Home
Class 12
MATHS
the number of subgroups of the group (Z(...

the number of subgroups of the group `(Z_(5),o+_(5))` is

A

4

B

2

C

1

D

3

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • KARNATAKA CET 2008

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|60 Videos
  • KARNATAKA CET 2010

    KCET PREVIOUS YEAR PAPERS|Exercise Mathematics|60 Videos

Similar Questions

Explore conceptually related problems

The group (Z+) has ….

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

If the natural numbers are divided into the groups (1),(2,3),(4,5,6),(7,8,9,10) .. then the sum of the elements of 25^(th ) group is

The number of ovservations in a group is 40. If the average of first 10 is 4.5 and that of the remaining 30 is 3.5, then the average of the whole group is :

The sequence of odd natural numbers is divided into groups 1,3,5,7,9,11,"…." and so on. Show that the sum of the numbers in nth group is n^(3) .

The total number of isomeric ketones of the molecular formula C_(5)H_(10)O is :

The number of integral solutions of x+y+z=0 with xgeq-5,ygeq-5,zgeq-5 is

If A={x|x in N,xle5},B={x|x in Z,x^(2)-5x+6=0} , then the number of onto functions from A to B is

If A = {x|x inN, xle5}, B = {x|x in Z, x^(2) – 5x +6=0} , then the number of onto functions from A to B is

KCET PREVIOUS YEAR PAPERS-KARNATAKA CET 2009-MATHEMATICS
  1. In the group G={0,1,2,3,4,5} under addition moduel 6, (2o+(6)e^(-1)o+(...

    Text Solution

    |

  2. Which one of the following is not true?

    Text Solution

    |

  3. the number of subgroups of the group (Z(5),o+(5)) is

    Text Solution

    |

  4. The negation of p^^(1to ~r) is

    Text Solution

    |

  5. If n=|(2020), then 1/(log(2)n)+1/(log(3)n)+1/(log(4)n)+………..+1/(log...

    Text Solution

    |

  6. If n is a positive integer, then n^(3)+2n is divisible

    Text Solution

    |

  7. Let f:N rarr N defined by f(n)={{:((n+1)/(2) " if n is odd"),(n/2" ...

    Text Solution

    |

  8. If alpha and beta are the roots of x^(2)+x+1=0, then alpha^(16)+beta^(...

    Text Solution

    |

  9. The total number of terms in the expansion of (x+y)^(100)+(x-y)^(100) ...

    Text Solution

    |

  10. cot^(-1)(2.1^(2))+cot^(1)(2.2^(2))+cot^(-1)(2.3)^(2)+………… up to oo =

    Text Solution

    |

  11. If x takes negative permissible value, then sin^(-1)x is equal to

    Text Solution

    |

  12. If 1+sin x+sin^(2)x+…………… upto oo=4+2sqrt(3),0ltxltpi and x!=(pi)/2, t...

    Text Solution

    |

  13. The complex number (1+2i)/(1-i) lies in

    Text Solution

    |

  14. If P is the point in the Argand diagrma correspoinding to the complex ...

    Text Solution

    |

  15. The smallest positive integral value of n such that [(1+"sin"pi/8+i"co...

    Text Solution

    |

  16. Which one of the following is possible?

    Text Solution

    |

  17. If one side of a triangle is double the other and the angles opposite ...

    Text Solution

    |

  18. 3(sinx-cosx)^(4)+6(sinx+cosx)^(2)+4(sin^(6)x+cos^(6)x)=

    Text Solution

    |

  19. A cow is tied to a post by a rope. The cow moves along the circular pa...

    Text Solution

    |

  20. If |(1+sin^(2)theta, cos^(2)theta, 4 sin 2 theta),(sin^(2) theta, 1+co...

    Text Solution

    |