Series – Railway Reasoning part – 15

E + 5 = J
O + 5 = T
J + 5 = O
T + 5 = Y

Given :- Y - 25, W - 23, U - 21, S - 19 Logic : - Letters are decreasing by 2, so the next will be Q-17

Pattern for the First Letter

Let's look at the first letter of each term:

• E (in EHI)
• F (in FJK)
• G (in GLM)
• H (in HNO)

The sequence of first letters is E, F, G, H. This is a simple alphabetical progression.

Following this pattern, the next first letter should be the letter that comes after H in the alphabet, which is I.

Pattern for the Second Letter

Now, let's look at the second letter of each term:

• H (in EHI)
• J (in FJK)
• L (in GLM)
• N (in HNO)

The sequence of second letters is H, J, L, N. Let's see the difference between consecutive letters:

• H to J: Skips I (H → I → J) - +2 positions
• J to L: Skips K (J → K → L) - +2 positions
• L to N: Skips M (L → M → N) - +2 positions

There is a consistent pattern of skipping one letter in the alphabet to get the next second letter.

Following this pattern, the next second letter after N should skip O and be P (N → O → P).

Pattern for the Third Letter

Finally, let's look at the third letter of each term:

• I (in EHI)
• K (in FJK)
• M (in GLM)
• O (in HNO)

The sequence of third letters is I, K, M, O. Let's see the difference between consecutive letters:

• I to K: Skips J (I → J → K) - +2 positions
• K to M: Skips L (K → L → M) - +2 positions
• M to O: Skips N (M → N → O) - +2 positions

There is also a consistent pattern of skipping one letter in the alphabet to get the next third letter.
Following this pattern, the next third letter after O should skip P and be Q (O → P → Q).

Combining the Patterns

Based on the analysis of each letter position:

• The next first letter is I.
• The next second letter is P.
• The next third letter is Q.

Combining these, the next term in the series is IPQ.

Verifying with Options

Let's check the given options:

• IMN: Does not match our predicted term IPQ.
• IPQ: Matches our predicted term IPQ.
• IQP: Does not match our predicted term IPQ (the second and third letters are in the wrong order).
• IRS: Does not match our predicted term IPQ.

The option that matches our derived pattern is IPQ.

The correct option that completes the letter series is IPQ.