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Maths Puzzle
HR Interview
Interview
Find the base K of the number system, if (524)8 = (664)K ?
Read Solution (Total 2)
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- base K = 7.
5*8^2 + 2*8^1 + 4*8^0 = 6*K^2 + 6*K^1 + 4*K^0
320 + 16 + 4 = 6(K^2) + 6K + 4
340 = 6(K^2) + 6K + 4
6(K^2) + 6K + 4 - 340 = 0
6(K^2) + 6K - 336 = 0
dividing by 6;
(K^2) + K - 56 = 0
solving this quadratic equation we get, K=7 and K=-8
thus K=7 is the answer. - 13 years agoHelpfull: Yes(5) No(0)
- they are two values 7,-8
as where k is a base ,we consider positigve value of k i.e k=7
correct ans :7
- 10 years agoHelpfull: Yes(0) No(0)
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