Solution:

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

Solution:

301

= Explanation =
Time1 : When there are two pirates, 301/2 => remainder 1
Time2 : When there are three pirates, 301/3 => remainder 1
Time3 : When there are three pirates, 301/4 => remainder 1
Time4 : When there are three pirates, 301/5 => remainder 1
Time5 : When there are three pirates, 301/6 => remainder 1
Time6 : When there are three pirates, 301/7 => remainder 0

Solution:

89

Solution:

The answer is very interesting funny but true.
More than 90% of the population is right-handed Since most men's are right handed and they always prefer to dress by own, Therefore if buttons are on the right side they can fasten the button easily.
There is very interesting fact why ladies button on the left-hand side.
When shirts with the button were introduced, it can be afforded only by wealthy men's. These wealth men's wife mostly have maids to dress them up. They dress them by facing the wives and hence its easier for maids to dress the wives if buttons are on the left.

Solution:

Can be done smartly as shown below.

Solution:

3012

Explanation:
A)
Five Commando alloted 5 room each, Number of rooms = 5 * 5 = 25

Number of huge Tiger = 25 * 5 = 125
Number of small Tigers = 125 * 5 = 625
Total tigers = 625 + 125 = 750

Number of legs of tigers = 750 * 4 = 3000 ..............................(1)

B)
There are 5 soldiers =>
Number of legs of soldiers = 5*2 = 10 .......................(2)

C)
Your leg = 2 ............(3)

Summing all , 3000 + 10 + 2 = 3012

Solution:

Solution is done below.

(0! + 0! + 0! )! =6
(1! + 1! + 1! )! =6
2 + 2 + 2 = 6
3 * 3 - 3 = 6
4 + 4 -sqrt(4) = 6
5 + 5 / 5 = 6
6 + 6 - 6 = 6
7 - 7 / 7 =6
8 - sqrt(sqrt(8+8) = 6
(9 + 9) / sqrt(9) = 6

Solution:

I have three theories based on which it can be either Murder, Suicide, or Accident.

Case1 : Its a Murder
Reason1: If it's suicide then a person must have waited for the Cigarette to end.
Reason2: Blood is spattered on the right side and the pistol is also on the right side. which seems pistol is planted at the end.

Case2 : Its a Suicide
Reason1. The lamp was switched off and glasses were removed which indicates she done writing(probably suicide note). The murderer does not care about switching off glasses or removing glasses.
Reason2: The blood was just on the wall at the height of a person. If it's a murder the blood must have been scattering around.
Reason3: Burning cigarette and alcohol indicated depression level which often is the reason for suicide.

Case3 : Its a Accident
It's must be an accident. The girl was writing using the pen and suddenly she heard a sound. She must have a gun for safety which she takes out of the security. As a preventive measure, she switched off the light so that she can't be seen in the dark. Also removed the glasses as they are of no use in the dark. After a while, she realized that it's just a sound. So to calm her down she drinks and also lights a cigarette. suddenly she slipped and try to hold stool but failed and forced her head into the wall and died.

Solution:

"EUNOIA" is the shortest(length-6) word that comprises of all vowels.
But many dictionaries does no include this word.

So next comes many seven letter words that contain all vowels.
* SEQUOIA,
* EULOGIA,
* MIAOUED,
* ADOULIE,
* EUDOSIA,
* EUNOMIA
* EUTOPIA
* MOINEAU
* DOULEIA.

EUNOIA means "alertness of brain"

Solution:

454585

Explanation:
Number is formed as (numA*numB)(numB*numC)(numC*numA)
Following the formular, 1st row will be like
5+3+2 => 5*3 3*2 2*5 => 151022
Simillarly
(9*5)(9*5)(9*5+9*5-5) => 454585