Solution:

Six.

There are only five colors, so six socks guarantee that two will be the same color.

Solution:

Move and then pour all juice from second glass to fifth glass.

Solution:

2 cakes

At each toll bridge you are required to give half of your cakes, and you receive one back. Which leaves you with 2 cakes after every bridge.

Solution:

C

Explanation:
It Seems, the water level might be even in all the glasses, but what will happened if we remove the objects from the glasses. When you put an object in water, it will displace the water with the mass of the object Hence, the glass that contains the object with the least amount of weight will have the most water in it.

Even though we might not know the exact weight of all those four objects, we can all agree, that the paper clip weighs the least and hence will displace the minimum water.

Solution:

6

Explanation:
Key1: 3 attempts for 3 gates.
Key2: 2 attempts for remaining 2 gates.
Key3: 1 attempts for the last gate.

Solution:

11

Explanation:
Tzu‑ying won 3 games
V.Sindhu must win 3(to balance 3 games she lost) + 5 games(required for min 50$) = 8 games
Total Games = 3 + 8 = 11 games.

Solution:

Cup-8

Explanation:
This might be tricky for mobile users where the bottom cup is difficult to focus on.

Solution:

47.

Explanation:
Aarav is 6 years old and his sister Arshika is half of his age, which indicates Arshika age is 3 years less than Aarav's age. So when Aarav is 50, Arshika will be 47

Solution:

Hazard

Explanation:
Since Luiz beats Terry and Pedro beats Luiz and Hazard beats Pedro, Hazard is the winner of the race.

Solution:

If you read the question carefully, you will find that both times are same.
An hour and a half are equal to 90 minutes only.