Home
Class 12
MATHS
A five digit number is formed but the di...

A five digit number is formed but the digits 1,2,3,4,5 without repetition. Find the probability that the number is divisible by 4.

A

`3/5`

B

`18/5`

C

`1/5`

D

`6/5`

Text Solution

Verified by Experts

The correct Answer is:
C
The number is divisible by 4, if last two digits are 12,24,32 and 52.
Remaining three places can be filled by 3~ ways.
`:.` Favourable cases `=3!xx4`
Required probability `=(3!xx4)/(5!)`
`=(3!xx4)/(5xx4xx3!)=1/5`
Promotional Banner

Topper's Solved these Questions

  • PRACTICE SET 12

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise Paper 2 (Mathematics)|50 Videos

  • PRACTICE SET 14

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise Paper 2 (Mathematics)|50 Videos

Similar Questions

Explore conceptually related problems

A five digit number is formed with the digits 1,2,3,4,5 without repetition.Find the probability that the number is divisible by 4 .

A five digit number is formed by the digits 1,2,3,4,5 without repetition.

A five-digit number is formed by the digit 1, 2, 3, 4, 5 without repetition. Find the probability that the number formed is divisible by 4.

A five digit number is formed by the digit 1,2,3,4 and 5 without repetition. Find the probability that the number formed is divisible by 4.

A five digit number is formed by using the digits 0,1,2,3,4 and 5 without repetition.The probability that the number is divisible by 6 is (m)/(100) then m is divisible by

A four digit number is formed using the digits 1, 2, 3, 5 with no repetitions. Write the probability that the number is divisible by 5.

MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-PRACTICE SET 13-PAPER II OBJECTIVE TYPE
  1. The shortest distance between the lines (x-3)/3=(y-8)/(-1)=(z-3)/1a...

    Text Solution

    |

  2. The switching function of network is

    Text Solution

    |

  3. A five digit number is formed but the digits 1,2,3,4,5 without repetit...

    Text Solution

    |

  4. If f(x)={sinx ,x!=npi,n in I2,ot h e r w i s e g(x)={x^2+1,x!=0,4,x=...

    Text Solution

    |

  5. If f(x)=log(x)(log(e)x), then f'(x)at x=e is equal to

    Text Solution

    |

  6. The value of lim(x->a)log(x-a)/(log(e^x-e^a) is

    Text Solution

    |

  7. if 2^x+2^y=2^(x+y) then the value of (dy)/(dx) at x=y=1

    Text Solution

    |

  8. intx^(3)log x dx is equal to

    Text Solution

    |

  9. The value of int(2)^(3)(x+1)/(x^(2)(x-1))dx is

    Text Solution

    |

  10. if |veca|=4, |vecb|=2 and the angle between veca and vecb is pi/6 th...

    Text Solution

    |

  11. The differential equation of the rectangular hyperbola whose axes are ...

    Text Solution

    |

  12. The statement pvv~p is

    Text Solution

    |

  13. If birth to amale child and birth to a femal child are equal probable,...

    Text Solution

    |

  14. If y=tan^(-1)[(sinx+cosx)/(cosx-sinx)] then (dy)/(dx) is

    Text Solution

    |

  15. The equation 12x^(2)+7xy-12y^(2)-18x+y+6=0 represents

    Text Solution

    |

  16. A focus of an ellipse is at the origin. The directrix is the line x=4 ...

    Text Solution

    |

  17. A parabola is drawn with focus at (3,4) and vertex at the focus of the...

    Text Solution

    |

  18. If a circle passes through (0,0) and (a,0) and (0,b), then the coordin...

    Text Solution

    |

  19. A line is drawn through the point P(3,11) to cut the circle x^(2)+y^(2...

    Text Solution

    |

  20. If the first, second and last terms of an arithmetic series are a,b, a...

    Text Solution

    |