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 average temperature for Monday, Tuesday, Wednesday and Thursday was 48° . The average temperature for Tuesday, Wednesday, Thursday and Friday was 52°, If the temperature on Monday was 42°, then the temperature on Friday was (in degrees)

A) 58 B) 56
C) 52 D) 50
 
Answer & Explanation Answer: A) 58

Explanation:
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Filed Under: Average
Exam Prep: Bank Exams

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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:

Which of the following cube in the answer figure cannot be made based on the unfolded cube in the question figure?

 

 

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

Explanation:
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Filed Under: Cubes and Dice
Exam Prep: Bank Exams

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Q:

If the zeroes of the polynomial x2 - ax + b are 3 and 4, then 'a' and 'b' are respectively equal to

A) 4, 3 B) 12, 7
C) 3, 4 D) 7, 12
 
Answer & Explanation Answer: D) 7, 12

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

A piece of paper is folded and cut as shown below in the question figures. From the given answer figures, indicate how it will appear when opened.

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

Explanation:
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Filed Under: Paper Folding
Exam Prep: Bank Exams

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Q:

If curved surface area of a cylinder is 616 sq cm and height is 14 cm, find its radius?

A) 14 cm B) 7 cm
C) 21 cm D) 3.5 cm
 
Answer & Explanation Answer: B) 7 cm

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

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Q:

What is the value of cos2A/(1 + sinA)?

A) 1 + sinA B) 1 ­- sinA
C) 1 -­ secA D) 1 + secA
 
Answer & Explanation Answer: B) 1 ­- sinA

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

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