Aptitude and Reasoning Questions

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
Exam Prep: Bank Exams

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Q:

A ladder 13 m long reaches a window which is 12 m above the ground on side of a street. Keeping its foot at the same point, the ladder is turned to the other side of the street to each a window 5m high, then the width of the street is :

A) 17 m B) 16 m
C) 14 m D) 15 m
 
Answer & Explanation Answer: A) 17 m

Explanation:
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Filed Under: Height and Distance
Exam Prep: Bank Exams

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Q:

If  a+1a2 = 3, then the value of a18+ a12+a6 + 1 is

A) 3 B) 1
C) 0 D) 2
 
Answer & Explanation Answer: C) 0

Explanation:
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Q:

In a certain code, 327 means 'don't cut tree', 635 means 'plant one tree', 138 means 'tree gives shade' and 4953 means 'we must plant tree'. Which digit represents 'shade'?

A) 1 B) 4
C) 8 D) cannot be determined
 
Answer & Explanation Answer: D) cannot be determined

Explanation:
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Filed Under: Coding and Decoding
Exam Prep: Bank Exams

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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

Explanation:
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Filed Under: Odd Man Out
Exam Prep: Bank Exams

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Q:

If -5x3+2 = x-6, then find the value of x?

A) 1 B) 2
C) 3 D) 4
 
Answer & Explanation Answer: C) 3

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

If cot ­-4π/3 = x, then the value of x is

A) -1 B) -1/√3
C) √3 D) 1
 
Answer & Explanation Answer: B) -1/√3

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

A series is given with one term missing. Choose the correct alternative from the given ones that will complete the series.

28, 35, 49, ? , 98

A) 65 B) 70
C)  56 D) 74
 
Answer & Explanation Answer: B) 70

Explanation:
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Filed Under: Number Series
Exam Prep: Bank Exams

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