Phosphorylation of glucose during glycolysis is catalysed by

1.  phosphoglucomutase

2.  phosphoglucoisomerase

3.  hexokinase

4.  phosphorylase

 

 
(c) Hexokinase catalyses the conversion of glucose into glucose 6-phosphate by the use of ATP molecule in phosphorylation reaction.
 
The other options are incorrect because
 
Phosphoglucomutase is an enzyme that transfers a phosphate group in D-glucose monomer from 1-to 6 position of carbon in forward direction (changes glucose 1-phosphate to glucose-6 phosphate).
 
Phosphoglucoisomerase catalyses conversion of glucose 6 phosphate to fructose 6 phosphate.
 
Phosphorylase is an enzyme which catalyses the addition of phosphate PO4- group from inorganic phosphate to an acceptor.
Page 229, XI NCERT