Letter series

user December 8, 2023

(6) If the series is C3E, G8I, K15M, ____, S30Q, what should fill the blank?

(a) O23P
(b) O23N
(c) N23N
(d) N23P

Correct Answer: (b) O23N
This series follows a pattern where the first letter increases by four positions in the alphabet (C to G to K, etc.), the number increases by 5 each time (3 to 8 to 15, etc.), and the last letter increases by one position. Therefore, the missing sequence is O23N.
\[ \text{With } L_1, N, L_2 \text{ as the first letter, number, and second letter respectively, the rule is: } L_1 = L_1 + 4, N = N + 5, L_2 = L_2 + 1 \]

(7) In the series F2E, H5G, J9I, ____, N17K, what comes next?

(a) L13M
(b) L13J
(c) M13J
(d) M13M

Correct Answer: (d) M13M
The pattern in the series involves increasing the first letter by two steps in the alphabet (F to H to J, etc.), adding 3 to the number each time (2 to 5 to 9, etc.), and alternating the last letter between increasing and decreasing by one step. So the next sequence should be M13M.
\[ \text{If } L_1, N, L_2 \text{ are the first letter, number, and second letter respectively, then the pattern follows: } L_1 = L_1 + 2, N = N + 3, L_2 = L_2 + (-1)^N \]

(8) If the series is P1R, L4T, H9V, ____, D16X, what should fill the blank?

(a) E25Z
(b) E25Y
(c) E16Y
(d) E16Z

Correct Answer: (a) E25Z
This series follows a pattern where the first letter decreases by four positions in the alphabet (P to L to H, etc.), the number is squared each time (1 to 4 to 9, etc.), and the last letter increases by one position. Therefore, the missing sequence is E25Z.
\[ \text{With } L_1, N, L_2 \text{ as the first letter, number, and second letter respectively, the rule is: } L_1 = L_1 – 4, N = N^2, L_2 = L_2 + 1 \]

(9) In the series U2T, O6S, I12R, ____, A30Q, what comes next?

(a) E20P
(b) E24P
(c) F20P
(d) F24P

Correct Answer: (b) E24P
The pattern in the series involves decreasing the first letter by four steps in the alphabet (U to O to I, etc.), multiplying the number by 3 each time (2 to 6 to 12, etc.), and decreasing the last letter by one position. So the next sequence should be E24P.
\[ \text{If } L_1, N, L_2 \text{ are the first letter, number, and second letter respectively, then the pattern follows: } L_1 = L_1 – 4, N = N \times 3, L_2 = L_2 – 1 \]

(10) If the series is K3M, O6O, S10Q, ____, W18M, what should fill the blank?

(a) U14P
(b) V14P
(c) U14Q
(d) V14Q

Correct Answer: (d) V14Q
This series follows a pattern where the first letter increases by four positions in the alphabet (K to O to S, etc.), the number increases by 4 each time (3 to 6 to 10, etc.), and the last letter decreases by one position. Therefore, the missing sequence is V14Q.
\[ \text{With } L_1, N, L_2 \text{ as the first letter, number, and second letter respectively, the rule is: } L_1 = L_1 + 4, N = N + 4, L_2 = L_2 – 1 \]

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