BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

DS Question - Number properties

Expert replies
by tinni » Wed Jul 04, 2007 9:52 am
If n is an integer and 100 < n <200, what is the value of n?
(1) n/36 is an odd integer.
(2) n/45 is an even integer.


Given , 100<n<200 and n is an interger

From (1):
n/36 is an ODD integer
=> n is a multiple of 36 and also 100<n<200
=> 36*3=108 , 36*4=144, 36*5=180
=> n could be 108 or 180
So, INSUFFICIENT

From (2):
n/45 is an EVEN integer
=> n is a multiple of 45 and also 100<n<200
=> 45*3=135 , 45*4=180
=> n should be 180 , because n/45 is an even integer
So, SUFFICIENT

Hence option (B)

But the OA says (C)..Please help me to explain the OA
Join the discussion
Source: — Data Sufficiency |

by gabriel » Wed Jul 04, 2007 10:44 am
... well B seems right to me .... do u have the OE ... if yes plz do post it ...
Join the discussion

by jrbrown2 » Wed Jul 04, 2007 10:48 am
From my calculation B is correct. I don't see how statement 1 is necessary.
Join the discussion

by discreet » Fri Jul 06, 2007 12:24 am
B is indeed correct !
It can't be C....B is surely sufficient given the boundaries of n.
Join the discussion