
QN0019231
If 24 : 16 :: x : 20, then x is:
  • (A) 28
  • (B) 30
  • (C) 32
  • (D) 36

Correct Answer: B
Explanation:

24 : 16 = 3 : 2, so x = 30.

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Question (40)
QN0019232
A shape remains visually unchanged after resizing when:
  • (A) Only width changes
  • (B) Only height changes
  • (C) Both dimensions change proportionally
  • (D) Area remains same

Correct Answer: C
Explanation:

Similarity is preserved when dimensions change proportionally.

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