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:

The rate of simple interest for which a sum of money becomes 5 times in 8 years is

A) 30% B) 40%
C) 50% D) 55%
 
Answer & Explanation Answer: C) 50%

Explanation:
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Filed Under: Percentage
Exam Prep: Bank Exams

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Q:

Three words in bold letters are given in each question, which have something in common among themselves. Out of the four given alternatives, choose the most appropriate description about these three words.

Yeats: Ghalib: Kabir

A) They were social reformers. B) They were famous poets.
C) They were saints D) They were yoga instructors.
 
Answer & Explanation Answer: B) They were famous poets.

Explanation:

They were famous poets.

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Q:

In the following question, two statements are given each followed by two conclusions I and II. You have to consider the statements to be true even if they seem to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follows from the given statements.


Statement:
(I) 28 athletes are facing legal cases due to doping incidents.
(II) The new wave of Olympic doping cases is based on evidences.


Conclusions:
(I) The report of doping is based on the test that happen.
(II) Doping practice is very common these days among athletes.

A) Only conclusion II follows B) Conclusion I and II both follow
C) Neither I nor II follow D) Only conclusion I follows
 
Answer & Explanation Answer: C) Neither I nor II follow

Explanation:
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Filed Under: Statement and Conclusions
Exam Prep: AIEEE , Bank Exams , CAT

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Q:

From the given alternative words, select the word which cannot be formed using the letters of the given word:

DHARAMSALA

A) MASALA B) ARAMANA
C) RAMA D) SAHARA
 
Answer & Explanation Answer: B) ARAMANA

Explanation:
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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. 1,3,7,13,21,?

A) 27 B) 29
C) 31 D) 33
 
Answer & Explanation Answer: C) 31

Explanation:
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Q:

Rearrange the jumbled up letters in their natural sequence ad find the odd one out.

A) EARSUQ B) ONGPOYL
C) NAEGRCELT D) RGETESNH
 
Answer & Explanation Answer: D) RGETESNH

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

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Q:

On Selling a book at 9/14 of the marked price there is loss of 10%. What will be the ratio of marked price and cost price of the book?

 

A) 5 : 9 B) 5 : 8  
C) 7 : 4   D) 7 : 5
 
Answer & Explanation Answer: D) 7 : 5

Explanation:
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Filed Under: Profit and Loss
Exam Prep: Bank Exams

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