Home
Class 11
MATHS
A three digit number whose consecutive d...

A three digit number whose consecutive digits from a G.P. If we subtract 792 from this number , we get a number consisting of the same digits written in the reverse order . Now if we increase the second digit of the required number by 2 , the resulting digits will from an A.P. find the number in the tenth place

Text Solution

Verified by Experts

3
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    PATHFINDER|Exercise QUESTION BANK|41 Videos

  • QUADRATIC EQUATION

    PATHFINDER|Exercise QUESTION BANK|19 Videos

Similar Questions

Explore conceptually related problems

The sum of the digits of number consisting of the digits is 8. If 18 is deducted from the number. The digits of the number interchange the places. Find the number

Assuming that no two consecutive digits are same, the number of n-digit numbers is-

The sum of two digits of a number consisting of two digits is 7 . If 27 is added to the number, the number of its digits are interchanged . Find the number.

The number of times of the digits 3 will be written when listing the integers from 1 to 1000 is

x is the unit place digit of number consisting of two digits and y is the tenth place digit .The number will be if the digits are interchanged .

The number of three-digit numbers having only two consecutive digits identical is

The sum of three numbers in G.P. is 56. If we subtract 1, 7, 21 from these numbers in that order, we obtain an arithmetic progression. Find the numbers.

The sum of three numbers in GP. is 56. If we subtract 1, 7, 21 from these numbers in that order, we obtain an arithmetic progression. Find the numbers.

The sum of the digits of a number consisting of two digits is 14 and if 29 is subtracted from the number, then two digits of the number becomes equal to each other. Find the number.

Find last three digits of the number 17^(256) .

PATHFINDER-PROGRESSION AND SERIES -QUESTION BANK
  1. If A, G and H are respectively arithmetic , geometric and harmonic mea...

    Text Solution

    |

  2. Let a1,a2 ,a3 ...... be an A.P. Prove that sum(n=1)^(2m)(-1)^(n-1)an^2...

    Text Solution

    |

  3. A three digit number whose consecutive digits from a G.P. If we subtra...

    Text Solution

    |

  4. If an denotes the coefficient of x^n in P(x) = (1 + x+ 2x^2 + 3x^3 +.....

    Text Solution

    |

  5. Two consecutive numbers from 1,2,3,.....,n are removed, then arithmeti...

    Text Solution

    |

  6. The value of xyz is 55 or 343/55 according as the sequence a, x, y, z,...

    Text Solution

    |

  7. If a, b, c are in HP and if ((a + b)/(2a - b)) + ((c + b)/(2c - b)) gt...

    Text Solution

    |

  8. If alpha1 , alpha2, ......, alphan are in A.P, whose common difference...

    Text Solution

    |

  9. 25 trees are plants in a straight line 5 metre apart from each other. ...

    Text Solution

    |

  10. The nth term of a series is given by tn = (n^5 + n^5)/(n^4 + n^2 + 1) ...

    Text Solution

    |

  11. If a1. a2 ....... an are positive and (n - 1) s = a1 + a2 +.....+an th...

    Text Solution

    |

  12. Find the sum to n terms of the series 1/(1 + 1^2 + 1^4) + 2/(1 + 2^2...

    Text Solution

    |

  13. Evaluate , S =sum(n = 0)^infty 2^n/(a^(2^n) + 1) (where a gt 1)

    Text Solution

    |

  14. Evaluate, sum(i = 0)^iinfty sum(j = 0)^infty sum(k = 0)^infty 1/(3^i c...

    Text Solution

    |

  15. If a, b, c, d are four distinct numbers in A.P. , show that 1/a + 1/d ...

    Text Solution

    |

  16. Let An = (3/4) -(3/4)^2 + (3/4)^3 +.....+(-1)^(n - 1) (3/4)^n , Bn = 1...

    Text Solution

    |

  17. Let the harmonic mean of two positive real numbers a and b be 4. If q ...

    Text Solution

    |

  18. Suppose that all the terms of an arithmetic progression (A.P) are natu...

    Text Solution

    |

  19. The sum of first 9 terms of the series 1^3/1 + (1^3 + 2^3)/(1 + 3) + (...

    Text Solution

    |

  20. If m is the A.M. of two distinct real number l and n(l , n gt 1) and G...

    Text Solution

    |