Thanks for your reply ,here is the code i want to remove the selected record from the list 

<apex:page controller="PagingController">
<apex:form >
<apex:pageBlock title="Paging through Categories of Stuff">

<apex:pageBlockButtons location="top">
<apex:commandButton action="{!process1}" value="Process Selected"/>
<apex:commandButton action="{!cancel}" value="Cancel"/>
</apex:pageBlockButtons>
<apex:pageMessages />

<apex:pageBlockSection title="Category Results - Page #{!pageNumber}" columns="1">
<apex:pageBlockTable value="{!categories}" var="c">
<apex:column width="25px">
<apex:inputCheckbox value="{!c.checked}"/>
</apex:column>
<apex:column value="{!c.cat.Name}" headerValue="Name"/>
</apex:pageBlockTable>
</apex:pageBlockSection>
</apex:pageBlock>

<apex:panelGrid columns="4">
<apex:commandLink action="{!first}">First</apex:commandlink>
<apex:commandLink action="{!previous}" rendered="{!hasPrevious}">Previous</apex:commandlink>
<apex:commandLink action="{!next}">Next</apex:commandlink>
<apex:commandLink action="{!last}">Last</apex:commandlink>
</apex:panelGrid>
<apex:pageBlock >
<apex:pageBlockSection columns="1">
<apex:repeat value="{!acc}" var="line">
{!Line.Name}
</apex:repeat>
</apex:pageBlockSection>
</apex:pageBlock>
</apex:form>
</apex:page>

----------------------------------------------Apex Class---------------------------------------------------

public with sharing class PagingController {
Set<Integer> i = new Set<Integer>();
List<categoryWrapper> categories {get;set;}
public List<string> ls {get;set;}
public List<account> acc{get;set;}
// instantiate the StandardSetController from a query locator
public ApexPages.StandardSetController con {
get {
if(con == null) {
con = new ApexPages.StandardSetController(Database.getQueryLocator([Select Id, Name FROM Account WHERE Check__c=false Order By Name limit 100]));
// sets the number of records in each page set
con.setPageSize(5);
}
return con;
}
set;
}

// returns a list of wrapper objects for the sObjects in the current page set
public List<categoryWrapper> getCategories() {
ls = new List<string>();
categories = new List<categoryWrapper>();
for (Account category : (List<Account>)con.getRecords()){
categories.add(new CategoryWrapper(category));
}
return categories;
}

// displays the selected items
public PageReference process() {
for (CategoryWrapper cw : categories) {
if (cw.checked)
ApexPages.addMessage(new ApexPages.message(ApexPages.severity.INFO,cw.cat.name));
}
return null;
}

public void process1()
{

i = new Set<Integer>();
integer j=0;
for(CategoryWrapper c : Categories){
if(c.checked==true)
i.Add(j);
j++;
}
for(Integer k : i ){

categories[k].cat.Check__c=true;
update categories[k].cat;
Categories.remove(k);
}

}

// indicates whether there are more records after the current page set.
public Boolean hasNext {
get {

// return con.getHasNext();
return true;

}
set;
}

// indicates whether there are more records before the current page set.
public Boolean hasPrevious {
get {
return con.getHasPrevious();
}
set;
}

// returns the page number of the current page set
public Integer pageNumber {
get {
return con.getPageNumber();
}
set;
}

// returns the first page of records
public void first() {
con.first();
}

// returns the last page of records
public void last() {
con.last();
}

// returns the previous page of records
public void previous() {
con.previous();
}

// returns the next page of records
public void next() {
con.next();
}

// returns the PageReference of the original page, if known, or the home page.
public void cancel() {
con.cancel();
}

public class CategoryWrapper {

public Boolean checked{ get; set; }
public Account cat { get; set;}

public CategoryWrapper(){
cat = new Account();
checked = false;
}

public CategoryWrapper(Account c){
cat = c;
checked = false;
}



}


}