To solve this problem, let's begin by understanding the basic definitions of terms involved:
- Haploid number (n): This is the number of chromosomes in a gamete, representing a single set inherited from either parent.
- Basic number (X): This refers to the number of distinct chromosomes in a single complete set.
- Hexaploid: An organism with six complete sets of chromosomes.
In tetraploid organisms, the relationship between the ploidy level and the chromosome numbers is:
\text{Ploidy level} = \text{Multiple of } X = 6X (because it's hexaploid)
From this, we can infer:
- The haploid number n, which is half of the total chromosome number, is used in gametes. In hexaploid wheat, the haploid number is given as n = 21.
- The basic number of chromosomes X for hexaploid wheat is the number of sets (which is 6X = total chromosomes) divided by 6.
Given the options, for hexaploid wheat:
- Total chromosome number = 6X = 42 for hexaploid wheat
- Therefore, X = 42 / 6 = 7
- Thus, n = 21 and X = 7
The correct answer is n = 21 and x = 7.
Let's rule out the other options using this reasoning:
- n = 21 and x = 21: This would mean 6X = 126, which is incorrect for hexaploid wheat.
- n = 21 and x = 14: This implies 6X = 84, which is also incorrect.
- n = 1 and x = 21: This is incorrect as the given haploid number isn't 1.