Solution:

Let the cost of cap = m
Cost of pen = (5 + m)

As per the condition

5.50 = 5 + m + m
2m = 0.5
m = 0.25

Hence, the cap costs 25 Paise.

Solution:

30 squares.

Explanation:
Assuming smallest square side is 1 meters, then

Total number of squares with side 1 meters are 16
Total number of squares with side 2 meters are 9
Total number of squares with side 3 meters are 4
Total number of squares with side 4 meters is 1

summing 16+9+4+1 = 30

Solution:

It will take the man 58 minutes to reach the top.

Since he is climbing 3 feet and falling 2 feet back every passing minute, he is actually climbing 1 feet every minute.
Therefore, he would have climbed 57 feet in 57 minutes. The remaining distance is 3 feet. He will take one more minute to climb it and reach the surface. Since he has reached the top surface, he won't slip back.

Solution:

No

Solution:

It is mentioned that 'all but fifteen pencils' were used by him. This phrase means that except fifteen, all his pencils were used.

Thus, he is left with fifteen pencils.

Solution:

Chalk Board

Solution:

solution solved as below.

Solution:

I am word "Introvert"

Solution:

An apple a day keeps a doctor away :-)

Solution:

3 + 3 = 8 can be set true by moved to one of two solution.
A) 5 + 3 = 8
B) 3 + 5 = 8