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What is the smallest prime number dividing the sum 3^22 + 5^12?
a. 3
b. 11
c. 5
d. 2
e 3^22 + 5^12
Read Solution (Total 6)
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- ans is 2...as sum of two odd is even and 2 will divide it..
- 11 years agoHelpfull: Yes(42) No(2)
- ans is 2
3^22 the last digit will end in 9 ,bec the cyclicity of 3 is 4 so ,22/4 we get reminder to be 2 and therefore 3 ^2 is 9 and similarly the cyclicty of 5 is 1 so the last digit will be 5
and the sum will have a last digit as 4
ultimately the smallest digit prime num which will divide the sum which has last digit of 4 is 2 . - 11 years agoHelpfull: Yes(9) No(0)
- last digit of the sol is 4; so ans is 2
- 11 years agoHelpfull: Yes(6) No(1)
- Easily we can see that ODD + ODD is EVEN.
So ans: 2 - 11 years agoHelpfull: Yes(3) No(0)
- answer is 2
divide the problem into two parts 3^22 and 5^12
i)3/2=1 reminder
ii)5/2 =1 reminder
add both the reminders 1+1/2=0 reminder. - 11 years agoHelpfull: Yes(3) No(1)
- answer is e.3^22+5^12.
- 11 years agoHelpfull: Yes(2) No(9)
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