If it is possible to make a number which is perfect square of a two-digit odd number with the second, the sixth and ninth digits of the number 187642539. which of the following is the digit in the unit's place of that two-digit odd number?

Four times 3 present together with 2 and 7, where 2 and 7 present either side of 3.
1 1 1 1 3 3 2 2 [2 3 7] 7 3 3 3 6 6 4 [7 3 2] 4 9 8 7 [7 3 2] 3 3 3 4 4 [2 3 7]

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

Given that :- 1st March is Saturday.
Other Saturdays in March = 8, 15, 22, 29
Therefore, 1st April = Saturday + 3 days = Tuesday

Given that :- Today is Wednesday + 2 days = Friday
Therefore, Day after tomorrow will be Sunday.

Clearly, Nine days ago, it was Thursday.
? Thursday + 2 days = Saturday
Hence required answer is Saturday .

Let us assume the number of boys in school be B.
Then number of girls in school = 2B
According to question,
B + 2B = 180
3B = 180
B = 180/3 = 60
Number of boys = 60
Number of girls = 120
Rupesh (a boy) ranked 34^th from top and 18 girls are ahead of Rupesh.
Number of boys after the rank of Rupesh = 60 ? 16 = 44

According to question,
Fifteen children are standing in a row facing north.
Left Side Position 1st, 2nd, 3rd, 4th, 5th, 6th, 7th, 8th, 9th, 10th, 11th, 12th, 13th, 14th, 15th Right Side position
Ravi is is eighth from the left end.
Left Side Position 1st, 2nd, 3rd, 4th, 5th, 6th, 7th, 8th, 9th, 10th, 11th, 12th, 13th, 14th, 15th Right Side position
......................................................................................Ravi
Ravi is to the immediate left of Prabha.
Left Side Position 1st, 2nd, 3rd, 4th, 5th, 6th, 7th, 8th, 9th, ........10th, 11th, 12th, 13th, 14th, 15th Right Side position
......................................................................................Ravi, Prabha
Arjun is second from the right end.
Left Side Position 1st, 2nd, 3rd, 4th, 5th, 6th, 7th, 8th, 9th, ........10th, 11th, 12th, 13th, 14th, 15th Right Side position
......................................................................................Ravi, Prabha........................................Arjun

8th, 9th, 14th
Ravi Prabha Arjun

According to the question,
Rajnish is older than Rajesh and Raman.
Rajnish > Rajesh, Raman..........(i)
Ramesh is older than Rajesh but younger than Rajeev.
Rajeev > Ramesh > Rajesh........(ii)
Raman is older than Rajeev.
Raman >Rajeev.......................(iii)
Combining all, we get
Rajinish > Raman > Rajeev > Ramesh > Rajesh

According to question,
If the positions of the first and the fifth digits of the number 83721569 are interchanged.
After interchange the new number = 13728569
similarly, the positions of the second and the sixth digits are interchanged.
Again after interchange the new number = 15728369

New arrangement of numbers is as follows: 15728369
Hence, third number from right end is 3.

According to question,
In a row of boys Akash is fifth from the left
Left 1 - 2 - 3 - 4 - Akash - 6 - 7 - 8 - 9 - 10 - 11 - 12 .................................................................................................................. Right
If Akash is twenty-fifth from the right then
Left 1 - 2 - 3 - 4 - Akash - 6 - 7 - 8 - 9 - 10 - 11 - 12 - 13 -14 - 15 -16 -17 -18 -19 - 20- 21- 22 - 23- 24- 25 -26 -27 -28 - 29 Right
Nikhil is eleventh from the right.
Left 1 - 2-3 -4 - Akash - 6 -7- 8- 9-10 -11-12- 13-14- 15 -16-17-18 - Nikhil -20-21-22 - 23 - 24 - 25-26 -27- 28- 29 Right

There are (25 ? 11? 1) = 13 boys between Akash and Nikhil.