CAT 2014 | Question: 6

Question

Answer the questions based on following data.

The pages of a book are numbered $0, 1, 2 …$ upto $M, M >0$. There are four categories of instructions that direct a person in positioning the book at a page. The instruction types and their meanings are :

1. NEW : Position the book at page No. $1$ 
2. END : Position the book at page No. $0$ 
3. ONWARD, $n$ :From the current page move forward by $n$ pages; if, in this process, page number $M$ is reached, stop at $M$. 
4. REGRESS, $n$ : From the current page, move backward by $n$ pages; if in this process, page number $0$ is reached, stop at page number $0$.

In each of the following questions, you will find a sequence of instructions formed from the above categories. In each case, let $n1$ be the page number before the instructions are executed and $n2$ be the page number at which the book is positioned after the instructions are executed. 

$\text{ONWARD, 25 ; REGRESS, 10.}$ which of the following statements is true? 

1. $n1=n2$ if $M=10$ and $n1=0$ 
2. $M=20$ provided $n1>0$ 
3. $n1>30$ provided $M=900$ 
4. $n1=37$ provided $M=25$