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CAT 2003 | Question: 1-119

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A positive whole number $\text{M}$ less than $100$ is represented in base $2$ notation, in base $3$ notation, and base $5$ notation. It is found that in all three cases the last digit is $1,$ while in exactly two out of three cases the leading digit is $1.$ Then $\text{M}$ equals

  1. $31$
  2. $63$
  3. $75$
  4. $91$
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