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.                                                     

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

If day before yesterday was Saturday, so today is Monday. Thus, tomorrow will be Tuesday and day after tomarrow will be Wednesday.

Clearly, the last bell rang 45 minutes before 7.45 am, i.e at 7.00 am. But it happened five minutes before the priest gave the information to the devotee. So, the information was given at 7.05 am

According to Nitin, Nidhi's birthday falls on Wednesday or Thursday    ---------(i)

According to Dheeraj , Nidhi's birthday falls on Thursday or Friday      ---------(ii)

From (i) and (ii), Nidhi's birthday falls on Thursday.

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

Answer : 5

Explanation : Given that, For each letter in the word (FLIES) there is a code written and also that code is denoted by either 1 , 2, 3, 4 or 5 

Apply the below code, It exactly matches the Given Condition

Letters at odd- numbered places shift three positions backward and letters at even-numbered places shift two positions forward as in English alphabet.

Here, Odd- Numbered Places F, I , S shift three positions backward in English Alphabet.

Even- Numbered Places L, E shift two positions forward in English Alphabet.

Therefore, exact code for the underline letter (F) is C.

So the Answer is 5.

For convenience , we assign numbers to each word :

allow  children  to  play  on  the  ground

   1         2      3    4      5    6       7

It has been coded as : 

play  allow  on  children  the  to  ground

  4       1     5        2       6    3      7

------------------------------------------------------------------------

Hence the given code is :

the  do  open  not  electric  touch  wires

 4     1      5     2       6         3       7

Now arranging them as 1 2 3 4 5 6 7, we have "do not touch the open electric wires'.

Hence, option (3) is correct answer.