Clavis TMUA Set B Paper 2 · Question 19

A positive integer is called stepped if and only if its digits, read from left to right, are strictly increasing. For example $137$ and $5$ are stepped, but $132$ and $771$ are not.

Which of the following statements is/are true?

I Every stepped number has at most $9$ digits.
II No stepped number contains the digit $0$ .
III If $n$ is stepped then $2n$ is stepped.

Anone of them

BI only

CII only

DIII only

EI and II only

FI and III only

GII and III only

HI, II and III

examday

Clavis TMUA Set B Paper 2 · Q19