V appears for the test

Solution

The one who appears on 3rd Week March appears for test of IIT Meerut. T appears for the test of IIT Guwahati on 1st Week in the month having 30 days. (so, we get 2 possible cases here T appears in either April or June). Case-1 CASE-2 Only 4 persons can appear between the ones who are appearing for IIT Meerut and IIT Kanpur. 3 persons can appear for the test between T and U. Only 2 persons appear between Q and S. And S does not appear in April. (so, we get 2 possible sub cases for case 1).  S appears for IIT Chennai. Case-1a  only 1 person appears for test of IIT Mumbai between R and W. (therefore, Case 1(a) and Case 1(b) gets eliminated as it does not satisfy the condition). W appears for the test of IIT Pune Only 3 persons appears between T and U Both Q and V appears on p same date. P appears for test of IIT Bangalore. One of the student appears for IIT Delhi.