On a planet from a distant galaxy, the pilot vehicle collected a sample of bacteria-like material. On analysis, it showed proteins having 30 types of amino acids while the DNA has 6 types of bases. In the genetic code, a sequence of how many bases should be serving as a codon?

Options

A. 2
B. 3
C. 4
D. 5

Answer

To solve the question regarding the genetic code on a distant planet, we need to determine how many bases should be serving as a codon given that there are 6 types of bases and 30 types of amino acids.

### Step-by-Step Solution:

1. **Understanding Codons**: In our known genetic code, a codon is typically made up of three nucleotide bases. Each codon corresponds to a specific amino acid during protein synthesis.

2. **Identifying the Variables**:
- We have 6 types of bases (let's denote them as A, B, C, D, E, F).
- We need to code for 30 different amino acids.

3. **Calculating Codon Combinations**:
- If we denote the number of bases in a codon as 'n', then the total number of possible codons can be calculated using the formula:
\[ \text{Total Codons} = (\text{Number of Bases})^n \]
- For our case, if we have 'n' bases in a codon and 6 types of bases, the total number of codons would be:
\[ 6^n \]

4. **Setting Up the Inequality**:
- We need at least 30 different codons to code for 30 amino acids. Thus, we set up the inequality:
\[ 6^n \geq 30 \]

5. **Testing Values of n**:
- **If n = 1**:
\[ 6^1 = 6 \quad (\text{not sufficient}) \]
- **If n = 2**:
\[ 6^2 = 36 \quad (\text{sufficient}) \]
- **If n = 3**:
\[ 6^3 = 216 \quad (\text{more than sufficient}) \]

6. **Conclusion**: The minimum number of bases needed in a codon to code for at least 30 amino acids is 2, since \(6^2 = 36\) is sufficient to cover the 30 amino acids.

### Final Answer:
The sequence of bases serving as a codon should consist of **2 bases**.

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