A series is given with one term missing. Choose the correct alternative from the given ones that will complete the series.
DP, EY, FJ, ?
- AGX
- BGS
- CGT
- DGW
Solution & Step-by-step Explanation
Let's break down each letter pair into its individual components and track positions:
First Letter:
D
+1
E
+1
F
+1
G
Second Letter:
P=16
Y=25⟹16+9=25
J=10⟹25+11=36≡10(mod26)
Next must add 13: J(10)+13=23=W
Alternatively, look at the second letters directly:
P(16)
+9
Y(25)
Y(25)
+11
J(10)
J(10)
+13
W(23)
Combining both parts, the missing next term is GW.
First Letter:
D
+1
E
+1
F
+1
G
Second Letter:
P=16
Y=25⟹16+9=25
J=10⟹25+11=36≡10(mod26)
Next must add 13: J(10)+13=23=W
Alternatively, look at the second letters directly:
P(16)
+9
Y(25)
Y(25)
+11
J(10)
J(10)
+13
W(23)
Combining both parts, the missing next term is GW.