Job Roles

We have to find out even number - even number - odd number sequence.

 8 5 8 6 7 6 8 9 3 2 7 5 3 4 2 2 3 5 5 2 2 8 1 1 9 3 1 7 5 1

 There are four such such even numbers: 6,8,2 and 8.

Here the series is:

987654321, 87654321, 7654321, 65...

Three persons A, B, C can be arranged in a queue in six different ways, ie ABC, CBA, BAC, CAB, BCA, ACB. But since there are only 3 persons ahead of C, so C should be in front of the queue. Thus, there are only two possible arrangements, ie CBA and CAB.

We may consider the two cases as under:

Case I:  ←3C↔8B↔5A→21

Clearly, number of persons in the queue = (3+1+8+1+5+1+21=) 40

Case II:  ←3C A↔5B

Number of persons between A and C                  

= (8 - 6) = 2   

∵[C↔8B A→21B]

Clearly number of persons in the queue = (3+1+2+1+21) = 28

Now, 28 < 40. So, 28 is the minimum number of persons in the queue.                                                     

W = 10th from the left

R = 4th from the right = (30 - 4 + 1= ) 27th from left

 No of boys between R and W = (27 - 10) - 1 = 16

M is 8th from the top.

H is (50 - 20 + 1 =) 31 st from the top.

  Number of students between M and H = (31 - 8- 1=)22

No. of boys up to the 34th rank = 34-18 = 16

 Total no of boys = 180x1/2+1 = 60

 number of boys after the rank of Rupesh = 60 - 16 = 44

Total days from 25th June to 15th August = 5 + 31 + 15 = 51 days

51/7  = 7 weeks and 2 days 

August 15 = Wednesday + 2 = Friday

Dates on which Tuesday fall are 3,10,17, and 24

Hence, the 27th day of the month will be (Tuesday + 3 days=)Friday

Required day of the month = Friday - 4 = Monday