You can wrap that statement into a TRY CATCH block to achieve this (if you are on SQL Server 2005 or above)

ALTER PROC aa
(
	@id int
)
AS
DECLARE @NAME VARCHAR(100)
SELECT @NAME = OBJECT_NAME(@ID)

IF @NAME IS NULL
BEGIN
	SELECT 'FALSE' SUCCESS
END
ELSE
BEGIN
	SELECT 'TRUE' SUCCESS

	SELECT 1

	SELECT 2

	BEGIN TRY
		SELECT 3/0
	END TRY
	BEGIN CATCH
		SELECT 'FALSE'
	END CATCH
END

GO

Is this what you are looking for?

No, sir.

if any error occurred, i need to display only select 'false' as success. means only one select statment.

if all the select statments executed successfully , then only i need to display all the statments, or else only false.

Thanks in Advance

Please don't think that I am rude, I would certainly consider this to be a bad design. This adds unwanted complexity. To achieve this you need to first execute all queries, capture results into temp tables, and finally decide to serve it to the client based on the result of the whole batch.

Instead of adding this weired complexity to the database code, the client application can easily do it.

If you still want to do it this way, execute each statement within a try catch block and capture the output into temp tables. Finally, if all statements succeed, then serve data from the temp tables. If any statement fails, then serve "false"