Following the same logic, crack this mathematical puzzle ?

 

From the hints,

Only two options for 1st and 2nd digits => 4,2 and 9,3 since it is single digits

Sum of second and third digit  = 10 

If 2 => 3rd digit = 8

If 3 => 3rd digit = 7

4th digit = 2nd digit + 1 => (2+1 =3) or (3+1 = 4)

Sum of all digits = 30

Let 5th digit be x

=> 1st possibility = 4 + 2 + 8 + 3 + x = 30 => x = 13 (Not possible since it has 2 digits)

=> 2nd possibility = 9 + 3 + 7 + 4 + x = 30 => x = 7

Therefore, the PIN is 93747 

Logic is

1st fig : 9x2 + 5 = 23

2nd fig : 6x3 + 4 = 22

3rd fig : Nx4 + 5 = 9 => N = 1.

Given two trains of length = 180 mts + 180 mts 

The distance is = Length of trains = 360 mts 

Speed = 58 - 50 = 8 kmph x 5/18 m/s

Then, Time = dis/speed = (360x18) / (8x5) = 162 sec.

Bill.

From the detectives code 0415 7140 7718

Each 4 digits may represent one name

Here 7718 mirror image represent BILL.

Sum of numbers in all individual boxes must be equal.

Here sum must be equal to 30.

=> x + 14 + 9 + 2 = 30 => x = 5. 

Sum of numbers in the outer circle in before Arc should come in inner circle patterns in the clock wise direction next Arc.

i.e, 9+6 = 15 comes in next arc of inner circle

7+3 = 10 comes in next arc of inner circle

In the same way, 4+2 = 6 comes in place of '?'.

The logic in the challenge is

 81x6 = 9x6 = 54

144x7=84

Similarly, 64x8 = 8x8 = 64.

From the given conditions ,

only A = 27 yrs satisfies.