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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

ΔABC is right angled at B. BD is an altitude. AD = 3 cm and DC = 9 cm. What is the value of AB (in cm)?

A) 6 B) 5
C) 4.5 D) 5.5
 
Answer & Explanation Answer: A) 6

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Filed Under: Quantitative Aptitude - Arithmetic Ability
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Q:

The mean of 12 observations is 15. One more observation is included and the new mean becomes 16. The 13th observation is

A) 2 B) 24
C) 26 D) 28
 
Answer & Explanation Answer: D) 28

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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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Q:

199994 x 200006 = ?

A) 39999799964 B) 39999999864
C) 39999999954 D) 39999999964
 
Answer & Explanation Answer: D) 39999999964

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Filed Under: Simplification
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Q:

Point A divides segment BC in the ratio 4:1. Co-ordinates of B are (6 , 1) and C are (7/2 , 6). What are the co-ordinates of point A?

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

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Filed Under: Simplification
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Q:

The ratio of two positive numbers is 3:4. The sum of their squares is 400. What is the sum of the numbers?

A) 28 B) 22
C) 24 D) 26
 
Answer & Explanation Answer: A) 28

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Filed Under: Ratios and Proportions
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Q:

Which of the following triangle has the maximum area when inscribed inside the circle of same radius?

A) Scalene B) Isosceles  
C) Equilateral D) Right angled
 
Answer & Explanation Answer: C) Equilateral

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Filed Under: Area
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Q:

The ratio of present ages of Ratnabali and Shaukat is 8:5. After 22 years the ratio of their ages will be 10:9. At present, what is Ratnabali's age?

A) 5 B) 14
C) 81 D) 8
 
Answer & Explanation Answer: D) 8

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Filed Under: Problems on Ages
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