Both the statements are correct.
The writ jurisdiction of the high court (under Article 226) is not exclusive but concurrent with the writ jurisdiction of the Supreme Court (under Article 32). It means, when the fundamental rights of a citizen are violated, the aggrieved party has the option of moving either the high court or the Supreme Court directly.
But, the Supreme Court can issue writs only for the enforcement of fundamental rights and not for any other purpose, that is, it does not extend to a case where the breach of an ordinary legal right is alleged.

Apart from the Directives included in Part IV, there are some other Directives contained in other Parts of the Constitution. They are:
1. Claims of SCs and STs to Services: The claims of the members of the Scheduled Castes and the Scheduled Tribes shall be taken into consideration, consistently with the maintenance of efficiency of administration, in the making of appointments to services and posts in connection with the affairs of the Union or a State (Article 335 in Part XVI)
2. Instruction in mother tongue: It shall be the endeavor of every state and every local authority within the state to provide adequate facilities for instruction in the mother-tongue at the primary stage of education to children belonging to linguistic minority groups (Article 350-A in Part XVII).
3. Development of the Hindi Language: It shall be the duty of the Union to promote the spread of the Hindi language and to develop it so that it may serve as a medium of expression for all the elements of the composite culture of India (Article 351 in Part XVII).

Statement 1 is correct while statement 2 is incorrect.
A cantonment board is established for municipal administration for civilian population in the cantonment area. It is set up under the provisions of the Cantonments Act of 2006—a legislation enacted by the Central government.
It works under the administrative control of the defence ministry of the Central government.

Both the statements are correct.
National Automated Clearing House (NACH) is the centralized web-based inter-bank payment/transaction processing system by the National Payments Corporation of India (NPCI).
NACH allows regular direct debit from a borrower’s bank account towards his loan repayments. This is directly credited to the lender’s bank account.

Statement 1 is correct while statement 2 is incorrect.
A zero-coupon bond is a debt security that does not pay interest but instead trades at a deep discount, rendering a profit at maturity, when the bond is redeemed for its full-face value.
It does not make periodic interest payments or have so-called coupons, hence the term zero coupon bond. When the bond reaches maturity, its investor receives its par (or face) value.