MatheMAGIC #1

For how many of these eight equations, is it possible to make 6 by just inserting $+,-,\times,\div\ or\ \sqrt{ }$  in LHS?

Choose the correct value of: 1 - 2 + 3 - 4 + 5 - 6 + 7 - 8 + ... - 2020 + 2021

Which of these is/are correct ways to create a zero by using only all the four digits of 1729 along with any of $+,\ -,\ \times,\ \div\ or\ \sqrt{ }\$  

Nimai & Nitai pick 1, 2 or 3 coins alternately from the table. Whoever will pick last coin wins the game. It's Nimai's turn and there are 27 coins. How many should he pick to win?

What is the value of $1995^2$ ? 

Which of these is/are correct?

Which of these has/have 64 as the last two digits, when simplified?