Finding Middle Value Overlap Case


 
 
Concept Explanation
 

Finding Middle Value Overlap Case

Finding Middle Value ( Overlap Case): In these type of questions we are supposed to find the number of persons between to given persons. Overlap case is a situation when Total Number is less than the sum of the rank from both the end. Values required to find the mid number :

  • Rank of one person from one end.
  • Rank of another person from another end.
  • Total number.
  • Formula to Find Mid Number (Overlap Case) :  When Total Number is less than the addition of rank from both the end. Then such question is based on Mid Number (Overlap Case).

    Mid No. (Overlap Case) = (Rank of one person from one end + Rank of another person from another end) - (Total Number + 2).

    Illustration: In a row of 27 boys, X is 17th from left end and Y is 13th from right end. Find the number of boys are in between X and Y?

    A. 1               B. 2              C. 3              D. 4              E. 5

    Answer: A

    Solution : - Given : Total Number = 27

    Rank of X from left end = 17

    Rank of Y from right end = 13

    To find : How many boys are in between X and Y.

    Formula is :

    Mid No. = (Rank of X from left end + Rank of Y from right end) - (Total No. + 2)

    Mid No. = (17 + 13) - (27 + 2)

    Rightarrow     30 - 29 = 1

    Hence The correct Option is A

    Sample Questions
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    Question : 1

    Along the road side 25 tree are planted in a row, The Banana tree is 18th from left end and The mango tree is 14th from right end. Moreover a Shisham tree is 15th from the left Find the number of tree between mango tree and shisham tree?

    Right Option : C
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    Question : 2

    There are 22 students standing in a row, Ram is 14th from left end and Rohit is 14th from right end. Find the number of students are in between Ram and Rohit?

    Right Option : A
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    Question : 3

    Along the road side 25 tree are planted in a row, The Banana tree is 18th from left end and The mango tree is 14th from right end. Moreover a Shisham tree is 15th from the left Find the number of tree between mango tree and shisham tree? Also find the number of trees between Banana and Mango

    Right Option : C
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    Explanation
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