Solution:

In Mansion M2, we know that older child is boy, therefore there are two cases
Older Younger
Boy Girl
Boy Boy
Probability of at least one girl child: 1/2 => 50%

In Mansion M1 there are three cases
Older Younger
Boy Girl
Boy Boy
Girl Boy
Probability of at least one girl child: 2/3 => 66.67%

Solution:

Wednesday

Explanation :
There is two way to interpret this.
A) If x + 1 ==> x - 1
Then
x ==> x - 2
x - 2 = Friday
x = Sunday

B)If x - 1 ==> x + 1
Then
x ==> x + 2
x + 2 = Friday
x = Wednesday

Option B) makes sense and hence the answer.

Solution:

Federer serves first

Explanation:
The one who serves first can serve 5 and other will serve four.

== Option A ==
If Federer serve 4 and Nadal serve 5
Then five service breaks and Federer winning 6:3 not possible.

== Option B ==
Federer serve 5 and Nadal serve 4
There are five service breaks and score is Federer 6 - Nadal 3
i.e
On Federer serve, Federer wins 3 and lost 2
On Nadal serve, Federer wins 3 and lost 1

Solution:

It can be solved as shown.

Solution:

The code is 645
Explanation :
A) From Clues 1st and 2nd we know that one 9 is not in the code
B) From Clue 2nd we know that 9 3 and 8 are part of code
C) From Clue 3rd we know that 4 and 6 are part of code
D) From Clue 5th we know that 1 and 2 are not part of the code as we know 6 is part of the code and just 1 of 3 numbers is part of code.
E) From Clue 4th we know that 5 is also in the code as 8 and 1 are not part of code.

So the code is: 645

Solution:

They are all anagrams of time-related words.

1. CHARM: MARCH
2. DYNAMO: MONDAY
3. YAM: MAY
4. REAY: YEAR
5. EAR: ERA
6. ONE: EON
7. TOADY: TODAY

Solution:

Step1 : Mr.Hinx and Supermodel1, Mr.Hinx back
Step2 : Mr.Hinx and Supermodel2, Mr.Hinx back
Step3 : Blofeld and JamesBond, Blofeld back
Step4 : Mr.Hinx and Secret Diary, Mr.Hinx back
Step5 : Mr.Hinx and Blofeld, Mr.Hinx back
Step6 : Mr.Hinx and secretary1, Mr.Hinx back
Step7 : Mr.Hinx and secretary2

Solution:

The chocolates in the boxes will be as follows:
Box 1 = 1
Box 2 = 2
Box 3 = 4
Box 4 = 8
Box 5 = 16
Box 6 = 32
Box 7 = 64
Box 8 = 128
Box 9 = 256

Here we have taken a geometric progression to facilitate any number of chocolates demanded. In the last box, we will place the number of chocolates left:

Box 10 = 489

If you try now, you will be able to do what is asked.

Solution:

First stack of cards = 11
Second stack of cards = 7
Third stack of cards = 6

First move:
First stack of cards = 11 - 7 = 4
Second stack of cards = 7 + 7 = 14
Third stack of cards = 6

Second move:
First stack of cards = 4
Second stack of cards = 14 - 6 = 8
Third stack of cards = 6 + 6 = 12

Third Move:
First stack of cards = 4 + 4 = 8
Second stack of cards = 8
Third stack of cards = 12 - 4 = 8

Solution:

Chunky lives in house number 3 and bought chocolate ice cream with no topping.
The brand lives in house number 2 and bought mixed fruit ice cream with the orange grape.
Stef lives in house number 5 and bought pineapple ice cream with walnut.
Andy lives in house number 4 and bought raspberry ice cream with the grape.
Chunk lives in house number 1 and bought orange ice cream with raspberry.