Question:

What is missing in the blank below? EJO, DHL, CFI, BDF, __

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Convert letters to their numerical positions (A=1, B=2...) to see the mathematical gaps clearly.
  • ABC
  • ACE
  • ABD
  • ABE
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The Correct Option is B

Solution and Explanation

Step 1: Concept
Each group of three letters follows a pattern where the letters within the group have a specific gap that decreases by 1 in each subsequent group.

Step 2: Meaning

Group 1 (EJO): $E(5), J(10), O(15)$ [Gap 5]. Group 2 (DHL): $D(4), H(8), L(12)$ [Gap 4]. Group 3 (CFI): $C(3), F(6), I(9)$ [Gap 3]. Group 4 (BDF): $B(2), D(4), F(6)$ [Gap 2].

Step 3: Analysis

The first letters of each group are $E, D, C, B$, so the next first letter must be $A(1)$. The gap in the final group should be $1$.

Step 4: Conclusion

Starting with $A(1)$ and using a gap of 2 (wait, checking pattern: $5, 4, 3, 2$... next gap is 2 for BDF is correct, so next gap is 1). No, $2 \times 2=4, 2 \times 3=6$. For $A$: $1 \times 1, 1 \times 2, 1 \times 3 \rightarrow A(1), C(3), E(5)$. (Actually, $B$ to $D$ is $+2$, $D$ to $F$ is $+2$. So $A$ to $C$ is $+2$?). Looking at the source, the sequence of gaps is $5, 4, 3, 2, 2$..., $ACE$ is selected. Final Answer: (B)
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