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
Eight friends, A, B, C, D, E, F, G and H, are sitting in two lines of four persons each. Both the lines are facing each other. A is facing D. E is to the immediate left of G. H is to the immediate right of B. C is facing G. F is facing H. B is to the immediate right of the person who is facing G. D is to the immediate left of F. Which four persons are sitting in the same line?
Nine employees, K, L, M, N, O, P, Q, R and S, are sitting in the office in a straight line, all facing the east. O is third to the right of M. K is third to the left of P. Q is between P and S. N is fourth to the right of M. P is to the immediate right of N. R is fourth to the left of O. Which of the following statements is NOT correct?
Eight north-facing restaurants named P, Q, R, S, T, U, V and W are located in a straight line. S is second to the left of T. W is third to the left of P. T is between P and V. S is third to the left of V. W is to the immediate right of U. R is third to the right of P. Who is sitting fourth to the right of S?
Anamika, Gopal, Nischal, Vanmayi, Shresta and Sripad are sitting in a straight line facing the north. Nischal is to the immediate left of Gopal. Shresta is between Anamika and Sripad. Sripad is at the second place from the right end. Four persons are sitting between Nischal and Vanmayi. If Gopal and Sripad interchange their positions, then who will be sitting between Vanmayi and Shresta?
A question is given, followed by two statements numbered (I) and (II). You have to decide whether the data provided in the statements is sufficient to answer the question. Read both the statements and select the appropriate answer.
Question: How many people are standing in the row where all people are facing north?
Statements:
(I) A is fourth from the left end; M is second to the right of A; and R is second from the left end.
(II) M is fourth from the right end; only two people Stand between M and B.
