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Which of the following completes the series: BDF 25, CEG 20, DFH 15, EGI 10, ?
FHJ 5
FHI 5
FGH 5
FHJ 8
FHJ 5
Observe the pattern of first letters (+1), second letters (+1), third letters (+1) and the numerical part (-5).
Observe the pattern of first letters (+1), second letters (+1), third letters (+1) and the numerical part (-5).
Analyze the Letter Triplet Pattern
Each triplet follows a +1 increment for every position: B → C → D → E → F (1st letter), D → E → F → G → H (2nd letter), F → G → H → I → J (3rd letter).
Analyze the Numerical Pattern
The numbers follow a simple arithmetic progression: 25 - 5 = 20, 20 - 5 = 15, 15 - 5 = 10, 10 - 5 = 5.
Calculate the final term
Applying the pattern to EGI 10: E+1=F, G+1=H, I+1=J, and 10-5=5. Result: FHJ 5.
B: FHI 5 is incorrect because the third letter must be J (I+1), not I. C: FGH 5 is incorrect because the second and third letters must be H and J, not G and H. D: FHJ 8 is incorrect because the number must be 5 (10-5), not 8.
A is correct because applying the +1 increment to each letter in EGI (E+1=F, G+1=H, I+1=J) and subtracting 5 from the number (10-5=5) results in FHJ 5.
For alphanumeric series, always solve the letter sequence and numerical sequence separately to avoid confusion; checking the middle letter first can often eliminate half the options immediately.