Quantitative Aptitude - Arithmetic Ability Questions

Q:

Of the three numbers, the average of the first number and the second number is 37 more than the average of second number and third number. What is the difference between the first and the third number?

A) 74 B) 73
C) 37 D) cannot be determined
 
Answer & Explanation Answer: A) 74

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Filed Under: Average
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Q:

In an alloy, aluminium and tin are in the ratio of 4 : 5. In the second alloy, the ratio of same elements is 4 : 7. If equal quantities of these two alloys be mixed to form a new alloy, then what will be the ratio of both of these elements in the new alloy?

A) 2 : 3 B) 16 : 35
C) 4 : 5 D) 40 : 59
 
Answer & Explanation Answer: D) 40 : 59

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Filed Under: Alligation or Mixture
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Q:

What is the value of 2sec2A?

A) secA/(cosecA - ­1) + secA/(cosecA +1) B) cosecA/(secA -­1) + cosecA/(secA +1)
C) cosecA/(cosecA - ­1) + cosecA/(cosecA +1) D) secA/(secA - ­1) + secA/(secA +1)
 
Answer & Explanation Answer: C) cosecA/(cosecA - ­1) + cosecA/(cosecA +1)

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Q:

In the following question, select the odd word from the given alternatives.

A) Car B) Cycle
C) Tyre D) Truck
 
Answer & Explanation Answer: C) Tyre

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Filed Under: Odd Man Out
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Q:

If a + b = 1, then a4 + b4 - a3 - b3 - 2a2b2 + ab is equal to

A) 1 B) 2
C) 4 D) 0
 
Answer & Explanation Answer: D) 0

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Q:

If 3 dozen guavas cost Rs. 90, how many guavas can be bought for Rs. 240?

A) 98 B) 96
C) 102 D) 90
 
Answer & Explanation Answer: B) 96

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Q:

If 9/4th of 7/2 of a number is 126, then 7/2th of that number is _____.

A) 56 B) 284
C) 72 D) 26
 
Answer & Explanation Answer: A) 56

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Filed Under: Percentage
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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 cube to that of the cylinder ?

A) 4 : 3 B) 21 : 16
C) 14 : 11 D) 45 : 32
 
Answer & Explanation Answer: C) 14 : 11

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)
VcubeVcylinder = a3πr22h = 14/11
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Filed Under: Volume and Surface Area
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