Q. 4^^61 + 4^^62 + 4^^63 + 4^^64. This sum is divisible by which of the following?
13
17

• 4^^61(1+4+4^^2+4^^3)
  
  = 4^^61(1+4+16+64)
  = 4^^61 * 85
  85 is divided by 17..
  
  So ans is 17
• 12 years agoHelpfull: Yes(11) No(2)
• ANS is 17
  4^^61(1+4+16+64)
  (4^^61)*85
  85 is divisible by 17
• 12 years agoHelpfull: Yes(3) No(6)
• answer is 17
• 12 years agoHelpfull: Yes(2) No(3)
• 4^61(1+4+16+64)=(4^61)*85 so it is divisible by 17.
• 10 years agoHelpfull: Yes(2) No(1)
• answer is 17
  
• 12 years agoHelpfull: Yes(0) No(6)
• kautav bose.... what about 4^61 value ...??
• 10 years agoHelpfull: Yes(0) No(0)
• 4^^61(1 + 4 + 16 + 64 )
  4^^61( 85 )
  and this is obviously divisible by 17
• 10 years agoHelpfull: Yes(0) No(0)
• 4^^61(1+4+4^^2+4^^3)
  
  = 4^^61(1+4+16+64)
  = 4^^61 * 85
  85 is divided by 17.
  ans is 17.
• 9 years agoHelpfull: Yes(0) No(0)
• we can check its remainder also if remainder is 0 .
  solution
  4^^61/17 = -1
  similarly for next its +1 ,-1 ,+1 and sum of these remainders is 0
  so answer is 17
• 8 years agoHelpfull: Yes(0) No(0)
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• 7 years agoHelpfull: Yes(0) No(1)