Which Religion Logic Puzzle Walkthrough

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(1/25)
#1 tells you that #19 is Hinduism.

(2/25)
#1 tells you that the corners are all different, so #25 is not Islam. #19 tells you that #25, being female, must be either Christianity or Islam. Therefore #25 is Christianity.

(3/25)
Now you know from #1 that #5 is either Buddhism or Hinduism. But #5 is female, meaning that she cannot be adjacent to a Hindu in the fourth row (#19). So neither #4 nor #9 is the other Hindu in the fourth row. #24 is obviously adjacent to a Hindu, meaning she must be monotheistic. Therefore, the other Hindu in the fourth row is #14.

(4/25)
#19 tells you that #9 and #24 are both Christianity and/or Islam. Since the same row already has two Hindus, and since #14 says that all rows but the top row must have at least one follower of the four religions, you know that this row needs a Buddhist. Therefore #4 is Buddhism.

(5/25)
#20 is a female adjacent to one of the two Hindus in the fourth row. Therefore, according to #19, she must be Islam or Christianity. If #9 is Islam, #20 is not, according to #4, and would then have to be Christianity. If #9 is not Islam, that row still needs one Islam, so #24 would be Islam. And if #24 is Islam, then #20 would have to be Christianity, according to #25. So whether or not #9 is Islam, #20 is Christianity.

(6/25)
#2 is the only unknown male in that column. Therefore, according to #20, #2 is Islam.

#8, #13, and #18 are all females adjacent to either of the two Hindus in the fourth row, meaning all three of them are either Christianity or Islam, according to #19. So according to #14, they must be two of one of them and one of the other, and the remaining two in that row (#3 and #23) must be Buddhism and Hinduism or vice versa. So #23 is not Islam. #21 is also not Islam, according to #1. Therefore, according to #20, the only male in the far right column who can be Islam is #22.

(8/25)
The second row cannot have a third Islam, given #14, or else it could never have one follower of each religion. This means, according to #20, that #15 must be Islam.

(9/25)
The bottom row still needs Buddhism and Hinduism, according to #14. So #10 cannot be Islam. Therefore, according to #20, #6 must be Islam.

(10/25)
There are only four unknown males at this point: #10, #12, #21, and #23. According to #6, at least one of them must be Christianity. #21 is Buddhism or Hinduism, according to #1. #23 is also Buddhism or Hinduism, according to step 6/25. And #10 also must be Buddhism or Hinduism, according to #14. This means that the only male Christian must be #12.

(11/25)
You know that #5 and #21 are different from #1; one is Buddhism and the other is Hinduism. You also know that #5 and #10 are different, according to #14; one is Buddhism and the other is Hinduism. If #5, #10 and #21 can all be one of the same two things, and #5 is different from #10 and different from #21, it follows that #10 and #21 are the same: whatever #5 is not. Therefore, according to #12, #24 is Christianity.

(12/25)
The fourth row needs Islam, according to #14. So #9 is Islam.

(13/25)
Because of #14, you know that #7 and #17 are Buddhism and Hinduism or vice versa. Therefore #9 must be referring to the second row. This means that the middle row must have two adjacent followers of the same religion. From #19 you know that #8, #13, and #18 are all Christianity and/or Islam. From #14 you know that it must be two of one and one of the other. That in turn means that #3 and #23 are Buddhism and Hinduism or vice versa.
Now the six options for #8, #13, and #18, just assuming that they are all monotheistic (#19) and that they cannot all be the same (#14) are:
CCI, CIC, CII, ICC, ICI, IIC
#22 tells you that #8 is not the odd one out, so you can rule out CII and ICC.
#15 tells you that #9 is adjacent to more Muslims than Christians, so you can rule out CCI because none of #3, #5, and #10 can be Christianity.
Looking at #9, you can rule out any combination that does not give you two of the same religion being adjacent, so take away CIC and ICI.
All that’s left is IIC, so #8 and #13 are Islam and #18 is Christianity.

(16/25)
You should know by know that most of the remaining cells are either Buddhism or Hinduism. You know from #1 that #21 is either Hinduism or Buddhism. So #8 could be referring to the first, second, or fourth column.#13 tells you that either #7 or #21 is Buddhism. If #7, then #3 is Hinduism and #5 would have to be Buddhism (#18). Then, according to #14, #10 would have to be Hinduism, so neither of those columns would satisfy #8. So that would tell you that #17 is Hinduism, since it is either that or Buddhism.
Now look at what happens if #21 is Buddhism instead of #7 (#13). #5 would be Hinduism, according to #1. This would make #10 Buddhism, according to #14. #7 would have to be Hinduism, according to #18, since #5 would already be Hinduism. So again, neither of those two columns could satisfy #8. So, with either of #13’s scenarios, #8 is referring to the fourth column. That column already has Christianity and Hinduism, so #17, which is either Hinduism or Buddhism (#14), must be Hinduism.

(17/25)
So #14 tells you that #7 is Buddhism.

(18/25)
According to #18, #3 must be Hinduism and #5 must not, so it is Buddhism.

With #7 being Buddhism, #10 cannot be, according to #9, so #10 is Hinduism. (Or use #14 once you have #5 as Buddhism)

(21/25)
With #3 being Hinduism, #14 tells you that #23 is Buddhism.

With #5 being Buddhism, #1 tells you that #21 is Hinduism.

(23/25)
There are only four Buddhists, so #21 tells you that #11 and/or #16 is Buddhism. You have established that #8 refers to the fourth column, so #16 cannot be Buddhism. So #11 is Buddhism.

(24/25)
#14 tells you that #16 cannot be Christianity. So then #8 tells you that #16 must be Hinduism.

 

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