MatheMAGIC #1

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

• 5

• 6

• 7

• 8

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

• 1

• 1011

• 2021

• 3031

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{ }\$  

•  $9-7-2\times1$  

•  $2+1-\sqrt{9}\times7$  

•  $9\times2-17$  

•  $21\div7-\sqrt{9}$  

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?

• 1

• 2

• 3

• Nimai cannot win

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What is the value of $1995^2$ ? 

•  $39825$  

•  $39925$  

•  $398025$  

•  $3980025$  

•  $3990025$  

Which of these is/are correct?

• $45^2=2125$

• $46^2=2136$

• $47^2=2209$

• $48^2=2364$

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

• $42^2$

• $48^2$

• $52^2$

• $58^2$