A series is given with one term missing. Select the correct alternative from the given ones that will complete the series.
DE, HI, LM, ?
- AQA
- BPR
- CPQ
- DPU
Solution & Step-by-step Explanation
Let's analyze the positions of the letters in each pair:
DE:D=4,E=5
HI:H=8,I=9
LM:L=12,M=13
Let's observe the shift between the first letters of consecutive pairs:
D(4)
+4
H(8)
H(8)
+4
L(12)
L(12)
+4
P(16)
Let's observe the shift between the second letters:
E(5)
+4
I(9)
I(9)
+4
M(13)
M(13)
+4
Q(17)
Thus, the missing term is PQ.
DE:D=4,E=5
HI:H=8,I=9
LM:L=12,M=13
Let's observe the shift between the first letters of consecutive pairs:
D(4)
+4
H(8)
H(8)
+4
L(12)
L(12)
+4
P(16)
Let's observe the shift between the second letters:
E(5)
+4
I(9)
I(9)
+4
M(13)
M(13)
+4
Q(17)
Thus, the missing term is PQ.