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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

The HCF of 24, 60 and 90 is:

A) 3 B) 6
C) 12 D) 4
 
Answer & Explanation Answer: B) 6

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Filed Under: HCF and LCM
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Q:

 In the triangle ABC, the internal bisector of angle A meets the side BC at D. If BD=7.5 cm and BC=9 cm. Then calculate the value of AB:AC.

 

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

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Filed Under: Ratios and Proportions
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Q:

Ages of Lalu and Balu are in the ratio of 1 : 2. After 7 years their ages ratio changes to 3 : 5. The elder person age is

A) 32 B) 24
C) 20 D) 28
 
Answer & Explanation Answer: D) 28

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Filed Under: Problems on Ages
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Q:

The vertical angle A of an isosceles triangle ΔABC is three times the angle B of it. The measure of the angle A is

A) 90° B) 108°
C) 100° D) 36°
 
Answer & Explanation Answer: B) 108°

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Filed Under: Quantitative Aptitude - Arithmetic Ability

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Q:

ABCD is a quadrilateral in which BD and AC are diagonals then

A) AB + BC + CD + AD< AC + BD B) AB + BC + CD + DA>AC + BD
C) AB + BC + CD + DA=AC + BD D) AB + BC + CD + DA>2(AC + BD)
 
Answer & Explanation Answer: B) AB + BC + CD + DA>AC + BD

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Filed Under: Volume and Surface Area
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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:

The average salary of all workers in a workshop is Rs.12000. The average salary of 7 technicians is Rs.15000 and the average salary of the rest is Rs.9000. The total number of workers in the workshop is

A) 12 B) 13
C) 14 D) 15
 
Answer & Explanation Answer: C) 14

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Filed Under: Average
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Q:

A cube is inscribed in a sphere. A right circular cylinder is within the cube touching all the vertical faces. A right circular once is inside the cylinder. Their heights are same and the diameter of the cone is equal to that of the cylinder.

What is the ratio of the volume of the sphere to that of cone?

A) 6√3:1 B) 7 : 2
C) 3√3:1   D) 5√3:1
 
Answer & Explanation Answer: A) 6√3:1

Explanation:
The top view of the given assembly will look like the figure above
Outermost is the sphere. Inside that there is a cube and within that there is a cone and cylinder with same radius.
Here side of cube = a
Diameter of Sphere = body diagnol = √3 a
Radius of sphere = √3 a/2 =r1
Height of Cylinder = Height of cone = side of cube = a =h
Radius of cylinder = Radius of cone = side of cube/2 = a/2 =r2(as shown in the figure)
Volume of sphere/volume of cone = 43πr1313πr22h = 6√3:1
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Filed Under: Volume and Surface Area
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