If \( 100 \mathrm{~cm} \) is divided into two parts such that the P sum of 2 times the smaller p...

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If \( 100 \mathrm{~cm} \) is divided into two parts such that the
P sum of 2 times the smaller part and \( \frac{1}{3} \) of the larger part, is less than \( 100 \mathrm{~cm} \), then which of the following is correct?
(a) Larger portion is always less than 60.
(b) Smaller portion is always less than 60 and more than 40 .
(c) Larger portion is always greater than 60.
(d) Smaller portion is always greater than 40.
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