Math Chapter Wise question with answer

Q01 Given that the set Z of integers forms a group under the binary operation *, defined by a*b= a+b+1; a, b∈Z The inve... English · LT 2018/ TGT 2011 Q02 Image of the open interval (0, 1) under the continuous mapping y = x – x2 is English · PGT 2004 Q03 Zn = {0, ± ± ±1, ± ± ±2,.........(n–1)} fails to be a group under multiplication modulo n because: English · PGT 2000 Q04 Which of the following sets forms a group under multiplication: English · UP PCS (Pre) 1998 Q05 The power set P(X) of a set X is a group under the law of composition of: English · UP PCS (Pre) 2008 Q06 For two different finite sets A and B, Inclusion- Exclusion relation states that: English · OAVS TGT 2018