Home
Class 12
MATHS
The sum of all two digit natural numbers...

The sum of all two digit natural numbers which leave a remainder 5 when they are divided by 7 equal to

A

715

B

702

C

615

D

602

Text Solution

Verified by Experts

The correct Answer is:
B
Required two digit numbers are 12,19,. . .,96 which leave a remainer 5 when they are divided by 7.
Here, `a=12,d=7,l=96`
`thereforel=a+(n-1)d`
`implies96=12+7(n-1)`
`impliesn=13`
`thereforeS_(13)=(13)/(2)(12+96)`
`=(13xx108)/(2)=702`
Promotional Banner

Topper's Solved these Questions

  • PRACTICE SET 04

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise PAPER 2 (MATHMATICS)|50 Videos

  • PRACTICE SET 06

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise PAPER 2 (MATHEMATICS)|50 Videos

Similar Questions

Explore conceptually related problems

The sum of all two digit numbers each of which leaves remainder 3 when divided by 5 is :

Find the sum of all 3 digit numbers which leave remainder 3 when divided by 5 .

Find the sum of all three-digit numbers which leave a remainder 2, when divided by 6.

Find the sum of the all the three digit numbers, which leave the remainder 2 when divided by 5.

Find the middle term of the sequence formed by all three-digit numbers which leave a remainder 3, when divided by 4. Also find the sum of all numbers on both sides of the middle terms separately

Sum of all two digit numbers divisible by 7 leaves remainder 2 or 5 is

Find the sum of all two digit natural numbers which when divided by 3 yield 1 as remainder .

MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-PRACTICE SET 05-Paper 2 (Mathematics)
  1. If y=sec^(-1)((x+1)/(x-1))+sin^(-1)((x-1)/(x+1)),x > 0. Find (dy)/(dx)...

    Text Solution

    |

  2. lim(x to 0) ((1+logx-x)/(1-2x+x^(2)) is equal to

    Text Solution

    |

  3. Let f(x)={{:(0,x lt 0),(x^(2),xge0):}, then for all values of x

    Text Solution

    |

  4. For a random variable X, E(X)=3 and E(X^2)=11 Then, variance of X is

    Text Solution

    |

  5. int0^pix/(a^2cos^2x+b^2sin^2x)dx

    Text Solution

    |

  6. If (d^(2)y)/(dx^(2))+sinx=0, then the solution of differential equatio...

    Text Solution

    |

  7. int(a^(x//2))/(sqrt(a^(-x)-a^(x)))dx is equal to

    Text Solution

    |

  8. if x=loge t , t > 0 and y+1=t^2 then (d^2y)/(dx^2)

    Text Solution

    |

  9. The line perpendicular to the plane 2x-y+5z=4 passing through the poin...

    Text Solution

    |

  10. If in DeltaABC, a=2b and A=3B, then A is equal to

    Text Solution

    |

  11. cot^(-1)((alpha)/(2))-tan^(-1)(sqrt(cosalpha))=x, then sin x is equal ...

    Text Solution

    |

  12. The solution of differential equation (1+x)ydx+(1-y)xdy=0 is

    Text Solution

    |

  13. If int(log" "2)^(x)(du)/((e^(u)-1)^(1//2))=(pi)/(6), then e^(x) is equ...

    Text Solution

    |

  14. If tangent tto the curve x=at^(2),y=2at is perpendicular to X-axis, th...

    Text Solution

    |

  15. Three numbers are chosen from 1 to 20. Find the probability that they ...

    Text Solution

    |

  16. The general solution of |sinx|=cosx is (When ninz) given by

    Text Solution

    |

  17. The equation of the tangent from the point (0, 1) to the circle x^2+y^...

    Text Solution

    |

  18. The sum of first 8 terms of the geometric series 2+6+18+54+ . . . Is

    Text Solution

    |

  19. The sum of all two digit natural numbers which leave a remainder 5 whe...

    Text Solution

    |

  20. if cosA=m cos B and cot((A+B)/(2))=lamda. tan((B-A)/(2)) then lamda is...

    Text Solution

    |