Solution:

Yes, this is possible. The doctor is the wife and the mother.

Solution:

9

Explanation:
5 cartons for large boxes = 5 * 6 = 30 boxes
4 cartons for small boxes = 4 * 9 = 36 boxes

He will need 9 cartons to place 66 boxes.

Solution:

The man is 84 years old.
The son is 49 years old.
The grandson is 7 years old.

Solution:

Both of them were able to cross the river because they were standing on the opposite sides of the river.

Solution:

24

For Explanation : check picture solution.

Solution:

HEAVEN

Explanation:
ENEMY = 4 + 3 + 4 + 4 + 3 = 18
LINK = 2 + 1 + 3 + 3 = 9
HELL = 3 + 4 + 2 + 2 = 11
TAXI = 2 + 3 + 2 + 1 = 8
HEAVEN = 3 + 4 + 3 + 2 + 4 + 3 = 19

Using the same trick,
TAXI + HELL = 8 + 11 = 19 = HEAVEN.

Therefore, the required answer is HEAVEN.

Solution:

Rajesh will love villages but he will hate towns.

This is because he only likes things that contain double letters in their spelling.
The words balloons, swimming and weeds have double letters. Even villages has double letters and thus he will love villages.

Solution:

32 Degrees Fahrenheit at which Water Freezes.

Solution:

18

Solution:

252

Explanation:
A unique pattern has been made into use in this series.
All numbers are (n^3 + n^2) where n is 1, 2, 3 and so on.

In first number, n = 1
1^3 + 1^2 = 1 + 1 = 2

In second number, n = 2
2^3 + 2^2 = 8 + 4 = 12

In third number, n = 3
3^3 + 3^2 = 27 + 9 = 36

In fourth number, n = 4
4^3 + 4^2 = 64 + 16 = 80

In fifth number, n = 5
5^3 + 5^2 = 125 + 25 = 150

Similarly for the sixth number, n = 6
6^3 + 6^2 = 216 + 36 = 252.