Question

Twelve people, namely R,S,T,
U,V,W,F,G,H,I,J and K have exams in one of the months, viz March,April,May, August, September and December of the same year.In each month, the exam will be held on 12th and 27th with each person appearing on a different date.
1)U has an exam after August. If U’s exam in is a month having odd number of days,then this exam is also on an odd-numbered date.If his exam is in a month having even number of days, his exam is on an even-numbered date.
2)Only three people have exams between U and K.
3)H’s exam is on an odd-number date in a month having even number of days. H’s exam is after K.
4)Only three people have exams between R and W. R has his exam before W.R neither has his exam in March nor in April.R’s exam is not immediately before U.W’s exam is not in September.
5)As many people have an exam between R and U as between T and F. T’s exam is before F.T’s exam is on an even-numbered date.
6)Only two people have exam between F and S.V’s exam is before S but after J.
7)More than three people have exam between V and I.
Q1.Which of the following correctly represents the date and month on which F has his exam?
1)12th April 2)27th May 3)12th May 4) 27th December 5)NOT.

Answer 1

Twelve people, namely R,S,T, U,V,W,F,G,H,I,J and K have exams date and month  on 12th 0r 27th  Then  F has his exam -  12 Apr

Step-by-step explanation:

R,S,T, U,V,W,F,G,H,I,J and K have exams in one of the months, viz March,April,May, August, September and December of the same year.

12 th  & 27th

Even Days Month =  APRIL  & September

1.   U  -  12 Sep  or  27 Dec

2. Only three people have exams between U and K.

=>   K is 12 May  or 27 Aug

3. H’s exam is on an odd-number date in a month having even number of days. H’s exam is after K. => H = 27 Sep  

4.  R is on 12 - Aug  or 27 Aug  then W is 12 Dec or 27 Dec

if R is on 27 Aug then U can not be 12 Sep so U has to be 27 Dec

but then W has to be 27 Dec => R can not be 27 Aug

=> R is on 12 Aug   W is 12 Dec

As many people have an exam between R and U as between T and F

Two cases  1 between R & U   & 4 between R & U

Case 1 :

12 Mar   , 27  Mar  ,  12 Apr   27 Apr   12 May   27 May  

  T                -               -            -              -           F        

12 Aug   , 27 Aug    12 Sep     27 Sep   12 Dec   27 Dec

    R             K           S               H           W             U

J & V could be between T & F  and More than three people can not be between V & I  -

so this case not possible

case 2

12 Mar   , 27  Mar  ,  12 Apr   27 Apr   12 May   27 May  

  T                 J              F            V              K            S

12 Aug   , 27 Aug    12 Sep     27 Sep   12 Dec   27 Dec

    R             G           U               H           W            I

date and month on which F has his exam -  12 Apr