Group RadioButtons inside All Templatefield Columns in GridView Row based on data in ASP.Net

Here I have created sample that will help you out.

HTML

<div>
    <script type="text/javascript" src="http://ajax.googleapis.com/ajax/libs/jquery/1.7.2/jquery.min.js"></script>
    <script type="text/javascript">
        function RadioCheck(rb) {
            var gv = document.getElementById("<%=GridView1.ClientID%>");
            var rbs = $(gv).find('[id*=RadioButton1]');
            var row = rb.parentNode.parentNode;
            var types = $(gv).find("[id*=HiddenField1]");
            var type = $(row).find("[id*=HiddenField1]");
            for (var i = 0; i < rbs.length; i++) {
                if (type[0].value == types[i].value) {
                    if (rbs[i].type == "radio") {
                        if (rbs[i].checked && rbs[i] != rb && types[i] != type) {
                            rbs[i].checked = false;
                            break;
                        }
                    }
                }
            }
        }
    </script>
    <asp:GridView ID="GridView1" runat="server" AutoGenerateColumns="false" BorderColor="Black"
        DataKeyNames="ID,Type" BorderStyle="Solid" BorderWidth="1px" CellPadding="4"
        CssClass="Gridview">
        <Columns>
            <asp:BoundField DataField="Id" HeaderText="Id" />
            <asp:TemplateField HeaderText="NAME" HeaderStyle-HorizontalAlign="Center" ItemStyle-HorizontalAlign="Left"
                ItemStyle-CssClass="allcaps">
                <ItemTemplate>
                    <asp:TextBox runat="server" ID="txt_Name" Text='<%#Eval("Name") %>' Font-Bold="false"
                        Font-Names="Verdana" Font-Size="12px" />
                </ItemTemplate>
                <HeaderStyle HorizontalAlign="Center" Wrap="false" />
                <ItemStyle Font-Names="Verdana" HorizontalAlign="Left" Wrap="false" />
            </asp:TemplateField>
            <asp:TemplateField HeaderText="COUNTRY" HeaderStyle-HorizontalAlign="Center" ItemStyle-HorizontalAlign="Left"
                ItemStyle-CssClass="allcaps">
                <ItemTemplate>
                    <asp:TextBox runat="server" ID="txt_Country" Text='<%#Eval("Country") %>' Font-Bold="false"
                        Font-Names="Verdana" Font-Size="12px" />
                </ItemTemplate>
                <HeaderStyle HorizontalAlign="Center" Wrap="false" />
                <ItemStyle Font-Names="Verdana" HorizontalAlign="Left" Wrap="false" />
            </asp:TemplateField>
            <asp:TemplateField>
                <ItemTemplate>
                    <asp:RadioButton ID="RadioButton1" runat="server" onclick="RadioCheck(this);" />
                    <asp:HiddenField ID="HiddenField1" Value='<%#Eval("Type") %>' runat="server" />
                </ItemTemplate>
            </asp:TemplateField>
        </Columns>
        <RowStyle BackColor="White" Font-Bold="false" Font-Names="Arial" Font-Size="12px"
            CssClass="allcaps" />
        <FooterStyle BackColor="#A0A0A0" ForeColor="Black" Font-Bold="false" Font-Names="Arial"
            Font-Size="12px" />
        <HeaderStyle BackColor="#A0A0A0" ForeColor="White" Font-Bold="false" Font-Names="Arial"
            Font-Size="12px" />
        <AlternatingRowStyle BackColor="White" Font-Bold="false" Font-Names="Arial" Font-Size="12px"
            CssClass="allcaps" />
        <SelectedRowStyle BackColor="White" Font-Bold="false" ForeColor="black" />
    </asp:GridView>
    <asp:Button Text="Submit" runat="server" OnClick="btn_Submit_Click" />
</div>

protected void Page_Load(object sender, EventArgs e)
{
    if (!this.IsPostBack)
    {
        DataTable dt = new DataTable();
        dt.Columns.AddRange(new DataColumn[4] { new DataColumn("Id", typeof(int)),
                new DataColumn("Name", typeof(string)),
                new DataColumn("Country",typeof(string)),new DataColumn("Type",typeof(string)) });

        dt.Rows.Add(1, "David", "UK", "0");
        dt.Rows.Add(2, "Jhon", "USA", "0");
        dt.Rows.Add(3, "Kevin", "USA", "0");
        dt.Rows.Add(4, "Peter", "UK", "1");
        dt.Rows.Add(5, "Andrea", "USA", "1");
        dt.Rows.Add(6, "Anabell", "UAE", "2");

        GridView1.DataSource = dt;
        GridView1.DataBind();
    }
}

Screenshot