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Select the letter that can replace the q...

Select the letter that can replace the question mark (?) in the following series.
F, I, K, N, P, S, U, ?

A

Q

B

P

C

S

D

X

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we need to identify the pattern in the given series of letters: F, I, K, N, P, S, U, ?. ### Step-by-Step Solution: 1. **Identify the Series**: The series is F, I, K, N, P, S, U. 2. **Determine the Position of Each Letter**: - F is the 6th letter of the alphabet. - I is the 9th letter of the alphabet. - K is the 11th letter of the alphabet. - N is the 14th letter of the alphabet. - P is the 16th letter of the alphabet. - S is the 19th letter of the alphabet. - U is the 21st letter of the alphabet. 3. **Calculate the Differences**: - From F (6) to I (9): +3 - From I (9) to K (11): +2 - From K (11) to N (14): +3 - From N (14) to P (16): +2 - From P (16) to S (19): +3 - From S (19) to U (21): +2 4. **Identify the Pattern**: The pattern alternates between adding 3 and adding 2: - +3, +2, +3, +2, +3, +2 5. **Apply the Pattern to U**: - Since the last operation was +2 (from S to U), the next operation should be +3. - U (21) + 3 = 24. 6. **Find the Corresponding Letter**: - The 24th letter of the alphabet is X. Thus, the letter that can replace the question mark (?) in the series is **X**. ### Final Answer: X
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