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In a row, Amit is 12th from the left and Sunil is 15th from the right. After they interchange their positions, Amit becomes 17th from the left. What is the total number of persons in the row?

A30

B29

C31

D32

Answer:

C. 31

Read Explanation:

The total number of persons in the row is 31.

  1. Understand Sunil's original position
    Sunil is initially 15th from the right.

  2. Understand Amit's new position
    After interchanging, Amit takes Sunil's old place. Amit is now 17th from the left.

  3. Calculate the total number of people
    Since this single position is now known from both sides (17th from the left and 15th from the right), add both ranks together and subtract 1 (so that the person in that spot isn't counted twice).


    Total=(Position from Left)+(Position from Right)1\text{Total} = (\text{Position from Left}) + (\text{Position from Right}) - 1
    Total=17+151=31\text{Total} = 17 + 15 - 1 = 31


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