A ranks fourth in a class, B ranks ninth from the last and if C is ninth after A and just in the middle of A and B, then how many students are there in the class?
Question
A ranks fourth in a class, B ranks ninth from the last and if C is ninth after A and just in the middle of A and B, then how many students are there in the class?
Solution
Step 1: Understand the positions of A, B, and C in the class.
A is 4th in the class. B is 9th from the last. C is 9th after A and is in the middle of A and B.
Step 2: Calculate the position of C in the class.
Since C is 9th after A, and A is 4th, C is at the 13th position (4 + 9).
Step 3: Understand that C is in the middle of A and B.
This means that the number of students between A and C is the same as the number of students between C and B. Since we know that there are 8 students between A and C (C's position - A's position - 1 = 13 - 4 - 1 = 8), there must also be 8 students between C and B.
Step 4: Calculate the total number of students in the class.
We know that B is 9th from the last. So, if we add the number of students between C and B, the position of C, and the position of B from the last, we get the total number of students.
So, the total number of students is 8 (between C and B) + 13 (position of C) + 9 (position of B from the last) = 30 students.
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