Home
Class 12
MATHS
11^(3)+12^(3)+13^(3)+………….+20^(3) is...

`11^(3)+12^(3)+13^(3)+………….+20^(3)` is

A

divisible by 5

B

an odd integer divisible by 5

C

an even integer not divisible by 5

D

an odd integer which is not divisible by 5

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • PROGRESSIONS

    ML KHANNA|Exercise MISCELLANEOUS EXERCISE (MATCHING ENTRIES) |4 Videos
  • PROGRESSIONS

    ML KHANNA|Exercise MISCELLANEOUS EXERCISE (ASSERTION/REASON) |1 Videos
  • PROGRESSIONS

    ML KHANNA|Exercise PROBLEM SET - 5 (FILL IN THE BLANKS) |2 Videos
  • PROBABILITY

    ML KHANNA|Exercise MISCELLANEOUS EXERCISE|6 Videos
  • PROPERTIES OF TRIANGLES

    ML KHANNA|Exercise Self Assessment Test (Multiple Choise Questions)|34 Videos

Similar Questions

Explore conceptually related problems

11^(3)+12^(3)+...+20^(3) is divisible by

If (x)/(a)=(y)/(b)=(z)/(c) , then prove that each ratio is equal to ((3x^(3)-11y^(3)+13z^(3))/(3a^(3)-11b^(3)+13c^(3)))^((1)/(3))

x^(3)-13x-12

Check if lines with direction-cosines : lt (12)/(13) , - (3)/(13) , - (4)/(13) gt , lt (4)/(13) , (12)/(13), (3)/(13) gt , lt (3)/(13) , (4)/(13) , (12)/(13) gt are mutually perpendicular .

Find the value of 11^3 + 12^3 +...+ 20^3 .

13-(12-6-:3)= ?

Simplify: 1/(1+(2/3)/(1+2/3+(8/9)/(1-2/3))) . (11)/(13) (b) (13)/(15) (c) (13)/(11) (d) (15)/(13)

ML KHANNA-PROGRESSIONS -SELF ASSESSMENT TEST
  1. If H be the harmonic mean between x and y, then show that (H+x)/(H-x)+...

    Text Solution

    |

  2. In a H.P., p^(th) term is q and q^(th) term is p then pq^(th) term is

    Text Solution

    |

  3. The harmonic mean of (a)/(1 - ab) and (a)/(1 + ab) is

    Text Solution

    |

  4. If b^(2), a^(2), c^(2) are in A.P., then a + b, b + c, c + a will be i...

    Text Solution

    |

  5. If (x + y)/(2), y ,(y + z)/(2) are in H.P., then x, y, z are in

    Text Solution

    |

  6. If a,b,c are in A.P., then 2^(ax+1),2^(bx+1),2^(cx+1), x in R, are in

    Text Solution

    |

  7. If a, ,b c, are in G.P., then log(a) n, log(b) n, log(c) n are in

    Text Solution

    |

  8. For all ngeq1, prove that 1/(1. 2)+1/(2. 3)+1/(3. 4)+dotdotdot+1/(n(n+...

    Text Solution

    |

  9. The value of underset(i=1)overset(n)sumunderset(j=1)overset(i)sumunde...

    Text Solution

    |

  10. 11^(3)+12^(3)+13^(3)+………….+20^(3) is

    Text Solution

    |

  11. For any integer n ge 1, the sum sum(k=1)^(n) k (k + 2) is equal to

    Text Solution

    |

  12. Find the sum of first n terms of the series 1^(3) + 3^(3) + 5^(3) +…

    Text Solution

    |

  13. If the sum of first n terms of an AP is cn^(2), then the sum of square...

    Text Solution

    |

  14. A man saves Rs. 200 in each of the first three months of his service. ...

    Text Solution

    |

  15. If 100 times the 100th term of an AP with non-zero common difference e...

    Text Solution

    |

  16. Let a(1),a(2),a(3), . . . be a harmonic progression with a(1)=5anda(20...

    Text Solution

    |

  17. Let a1, a2, a3, ,a(100) be an arithmetic progression with a1=3a n dsp...

    Text Solution

    |

  18. Let S(k), where k = 1,2,....,100, denotes the sum of the infinite geom...

    Text Solution

    |

  19. Le a1, a2, a3, ,a(11) be real numbers satisfying a2=15 , 27-2a2>0a n ...

    Text Solution

    |

  20. The sum of first 20 terms of the sequence 0.7,0.77,0.777,"……" is

    Text Solution

    |