Letter series

user December 8, 2023

(16) In the series E2G, I5J, M9K, ____, U17L, what comes next?

(a) Q13M
(b) Q14M
(c) Q13L
(d) Q14L

Correct Answer: (c) Q13L
The pattern in the series involves increasing the first letter by four steps in the alphabet (E to I to M, etc.), adding 3 to the number each time (2 to 5 to 9, etc.), and increasing the last letter by one position. So the next sequence should be Q13L.
\[ \text{If } L_1, N, L_2 \text{ are the first letter, number, and second letter respectively, then the pattern follows: } L_1 = L_1 + 4, N = N + 3, L_2 = L_2 + 1 \]

(17) If the series is B2D, F6F, J12H, ____, P20J, what should fill the blank?

(a) N16I
(b) N16H
(c) N16G
(d) O16G

Correct Answer: (c) N16G
This series follows a pattern where the first letter increases by four positions in the alphabet (B to F to J, etc.), the number is multiplied by 3 each time (2 to 6 to 12, etc.), and the last letter increases by two positions. Therefore, the missing sequence is N16G.
\[ \text{With } L_1, N, L_2 \text{ as the first letter, number, and second letter respectively, the rule is: } L_1 = L_1 + 4, N = N \times 3, L_2 = L_2 + 2 \]

(18) In the series S3R, O7P, L12O, ____, G22N, what comes next?

(a) C32M
(b) C31M
(c) C32N
(d) C31N

Correct Answer: (c) C32N
The pattern in the series involves decreasing the first letter by four steps in the alphabet (S to O to L, etc.), adding 5 to the number each time (3 to 7 to 12, etc.), and increasing the last letter by one position. So the next sequence should be C32N.
\[ \text{If } L_1, N, L_2 \text{ are the first letter, number, and second letter respectively, then the pattern follows: } L_1 = L_1 – 4, N = N + 5, L_2 = L_2 + 1 \]

(19) If the series is H2J, M5L, R10N, ____, Y20P, what should fill the blank?

(a) D15P
(b) D15O
(c) E15P
(d) E15O

Correct Answer: (a) D15P
This series follows a pattern where the first letter increases by five positions in the alphabet (H to M to R, etc.), the number is multiplied by 2 each time (2 to 5 to 10, etc.), and the last letter increases by two positions. Therefore, the missing sequence is D15P.
\[ \text{With } L_1, N, L_2 \text{ as the first letter, number, and second letter respectively, the rule is: } L_1 = L_1 + 5, N = N \times 2, L_2 = L_2 + 2 \]

(20) 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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