Meena and Reena are ranked 7th and 11th from the top, respectively, in a class…

2024

Meena and Reena are ranked 7th and 11th from the top, respectively, in a class of 41 students. What are their respective ranks from the bottom?

Answer: D. 35, 31ConceptIn a list of N people, the top rank and bottom rank of the same person include that person in both counts. Therefore, top rank + bottom rank = N + 1,…

  1. A.

    36, 32

  2. B.

    35, 33

  3. C.

    33, 35

  4. D.

    35, 31

Show answer & explanation

Correct answer: D

Concept

In a list of N people, the top rank and bottom rank of the same person include that person in both counts.

Therefore, top rank + bottom rank = N + 1, or bottom rank = N - top rank + 1.

Application

  1. Here N = 41.

  2. For Meena, bottom rank = 41 - 7 + 1 = 35.

  3. For Reena, bottom rank = 41 - 11 + 1 = 31.

Cross-check

For each person, top rank + bottom rank must equal 42. Meena: 7 + 35 = 42; Reena: 11 + 31 = 42.

Result

Their respective ranks from the bottom are 35 and 31.

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