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

  • NUMBER SYSTEM

    DISHA PUBLICATION|Exercise Test Yourself|15 Videos
  • NUMBER SYSTEM

    DISHA PUBLICATION|Exercise Standard Level |45 Videos
  • MOCK TEST 2

    DISHA PUBLICATION|Exercise Multiple Choice Questions|20 Videos
  • PERCENTAGES

    DISHA PUBLICATION|Exercise PRACTICE EXERCISE (TEST YOURSELF)|15 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

DISHA PUBLICATION-NUMBER SYSTEM-Expert Level
  1. A prime number contains the digit X at unit's place. How many such dig...

    Text Solution

    |

  2. If N is natural number less than 100, then for how many values of N ar...

    Text Solution

    |

  3. What is the remainder when 2(8!)-21(6!) divides 14(7!)+14(13!)?

    Text Solution

    |

  4. For how many natural number values of N,N^(4)+4 will be a prime number...

    Text Solution

    |

  5. N=7777….7777, where the digit 7 repeats itself 429 times. What is the ...

    Text Solution

    |

  6. If xDelta(y+1)=yDelta(x+1), xDeltax=1 and (x-y)Delta(x+y)=(x-y)Del...

    Text Solution

    |

  7. The question given below is followed by two statements, A and B. Mark ...

    Text Solution

    |

  8. What is the remainder obtained when the sum of the squares of any thir...

    Text Solution

    |

  9. The sum of the digits of a four-digit number is 31. What fraction of s...

    Text Solution

    |

  10. A=k^(2)-1andB=(k+1)^(2)-1, where k is a natural number greater than 1....

    Text Solution

    |

  11. A = 28^12, B = 18^8 and C = 21^6. How many natural numbers are there b...

    Text Solution

    |

  12. The H.C.F. of a, b and c is 8. If a-b=b-c=8 and the L.C.M. of a, b and...

    Text Solution

    |

  13. P=b^(2)c^(2)-ac-bd where a, b, c and d, in that order, are four ocnsec...

    Text Solution

    |

  14. What digit does "a" represent, if 35! = 10333147966386144929a6665133...

    Text Solution

    |

  15. If p is a prime number and w, x, y, z are four natural numbers whose s...

    Text Solution

    |

  16. N=a^(4)+b^(4)+c^(4)+d^(4)… till 31 terms, where a, b, c, d etc. are di...

    Text Solution

    |

  17. N=70!xx69!xx68!xx….3!xx2!xx1! Which of the following represents the ...

    Text Solution

    |

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

    Text Solution

    |

  19. What will be the value of x for ((100^(17)-1)+(10^(34)+x))/(9), the re...

    Text Solution

    |

  20. P, Q, R, S and T are five prime numbers, where PltQltRltSltT. It is gi...

    Text Solution

    |