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Q:

If the sum of squares of two real numbers is 41 and their sum is 9. Then the sum of cubes of these two numbers is

A) 169 B) 209
C) 189 D) 198
 
Answer & Explanation Answer: C) 189

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Filed Under: Problems on Numbers
Exam Prep: Bank Exams

Q:

The whole surface area of a pyramid whose base is a regular polygon is 340 cm2 and area of its base is 100 cm2 . Area of each lateral face is 30 cm2. Then the number of lateral faces is

A) 8 B) 9
C) 7 D) 10
 
Answer & Explanation Answer: A) 8

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

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
Exam Prep: Bank Exams

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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Filed Under: Area
Exam Prep: Bank Exams

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

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
Exam Prep: Bank Exams

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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Filed Under: Area
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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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Filed Under: Area
Exam Prep: Bank Exams