Solution:

2nd Feb

Explanation:
a.b X a/b = 1
2.5 x 2/5
= 5/5
= 1

Solution:

One of 57620 or 57628 must be the secret code.

Explanation:
Hint-1: 79314
Only 7 is there and in wrong

Hint-2: 95643
6 is in the right position while 5 is not

Hint-3: 57319
5 and 7 are in the right position

Sum Hint: A + B + C + D + E = D*10 + E
CaseA - 57620
5 + 7 + 6 + 2 + 0 = 2 * 10 + 0
20 = 20

CaseB - 57628
5 + 7 + 6 + 2 + 8 = 2 * 10 + 8
28 = 28

Solution:

7 Trips

Explanation:
Send 2+5+9 = 16
Bring back 9
Send 3+4+9 = 16
Bring back 9
Send 1+7+8 = 16
Bring back 1
Send 1+6+9 = 16

Solution:

47.

Explanation:
Aarav is 6 years old and his sister Arshika is half of his age, which indicates Arshika age is 3 years less than Aarav's age. So when Aarav is 50, Arshika will be 47

Solution:

East

Explanation:
- Right Turn => North Direction
- About Turn => south Direction
- Left Turn => East Direction

Solution:

The man with the cast

Explanation:
Reason-1: The blood strain is on the left side of the dead man which means the killer is most likely a left-handed. The cashier and man with the cashier are both right-handed.

Reason-2: Why will a man with the cast go for buying shirts/coat? Seems suspicious.

Reason-3: The man with the cast must be carrying the weapon inside the cast.

Solution:

A

Explanation:
On Picture B and C, the boy is holding the man while in picture A the man is holding the boy.

Solution:

Sheldon filled a Mug with water and held it over his head for 10 minutes.

Solution:

The cowboy can fit the horses as shown below.

[T] [E] [N] [H] [O] [R] [S] [E] [S]

Solution:

Pour 3 lumps on cup-1 and cup-3 and 4lumps on cup4 and place them as shown in the picture.

Explanation:
Now,
Cup-1 got three sugar lumps
Cup-3 got three sugar lumps
Cup-2 got three seven lumps (3 of cup-1 and 4 of its own)