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Q:

A complete factorisation of x4 + 64 is

A) (x2 + 8)2 B) (x2 + 8)(x2 - 8)
C) (x2 - 4x + 8)(x2 -4x - 8) D) (x2 + 4x + 8)(x2 - 4x + 8)
 
Answer & Explanation Answer: D) (x2 + 4x + 8)(x2 - 4x + 8)

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Filed Under: Simplification
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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:

If x + 1x = c + 1c, then the value of x =

A) C, 1/C B) C, C2
C) C, 2C D) 0,1
 
Answer & Explanation Answer: A) C, 1/C

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Filed Under: Simplification
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Q:

If P = 99, then the value of P(P2+ 3P + 3) is

A) 9999 B) 999999
C) 99999 D) 9999999
 
Answer & Explanation Answer: B) 999999

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