Q. A circular plasmid of base pairs is digested with two restriction enzymes, and , to produce a and a bands when visualised on an agarose gel. When digested with one enzyme at a time, only one band is visible at . If the first site for enzyme is present at the base, the order in which the remaining sites and are present is

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Solution:

Lets have a look at the single enzyme digests first. The digest with enzyme and only leads to products which are away from each other. Since, they are of the same size, both equally sized restriction fragments appear as one band. So, each enzyme cuts the plasmid exactly in half. The double digest will form two products from it, with and . This means that enzyme cuts between the restriction sites for enzyme , resulting in these two fragments. See the sketch below
image
and are the cutting sites for enzyme and are the sites for enzyme . The numbers on the outside are the positions on the DNA sequence. You can see that a single digest leads to two fragments of and that both and both sites are located from each other.
is a t position has to be at position is located behind (and therefore at position ) and behind position (and therefore at position ). To get the same restriction pattern it is also possible that and are located behind their respective enzyme A position (so at and ) and you still get the same pattern of and on the gel.