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Which of the following is most likely the next step in the series?

10A, 21b, 32C, 43d, 54E, 65f

A. 66 g
B. 7 fg
C. 765
D. 76 g
E. 66 G
F. 76 G

Answer :

We begin by examining the numerical part of the series. The numbers in the series are:

$$10,\; 21,\; 32,\; 43,\; 54,\; 65.$$

Notice that each term increases by 11:

$$21 - 10 = 11, \quad 32 - 21 = 11, \quad \text{and so on.}$$

Thus, the next number is calculated as:

$$65 + 11 = 76.$$

Next, let’s analyze the letter sequence:

$$A,\; b,\; C,\; d,\; E,\; f.$$

A pattern is evident where the letters alternate in case:
- The 1st, 3rd, and 5th letters are uppercase.
- The 2nd, 4th, and 6th letters are lowercase.

This indicates that the 7th letter should be in uppercase. In the alphabet, the 7th letter is:

$$A, \; B, \; C, \; D, \; E, \; F, \; G.$$

Thus, the letter for the 7th term is $G$.

Finally, combining the next number and the letter, the next term in the series is:

$$76G.$$

Among the given options, the correct answer is **76 G**.

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