Home
Class 8
MATHS
Show that the following cryptarithms d...

Show that the following cryptarithms does not have any solution: `A B x3 //C A B`

Text Solution

Verified by Experts

`0` is the only unit digit number, which gives the same `0` at the unit digit when multiplied by `3`.
So, the possible value of `B` is `0`.
Similarly, for `A` also, `0` is the only possible digit.
But then `A ,B` and `C ` will all be `0`.And if `A, B` and ` C `become `0`, these numbers cannot be of two-digit or three-digit.
Therefore, both will become a one-digit number.
Thus, there is no solution possible.
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

Solve the cryptarithm: 4\ x\ A B C= A B does not have any solution.

Solve the following cryptarithms: 3 7 A B // 9 A

Solve the following cryptarithms: (i) A B x6\\ B B B

Solve each of the following Cryptarithms: (iii) A1+1B B0

Find out the whether the following equations have any solutions: (a) |x|=x+5, (b) |x|=x-5?

(i) For which values of a and b does the following pair of linear equations have an infinite number of solutions? 2x + 3y = 7 (a - b)x + (a + b)y = 3a + b - 2 (ii) For which value of k will the following pair of linear equations have no solution? 3x + y = 1 (2k - 1)x + (k - 1)y = 2k + 1

(i) For which values of a and b does the following pair of linear equations have an infinite number of solutions? 2x+3y=7 (a b)x+(a+b)y=3a+b 2 (ii) For which value of k will the following pair of linear equations have no solution? 3x + y = 1 (2k – 1) x + (k – 1) y = 2k + 1

If sinh x=(e^(x)-e^(-x))/(2) then show that sinh(sin x)=2 does not have real solution

L_1=(a-b)x+(b-c)y+(c-a)=0L_2=(b-c)x+(c-a)y+(a-b)=0L_3=(c-a)x+(a-b)y+(b-c)=0 KAMPLE 6 Show that the following lines are concurrent L1 = (a-b) x + (b-c)y + (c-a) = 0 12 = (b-c)x + (c-a) y + (a-b) = 0 L3 = (c-a)x + (a-b) y + (b-c) = 0. ,

RD SHARMA-PLAYING WITH NUMBERS-All Questions
  1. If 3x2 is a multiple of 11, where x is a digit, what is the value of ...

    Text Solution

    |

  2. If 98215"x"2 is a number with "x" as its tens digit such that it is ...

    Text Solution

    |

  3. If x denotes the digit at hundreds place of the number 67"x"19 s...

    Text Solution

    |

  4. Find the remainder when 981547 is divided by 5. Do this without doi...

    Text Solution

    |

  5. Find the remainder when 51439786 is divided by 3. Do this without p...

    Text Solution

    |

  6. Find the remainder, without performing actual division, when 798 is...

    Text Solution

    |

  7. Without performing actual division, find the remainder when 9281746...

    Text Solution

    |

  8. Given an example of a number which is divisible by 2 but not by 4,...

    Text Solution

    |

  9. Which of the following statements are true? (a)If a number is divisibl...

    Text Solution

    |

  10. Solve the following cryptarithms: 3 7 +A B / 9 A

    Text Solution

    |

  11. Solve the cryptarithm : A B + B A =\ D A D \

    Text Solution

    |

  12. Solve the cryptarithm: O N +\ O N = G O

    Text Solution

    |

  13. Solve the cryptarithm: O N + O N + O N =\ G O

    Text Solution

    |

  14. Solve the cryptarithm : O N +\ O N + O N + O N = G O

    Text Solution

    |

  15. Solve the following cryptarithms: (i) A B x6\\ B B B

    Text Solution

    |

  16. Show that the following cryptarithms does not have any solution: A ...

    Text Solution

    |

  17. Solve the cryptarithm: B A x\ \ B3 5\ \ 7A

    Text Solution

    |

  18. Solve the cryptarithm: A B \ X\ A C =\ A C B

    Text Solution

    |

  19. Solve each of the following Cryptarithms: (iii) A1+1B B0

    Text Solution

    |

  20. Solve the cryptarithm: 4\ x\ A B C= A B does not have any solutio...

    Text Solution

    |