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Q:

A right circular cylinder is partially filled with water. Two iron spherical balls are completely immersed in the water so that the height of the water in the cylinder rises by 4 cm. If the radius of one ball is half of the other and the diameter of the cylinder is 18 cm, then the radii of the spherical balls are

A) 6 cm and 12 cm B) 4 cm and 8 cm
C) 3 cm and 6 cm D) 2 cm and 4 cm
 
Answer & Explanation Answer: C) 3 cm and 6 cm

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Filed Under: Volume and Surface Area
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Q:

In an isosceles triangle, the length of each equal side is twice the length of the third side. The ratio of areas of the isosceles triangle and an equilateral triangle with same perimeter is

A) 30√5 : 100 B) 32√5 : 100
C) 36√5 : 100 D) 42√5 : 100
 
Answer & Explanation Answer: C) 36√5 : 100

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Q:

Two regular polygons are such that the ratio between their number of sides is 1:2 and the ratio of measures of their interior angles is 3:4. Then the number of sides of each polygon are

A) 10, 20 B) 4, 8
C) 3, 6 D) 5, 10
 
Answer & Explanation Answer: D) 5, 10

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Q:

If a cone is divided into two parts by drawing a plane through the midpoints of its axis, then the ratio of the volume of the 2 parts of the cone is

A) 1 : 2 B) 1 : 4
C) 1 : 7 D) 1 : 8
 
Answer & Explanation Answer: C) 1 : 7

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Filed Under: Ratios and Proportions
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Q:

A piece of wire 132 cm long is bent successively in the shape of an equilateral triangle, a square and a circle. Then area will be longest in shape of

A) Circle B) Equilateral triangle
C) Square D) Equal in all the shapes
 
Answer & Explanation Answer: A) Circle

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Q:

The ratio between the area of a square and that of a circle, when the length of a side of the square is equal to that of the diameter of the circle, is (take π=22/7)

A) 14 : 11 B) 28 : 11
C) 7 : 22 D) 22 : 7
 
Answer & Explanation Answer: A) 14 : 11

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Q:

The length and breadth of a rectangular piece of a land are in a ratio 5:3. The owner spent Rs. 6000 for surrounding it from all sides at Rs.7.50 per metre. The difference between its length and breadth is

A) 50 metres B) 100 metres
C) 150 metres D) 250 metres
 
Answer & Explanation Answer: B) 100 metres

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Filed Under: Volume and Surface Area
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Q:

The sides of a triangle are in the ratio 1/2 : 1/3 : 1/4 and its perimeter is 104 cm. The length of the longest side (in cm) is

A) 52 B) 48
C) 32 D) 26
 
Answer & Explanation Answer: B) 48

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Filed Under: Area
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