Letter series

user December 8, 2023

(31) In the series K2M, P7O, U14Q, ____, E28S, what comes next?

(a) Y42U
(b) Y42T
(c) Y42S
(d) Y41S

Correct Answer: (c) Y42S
The pattern in the series involves increasing the first letter by five steps in the alphabet (K to P to U, etc.), adding 7 to the number each time (2 to 7 to 14, etc.), and increasing the last letter by two positions. So the next sequence should be Y42S.
\[ \text{If } L_1, N, L_2 \text{ are the first letter, number, and second letter respectively, then the pattern follows: } L_1 = L_1 + 5, N = N + 7, L_2 = L_2 + 2 \]

(32) 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.
\[ \text{With } L_1, N, L_2 \text{ as the first letter, number, and second letter respectively, the rule is: } L_1 = L_1 + 4, N = N \times 2, L_2 = L_2 + 1 \]

(33) In the series H2J, M5L, R10N, ____, Y20P, what comes next?

(a) D15R
(b) D15Q
(c) E15R
(d) E15Q

Correct Answer: (a) D15R
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 D15R.
\[ \text{With } L_1, N, L_2 \text{ as the first letter, number, and second letter respectively, the rule is: } L_1 = L_1 + 5, N = N \times 2, L_2 = L_2 + 2 \]

(34) If the series is S3Q, O7N, L12K, ____, G22H, what comes next?

(a) C32F
(b) C33F
(c) D32F
(d) D33F

Correct Answer: (a) C32F
This series follows a pattern where the first letter decreases by four positions in the alphabet (S to O to L, etc.), adding 5 to the number each time (3 to 7 to 12, etc.), and decreasing the last letter by one position. So the next sequence should be C32F.
\[ \text{If } L_1, N, L_2 \text{ are the first letter, number, and second letter respectively, then the pattern follows: } L_1 = L_1 – 4, N = N + 5, L_2 = L_2 – 1 \]

(35) 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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