1
Q:

For any two real numbers a and b.

a-b2+b-a2 is

A) always zero B) never zero
C) positive only if a ≠ b D) positive if an only if a > b

Answer:   C) positive only if a ≠ b



Explanation:
Q:

If a > b > 0, AB = a - b cm, BC = 2√ab cm, then ∠ABC is

A)  45° B)  60
C)  90° D)  120°
 
Answer & Explanation Answer: C)  90°

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12 2697
Q:

PR is a tangent to a circle with centre O and radius 4 cm at point Q. If ∠POR = 90°, OR = 5 cm and OP = 20/3 cm, then the length of PR is:

A) 16/3 cm B) 23/3 cm
C) 25/3 cm D) 3 cm
 
Answer & Explanation Answer: C) 25/3 cm

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3 1394
Q:

From a point, 40 m apart from the foot of a tower, the angle of elevation of its top is 60°. The height of the tower is

A) 40√3 km B) 40√3 cm
C) 40√3 m D) 40√2 m
 
Answer & Explanation Answer: C) 40√3 m

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0 1483
Q:

The radius of a sphere and hemisphere are same. The ratio of their total surface area is

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

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0 1300
Q:

Two equal arcs of two circles subtend angle of  60° and 75° at the centre. The ratio of the radii of the two circles is

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

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0 1821
Q:

If x + (1/x) = 2, then what is the value of x64 + x121?

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

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0 1162
Q:

If the diameter of a sphere is 14 cm, then what is the surface area (in sq.cm) of the sphere?

A) 616 B) 308
C) 462 D) 636
 
Answer & Explanation Answer: A) 616

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0 854
Q:

If X+Y=3,XY=2, find the value of X3-Y3

A) 7 B) 3
C) 5 D) 9
 
Answer & Explanation Answer: A) 7

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0 959