Letter series

user December 8, 2023

(11) In the series Y2X, U5W, Q10V, ____, K20U, what comes next?

(a) G25T
(b) G25S
(c) H25S
(d) H25T

Correct Answer: (b) G25S
The pattern in the series involves decreasing the first letter by four steps in the alphabet (Y to U to Q, etc.), multiplying the number by 5 each time (2 to 5 to 10, etc.), and decreasing the last letter by one position. So the next sequence should be G25S.
\[ \text{If } L_1, N, L_2 \text{ are the first letter, number, and second letter respectively, then the pattern follows: } L_1 = L_1 – 4, N = N \times 5, L_2 = L_2 – 1 \]

(12) If the series is M1K, I4I, E9G, ____, A16E, what should fill the blank?

(a) C13C
(b) C12C
(c) B13D
(d) B12D

Correct Answer: (a) C13C
This series follows a pattern where the first letter decreases by four positions in the alphabet (M to I to E, etc.), the number is squared each time (1 to 4 to 9, etc.), and the last letter decreases by two positions. Therefore, the missing sequence is C13C.
\[ \text{With } L_1, N, L_2 \text{ as the first letter, number, and second letter respectively, the rule is: } L_1 = L_1 – 4, N = N^2, L_2 = L_2 – 2 \]

(13) In the series F3E, I7G, M12I, ____, U22K, what comes next?

(a) Y33M
(b) Y33L
(c) X33M
(d) X33L

Correct Answer: (b) Y33L
The pattern in the series involves increasing the first letter by three steps in the alphabet (F to I to M, etc.), adding 4 to the number each time (3 to 7 to 12, etc.), and alternating the last letter between increasing and decreasing by one step. So the next sequence should be Y33L.
\[ \text{If } L_1, N, L_2 \text{ are the first letter, number, and second letter respectively, then the pattern follows: } L_1 = L_1 + 3, N = N + 4, L_2 = L_2 + (-1)^N \]

(14) If the series is G3I, K6L, O10N, ____, U15P, what should fill the blank?

(a) S12M
(b) S11M
(c) T12M
(d) T11M

Correct Answer: (a) S12M
This series follows a pattern where the first letter increases by four positions in the alphabet (G to K to O, etc.), the number increases by 3 each time (3 to 6 to 10, etc.), and the last letter increases by one position. Therefore, the missing sequence is S12M.
\[ \text{With } L_1, N, L_2 \text{ as the first letter, number, and second letter respectively, the rule is: } L_1 = L_1 + 4, N = N + 3, L_2 = L_2 + 1 \]

(15) In the series P2R, L6T, H12V, ____, D20X, what comes next?

(a) A30Z
(b) A30Y
(c) B30Y
(d) B30Z

Correct Answer: (d) B30Z
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 doubled each time (2 to 6 to 12, etc.), and the last letter increases by two positions. So the next sequence should be B30Z.
\[ \text{With } L_1, N, L_2 \text{ as the first letter, number, and second letter respectively, the rule is: } L_1 = L_1 – 4, N = N \times 2, L_2 = L_2 + 2 \]

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