Quantitative Aptitude - Arithmetic Ability Questions

Q:

In the following question, four number pairs are given. The number on left side of (–) is related to the number of the right side of (–) with some Logic/Rule/Relation. Three are similar on basis of same Logic/Rule/Relation. Select the odd one out from the given alternatives.

A) 11 – 121   B) 13 – 169
C) 19 – 361 D) 17 – 279
 
Answer & Explanation Answer: D) 17 – 279

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Filed Under: Odd Man Out
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Q:

In the following question, four number pairs are given. The number on left side of (–) is related to the number on the right side of (–) with some Logic/Rule/Relation. Three are similar on basis of same Logic/Rule/Relation. Select the odd one out from the

A) 15 – 45 B) 11 – 33
C) 15 – 55 D) 19 – 57
 
Answer & Explanation Answer: C) 15 – 55

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Q:

The difference between the largest and the smallest angles of a triangle whose angles are in the ratio of 5:3:10 is

A) 20° B) 30°
C) 50° D) 70°
 
Answer & Explanation Answer: D) 70°

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Q:

12 men and 16 women together can complete a work in 4 days. It takes 80 days for one man alone to complete the same work, then how many days would be required for one woman alone to complete the same work?

 

A) 160 B) 150
C) 130 D) 175
 
Answer & Explanation Answer: A) 160

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Filed Under: Time and Work
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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:

In a class of 50 students there are 27 girls. The average weight of these girls is 45 kg and average weight of the full class is 49.6 kgs. What is the average weight of the boys of the class?

A) 55 B) 54.2
C) 53.4 D) 53
 
Answer & Explanation Answer: A) 55

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Filed Under: Average
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Q:

The smallest number that must be subtracted from 2800 so that the obtained number is a perfect square is

A) 9 B) 69
C) 96 D) 73
 
Answer & Explanation Answer: B) 69

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Filed Under: Problems on Numbers
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Q:

Select the odd letters from the given alternatives.

A) DFH B) KMO
C) QTW D) SUW
 
Answer & Explanation Answer: C) QTW

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Filed Under: Odd Man Out
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