Uvx ranked 14 th from the top and 79 th from the bottom in his class. How many students are there in his class?

Question

Uvx ranked 14 th from the top and 79 th from the bottom in his class. How many students are there in his class?

1. A. 93
2. B. 92 (Correct answer)
3. C. 90
4. D. 91

Correct Answer

Option B — 92

Detailed Solution & Explanation

The correct answer is 92.

Key Points

• With a single person's rank given from both ends, that person is counted twice, so:
  • $\text{Total} = (\text{rank from top}) + (\text{rank from bottom}) - 1$
  • $= 14 + 79 - 1 = \textbf{92}$

Additional Information

• The −1 removes the double count. Adding straight gives 93, which is offered as a distractor precisely to catch that omission.
• Verify by decomposition: 13 students rank above Uvx, 78 below, plus Uvx himself → $13 + 78 + 1 = 92$ ✓.
• The rearranged form is equally useful: $\text{rank from bottom} = \text{Total} - \text{rank from top} + 1$, giving $92 - 14 + 1 = 79$ ✓.
• The same structure recurs across ranking questions with rows, queues and stacks; only the vocabulary changes, never the arithmetic.