Home
Class 11
MATHS
Find the sum of integers from 1 to 100 ...

Find the sum of integers from 1 to 100 that are divisible by 2 or 5.

Text Solution

AI Generated Solution

To find the sum of integers from 1 to 100 that are divisible by 2 or 5, we can use the principle of inclusion-exclusion. Here’s a step-by-step solution: ### Step 1: Identify the sets Let: - \( A \) be the set of integers from 1 to 100 that are divisible by 2. - \( B \) be the set of integers from 1 to 100 that are divisible by 5. We want to find the sum of the elements in \( A \cup B \). ...
Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    NCERT|Exercise EXERCISE 9.4|10 Videos

  • SEQUENCES AND SERIES

    NCERT|Exercise EXERCISE 9.2|18 Videos

  • SEQUENCES AND SERIES

    NCERT|Exercise EXERCISE 9.5|6 Videos

  • RELATIONS AND FUNCTIONS

    NCERT|Exercise EXERCISE 2.3|5 Videos

  • SETS

    NCERT|Exercise EXERCISE 1.5|7 Videos

Similar Questions

Explore conceptually related problems

The sum of integers from 1 to 100 that are divisible by 2 or 5 is

The sum of intergers from 1 to 100 that are divisible by 2 or 5 is -

Find the sum of odd integers from 1 to 2001

Find the sum of all integers from 1to 1001.

Find the sum of odd integers from 1 to 2001.

The sum of the integers from 1 to 100 which are not divisible by 3 or 5 is

NCERT-SEQUENCES AND SERIES-MISCELLANEOUS EXERCISE
  1. Show that (1xx2^2+2xx3^2+......+nxx(n+1)^2)/(1^2xx2+2^2xx3+......+n^2x...

    Text Solution

    |

  2. Find the sum of the following series up to n terms : (1^3)/1+(1^3+2^2...

    Text Solution

    |

  3. If S1,S2,S3are the sum of first n natural numbers, their squares and ...

    Text Solution

    |

  4. A G.P. consists of an even number of terms. If the sum of all the ter...

    Text Solution

    |

  5. If a\ (1/b+1/c),\ b(1/c+1/a),\ c(1/a+1/b) are in A.P. prove that a ,\ ...

    Text Solution

    |

  6. If a, b, c, d are in G.P., prove that (a^n+b^n),(b^n+c^n),(c^n+a^n)ar...

    Text Solution

    |

  7. Let S be the sum, P the product and R the sum of reciprocals of n term...

    Text Solution

    |

  8. The p^(t h),q^(t h)and r^(t h)terms of an A.P. are a, b, c, respectiv...

    Text Solution

    |

  9. The sum of the first four terms of an A.P. is 56. The sum of the last...

    Text Solution

    |

  10. If (a+b x)/(a-b x)=(b+c x)/(b-c x)=(c+dx)/(c-dx)(x!=0),then show that...

    Text Solution

    |

  11. The sum of three numbers m GP is 56. If we subtract 1.7,21 from these...

    Text Solution

    |

  12. If a\ a n d\ b are the roots of x^2-3x+p=0\ a n d\ c ,\ d are the root...

    Text Solution

    |

  13. The ratio of the A.M. and G.M. of two positive numbers a and b, is m ...

    Text Solution

    |

  14. Show that the sum of (m+n)^(t h)and (m-n)^(t h)terms of an A.P. is eq...

    Text Solution

    |

  15. Let the sum of n, 2n, 3n terms of an A.P. be S1,S2and S3, respectively...

    Text Solution

    |

  16. Find the sum of integers from 1 to 100 that are divisible by 2 or 5.

    Text Solution

    |

  17. Find the sum of all numbers between 200 and 400 which are divisible b...

    Text Solution

    |

  18. If f is a function satisfying f(x+y)=f(x)f(y)for all x ,y in Xsuch t...

    Text Solution

    |

  19. Find the sum of all two digit numbers which when divided by 4, yields...

    Text Solution

    |

  20. The first term of a G.P. is 1. The sum of the third term and fifth te...

    Text Solution

    |