11. In a spelling bee, Anish's placement is both the 11th highest and the 25th lowest among all the spellers who participated. How many spellers participated in the spelling bee?

A. 34
B. 35
C. 36
D. 37
E. 38



Answer :

Certainly! Let's solve this problem step-by-step.

Given:
- Anish's placement is both the 11th highest and the 25th lowest among all the spellers.

Step-by-Step Solution:

1. Understand the Placement Information:
- If Anish is the 11th highest, it means there are 10 spellers who ranked higher than Anish.
- If Anish is the 25th lowest, it means there are 24 spellers who ranked lower than Anish.

2. Determine Anish's Exact Position Among All Spellers:
- Anish's placement is fixed at a particular position among all the spellers. We need to determine the total number of participants using both placements (highest and lowest).

3. Calculate the Total Number of Spellers:
- The number of spellers above Anish: 10
- Anish himself: 1 speller
- The number of spellers below Anish: 24

To find the total number of spellers, we sum the number of spellers above Anish, Anish himself, and the number of spellers below Anish:

[tex]\[ \text{Total number of spellers} = 10 (\text{above}) + 1 (\text{Anish}) + 24 (\text{below}) \][/tex]

4. Perform the Addition:
[tex]\[ \text{Total number of spellers} = 10 + 1 + 24 = 35 \][/tex]

Therefore, the total number of spellers who participated in the spelling bee is:

B. 35