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Q:

The ratio of curved surface area of a right circular cylinder to the total area of its two bases is 2 : 1. If the total surface area of cylinder is 23100 cm2, then what is the volume (in cm3) of cylinder?

A) 247200 B) 269500
C) 312500 D) 341800
 
Answer & Explanation Answer: B) 269500

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Q:

Radius of base of a hollow cone is 8 cm and its height is 15 cm. A sphere of largest radius is put inside the cone. What is the ratio of radius of base of cone to the radius of sphere?

A) 5 : 3 B) 4 : 1
C) 2 : 1 D) 7 : 3
 
Answer & Explanation Answer: A) 5 : 3

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Q:

A right prism has a square base with side of base 4 cm and the height of prism is 9 cm. The prism is cut in three parts of equal heights by two planes parallel to its base. What is the ratio of the volume of the top, middle and the bottom part respectively?

A) 1 : 8 : 27 B) 1 : 7 : 19
C) 1 : 8 : 20 D) no answer
 
Answer & Explanation Answer: D) no answer

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Q:

In the given figure, AB, AE, EF, FG and GB are semicircles. AB = 56 cm and AE = EF = FG = GB. What is the area (in sq.cm) of the shaded region?

 

A) 414.46 B) 382.82
C) 406.48 D) 394.24
 
Answer & Explanation Answer: D) 394.24

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Q:

In the given figure, radius of a circle is 14√2 cm. PQRS is a square. EFGH, ABCD, WXYZ and LMNO are 4 identical squares. What is the total area (in sq.cm) of all the small squares ?

A) 31.36 B) 125.44
C) 62.72 D) 156.8
 
Answer & Explanation Answer: A) 31.36

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Q:

Length and breadth of a rectangle are 8 cm and 6 cm respectively. The rectangle is cut on its four vertices such that the resulting figure is a regular octagon. What is the side (in cm) of the octagon?

A) 3(√11) – 7 B) 5(√13) – 8
C) 4(√7) – 11 D) 6(√11) – 9
 
Answer & Explanation Answer: A) 3(√11) – 7

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Q:

In the given figure, ABCDEF is a regular hexagon whose side is 6 cm. APF, QAB, DCR and DES are equilateral triangles. What is the area (in sq.cm) of the shaded region?

A) 24√3 B) 18√3
C) 72√3 D) 36√3
 
Answer & Explanation Answer: C) 72√3

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Q:

In the given figure, ABCD is a square of side 14 cm. E and F are mid points of sides AB and DC respectively. EPF is a semicircle whose diameter is EF. LMNO is a square . What is the area (in sq.cm) of the shaded region?

 

A) 108.5 B) 94.5
C) 70 D) 120
 
Answer & Explanation Answer: B) 94.5

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