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
Seven people, A, B, C, D, E, F and G, are sitting in a straight row facing the north. Only two people sit to the left of C. Only two people sit between A and B. B sits to the left of A. E is an immediate neighbour of A to the right. Only one person sits to the right of D. F is not an immediate neighbour of B. Who sits at the centre?
P, Q, R and S are sitting on a bench and facing in the same direction. P sits next to Q but not next to R. S, who is sitting on the extreme right, does not sit next to either Q or R. How many of them each have two neighbors?
5 boys A, B, C, D and E are sitting in a row. E is sitting between D and A, B is to the right of A, C is at one of the extreme ends and C and D are sitting next to each other. Which of the following statement is false?
Five friends Ram, Priya, Raunak, Aditya and Shyam are sitting in a row facing north. Raunak is to the right of Shyam and Priya is to the left of Shyam but to the right of Rama. Raunak is to the left of Aditya. Who is fourth from the left end?
Seven friends P, Q, R, S, T, U, and V are sitting in a straight line facing north. Q sits fifth to the right of T. Q does not sit at any of the extreme ends. Two people sit between U and R. S sits third to the left of V. S sits exactly in the middle. U is not an immediate neighbour of P.
How many people sit between R and V?
