Letter series

user December 8, 2023

(36) In the series L2M, O5P, R10S, ____, X20Y, what comes next?

(a) Z25A
(b) Z25X
(c) Z25T
(d) Z25U

Correct Answer: (c) Z25T
The pattern in the series involves increasing the first letter by three steps in the alphabet (L to O to R, etc.), adding 5 to the number each time (2 to 5 to 10, etc.), and increasing the last letter by one position. So the next sequence should be Z25T.
\[ \text{If } L_1, N, L_2 \text{ are the first letter, number, and second letter respectively, then the pattern follows: } L_1 = L_1 + 3, N = N + 5, L_2 = L_2 + 1 \]

(37) If the series is G2I, K5M, O10P, ____, U20W, what should fill the blank?

(a) Q14R
(b) Q15R
(c) R15R
(d) R14R

Correct Answer: (b) Q15R
This series follows a pattern where the first letter increases by four positions in the alphabet (G to K to O, etc.), the number is multiplied by 2 each time (2 to 5 to 10, etc.), and the last letter increases by one position. Therefore, the missing sequence is Q15R.
\[ \text{With } L_1, N, L_2 \text{ as the first letter, number, and second letter respectively, the rule is: } L_1 = L_1 + 4, N = N \times 2, L_2 = L_2 + 1 \]

(38) In the series V2U, S6T, P12S, ____, L20R, what comes next?

(a) H28Q
(b) H26Q
(c) H28R
(d) H26R

Correct Answer: (b) H26Q
The pattern in the series involves decreasing the first letter by three steps in the alphabet (V to S to P, etc.), adding 6 to the number each time (2 to 6 to 12, etc.), and decreasing the last letter by one position. So the next sequence should be H26Q.
\[ \text{If } L_1, N, L_2 \text{ are the first letter, number, and second letter respectively, then the pattern follows: } L_1 = L_1 – 3, N = N + 6, L_2 = L_2 – 1 \]

(39) If the series is D2F, H6I, M12K, ____, S24N, what should fill the blank?

(a) R24M
(b) R18L
(c) R30M
(d) R20L

Correct Answer: (b) R18L
This series follows a pattern where the first letter increases by four positions in the alphabet (D to H to M, etc.), the number is multiplied by 3 each time (2 to 6 to 12, etc.), and the last letter increases by one position. Therefore, the missing sequence is R18L.
\[ \text{With } L_1, N, L_2 \text{ as the first letter, number, and second letter respectively, the rule is: } L_1 = L_1 + 4, N = N \times 3, L_2 = L_2 + 1 \]

(40) In the series A2C, E6F, I12H, ____, Q20J, what comes next?

(a) M16K
(b) M16I
(c) M16H
(d) M16G

Correct Answer: (c) M16H
The pattern in the series involves increasing the first letter by four steps in the alphabet (A to E to I, etc.), adding 4 to the number each time (2 to 6 to 12, etc.), and increasing the last letter by one position. So the next sequence should be M16H.
\[ \text{If } L_1, N, L_2 \text{ are the first letter, number, and second letter respectively, then the pattern follows: } L_1 = L_1 + 4, N = N + 4, L_2 = L_2 + 1 \]

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