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Manoj and Sachin are ranked seventh and eleventh respectively from the top in  a class of 31 students. What will be their respective ranks from the bottom in the class?
  • a)
    20th and 24th                              
  • b)
    24th and 20th
  • c)
    25th and 21st                         
  • d)
    26th and 22nd
Correct answer is option 'C'. Can you explain this answer?
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Understanding Ranks from the Top
To determine the ranks of Manoj and Sachin from the bottom, we first need to understand their positions in the class of 31 students.
- Manoj's Rank from the Top: 7th
- Sachin's Rank from the Top: 11th
Calculating Ranks from the Bottom
To find the ranks from the bottom, we can use the formula:
- Rank from Bottom = Total Students - Rank from Top + 1
Manoj's Rank from the Bottom
- Total Students = 31
- Rank from Top = 7
Using the formula:
- Rank from Bottom = 31 - 7 + 1
- Rank from Bottom = 31 - 6
- Rank from Bottom = 25
So, Manoj is ranked 25th from the bottom.
Sachin's Rank from the Bottom
- Total Students = 31
- Rank from Top = 11
Using the formula:
- Rank from Bottom = 31 - 11 + 1
- Rank from Bottom = 31 - 10
- Rank from Bottom = 21
So, Sachin is ranked 21st from the bottom.
Final Ranks Summary
- Manoj: 25th from the bottom
- Sachin: 21st from the bottom
Hence, the correct answer is option 'C': 25th for Manoj and 21st for Sachin.
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