Aptitude and Reasoning Questions

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:

If cos4θ-sin4θ=13 then the value of tan2θ is

A) 1/2 B) 1/3
C) 1/4 D) 1/5
 
Answer & Explanation Answer: A) 1/2

Explanation:
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Q:

What is the difference of the factors of the expression x2 + (1/x2) – 6?

A) 0 B) 1
C) 2 D) 4
 
Answer & Explanation Answer: D) 4

Explanation:
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Q:

Two successive discounts of 12% and 20% are given by Rajat on a shirt. If the marked price of the shirt is Rs 500, then what is the value (in Rs) of discount?

 

A) 198   B) 152  
C)  148   D) 168
 
Answer & Explanation Answer: C)  148  

Explanation:
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Filed Under: Percentage
Exam Prep: Bank Exams

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Q:

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

 

Headstrong

 

A) Gang   B) Head  
C) Sead D) Strong
 
Answer & Explanation Answer: A) Gang  

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

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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: B) 2

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

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Q:

Consider two-digit numbers which remain the same when the digits interchange their positions. What is the average of such two-digit numbers?

 

A) 33 B) 44
C) 55 D) 66
 
Answer & Explanation Answer: C) 55

Explanation:

All such 2 digit numbers are 11,22,33,44....... upto 99

Forms an AP

So sum = n/2(a+l)

= 9/2(11+99)

Average = sum/9 = ½(11+99) = 55

 

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Filed Under: Numbers
Exam Prep: Bank Exams

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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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