For All Your Quant Queries
with 10 comments
What is the sum of the digits of a two digit number which is 32 less than the square of the product of its digits?
A. 12 B. 11 C. 10 . D. 9 E. 8
Written by Implex
July 16, 2009 at 5:28 am
Posted in CAT 2009, Mock Quant, Number Thoery, Online CAT, Problem of the week, Problems
Tagged with cat, IIM, Number Theory, Online CAT, quant
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July 16, 2009 at 8:27 am
I got the same by trial & error.. trying dif combs till i got the answer as 17 .
Could you please elaborate the method that you might have used ?
July 16, 2009 at 8:39 am
I started with 36-32=4 not works
49-32=17 which is 7^2
so we r done..
it can be done algebraically, but its a bit tedious
July 16, 2009 at 8:48 am
ok thanks man …
July 16, 2009 at 9:06 am
answer : 17
Method : tens place cannot be 2 since after 24 the differences hugely . so tens place has to be one and becomes quite apparent that it has among 15,16,17, 18 .
July 16, 2009 at 11:50 am
July 16, 2009 at 1:38 pm
July 20, 2009 at 1:11 pm
max possible number 99+32=131 and minimum is 10+32=42
we have to watch for squares b/w them.
we are left with 36/49/64/81
July 24, 2009 at 8:30 am
hai shivam , yours approach is excellent
July 25, 2009 at 2:51 pm
i started out wit 12 but due to huge diff. shifted directly 2 option e and gotten the ans by trial n error… bt i suppose its a bit stupid coz its tym consuming… it ws nice anyways.
August 11, 2009 at 11:16 am
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