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Area problems
1. What is the area (in square units) of the figure enclosed by the graphs of the lines x = -4, x = 2, y = -2 and y = 3?
Options
A. 12
B. 24
C. 15
D. 60
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Correct Answer: 15
2. Length and breadth of a rectangle are increased by 40% and 70% respectively. What will be the percentage increase in the area of rectangle?
Options
A. 118
B. 110
C. 138
D. 128
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Correct Answer: 138
3. X and Y are the mid points of sides AB and AC of a triangle ABC. If BC+XY=12 units, then BC-XY is
Options
A. 8 units
B. 4 units
C. 6 units
D. 2 units
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Correct Answer: 4 units
4. The point of intersection of all the three medians of a triangle is called its
Options
A. orthocentre
B. incentre
C. centroid
D. circumcentre
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Correct Answer: centroid
5. In a triangle, the distance of the centroid from the three vertices is 4cm, 6cm and 8cm respectively. Then the length of the smallest median is:
Options
A. 8
B. 7
C. 6
D. 5
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Correct Answer: 6
6. The length of the two parallel sides of a trapezium are 16 m and 20 m respectively. If its height is 10 m, its area in square metres is
Options
A. 360
B. 260
C. 240
D. 180
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Correct Answer: 180
7. Let O be the orthocentre of the triangle ABC. If ?BOC = 150°, Then ?BAC is
Options
A. 30°
B. 60°
C. 90°
D. 120°
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Correct Answer: 30°
8. What is the area (in sq cm) of a rectangle of perimeter 48 cm and breadth 10 cm?
Options
A. 140
B. 480
C. 240
D. 440
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Correct Answer: 140
9. The areas of two similar triangles ?XYZ and ?PQR are 100 sq cms and 25 sq cms respectively. If PQ = 4 cm then what is the length of XY (in cm)?
Options
A. 16
B. 14
C. 8
D. 20
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Correct Answer: 8
10. What is the area (in sq cm) of a regular hexagon of side 6 cm?
Options
A. 27?3
B. 54?3
C. 54
D. 27
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Correct Answer: 54?3
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