A series is given with one term missing. Select the correct alternative from the given ones that will complete the series.
QR, VW, BC, ?
- ADE
- BHI
- CIJ
- DOP
Solution & Step-by-step Explanation
Let's track the first letters of each pairs in alphabetical order:
Q
+5
V
+6
B
+7
I
Let's double check the positional steps:
Q=17
V=22 (17+5=22)
B=2 (22+6=28≡2(mod26))
Next step should be +7: 2+7=9⟹I
Now let's check the second letter of each pair:
R
+5
W
+6
C
+7
J
R=18
W=23 (18+5=23)
C=3 (23+6=29≡3(mod26))
Next step should be +7: 3+7=10⟹J
Thus, the missing term is IJ.
Q
+5
V
+6
B
+7
I
Let's double check the positional steps:
Q=17
V=22 (17+5=22)
B=2 (22+6=28≡2(mod26))
Next step should be +7: 2+7=9⟹I
Now let's check the second letter of each pair:
R
+5
W
+6
C
+7
J
R=18
W=23 (18+5=23)
C=3 (23+6=29≡3(mod26))
Next step should be +7: 3+7=10⟹J
Thus, the missing term is IJ.