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Number Operations

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by vladmire » Wed Dec 03, 2008 4:09 pm
What are the basic rules to solving the operation problems can I plug in numbers (???)

If the product of three digits of the positive integer k is 14, what is the value of k?


(1) K is an odd integer

(2) K<700

(a) first
(b) second
(c) both
(d) each statement along
(e) neither
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Source: — Data Sufficiency |
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by jimmiejaz » Wed Dec 03, 2008 4:32 pm
the ans will be C.
We are give positive integer.
14 = 1*2*7
so, either the number is 127 or 721 or 172
From 1 , the number is odd.
It can be 127 or 721, insuff.
from 2, the number < 700
it can still be 127 or 172
combining both,
odd and less than 700 is only 127.
Hence ans is C
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by raajan_p » Wed Dec 03, 2008 4:46 pm
Should we not consider all the possible values?

As in, I thought we would get 6 different combinations of 14
127, 172, 217,271,712 and 721

Now, from one,
we can say that K will be one among -> 127, 217,271 and 721

From two,
we can say that K will be one among -> 127, 172,217 and 271.

Combining both, we still cant find one single value for K..

So answer should be E..

Correct me If I am wrong.
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by earth@work » Wed Dec 03, 2008 4:59 pm
i go with E
we need to consider all options:
127, 172, 217, 271, 721, 712
now (1) odd number leaves - 127, 217, 271, 721 - insufficient
(2) less than 700 gives 4 options - insufficient
(1) & (2) together also give more than one option - insufficient
answer is E
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thanks

by vladmire » Wed Dec 03, 2008 5:12 pm
yeah OA=E
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