Final answer:
The false statement is that the transposon coding sequence is sequestered to the enzyme active sites while transposon ends are protruding outside of the dimer. Instead, the enzyme transposase brings the ends together during the cut step and before insertion into new DNA.
Step-by-step explanation:
The false statement among the provided options is a) Transposon coding sequence is sequestered to the enzyme active sites while transposon ends are protruding outside of the dimer. In reality, the transposase enzyme brings the transposon ends together during the cut step, including the period when the transposon is excised and before it is inserted at a new DNA site.
The correct statements are: b) Each subunit has an active site that creates ds cut at the end of the transposon and then a staggered cut at the target site; this is part of the transposition process. c) Tn5 and Tn10 act as dimers and this is crucial for their function in transposition. Lastly, d) The geometry of the dimer determines the length of the offset in the cut (stagger). This stagger is important for the DNA repair mechanisms to create direct repeats at the insertion site.