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 Quantitative Aptitude - Arithmetic Ability Questions

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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:

Find the mean proportional between 2 and 98?

A) 13 B) 14.5
C) 16 D) 14
 
Answer & Explanation Answer: D) 14

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Filed Under: Ratios and Proportions
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Q:

Which of the following ratios can be the ratio of the sides of a right angled triangle?

A) 9:6:3 B) 13:12:5
C) 7:6:5 D) 5:3:2
 
Answer & Explanation Answer: B) 13:12:5

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Filed Under: Quantitative Aptitude - Arithmetic Ability
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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:

A solid brass sphere of radius 2.1 dm is converted into a right circular cylindrical rod of length 7cm. The ratio of total surface areas of the rod to the sphere is

A) 3:1 B) 1:3
C) 7:3 D) 3:7
 
Answer & Explanation Answer: C) 7:3

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Filed Under: Volume and Surface Area
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Q:

The difference between Peter and Preeti's ages is 5 years. When they married each other 35 years ago, 4 times Peter's age was the same as 5 times the age of Preeti. What is the current sum of their ages?

A) 105 years B) 110 years
C) 115 years D) 112 years
 
Answer & Explanation Answer: C) 115 years

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Filed Under: Problems on Ages
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Q:

The list price of an article is Rs. 900. It is available at two successive discounts of 20% and 10% . The selling price of the article is:

A) Rs. 640 B) Rs. 648
C) Rs. 540 D) Rs. 548
 
Answer & Explanation Answer: B) Rs. 648

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Filed Under: Percentage
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Q:

Select the odd letters from the given alternatives.

A) ACE B) FHJ
C) QTW D) KMO
 
Answer & Explanation Answer: C) QTW

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Filed Under: Odd Man Out
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