MBA
Exam
A teacher asked her students to think of a natural no which was a perfect square and convert it to a base pf any natural number not more than 9.She observed that even though no 2 students converted to the same base,all the students ended up getting the same result of 12321.Find the max number of students in the class 1) 4 2) 5 3) 6 4) 7
Read Solution (Total 1)
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- 6
(12321) base n= n^4 + 2n^3 + 3n^2 + 2n +1 =(n^2 + n + 1)^2
with any base , 12321 will be a perfect square.
but n can not be more than 9 and also n=1,2,3 not possible as these numbers are used.
so max possible number of students is 6. - 11 years agoHelpfull: Yes(1) No(0)
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