Solution:

888

Explanation:
Part-1: Triangle
The triangle is an equilateral triangle.
The value of E and L is determined by the position in the English alphabets i.e E = 5 & L = 12. Together they form number 512

As we know that the equilateral triangle has 3 equal sides, therefore
X^3 = 512
X = 8
=> XXX = 888 ... (desired)

Part-1: X/3 = X
X is the 24th letter, therefore 24/3 = 8

Solution:

A coconut.

Explanation:
Thirsty: she can drink coconut water.
Hungry she can eat coconut's malai.
Cold: she can burn the cover of the coconut.

Solution:

A

Explanation:
Pi = 3.141592653.....
All images are related by pi value i.e "The number of straight lines on each shape corresponds to the digits of pi."

Solution:

She is near the trunk of the tree as shown below.

Solution:

Terry was in the lift.

Solution:

They were facing each other and not back to back.

Solution:

abracadabra

Solution:

Stationary and Stationery

Solution:

CAT

Explanation:
1. LOCATE
2. EDUCATE
3. CATER
4. CATTLE

Solution:

Not sure.

John Brunner always sneezes before the rain, but it was not mentioned that if Brunner sneezes, it will rain.