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Did he tell the truth?

If the guy was from the west, he should answer the truth: I am from the west.

If the guy was from the east, he also should tell a lie: I am from the west.

The answer will always be: I am from the west. So we know the tour guide was telling the truth.

What are the next 2 numbers?

7 x 7 + 2 x 2 = 53, 5 x 5 + 3 x 3 = 34, 3 x 3 + 4 x 4 = 25.

The next two numbers are 2 x 2 + 5 x 5 = 29, 2 x 2 + 9 x 9 = 85

Alphabet Soup

Each letter on the top has straight lines only. Each letter in the box has mixed straight lines and curves. Each letter at the bottom has curves only.

Therefore, S goes to the bottom, T, V, W, X, Y, Z go to the top, U goes into the box.

That is what you call lateral thinking!

Given: 1). John loved girl-1 who loved Jim. 2). Allan loved girl-2 who loved Bill. 3). Rose loved gentleman-1 who loved Mary. 4). Gloria loved gentleman-2 who loved Rose. 5). Gloria did not like Jim and John. 6). Bill did not like Mary. Reasoning: 7). Item 3 and 4 can be combined into 1 chain. 8). Gloria can not be the girl-1 because 1 and 5. 9). Since Bill does not like Mary, Bill can not be gentleman 1. 10). Bill can not love Gloria, because that will end up combining item 2 and 7. The resulting chain will have 5 girls. It meant Bill was gentleman 2 and loved Rose. 11). It also implied that girl-2 was Gloria. 12). According to item 2, the answer was Allan loved Gloria.

How old are they?

The possibilities are
a). 1, 4 ,9, Sum=14
b). 1, 2, 18, Sum=21
c). 1, 1, 36, Sum=38
d). 1, 6, 6, Sum=13
e). 2, 2, 9, Sum=13
f).  2, 3, 6, Sum=11
g). 3, 3, 4, Sum=10

The investigator could not get the answer because there are 2 cases will have the same sum (13). The case 2, 2, 9 will be more likely the case because the oldest daughter (age 9) goes to school.

I bet you can't wait until the next issue for more challenges!!