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number system

Expert replies
Source: — Problem Solving |

by vipulgoyal » Mon Apr 29, 2013 9:26 pm
my take E on this, experts please suggest
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by Anju@Gurome » Mon Apr 29, 2013 9:36 pm
We have a separate section for DS problems please post your next DS problems there.
vipulgoyal wrote:Given that c<d, e<c, is c>8?

1. c + d + e = 24
2. d < 12
We know that e < c < d.
We need to determine c > 8 or not.

For this type of problem, always try to pick some numbers on both sides of the asking limit (here 8) and check whether they satisfy both the statements or not.

For example, consider the following two cases,
  • c = 9 ---> d = 10 and e = 5 ---> (c + d + e) = 24 and d < 12 ---> c = 9 > 8 ---> YES
    c = 7 ---> d = 11 and e = 6 ---> (c + d + e) = 24 and d < 12 ---> c = 7 < 8 ---> NO
So, both statements together is also not sufficient.

The correct answer is E.
Anju Agarwal
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Backup Methods : General guide on plugging, estimation etc.
Wavy Curve Method : Solving complex inequalities in a matter of seconds.

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