If in a class of 37 students standing in a straight line, the place of Radha and Sita are 10th and 16th respectively, what are th…

Question

If in a class of 37 students standing in a straight line, the place of Radha and Sita are 10th and 16th respectively, what are their places from the last?

1. A. 28th and 22nd (Correct answer)
2. B. 27th and 21st
3. C. 28th and 20th
4. D. 27th and 22nd

Correct Answer

Option A — 28th and 22nd

Detailed Solution & Explanation

The correct answer is 28th and 22nd.

Key Points

• Use position from the last = total − position from the front + 1.
• Radha: 37 − 10 + 1 = 28th from the last.
• Sita: 37 − 16 + 1 = 22nd from the last.

Additional Information

• The +1 exists because the student herself is counted from both ends; omitting it gives 27 and 21, the intended distractor in option B.
• Cross-check each: 10 + 28 = 38 = 37 + 1, and 16 + 22 = 38. Both hold.
• The same relation solves the reverse question: given both positions, total = sum of the two positions − 1.