Bank Clerk Questions


Q:

There are 6561 balls are there out of them 1 is heavy. Find the minimum number of times the balls have to be weighted for finding out the heavy ball ?

A) 2414 B) 204
C) 87 D) 8
 
Answer & Explanation Answer: D) 8

Explanation:

Suppose there are 9 balls

 

Let us give name to each ball B1 B2 B3 B4 B5 B6 B7 B8 B9

 

Now we will divide all the balls into 3 groups.

 

Group1 - B1 B2 B3

 

Group2 - B4 B5 B6

 

Group3 - B7 B8 B9

 

Step1 - Now weigh any two groups. Let's assume we choose Group1 on left side of the scale and Group2 on the right side.

 

So now when we weigh these two groups we can get 3 outcomes.

 

Weighing scale tilts on left - Group1 has a heavy ball.
Weighing scale tilts on right - Group2 has a heavy ball.
Weighing scale remains balanced - Group3 has a heavy ball.
Lets assume we got the outcome as 3. i.e Group 3 has a heavy ball.

 

Step2 - Now weigh any two balls from Group3. Lets assume we keep B7 on left side of the scale and B8 on right side.

 

So now when we weigh these two balls we can get 3 outcomes.

 

Weighing scale tilts on left - B7 is the heavy ball.
Weighing scale tilts on right - B8 is the heavy ball.
Weighing scale remains balanced - B9 is the heavy ball.
The conclusion we get from this Problem is that each time weigh. We element 2/3 of the balls.

 

As we came to conclusion that Group3 has the heavy ball from Step1, we remove 6 balls from the equation i.e (2/3) of 9.

 

Simillarly we do the ame thing for the Step2.

 

Now going with this conclusion. We have 6561 balls.

 

Step - 1

 

Divided into 3 groups

 

Group1 - 2187Balls

 

Group2 - 2187Balls

 

Group3 - 2187Balls

 

Taking the similar steps as we did in the above example, we come to the conclusion that Group1 has the heavy ball.

 

Step - 2

 

Divided into 3 groups

 

Group1 - 729Balls

 

Group2 - 729Balls

 

Group3 - 729Balls

 

Taking the similar steps as we did in the above example, we come to the conclusion that Group1 has the heavy ball.

 

Step - 3

 

Divided into 3 groups

 

Group1 - 243Balls

 

Group2 - 243Balls

 

Group3 - 243Balls

 

Taking the similar steps as we did in the above example, we come to the conclusion that Group1 has the heavy ball.

 

Step - 4

 

Divided into 3 groups

 

Group1 - 81Balls

 

Group2 - 81Balls

 

Group3 - 81Balls

 

Taking the similar steps as we did in the above example, we come to the conclusion that Group1 has the heavy ball.

 

Step - 5

 

Divided into 3 groups

 

Group1 - 27Balls

 

Group2 - 27Balls

 

Group3 - 27Balls

 

Taking the similar steps as we did in the above example, we come to the conclusion that Group1 has the heavy ball.

 

Step - 6

 

Divided into 3 groups

 

Group1 - 9Balls

 

Group2 - 9Balls

 

Group3 - 9Balls

 

Taking the similar steps as we did in the above example, we come to the conclusion that Group1 has the heavy ball.

 

Step - 7

 

Divided into 3 groups

 

Group1 - 3Balls

 

Group2 - 3Balls

 

Group3 - 3Balls

 

Taking the similar steps as we did in the above example, we come to the conclusion that Group1 has the heavy ball.

 

Step - 8

 

So now when we weigh 2 balls out of 3 we can get 3 outcomes.

 

Weighing scale tilts on left - left side placed is the heavy ball.
Weighing scale tilts on right - right side placed is the heavy ball.
Weighing scale remains balanced - remaining ball is the heavy ball.
So the general answer to this question is, it is always multiple of 3 steps.

 

For 9 balls  32= 9. therefore 2 steps

 

For 6561 balls 38 = 6561 therefore 8 steps

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Filed Under: Arithmetical Reasoning
Exam Prep: CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk

13 13341
Q:

An Excel Workbook is a collection of

A) Charts B) Worksheets
C) Both A & B D) None of the above
 
Answer & Explanation Answer: C) Both A & B

Explanation:

An M.S Excel Workbook is a collection of both Worksheets and Charts.

 

An_Excel_Workbook_is_a_collection_of1558067892.jpg image

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29 13324
Q:

Crack the Relation Logical Puzzle ?

20108561_1367416623365438_8515941278875417415_n1501053222.jpg image

A) Son B) Himself
C) Father D) Uncle
 
Answer & Explanation Answer: C) Father

Explanation:

Man's Father is Madhu's Father's Son => Madhu itself. So the Man in the photograph is Madhu's son. 

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Filed Under: Logic Puzzles
Exam Prep: AIEEE , Bank Exams , CAT
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48 13313
Q:

Oxygen : Burn :: Carbon dioxide : ?

A) Extinguish B) Explode
C) Isolate D) Foam
 
Answer & Explanation Answer: A) Extinguish

Explanation:

Oxygen helps in burnings while carbon dioxide extinguished fires.

 

Hence, Oxygen : Burn :: Carbon dioxide : Extinguish.

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Filed Under: Analogy
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Analyst , Bank Clerk , Bank PO

13 13300
Q:

A number increased by 30% gives 390. The number is

A) 180 B) 300
C) 480 D) 260
 
Answer & Explanation Answer: B) 300

Explanation:

Let the number be 'N'
Given N + 30N/100 = 390
=> 130N/100 = 390
=> N = 390 x 10/13
=> N = 300.

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Filed Under: Percentage
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16 13282
Q:

96 is divided into two parts in such a way that seventh part of first and ninth part of second are equal. Find the smallest part ?

A) 42 B) 54
C) 46 D) 58
 
Answer & Explanation Answer: A) 42

Explanation:

Let x and y be the two parts of 96.

x/7 = y/9 => x:y = 7:9

=> The smallest part is = 7/16 x 96 = 42.

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Filed Under: Problems on Numbers
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8 13264
Q:

What is the theme of 2017 World Telecommunication and Information Society Day (WTISD)  ?

A) Entrepreneurship for social impact B) Reduce digital divide
C) Promote digital education for social welfare D) Big data for big impact
 
Answer & Explanation Answer: D) Big data for big impact

Explanation:

The World Telecommunication and Information Society Day (WTISD) is observed every year on May 17 to mark the anniversary of the signing of the first International Telegraph Convention (ITC) and the creation of the International Telecommunication Union (ITU). The purpose of the day is to help raise awareness of the possibilities that the use of the Internet and other information and communication technologies (ICT) can bring to societies and economies, as well as of ways to bridge the digital divide. The 2017 theme “Big Data for Big Impact” focuses on the power of Big Data for development and aims to explore how to turn imperfect, complex, often unstructured data into actionable information in a development context.

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Filed Under: Important Days and Years
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Job Role: Analyst , Bank Clerk , IT Trainer

15 13258
Q:

If MILITARY can be written as 1, 2, 3, 2, 4, 5, 6, 7 then how can TIMLI be written in that code ?

A) 2, 3, 1, 4, 2 B) 4, 2, 1, 5, 7
C) 3, 4, 5, 1, 6 D) 4, 2, 1, 3, 2
 
Answer & Explanation Answer: D) 4, 2, 1, 3, 2

Explanation:
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Filed Under: Coding and Decoding
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67 13250