Letter series

user December 8, 2023

(21) In the series V2X, R5Z, N9B, ____, G16D, what comes next?

(a) B25F
(b) B25E
(c) B25F
(d) B25D

Correct Answer: (c) B25F
The pattern in the series involves decreasing the first letter by four steps in the alphabet (V to R to N, etc.), multiplying the number by 4 each time (2 to 5 to 9, etc.), and increasing the last letter by one position. So the next sequence should be B25F.
\[ \text{If } L_1, N, L_2 \text{ are the first letter, number, and second letter respectively, then the pattern follows: } L_1 = L_1 – 4, N = N \times 4, L_2 = L_2 + 1 \]

(22) If the series is J2L, O6N, T12P, ____, Z20R, what should fill the blank?

(a) X16Q
(b) X16R
(c) X16S
(d) X17S

Correct Answer: (c) X16S
This series follows a pattern where the first letter increases by five positions in the alphabet (J to O to T, etc.), the number is doubled each time (2 to 6 to 12, etc.), and the last letter increases by one position. Therefore, the missing sequence is X16S.
\[ \text{With } L_1, N, L_2 \text{ as the first letter, number, and second letter respectively, the rule is: } L_1 = L_1 + 5, N = N \times 2, L_2 = L_2 + 1 \]

(23) In the series F3E, H7G, J12I, ____, N20K, what comes next?

(a) P30M
(b) L30M
(c) P30L
(d) L30L

Correct Answer: (b) L30M
The pattern in the series involves increasing the first letter by two steps in the alphabet (F to H to J, etc.), adding 5 to the number each time (3 to 7 to 12, etc.), and increasing the last letter by two positions. So the next sequence should be L30M.
\[ \text{If } L_1, N, L_2 \text{ are the first letter, number, and second letter respectively, then the pattern follows: } L_1 = L_1 + 2, N = N + 5, L_2 = L_2 + 2 \]

(24) If the series is R3U, M7Q, G14O, ____, A26K, what should fill the blank?

(a) C22M
(b) C22N
(c) C23M
(d) C23N

Correct Answer: (c) C23M
This series follows a pattern where the first letter decreases by four positions in the alphabet (R to M to G, etc.), adding 4 to the number each time (3 to 7 to 14, etc.), and decreasing the last letter by one position. Therefore, the missing sequence is C23M.
\[ \text{With } L_1, N, L_2 \text{ as the first letter, number, and second letter respectively, the rule is: } L_1 = L_1 – 4, N = N + 4, L_2 = L_2 – 1 \]

(25) In the series W2U, T6S, P12Q, ____, L20O, what comes next?

(a) H28N
(b) H26N
(c) H28M
(d) H26M

Correct Answer: (b) H26N
The pattern in the series involves decreasing the first letter by four steps in the alphabet (W to T to P, etc.), adding 4 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 H26N.
\[ \text{If } L_1, N, L_2 \text{ are the first letter, number, and second letter respectively, then the pattern follows: } L_1 = L_1 – 4, N = N + 4, L_2 = L_2 – 1 \]

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