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Maths Puzzle
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the expression 333^555 +555^333 is divisible by:
a) 2
b) 3
c) 37
d) 11
e) all of these
Read Solution (Total 3)
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- e) all of these
333^555 +555^333 = (111)^333*(111^222*3^555 +5^333)
unit place is 3+5 = 8, divisible by 2.
111 is divisible by both 3 & 37, so divisible by 3 & 37.
333^555 +555^333 / 11 gives rem = 0+0 = 0 - 10 years agoHelpfull: Yes(4) No(0)
- unit place of expression is 8 ie.3^5+5^3=3+5=8
so it divisible by 2 - 10 years agoHelpfull: Yes(1) No(0)
- remainder is 32 which is divisible by 2.
so option(a) is right answer
- 10 years agoHelpfull: Yes(0) No(0)
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