Solution:

Let us denote the chocolates with p, q and r.
We can frame the following two equations now
p + q + r = 100 ------ (1)
5p + 3q + 0.5r = 100
or 10p + 6q + r = 200 ---- (2)

Now, 2*[(Eq. 2) - (Eq.1)]
9p + 5q = 100
from this equation'p' should be a multiple of 5
for p = 5 ; q = 11
for p = 10 ; q = 2
for p = 15 or more q becomes -ve

Therefore, the two possible answers are
p = 5, q = 11, r = 84
p = 10, q = 2, r = 88

Solution:

Bond was suspicious of the women as one never knocks its own door at the hotel.

Solution:

45 minutes

Explanation :
All you have to do is burn the first rope from both the ends and the second rope from one end only simultaneously. The first rope will burn in 30 minutes (half of an hour since we burned from both sides) while the other rope would have burnt half. At this moment, light the second rope from the other end as well. Where, the second rope would have taken half an hour more to burn completely, it will take just 15 minutes as we have lit it from the other end too.

Thus you have successfully calculated 30+15 = 45 minutes with the help of the two given ropes.

Solution:

You better switch!

Your first choice has a 1/3 chance of having the car, and that does not change.<br>The other two doors HAD a combined chance of 2/3, but now a Goat has ben revealed behind one, all the 2/3 chance is with the other door.

Solution:

20
Just count the nines in the numbers: 6, 16, 26, 36, 46, 56, 76, 86, 96, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69.
Note: 66 contains TWO nines

Solution:

2100 miles.

Each vowel equivalent to 500 and each consonant equivalent to -200

Solution:

The wise man told them to switch the horses and then race. In this manner, both of them will be willing to race as fast as they can to prove that the other horse (his own horse) is slow.

Solution:

To do this, he must be pushing the cork inside the bottle and then taking out the coin.

Solution:

For this answer is 3^0, 3^1, 3^2... That is 1,3,9,27,81,243 and 729.

Solution:

Solution is below

Solution:

The figure tells that B is located to the North-East of E.