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

0 1098
Q:

If the diameter of a hemisphere is 21 cm, then what is the volume (in cub.cm) of hemisphere?

A) 2810 B) 1250.5
C) 1725.25 D) 2425.5
 
Answer & Explanation Answer: D) 2425.5

Explanation:
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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

0 1098
Q:

In the following question, select the number which can be placed at the sign of ? from the given alternatives.

A) 17 B) 18
C) 10 D) 9
 
Answer & Explanation Answer: C) 10

Explanation:
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Filed Under: Arithmetical Reasoning
Exam Prep: AIEEE , Bank Exams , CAT

0 1098
Q:

ΔXYZ is right angled at Y. If cosX = 3/5, then what is the value of cosecZ ?

A) 3/4 B) 5/3
C) 4/5 D) 4/3
 
Answer & Explanation Answer: B) 5/3

Explanation:
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Q:

Rearrange the jumbled letters to make meaningful words and then select the one which is different.

A) Lowely B) IFER
C) THIWE D) WRONB
 
Answer & Explanation Answer: B) IFER

Explanation:
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Filed Under: Logical Sequence of Words
Exam Prep: Bank Exams

3 1097
Q:

From the given alternatives, select the word which CANNOT be formed using the letters of the given word.

 

Responsibility

 

A) Ability B) Pen
C) Nose D) Possible
 
Answer & Explanation Answer: A) Ability

Explanation:
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Filed Under: Logical Sequence of Words
Exam Prep: Bank Exams

3 1097
Q:

If a mirror is placed on the line MN, then which is the right image of the given figure?

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

Explanation:
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Filed Under: Image Analysis
Exam Prep: Bank Exams

0 1097
Q:

If x - y = -8 and xy = 45, then (x2 + y2) is

A) 154 B) 64
C) 90 D) 26
 
Answer & Explanation Answer: A) 154

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

0 1097