Home
Class 11
MATHS
If a seven digit number made up of all d...

If a seven digit number made up of all distinct digits 8,7,6,4,2,x and y is divisible by 3 then

A

maximum value of x-y is 9

B

maximum value of x+yis 12

C

minimum value of xy is0

D

minimum value of x+yis3

Text Solution

Verified by Experts

The correct Answer is:
A, B, C, D
Promotional Banner

Topper's Solved these Questions

  • PARABOLA, ELLIPSE AND HYPERBOLA

    PATHFINDER|Exercise QUESTION BANK|66 Videos
  • PERMUTATION AND COMBINATIONS

    PATHFINDER|Exercise QUESTION BANK|81 Videos

Similar Questions

Explore conceptually related problems

If a seven-digit number made up of all distinct digits 8, 7, 6, 4, 2, x and y divisible by 3, then (A) Maximum value of x-y is 9 (B) Maximum value of x+y is 12 (C) Minimum value of xy is 0 (D) Minimum value of x+y is 3

If the probability of a six digit number N whose six digit sare 1,2,3,4,5,6 written as random order is divisible by 6 is p , then the value of 1//p is__________.

How many 6-digit numbers can be formed from the digits 0, 1, 3, 5, 7 and 9 which are divisible by 10 and no digit is repeated ?

How many numbers of 5 digits can be made with the digits 0,1,2,3,4,5 which are divisible by 3, digits being unrepeated in the same number ? How many of these will be divisible by 6 ?

How many 3-digit even numbers can be made using the digits 1,2,3,4, 6, 7, if no digit is repeated?

How many two digit numbers are divisible by 3 ?

The sum of all the numbers of four different digits that can be made by using the digits 0, 1, 2, and 3 is a. 26664 b. 39996 c. 38664 d. none of these

How many three-digit numbers are divisible by 7?

The number of different seven digit numbers that can be written using only the three digit 1, 2 and 3 with the condition that the digit 2 occurs twice in each number is

Statement 1: Total number of five-digit numbers having all different digit divisible by 4 can be formed using the digits {1,3,2,6,8,9} is 192. Statement 2: A number is divisible by 4, if the last two digits of the number are divisible by 4. (a) Statement 1 and Statement 2, both are correct. Statement 2 is the correct explanation for Statement 1 (b) Statement 1 and Statement 2, both are correct. Statement 2 is not the correct explanation for Statement 1 (c) Statement 1 is correct but Statement 2 is not correct. (d) Both Statement 1 and Statement 2 are not correct.

PATHFINDER-PERMUTATION AND COMBINATION-QUESTION BANK
  1. There are n seats round a table marked 1,2,3,…..n the number of ways i...

    Text Solution

    |

  2. The number of ways in which 10 candidates A1,A2,….A10 can be ranked so...

    Text Solution

    |

  3. If a seven digit number made up of all distinct digits 8,7,6,4,2,x and...

    Text Solution

    |

  4. The number of ways of choosing four letters from the letters of the wo...

    Text Solution

    |

  5. Ten persons amongst whom are A,B and C are to speak at a function the ...

    Text Solution

    |

  6. (10!)=(2)^p.(3)^q.(5)^r.(7)^8 then

    Text Solution

    |

  7. if n objects are arranged in a row then the number of ways of selectin...

    Text Solution

    |

  8. Different words are being formed by arranging the letters of the word ...

    Text Solution

    |

  9. Different words are being formed by arranging the letters of the word ...

    Text Solution

    |

  10. Let p be a prime number and n be a positive integer then exponent of p...

    Text Solution

    |

  11. Let p be a prime number and n be a positive integer then exponent of p...

    Text Solution

    |

  12. No.of ways to distribute n balls into r boxes is

    Text Solution

    |

  13. Match List - I with List - II

    Text Solution

    |

  14. The least value of n for which ^(n-1)c3+^(n-1)c4gt ^nc3 is

    Text Solution

    |

  15. The letters of the word 'SALOON' are arranged in all possible ways the...

    Text Solution

    |

  16. number of words that can be formed with the letters of the word ALGEBR...

    Text Solution

    |

  17. The sum of the digits in the tenth place of all numbers formed with th...

    Text Solution

    |

  18. The letters of the word PATNA are arranged in all possible ways as in ...

    Text Solution

    |

  19. The number of words can be formed with the letters of the word PATALIP...

    Text Solution

    |

  20. The number of integral solutions of a+b+c=0 ,age(-5),bge(-5),cge(-5) i...

    Text Solution

    |