Solution:

For(4) + a + change(delta/change symbol)
= For a change

Solution:

Route(Root symbol) + 66
= Route66

Solution:

Ruskin Stole Chihuahua
Sam stole Hyena
Terry Stole Deer

Explanation:
Let us consider the first two statements again; they are conflicting. However both can be true together. Also both of them cannot be incorrect which means that Terry stole Chihuahua and his statement will be true. But it has been already inferred that the one who stole Chihuahua was telling a lie thus it can’t be possible.

Focus on the given facts again. Terry might have stolen a hyena or a deer. Let us say that he stole hyena. In such an event the statement of Terry will be untruthful. But we know that the person who stole hyena told the truth, thus it is controverting our hypothesis and so cannot be true.

Considering everything, now we can be sure of the fact that Terry stole the deer.

It means that the declaration by Ruskin is totally false and the declaration by Sam is true which shows that the Chihuahua and hyena are stolen by these two. Also we know that the one who stole hyena is correct and the one stealing Chihuahua is a falsifier. Thus we now know that Ruskin stole Chihuahua and Sam stole hyena.

Solution:

None.

Yolk of the egg is yellow.

Solution:

987,654

Let us assume with a smaller number and then increase the number by extrapolating. If there are two citizens, the number of hairs on their heads will be zero and one. Therefore for ‘n’ number of citizens, the hair distribution will range from 0 to (n-1).

If you take up a case of a number greater than 987,654 let’s say 987,655; and consider the fact that none of the citizens have 987,654 hairs and they must be having different number of hairs, one must be having more than 987,654 hairs which is bluntly violating the fact of the town that there are more citizens than the hairs on any individual.

Solution:

40 triangles

16 + (8x2) + (4x2) + (1x2) + (1x2)

Solution:

Just add G before the number ONE and it will be GONE.

Solution:

20 Triangles

Explanation:
Let us consider the smallest side of the triangle as 1 cm.
Now count and you will find out that we have 1 + 5 + 5 + 1 = 12 triangles with the side 1 cm.
Number of triangles with side 2 cm = 1 + 2 (triangles facing upwards) + 1 + 2 (triangles facing downwards = 6 triangles
Number of triangles with side 3 cm = 2 (a triangle facing upwards + a triangle facing downwards)

Summing them up, we have 20 triangles in total.

Solution:

No one understands

Solution:

This problem can be solved with similar triangles property.
The White triangle is similar to the Red one
Now Ratio of sides is 2:3 (as ratio of areas = ratio of based if the height is same)
Seeking that, White triangle = 9/4 * Yellow triangle = 9/2
Following all the above, the Green region = 5.5 units