Both the statements are correct.
The Constitution does not contain any specific procedure for the selection and appointment of the Prime Minister. Article 75 says only that the Prime Minister shall be appointed by the president. However, this does not imply that the president is free to appoint any one as the Prime Minister. In accordance with the conventions of the parliamentary system of government, the President has to appoint the leader of the majority party in the Lok Sabha as the Prime Minister.
But, when no party has a clear majority in the Lok Sabha, then the President may exercise his personal discretion in the selection and appointment of the Prime Minister. In such a situation, the President usually appoints the leader of the largest party or coalition in the Lok Sabha as the Prime Minister and asks him to seek a vote of confidence in the House within a month.

Statement 1 is incorrect while statement 2 is correct.
Council of Ministers are collectively responsible to the Lok Sabha.
Resignation or death of an incumbent Chief Minister dissolves the Council of Ministers.

1 and 3 are correct.
When a bill is sent to the governor after it is passed by state legislature, he can:
(a) Give his assent to the bill, or
(b) Withhold his assent to the bill, or
(c) Return the bill (if it is not a money bill) for reconsideration of the state legislature. However, if the bill is passed again by the state legislature with or without amendments, the governor has to give his assent to the bill, or
(d) Reserve the bill for the consideration of the president.

Statement 1 is incorrect while statement 2 is correct.
The Department for Promotion of Industry and Internal Trade (DPIIT) announced an Open Network for Digital Commerce (ONDC). Open Network for Digital Commerce (ONDC) project that is aimed at curbing “digital monopolies”. This is a step in the direction of making e-commerce processes open source, thus creating a platform that can be utilised by all online retailers.
It will make the e-commerce ecosystem open source, which means allowing sellers to be discoverable across multiple platforms for a wider reach to customers instead of available to customers on only one particular ecommerce platform, will help democratize digital commerce much like Unified Payments Interface (UPI).

Following NASA’s footsteps, the European Space Agency (ESA) announced that it has selected EnVision as its next orbiter that will visit Venus sometime in the 2030s.