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Q:

The radius of base of solid cone is 9 cm and its height is 21 cm. It cut into 3 parts by two cuts, which are parallel to its base. The cuts are at height of 7 cm and 14 cm from the base respectively. What is the ratio of curved surface areas of top, middle and bottom parts respectively?

A) 1 : 4 : 8 B) 1 : 3 : 5
C) 1 : 3 : 9 D) 1 : 6 : 12
 
Answer & Explanation Answer: B) 1 : 3 : 5

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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

Q:

In a trapezium, one diagonal divides the other in the ratio 2 : 9. If the length of the larger of the two parallel sides is 45 cm, then what is the length (in cm) of the other parallel side?

A) 10 B) 5
C) 18 D) 14
 
Answer & Explanation Answer: A) 10

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Filed Under: Area
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Q:

ABCD is a trapezium in which AB is parallel to CD and AB = 4(CD). The diagonals of the trapezium intersects at O. What is the ratio of area of triangle DCO to the area of the triangle ABO?

A) 1 : 4 B) 1 : 2
C) 1 : 8 D) 1 : 16
 
Answer & Explanation Answer: D) 1 : 16

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

Q:

In the given figure, MNOP is a parallelogram. PM is extended to Z. OZ intersects MN and PN at Y and X respectively. If OX = 27 cm and XY = 18 cm, then what is the length (in cm) of YZ?

A) 21.4 B) 22.5
C) 23.8 D) 24.5
 
Answer & Explanation Answer: B) 22.5

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Filed Under: Volume and Surface Area
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Q:

D and E are points on the sides AB and AC respectively of ΔABC such that DE is parallel to BC and AD:DB = 4:5, CD and BE intersect each other at F. Then the ratio of the areas of ΔDEF and ΔCBF

A) 16:25 B) 16:81
C) 81:16 D) 4:9
 
Answer & Explanation Answer: B) 16:81

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Filed Under: Area
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Q:

In a trapezium ABCD, AB and DC are parallel sides and ∠ ADC = 90°. If AB = 15 cm, CD = 40 cm and diagonal AC = 41 cm. Then the area of the trapezium ABCD is

A) 245 cm2 B) 240 cm2
C) 247.5 cm2 D) 250 cm2
 
Answer & Explanation Answer: C) 247.5 cm2

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Filed Under: Area
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Q:

If the parallel sides of a trapezium are 8 cm and 4 cm, M and N are the mid points of the diagonals of the trapezium, then length of MN is

A) 12 cm B) 6 cm
C) 1 cm D) 2 cm
 
Answer & Explanation Answer: D) 2 cm

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Filed Under: Area
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Q:

The base of a right prism is a trapezium whose the length of parallel sides are 25 cm and 11 cm and the perpendicular distance between the parallell sides in 16 cm. If the height of the prism is 10 cm, then the volume of the prism is

A) 1440 cu.cm B) 1540 cu.cm
C) 2880 cu.cm D) 960 cu.cm
 
Answer & Explanation Answer: C) 2880 cu.cm

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams