Home
Class 14
MATHS
If the integers m and n are chosen at ra...

If the integers m and n are chosen at random between 1 and 100, then atmost distinct numbers of the form `7^m + 7^n` is divisible by 5 equals to :

A

1250

B

10000

C

2500

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MENSURATION

    QUANTUM CAT|Exercise QUESTION BANK|449 Videos
  • PERCENTAGES

    QUANTUM CAT|Exercise QUESTION BANK|271 Videos

Similar Questions

Explore conceptually related problems

If the integers m and n are chosen at random between 1 and 100, then the probability that a number of the form 7^(m) + 7^(n) is divisible by 5, equals :

If the integers m and n are chosen at random between 1 and 100, then the probability that a number of the form 7^(m)+7^(n) is divisible by 5, equals (a) (1)/(4) (b) (1)/(7) (c) (1)/(8) (d) (1)/(49)

An integer is chosen at random between 1 and 100. Find the probability that chosen number is divisible by 10

An integer is chosen at random between 1 and 100. Find the probability that the chosen number is divisible by 10.

An integer is chosen at random between 1 and 100. Find the probability that it is : divisible by 8

An integer is chosen at random between 1 and 100. Find the probability that it is : not divisible by 8

If two distinct numbers m and n are chosen at random form the set {1, 2, 3, …, 100}, then find the probability that 2^(m) + 2^(n) + 1 is divisible by 3.

An integer is chosen at random between 1 and 100 .Find the probability that it is (i) divisible by 8 (ii) not divisible by 8

Two numbers a and b are chosen at random from the set {1,2,3,..,5n}. The probability that a^(4)-b^(4) is divisible by 5, is

QUANTUM CAT-NUMBER SYSTEM-QUESTION BANK
  1. Let n > 1, be a positive integer. Then the largest integer m, such tha...

    Text Solution

    |

  2. Number of divisors of the form 4n + 2, n ge 0 which can divide 240 is ...

    Text Solution

    |

  3. If the integers m and n are chosen at random between 1 and 100, then a...

    Text Solution

    |

  4. If a, b, c, d are are positive real numbers such that a+b+c+d=2, then ...

    Text Solution

    |

  5. A corrupt country receives some educational grant from the UNESCO is t...

    Text Solution

    |

  6. In a far land of Lootokhao, an empowered group of ministers was suppos...

    Text Solution

    |

  7. A man sells an article at a gain of 25%. If he had bought it at 20% le...

    Text Solution

    |

  8. During a counter insurgency operation, three paramilitary troops A,B a...

    Text Solution

    |

  9. Is there any film you have seen or novel you have read with a similar ...

    Text Solution

    |

  10. Is there any film you have seen or novel you have read with a similar ...

    Text Solution

    |

  11. If you want to save money you must get rid of shopping.

    Text Solution

    |

  12. For every natural number a, b, c and x, if (x^a+1)(x^b+1)(x^c+1) is th...

    Text Solution

    |

  13. Find the value of k, if 15!=1k07674368000

    Text Solution

    |

  14. A monkey wants to climb up a pole of 50 metre height. He first climbs ...

    Text Solution

    |

  15. At which sum, the simple interest at the rate of 3¼ per annum will be ...

    Text Solution

    |

  16. The tens digit of the 2^(248) is :

    Text Solution

    |

  17. For a community marriage 300 boys and 300 girls gathered for their mar...

    Text Solution

    |

  18. The 444th term of the following sequences 1, 2, 3, 10, 11, 12 ,13,20, ...

    Text Solution

    |

  19. If P = 3[x] + 5 and Q = 4[x + 3] + 6 and P : Q = 1 : 2, where [x] is t...

    Text Solution

    |

  20. The maximum possible value of a+b+c+d will be where (a+b)=c (b+c)=d, (...

    Text Solution

    |