Find the next term in the following letter series: BFD, ELG, HRJ, ____?

2024

Find the next term in the following letter series: BFD, ELG, HRJ, ____?

Answer: D. KXMConceptIn a grouped letter series, compare letters occupying the same position in successive groups. Converting letters to alphabet positions makes a constant…

  1. A.

    KUM

  2. B.

    JXM

  3. C.

    KTM

  4. D.

    KXM

Attempted by 2 students.

Show answer & explanation

Correct answer: D

Concept

In a grouped letter series, compare letters occupying the same position in successive groups. Converting letters to alphabet positions makes a constant step in each column easy to identify.

Application

  1. First position: B = 2, E = 5, H = 8. The step is +3, so the next letter is K = 11.

  2. Second position: F = 6, L = 12, R = 18. The step is +6, so the next letter is X = 24.

  3. Third position: D = 4, G = 7, J = 10. The step is +3, so the next letter is M = 13.

Cross-check

Reading the three columns independently confirms the same constant increments:

Position

Progression

Increment

Next letter

First

B-E-H-K

+3

K

Second

F-L-R-X

+6

X

Third

D-G-J-M

+3

M

Therefore, the next term is KXM.

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