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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 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:

If 18∆4 = 11, 16∆8 = 12 and 6∆12 = 9, then find the value of 18∆14 = ?

A) 16 B) 12
C) 4 D) 20
 
Answer & Explanation Answer: A) 16

Explanation:
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Filed Under: Coding and Decoding
Exam Prep: Bank Exams

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Q:

Which of the following options correctly describes the given statement.

 

Statement :

 

There are four rooks in a game of chess.

 

A) Never B) Often
C) Always D) Sometimes
 
Answer & Explanation Answer: C) Always

Explanation:
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Filed Under: Verification of Truth of the statement
Exam Prep: Bank Exams

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Q:

An animal zygote divides to form

A) an egg B) sperm
C) flagella D) blastula
 
Answer & Explanation Answer: D) blastula

Explanation:

Fertilization is the process in which a single haploid sperm fuses with a single haploid egg fuse to form a zygote.  

An animal zygote under go mitosis and divides to form a hallow ball of cells called blastula.

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Filed Under: Animals and Birds
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Q:

Second and third class levers are differentiated by

A) the location of the load B) the location of the fulcrum
C) the presence of multiple loads D) the type of fulcrum present
 
Answer & Explanation Answer: A) the location of the load

Explanation:
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Filed Under: Physics
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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Q:

What is a Common Multiple?

Answer

If the Multiples for two or more numbers which are Common, then those Multiples are said to be Common Multiples. 


 


For Example :


Multiples of 3 are 3, 6, 9, 12, 15, 18, 21, 24, 27, 30,...


Multiples of 5 are 5, 10, 15, 20, 25, 30,...


Here common multiples of 3 & 5 upto 30 are 15, 30.

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Subject: HCF and LCM Exam Prep: AIEEE , Bank Exams , CAT , GATE
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Q:

The ratio of the members of blue to red balls in abag is constant. When there were 44 red balls, the number of blue balls was 36. If the number of blue balls is 54, how many red balls will be in the bag?

A) 68 B) 32
C) 64 D) 66
 
Answer & Explanation Answer: D) 66

Explanation:
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Filed Under: Permutations and Combinations
Exam Prep: Bank Exams

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Q:

'.bak' extension refers to what kind of file?

A) Document B) Movie/Video file
C) Backup file D) Audio file
 
Answer & Explanation Answer: C) Backup file

Explanation:

In computing, ".bak" is a filename extension commonly used to signify a backup copy of a file.

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Filed Under: Computer
Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE
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