# MBA Quant : A three digit number mnp

MBA Quant : A three digit number mnpCategory: MBAMBA Quant : A three digit number mnp
Suyash Rana asked 8 years ago

A three digit no. ‘mnp’ is a perfect square and the no. of factors it has is also a perfect square.It is also known that the digits m,n,p are distinct.
if (m+n+p) is also a perfect square,what is the no. of factors of the six digit no. mnpmnp?
a)32
b)72
c)48
d)cannot be determined

4 Answers
vivek rathi answered 7 years ago

ans is 32.    there is only one 3 digit no. which satisfies all the required criteria & that is 196.  so if we find all factors of 196196, we get overall 32 factors

Rahul Pai answered 7 years ago

@vivek rathi:   How did you arrive at 196? was it trial and error or is there a method?

Rahul Pai answered 7 years ago

@vivek rathi:   How did you arrive at 196? was it trial and error or is there a method?

vivek rathi answered 7 years ago

@ Rahul Pai  It was pure trial & error approach.. I personally feel dat dere wont be any technical method for such category of questions. If dere is any technical method plz suggest me

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