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Volume and Surface Area
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Question
In an isosceles triangle ABC, AB = AC, XY || BC. If ?A = 30, then ?BXY =
Options
A. 75°
B. 30°
C. 150°
D. 105°
Correct Answer
105°
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Bank Exams
Volume and Surface Area problems
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1. ?ABC is an equilateral triangle and D, E are midpoints of AB and BC respectively. Then the area of ?ABC : the area of the trapezium ADEC is
Options
A. 5:3
B. 4:1
C. 8:5
D. 4:3
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Correct Answer: 4:3
2. Point P (8 , 5) is the midpoint of segment AB. Co-ordinates of A are (5, y) and B are (x, -3). What is the value of x?
Options
A. -11
B. 11
C. 7
D. -7
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Correct Answer: 11
3. What must be the length (in cm) of the diagonal of a rectangle if its area and breadth are 120 sq.cm and 8 cm respectively ?
Options
A. 34
B. 17
C. 15
D. 30
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Correct Answer: 17
4. Curved surface area of a cylinder is 1232 sq cm. If circumference of its base is 154 cm, then what will be the height of the cylinder? (Take ? = 22/7)
Options
A. 16 cm
B. 4 cm
C. 8 cm
D. 12 cm
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Correct Answer: 8 cm
5. A solid has 12 vertices and 30 edges. How many faces does it have?
Options
A. 22
B. 24
C. 26
D. 20
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Correct Answer: 20
6. What is the reflection of the point (5 , -1) in the line y = 2?
Options
A. (5, -5)
B. (-5, -5)
C. (5, 5)
D. (-5, 5)
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Correct Answer: (5, 5)
7. ? ABC is right angled at B. If m?A = 30°. What is the length (in cm) of AB, if AC = 8 cm?
Options
A. 2?3
B. 4?3
C. 4/?3
D. 2/?3
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Correct Answer: 4/?3
8. The surface area of a sphere is 5544 cm2. Find its diameter (in cm).
Options
A. 42
B. 21
C. 84
D. 63
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Correct Answer: 42
9. The line segment AB intersects the straight line CD at B; AB will be smallest when ? ABD (in degrees) is
Options
A. 30
B. 60
C. 90
D. 45
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Correct Answer: 90
10. ? PQR is right angled at Q. If m?R = 60°, what is the length of PR (in cm), if RQ = 4?3 cm?
Options
A. 8
B. 4
C. 8/?3
D. 8?3
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Correct Answer: 8?3
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