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 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
Exam Prep: Bank Exams

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Q:

The Pie chart 1 given below shows the segregation of 40000000 candidates who have filled the form of an examination. Pie chart 2 shows the segregation 35000000 candidates who were present in the examination. The segregation in both pie charts has been done on the basis of their highest qualification.

50% of others who have filled the form are B. Arch. and 45% of others who were present in the exam are B. Arch. How many B. Arch. candidates did not gave the
exam?

A) 995000 B) 685000
C) 430000 D) 756000
 
Answer & Explanation Answer: A) 995000

Explanation:
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Filed Under: Pie Charts
Exam Prep: Bank Exams

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Q:

In the following question, by using which mathematical operators will the expression become correct?
15 _ 3 _ 4 _ 20

A) x, ÷ and > B) ÷, x and <
C) ÷, x and = D) +, x and =
 
Answer & Explanation Answer: C) ÷, x and =

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.

5 , 10 , 30 , ? , 600 , 3600

A) 120 B) 100
C) 90 D) 60
 
Answer & Explanation Answer: A) 120

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

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Q:

Find  two  natural  numbers  whose  sum  is  85 andtheleast common multiple is 102.

A) 30 & 55 B) 17 & 68
C) 35& 55 D) 51 & 34
 
Answer & Explanation Answer: D) 51 & 34

Explanation:

Let a + b = 85→b = 85 –a

LCM(a,b) =102→ab = 102

k→a(85 –a) = 102k, where k is a natural number.

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Filed Under: Numbers
Exam Prep: Bank Exams

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Q:

Which answer figure will complete the pattern in the question figure?

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

Explanation:
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Filed Under: Pattern Completion
Exam Prep: AIEEE , Bank Exams , CAT

2 1060
Q:

Five men or ten women can complete a job in 20 days. In how many days can 3 men and 4 women complete it?

A) 10 B) 25
C) 15 D) 20
 
Answer & Explanation Answer: D) 20

Explanation:
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Filed Under: Time and Work
Exam Prep: Bank Exams

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Q:

10 persons can do a job in X days. If 20 persons with twice the efficiency can do the same job in 5 days, then find the value of X?

A) 40 B) 15
C) 20 D) 30
 
Answer & Explanation Answer: C) 20

Explanation:
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Filed Under: Time and Work
Exam Prep: Bank Exams

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