Question

3. A bridge was guarded by an evil troll. The troll was very intelligent, but he was also a coward. Ile was
afraid of anyone smarter than him. So every time anyone tried to cross the bridge, the troll would set up a
test. If the traveler passed the test, he would be allowed to cross. Otherwise, the troll would eat him. A
judge named Oscar came across the bridge. The troll said, "You may only cross my bridge if you know
the password." He then wrote 26 equations on a rock: A 1.B-2, and so on until 7-26. "Today's
password is the name of a woman," said the troll. "The woman's name has the same 'product' as the word
JUDGE, that is, 10*21*4*7*5, It also has the same number of letters as JUDGE. However it has no letters
in common with JUDGE." "When the first and second letters in the woman's name are switched around
the letters are in alphabetical order." "Finally," said the troll, the woman's name does not contain the
letter C because I despise the number 3." So, what is the password? And why couldn't the troll use similar
rules to create a password using the name OSCAR rather than the word JUDGE?
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Answer 1

Answer:

FANNY  is the Password

Step-by-step explanation:

JUDGE

= 10 * 21  * 4  * 7 * 5

= (2 * 5) * ( 3 * 7 )  * (2 * 2)  * 7  * 5

Nothing is common with judge

7 factor are 7 , 14 21   from 1 to 26

7 & 21  ( E & U used in judge)

so only 14 left

7 is twice so

14 is to be used twice

N will come twice

(2 * 5) * ( 3 * 7 )  * (2 * 2)  * 7  * 5

= (2 * 7) ( 2 * 7)  ( 2  * 3  * 5 * 5 )

C is not used in name  so 3 can not be

E is there so 5 can not use

3 * 2 = 6  F

5*5 = 25 Y

A = 1 (multiplication with 1 will not cause any issue)

Alphabetical order AFNNY ( after replacing 1st & 2nd Letter)

=> FANNY

FANNY  is the Password