UPSC Prelims 2013·CSAT·Quantitative Aptitude·Arithmetic

In a class of 45 students, a boy is ranked 20th. When two boys joined, his rank was dropped by one. What is his new rank from the end?

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Last updated 23 May 2026, 3:31 pm IST
  1. A25th
  2. B26th
  3. C27thCorrect
  4. D28th

Explanation

Here's a brief explanation: 1. Initial total students = 45. 2. Boy's initial rank from top = 20th. 3. His initial rank from the end = (Total students - Rank from top) + 1 = (45 - 20) + 1 = 25 + 1 = 26th. 4. When two boys joined, new total students = 45 + 2 = 47. 5. His rank was "dropped by one". This means his numerical rank increased by one (he moved further down the list). So, his new rank from the top = 20 + 1 = 21st. 6. His new rank from the end = (New total students - New rank from top) + 1 = (47 - 21) + 1 = 26 + 1 = 27th. Therefore, his new rank from the end is 27th. Analyzing the options: A) 25th: Incorrect. This would imply a different calculation of total students or rank. B) 26th: Incorrect. This was his original rank from the end. C) 27th: Correct. Matches our calculation. D) 28th: Incorrect. This would imply his rank from the top was 20th and total students 47, or his rank from the top was 22nd with 47 students.
Quantitative Aptitude: In a class of 45 students, a boy is ranked 20th. When two boys joined, his rank was dropped by one. What is his new rank

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