In a class boys stand in a single line. One of the boys is seventeenth in order from both the ends. How many boys are in the class?
Correct Answer :
33
Solution :
The correct option is 33.
To find the total number of boys in the class, we can analyze the position of the boy who is seventeenth in order from both ends of the line.
When we count from the left end of the line, the boy's position is 17th. This means there are 16 boys standing to his left.
Similarly, when we count from the right end of the line, his position is also 17th. This means there are 16 boys standing to his right.
To find the total number of boys in the single line, we sum the number of boys to his left, the boy himself, and the number of boys to his right:
Alternatively, we can use the standard ranking formula:
We subtract 1 because the same boy is counted twice (once from the left and once from the right).
Substituting the given values into the formula:
Therefore, there are 33 boys in the class.
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