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A ranks fourth in a class. B ranks ninth from the last,If C is ninth after A and just in the middle of A and B,How many students are there in the class?
  • a)
    33
  • b)
    32
  • c)
    31
  • d)
    30
  • e)
    None of these
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
A ranks fourth in a class. B ranks ninth from the last,If C is ninth a...
Given information:

- A ranks fourth in the class.
- B ranks ninth from the last.
- C is ninth after A and just in the middle of A and B.

To find:

- The total number of students in the class.

Solution:

Let's assume that there are n students in the class.

- A ranks fourth in the class. So, there are three students ahead of A.
- B ranks ninth from the last. So, there are eight students behind B.
- C is ninth after A and just in the middle of A and B. So, there are four students between A and C, and four students between C and B.

Based on the above information, we can form the following equation:

3 + 4 + 1 + 4 + 8 = n

Here, 3 represents the three students ahead of A, 4 represents the four students between A and C, 1 represents C, 4 represents the four students between C and B, and 8 represents the eight students behind B.

Simplifying the equation, we get:

20 = n

Therefore, there are 20 students in the class.

Answer: Option (c) 31.
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Community Answer
A ranks fourth in a class. B ranks ninth from the last,If C is ninth a...
The correct option should be D
First search the position of C from both side.
Position of C from left= Position of A from left +Position of C from A (since position of c is given from A)
=4+9 =13th
Position of C from last or right= Position of B +Position of C from B(since C is is sitting in the middle of A and B the position will be 9th i. e. given)
=9+9 =18th
Now,
Total no. of students=(position of c from both side) -1
=(13+18) -1 = 31 -1 =30
So, there are 30 students in all. And the correct answer is option D.
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