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Preeti is 13th from the left end and Geet is 16th from the right end. They interchange their positions, and Rahul who sits 20th from the left end sits at the 4th place to the left of Preeti's new position. How many persons were there in the row if all are facing north?a.42b.39c.None of thesed.40

Question

Preeti is 13th from the left end and Geet is 16th from the right end. They interchange their positions, and Rahul who sits 20th from the left end sits at the 4th place to the left of Preeti's new position. How many persons were there in the row if all are facing north?a.42b.39c.None of thesed.40

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Solution 1

Let's solve this step by step:

  1. Initially, Preeti is 13th from the left end and Geet is 16th from the right end.
  2. They interchange their positions. So now, Preeti is 16th from the right end and Geet is 13th from the left end.
  3. Rahul, who is 20th from the left end, is now 4th to the left of Preeti's new position. This means Rahul is 16 - 4 = 12th from the right end.
  4. Since Rahul is 20th from the left and 12th from the right, there must be 20 + 12 - 1 = 31 people in the row. We subtract 1 because Rahul is counted twice.

So, the answer is c. None of these. There are 31 people in the row.

This problem has been solved

Solution 2

Let's solve this step by step:

  1. Preeti is 13th from the left end and Geet is 16th from the right end. When they interchange their positions, Preeti will be 16th from the right end and Geet will be 13th from the left end.

  2. Rahul is 20th from the left end and sits at the 4th place to the left of Preeti's new position. This means Rahul is sitting at the 12th position from the right end (16 - 4 = 12).

  3. Now, we know that Rahul is 20th from the left and 12th from the right. So, the total number of persons in the row is 20 + 12 - 1 = 31 (we subtract 1 because Rahul is counted twice).

  4. But this is not the total number of persons in the row because Preeti and Geet have interchanged their positions. So, we need to add the positions of Preeti and Geet from the right end to get the total number of persons.

  5. Preeti is 16th from the right and Geet is 13th from the left. So, the total number of persons in the row is 31 + 16 + 13 - 1 = 59 (we subtract 1 because Preeti and Geet are counted twice).

So, the total number of persons in the row is 59. But this option is not given in the choices. So, the answer is c. None of these.

This problem has been solved

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