EWT | Academic Question

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Question (11)
QN0033287
A rectangular notebook cover measures 24 cm by 18 cm. What is the numerical difference between its area and perimeter?
  • (A) 348
  • (B) 390
  • (C) 432
  • (D) 516

Correct Answer: A
Explanation:

Area = 24 × 18 = 432 sq cm; Perimeter = 2(24 + 18) = 84 cm; Difference = 432 – 84 = 348.

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Question (12)
QN0033288
A child arranges 5 rows of square patches with 8 patches in each row. How many patches are used?
  • (A) 13
  • (B) 30
  • (C) 40
  • (D) 45

Correct Answer: C
Explanation:

Number of patches = Rows × Patches per row = 5 × 8 = 40.

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Question (13)
QN0033289
Which of the following always increases when both length and breadth of a rectangle are increased?
  • (A) Only perimeter
  • (B) Only area
  • (C) Both area and perimeter
  • (D) Neither area nor perimeter

Correct Answer: C
Explanation:

Increasing both length and breadth always increases both area and perimeter.

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Question (14)
QN0033290
A square and a rectangle both have an area of 36 sq cm. Which statement is correct?
  • (A) Their perimeters must be equal
  • (B) Their areas are equal but perimeters may differ
  • (C) Their side lengths must be equal
  • (D) Both must be squares

Correct Answer: B
Explanation:

Different shapes can have the same area but different perimeters.

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Question (15)
QN0033291
The perimeter of a rectangle is 50 cm. Its length is 15 cm. What is its breadth?
  • (A) 5 cm
  • (B) 10 cm
  • (C) 15 cm
  • (D) 20 cm

Correct Answer: B
Explanation:

2(L + B) = 50 ⇒ L + B = 25 ⇒ Breadth = 25 – 15 = 10 cm.

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Question (16)
QN0033292
A square patchwork contains 64 equal square patches arranged in rows and columns. How many patches are there in each row?
  • (A) 6
  • (B) 7
  • (C) 8
  • (D) 9

Correct Answer: C
Explanation:

Since 8 × 8 = 64, there are 8 patches in each row.

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Question (17)
QN0033293
Which shape among the following can have the same perimeter as another shape but a different area?
  • (A) Only squares
  • (B) Only rectangles
  • (C) Any two different shapes
  • (D) None of these

Correct Answer: C
Explanation:

Different shapes may have the same perimeter but different areas.

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Question (18)
QN0033294
A rectangular field is 25 m long and has an area of 500 sq m. What is its breadth?
  • (A) 10 m
  • (B) 15 m
  • (C) 20 m
  • (D) 25 m

Correct Answer: C
Explanation:

Breadth = Area ÷ Length = 500 ÷ 25 = 20 m.

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Question (19)
QN0033295
A square tile has side 4 cm. How many such tiles are needed to cover a floor of area 144 sq cm without cutting any tile?
  • (A) 6
  • (B) 8
  • (C) 9
  • (D) 12

Correct Answer: C
Explanation:

Area of one tile = 4 × 4 = 16 sq cm. Number of tiles = 144 ÷ 16 = 9.

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Question (20)
QN0033296
A student says, “If two figures have the same area, then their perimeters are also equal.” This statement is
  • (A) Always true
  • (B) Always false
  • (C) Sometimes true, sometimes false
  • (D) True only for squares

Correct Answer: C
Explanation:

Figures with the same area may have different perimeters, though some can also have equal perimeters.

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