Solution:

Muz is the required code word.

In the statements (1), (2) and (3), common coded word is 'Stew' and common normal word is 'are'. Therefore, 'Stew' = 'are'.
k
In the statements (1) and (4), common coded word (except 'are') is 'Choi' and common normal word is 'Spirits'. Therefore, 'Choi' = 'Spirits'.

Likewise, in the statements (2), (3) and (4), common coded word is 'Fru' and common normal word is 'Sinister'. So, 'Fru' = 'Sinister'.

Hence, 'Choi', 'Stew', 'Fru' means 'Spirits', 'are', 'Sinister' respectively. Thus, in statement (4), the remaining word i.e., 'Muz' = 'the'.

Solution:

Selfie
Explanation:
: Selfie = is six letter word
: Self = The first four letter is me.
: e = The second and last letter are the same.
: fee = The fourth second and last letter are payment.

Solution:

It can be solve as shown below.

Solution:

3,3,8

Lets break it down. The product of their ages is 72. So what are the possible choices?

2, 2, 18 sum(2, 2, 18) = 22
2, 4, 9 sum(2, 4, 9) = 15
2, 6, 6 sum(2, 6, 6) = 14
2, 3, 12 sum(2, 3, 12) = 17
3, 4, 6 sum(3, 4, 6) = 13
3, 3, 8 sum(3, 3, 8 ) = 14
1, 8, 9 sum(1,8,9) = 18
1, 3, 24 sum(1, 3, 24) = 28
1, 4, 18 sum(1, 4, 18) = 23
1, 2, 36 sum(1, 2, 36) = 39
1, 6, 12 sum(1, 6, 12) = 19

The sum of their ages is the same as your birth date. That could be anything from 1 to 31 but the fact that Torres was unable to find out the ages, it means there are two or more combinations with the same sum. From the choices above, only two of them are possible now.

2, 6, 6 sum(2, 6, 6) = 14
3, 3, 8 sum(3, 3, 8 ) = 14

Since the eldest kid is taking piano lessons, we can eliminate combination 1 since there are two eldest ones. The answer is 3, 3 and 8.

Solution:

2 minutes (duration between 9:59 and 10:01)

Solution:

Align the toothpicks to form TEN. Use one toothpick for each of the lines.

Solution:

Upon reaching each room, he found out that the window facing the dead body was closed. He had to open the window himself. This tells that there was somebody else with him who closed the window. If he would have committed suicide, at least one window would have been open.

Solution:

If you notice the animated gif, you know that D, C and B are going to die. D dies directly after coming in contact with the object, C dies after being thrust by the spikes of the see-saw and B dies with the blue ball.

But consider the situation that the person at E stands for Ebola. Eventually A dies as well.

We thank 9gags for this awesome gif.

Solution:

The Lady sitting in the chair has the detector attached to the back of her blouse.

Solution:

Blue could only be wearing white or red and we know that there is already someone else wearing the white shirt so Mr. Blue could only be wearing the red shirt.

Mr. White could have only been wearing a blue or a red shirt, and red is already taken, so Mr. White is wearing a blue shirt.

Mr. Red now has to be wearing a white shirt.

Solution:

White should move the rook from
A1 to D1 and hence complete the castling move.