A person placed the 9 letters from A to I of the English alphabet into a row such that
• There is exactly two letters' gap between two vowels.
• I and B are placed at the extreme ends.
• D and F are placed between A and E.
• C is placed to the right of B and second to the left of D.
• E is placed exactly between A and I.
Which letter is placed in the middle of the row?
This is a letter arrangement puzzle. Let's solve it step-by-step:
- Extreme Ends: I and B are at the extreme ends. So we have:
_ _ _ _ _ _ _ _ _orB _ _ _ _ _ _ _ IorI _ _ _ _ _ _ _ B - Vowel Placement: There are three vowels (A, E, I). There's exactly two letters between each vowel. Since I is at one end, A and E must be placed with two consonants between each pair. This significantly limits the possibilities.
- D and F between A and E: This gives us a clue about the relative positions of A, D, E, F.
- C's position: C is to the right of B and second to the left of D. This helps to place C and D.
- E's position: E is exactly between A and I. This locks in the positions of A, E, and I.
Let's arrange the letters based on these constraints:
Since I is at one end and there are two letters between vowels, let's assume I is at the right end (we can always reverse the sequence if needed). Then, due to the placement of A, E and the condition of two letters between vowels, we get:
B _ _ A _ _ E _ _ I
Now, let's incorporate the positions of C, D, and F:
C is to the right of B and two to the left of D. This gives us:
B C _ A _ _ E _ _ I. Since D is two to the right of C, D must be in the position before E.
B C _ A D F E _ _ I
Now, we need to place the remaining letters, G and H. They fit between B and A:
B C G H A D F E _ I
We now have the final arrangement: B C G H A D F E J I
Therefore, the letter in the middle of the row is F.
Why other options are incorrect:
- E: E is not in the middle.
- G: G is not in the middle.
- D: D is not in the middle.
Therefore, the correct answer is F.
Important Questions from Linear Arrangement
M, N, L, O, Q and H are sitting in a row. Q and H are in the centre. M and N are at the ends. L is sitting to the immediate left of N. Who is to the right of M?
Five friends, Shruti, Shreya, Anup, Ankit and Kiran, are sitting in a row facing towards the south. Shruti is between Shreya and Anup. Kiran and Shreya are sitting at the extreme ends of the west and east, respectively. Who is sitting in the middle?
Five students are standing in a line. Suman is standing next to Pranav but not next to Deena. Kumar is standing next to Raju, who is standing on the extreme left, and Deena is not standing next to Kumar.
Who is standing in the middle?Eight friends, A, B, C, D, E, F, G and H, are sitting in a straight line, all facing the north. F is sitting between D and G. B is sitting between H and A. E is third to the left of G. G is sitting at one of the corners. H is third to the left of C. Who is sitting between A and E?
Five students are sitting in a row. Akbar is to the left of the person sitting in the middle, but to the right of Sekar. Prakash is to the right of Deva, and Ram is to the right of Prakash. Ram is second from the person sitting in the middle. Who is the person sitting in the middle?
