Question : Directions: In the following question, a series is given with one term missing. Choose the correct alternative from the given ones that will complete the series.
FAG, GAF, HAI, IAH, ?
Option 1: JAK
Option 2: HAK
Option 3: JAI
Option 4: HAL
Correct Answer: JAK
Solution :
Given:
FAG, GAF, HAI, IAH, ?
The second letter is constant. Interchange the first and third letters, then add 1 and 3 to their place value after every two terms.
The first term is FAG. For the second term, interchange the first and third letters and the second letter remains constant. So, the second term will be GAF.
Now, for the third term add 1 and 3 to the place value of the first and third letters, and the second letter remains constant.
G + 1 = H; A; F + 3 = I
For the fourth term, interchange the first and third letters, and the second letter remains constant. So, the fourth term will be IAH.
Now, for the fifth term add 1 and 3 to the place value of the first and third letters, and the second letter remains constant.
I + 1 = J; A; H + 3 = K
So, JAK is the missing term of the series. Hence, the first option is correct.
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