What should come next in the series below?

45G54, 47J57, 50N61, 54S66, ?

59Y72

The correct answer is Option (3) → 59Y72

To find the next term in the series 45G54, 47J57, 50N61, 54S66, ?, we can break each term down into its three parts: the first number, the middle letter, and the last number.

1. The First Number (Prefix)

Analyze the sequence: 45, 47, 50, 54, ...

• $45 + 2 = 47$
• $47 + 3 = 50$
• $50 + 4 = 54$

The increment is increasing by 1 each time (+2, +3, +4). The next increment should be +5.

• $54 + 5 = \mathbf{59}$

2. The Middle Letter

Analyze the alphabetical positions of the letters:

• G (7th letter)
• J (10th letter): $7 + 3 = 10$
• N (14th letter): $10 + 4 = 14$
• S (19th letter): $14 + 5 = 19$

The increment is increasing by 1 each time (+3, +4, +5). The next increment should be +6.

• $19 + 6 = 25$. The 25th letter is Y.

3. The Second Number (Suffix)

Analyze the sequence: 54, 57, 61, 66, ...

• $54 + 3 = 57$
• $57 + 4 = 61$
• $61 + 5 = 66$

The increment is increasing by 1 each time (+3, +4, +5). The next increment should be +6.

• $66 + 6 = \mathbf{72}$

Conclusion:

Combining the parts: 59 + Y + 72 = 59Y72.

Final Answer:

The correct option is 59Y72.