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Thirty percent of the bases in a sample ...

Thirty percent of the bases in a sample of DNA extracted from eukaryotic cells is adenine. What percentage of cytosine is present in this DNA?

A

`10%`

B

`20%`

C

`30%`

D

`40%`

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The correct Answer is:
To solve the problem, we will use Chargaff's rules, which state that in a double-stranded DNA molecule, the amount of adenine (A) is equal to thymine (T), and the amount of cytosine (C) is equal to guanine (G). ### Step-by-Step Solution: 1. **Identify the percentage of adenine (A)**: - We are given that 30% of the bases in the DNA sample is adenine (A). 2. **Apply Chargaff's rule for thymine (T)**: - According to Chargaff's rule, the percentage of thymine (T) is equal to the percentage of adenine (A). Therefore, if A = 30%, then T = 30% as well. 3. **Calculate the total percentage of adenine and thymine**: - Total percentage of A and T = A + T = 30% + 30% = 60%. 4. **Determine the remaining percentage for cytosine (C) and guanine (G)**: - Since the total percentage of all bases must equal 100%, we can find the combined percentage of cytosine (C) and guanine (G): - C + G = 100% - (A + T) = 100% - 60% = 40%. 5. **Apply Chargaff's rule for cytosine (C) and guanine (G)**: - According to Chargaff's rule, the percentage of cytosine (C) is equal to the percentage of guanine (G). Therefore, we can express this as: - C = G. 6. **Set up the equation for C and G**: - Since C + G = 40% and C = G, we can substitute G with C: - C + C = 40%, - 2C = 40%. 7. **Solve for cytosine (C)**: - Dividing both sides by 2 gives: - C = 40% / 2 = 20%. 8. **Conclusion**: - Therefore, the percentage of cytosine (C) present in the DNA is 20%. ### Final Answer: The percentage of cytosine in the DNA is **20%**.
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