Question:

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 of the class?

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To convert a rank from the top to a rank from the bottom, subtract the rank from the total number of students and add 1.
  • 20th and 24th
  • 24th and 20th
  • 25th and 21st
  • 26th and 22nd
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The Correct Option is C

Solution and Explanation

Step 1: Understanding the ranking system.
The total number of students is 31.
Manoj’s rank from the top is 7th. To find his rank from the bottom, we use the formula: \[ \text{Rank from bottom} = \text{Total students} - \text{Rank from top} + 1 \] \[ = 31 - 7 + 1 = 25 \] So, Manoj’s rank from the bottom is 25th. Sachin’s rank from the top is 11th. Similarly, we use the formula to find his rank from the bottom: \[ \text{Rank from bottom} = 31 - 11 + 1 = 21 \] So, Sachin’s rank from the bottom is 21st. Step 2: Conclusion.
The correct answer is (3) 25th and 21st.
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