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Area problems
1. A pentagonal prism has 15 edges. How many vertices does it have?
Options
A. 12
B. 10
C. 15
D. 20
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Correct Answer: 10
2. At what point does the line 4x - 3y = -6 intercept the y-axis?
Options
A. (0,2)
B. (0,3/2)
C. (2,0)
D. (3/2,0)
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Correct Answer: (0,2)
3. Calculate the area (in cm2 ) of a circle of radius 10.5 cm.
Options
A. 693
B. 157.5
C. 315
D. 346.5
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Correct Answer: 346.5
4. What is the area (in sq cm) of a rhombus if the lengths of its diagonals are 25 cm and 20 cm?
Options
A. 500
B. 250
C. 125
D. 200
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Correct Answer: 250
5. If the radius of a circle is decreased to 25% of its original value, calculate the percentage decrease in the area of the circle
Options
A. 25%
B. 43.75%
C. 50%
D. 93.75%
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Correct Answer: 93.75%
6. The perimeter and the breadth of a rectangle are 60 cm and 14 cm respectively. Find its area (in cm²)
Options
A. 112
B. 448
C. 224
D. 336
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Correct Answer: 224
7. The area of a square is 100 sq cm, find length of its diagonal?
Options
A. 10?2 cm
B. 10 cm
C. 20 cm
D. 20?2 cm
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Correct Answer: 10?2 cm
8. If the radius of a circle is increased by 14% its area increases by
Options
A. 28 percent
B. 29.96 percent
C. 14 percent
D. 14.98 percent
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Correct Answer: 29.96 percent
9. In an equilateral triangle of side 24 cms, a circle is inscribed touching its sides. The area of the remaining portion of the triangle is equal to
Options
A. 36.6 sq. cm
B. 54.2 sq. cm
C. 72.8 sq. cm
D. 98.5 sq. cm
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Correct Answer: 98.5 sq. cm
10. One of the internal angle of a rhombus is 60° and length of its shorter diagonal is 8 cm. What is the area of the rhombus?
Options
A. 64?3 sq cm
B. 32?2 sq cm
C. 64?2 sq cm
D. 32?3 sq cm
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Correct Answer: 32?3 sq cm
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