Question

What would come in the place of ? in the following series? 3F, 6G, 11L, 18L, ?

• A. 21 Q
• B. 25 N
• C. 27 Q
• D. 27 P

Hint:

When dealing with number-letter series, look for a consistent pattern in both the numbers and letters.

Answer 1

The Correct Option is D

To solve the problem, let's analyze the given series: 3F, 6G, 11L, 18L, ?. We have two main components in each term of the series: a number and a letter. We'll examine both components separately.

Number Series:

1. Look at the sequence of numbers: 3, 6, 11, 18.

2. Identify the difference between each consecutive number:

• 6 - 3 = 3
• 11 - 6 = 5
• 18 - 11 = 7

3. The differences 3, 5, and 7 form an arithmetic sequence with a common difference of 2.

4. The next difference should be 9 (7 + 2).

5. Add this difference to the last number in the series: 18 + 9 = 27.

Letter Series:

1. Look at the sequence of letters: F, G, L, L.

2. Convert each letter to their respective positions in the English alphabet:

• F = 6
• G = 7
• L = 12
• L = 12

3. Observe the pattern: First two letters increase by 1 (F to G), then it jumps to L but remains constant at 12.

4. Following this pattern, it seems we need a change after repeating.

5. So, we predict the next letter would be P at position 16 (12 + 4).

Therefore, the next term in the series is 27P.

The correct answer is 27 P.