Explanation:

Procedure of Constitution Amendment

• As per the procedure laid out by article 368 for amendment of the Constitution, an amendment can be initiated only by the introduction of a Bill in either House of Parliament. The Bill must then be passed in each House by a majority of the total membership of that House and by a majority of not less than two-thirds of the members of that House present and voting.
• There is no provision for a joint sitting in case of disagreement between the two Houses. Total membership in this context has been defined to mean the total number of members comprising the House irrespective of any vacancies or absentees on any account vide Explanation to Rule 159 of the Rules of Procedure and Conduct of Business in Lok Sabha.
• The Bill, passed by the required majority, is then presented to the President who shall give his assent to the Bill. If the amendment seeks to make any change in any of the provisions mentioned in the proviso to article 368, it must be ratified by the Legislatures of not less than one-half of the States.
• These provisions relate to certain matters concerning the federal structure or of common interest to both the Union and the States viz., the election of the President (articles 54 and 55); the extent of the executive power of the Union and the States (articles 73 and 162); the High Courts for Union territories (article 241); The Union Judiciary and the High Courts in the States (Chapter IV of Part V and Chapter V of Part VI); the distribution of legislative powers between the Union and the States (Chapter I of Part XI and Seventh Schedule); the representation of States in Parliament; and the provision for amendment of the Constitution laid down in article 368. Ratification is done by a resolution passed by the State Legislatures.
• There is no specific time limit for the ratification of an amending Bill by the State Legislatures. However, the resolutions ratifying the proposed amendment must be passed before the amending Bill is presented to the President for his assent.

Note: Any member of the House can initiate the Constitution Amendment Bill. It can be done only in the Parliament and not in State Legislature. These Bills can be introduced in either House of Parliament. If sponsored by a Private Member, the Bill has to be examined in the first instance and recommended for introduction by the Committee on Private Members' Bills and Resolutions before it is included for introduction in the List of Business.

Hence only statement 1st is correct.