Question : Directions: Which term from among the given options can replace the question mark (?) in the following series to make it logically complete?
UC 169, WE 121, ?, AI 49, CK 25
Option 1: YF 64
Option 2: XH 81
Option 3: XF 64
Option 4: YG 81
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Correct Answer: YG 81
Solution :
Given:
UC 169, WE 121, ?, AI 49, CK 25
Add 2 to the place value of each letter, and identify the square of odd numbers in reverse order to get the next term –
UC 169 ⇒ U + 2 = W; C + 2 = E; 13
2
= 169; 11
2
= 121→WE 121
WE 121 ⇒ W + 2 = Y; E + 2 = G; 11
2
= 121; 9
2
= 81→YG 81
YG 81 ⇒ Y + 2 = A; G + 2 = I; 9
2
= 81; 7
2
= 49→AI 49
AI 49 ⇒ A + 2 = C; I + 2 = K; 7
2
= 49; 5
2
= 25→CK 25
So, the missing term is YG 81. Hence, the fourth option is correct.
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