Question
How many tests are scheduled between tests of Q and
T? Study the following information carefully and answer the given questions: Some students of class X appears for a test of different IITs either on 1st Week or 3rd Week of different months – March, April, June and October. No two tests are of same subjects. P and S appears for the test of IIT Bangalore and IIT Chennai respectively. R appears for the test before V. Only 4 persons can appear between the ones who are appearing for IIT Meerut and IIT Kanpur. T appears for the test of IIT Guwahati on 1st Week in the month having 30 days. S does not appear in April. Only 2 persons appear between Q and S. Only one person who appears for the test of IIT Mumbai appears between R and W. Only 3 persons can appear between P and W,who appears for the test of IIT Pune. The one who appears on 3rd Week of March appears for test of IIT Meerut. Both Q and V appears on the same date. 3 persons can appear for the test between T and U. Q does not appear for IIT Meerut. One of the student appears for IIT Delhi.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). Â 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. 
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