Same rank from both ends: Sunita is 11th from both the left end and the right end of a row of girls. How many girls are there in the row?

Difficulty: Easy

Correct Answer: 21

Explanation:

Introduction / Context:If a person is the k-th from both ends in a single row, the total number is 2k − 1 because the person is counted twice when simply adding.

Given Data / Assumptions:

  • Sunita is 11th from left and also 11th from right.

Concept / Approach:Total N = 2 * 11 − 1.

Step-by-Step Solution:

N = 22 − 1 = 21.

Verification / Alternative check:Positions from both ends sum to N + 1 ⇒ 11 + 11 = 22 = N + 1 ⇒ N = 21.

Why Other Options Are Wrong:

  • 19, 20, 22: Do not satisfy the symmetry condition 11 + 11 = N + 1.
  • None of these: Correct answer available.

Common Pitfalls:Forgetting to subtract 1 after doubling.

Final Answer:21

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