Home
Class 12
MATHS
Which of the following is a subgroup of ...

Which of the following is a subgroup of `G={0,1,2,3,4,5}` under addition modulo 6 ?

A

`{0,2}`

B

`{0,1}`

C

`{0,4}`

D

`{0,3}`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • KARNATAKA CET 2002

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS (MCQ.s)|50 Videos

  • KARNATAKA CET 2005

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|59 Videos

Similar Questions

Explore conceptually related problems

In the group G={0,1,2,3,4,5} under addition moduel 6, (2o+_(6)e^(-1)o+_(6)4)^(-1)=

Which of the following is a subgroup of the group G = {2^(n)| n in N } under multiplication ?

In the group {1,2,3,4,5,6} under multiplication mod 7, 2^(-1)xx4=

In the group {1,2,3,4,5,6} under multiplication mod 7,2^(-1) xx 4=

Which of the following hydrocarbons undergo addition reaction ? C_2H_6, C_3H_8, C_3H_6, C_2H_2 and CH_4

Which of the following hydrocarbon undergo addition reactions ? C_(2)H_(6),C_(3)H_(8), C_(3)H_(6), C_(2)H_(2) and CH_(4)

Which of the following hydrocarbons undergo addition reactions: _2H_6,C_3H_8,C_3H_6,C_2H_2 and CH_4

KCET PREVIOUS YEAR PAPERS-KARNATAKA CET 2003-MATHEMATICS
  1. In Z the set of all integers, the inverse of -7 w.r.t. '**' defined by...

    Text Solution

    |

  2. Which of the following is a subgroup of G={0,1,2,3,4,5} under addition...

    Text Solution

    |

  3. In the three element group {e,a,b} where e is the identity , a^(5)b^(...

    Text Solution

    |

  4. Which of the following is a group ?

    Text Solution

    |

  5. If the circles x^(2)+y^(2)+2gx+2fy=0 and x^(2)+y^(2)+2g'x+2f'y=0 touch...

    Text Solution

    |

  6. The relation R={(1,1),(2,2),(3,3)} on the set {1,2,3} is

    Text Solution

    |

  7. (p ^^ ~q)^^(~p ^^ q) is

    Text Solution

    |

  8. Which of the following is not a proposition?

    Text Solution

    |

  9. Assuming that the sums and products given below are defined, which of ...

    Text Solution

    |

  10. In a DeltaABC if |(1,a,b),(1,c,a),(1,b,c)|=0 then Sin^(2)A+Sin^(2)B+...

    Text Solution

    |

  11. 7th term of an A.P. is 40. then the sum of the first 13 terms is

    Text Solution

    |

  12. The number of words that can be formed out of the letters of the word ...

    Text Solution

    |

  13. The sum of the coefficients in the expansion of (1+x-3x^(2))^(3148)

    Text Solution

    |

  14. The leat remainder when 17^(30) is divided by 5

    Text Solution

    |

  15. The coefficient of x^(32) in the expansion of (x^(4)-(1)/(x^(3)))^(15)...

    Text Solution

    |

  16. The line 3x-2y=k meets the circle x^(2)+y^(2)=4r^(2) at only one point...

    Text Solution

    |

  17. The limiting points of the coaxial system of circles x^(2)+y^(2)+2lamd...

    Text Solution

    |

  18. Which of the following is a point on the common chord of the circle x^...

    Text Solution

    |

  19. The directrix of the parabola x^(2)-4x-8y+12=0

    Text Solution

    |

  20. The locus of the point of intersection of the perpendicular tangents t...

    Text Solution

    |