Q:

If a + b = 1, then a4 + b4 - a3 - b3 - 2a2b2 + ab is equal to

A) 1 B) 2
C) 4 D) 0
 
Answer & Explanation Answer: D) 0

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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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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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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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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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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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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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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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