Home
Class 14
MATHS
A two digit number is such that it is th...

A two digit number is such that it is the product of the two distinct perfect squares. The tens digit, unit digit and the sum of these two digits are in A.P. Further if we reverse the digits mutually, it increases by 27. The oringinal number is

A

72

B

19

C

36

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MENSURATION

    QUANTUM CAT|Exercise QUESTION BANK|449 Videos
  • PERCENTAGES

    QUANTUM CAT|Exercise QUESTION BANK|271 Videos

Similar Questions

Explore conceptually related problems

In a two-digit number, the tens digit is twice the units digit. If the sum of its digits is 9. Find the number

How many two digit numbers exist such that the product of two digit number and two digit number formed by reversing its digits end with 5.

A two digit number is such that the product of digit is 8. when 18 is added to the number, the digits are reversed.The number is:

A two digit number is such that the product of the digits is 14. When 45 is added to the number,then the digits are reversed.Find the number.

A number consists of two digits. The sum of the digits is 11, reversing the digits, the number deceases by 45, the number is :

A number consists of two digits. The sum of the digits is 11, reversing the digits, the number decreases by 45, the number is :

QUANTUM CAT-NUMBER SYSTEM-QUESTION BANK
  1. The number of zeros at the end of 100! Is :

    Text Solution

    |

  2. the greatest power of 3, when 41 ! Is expressed in prime factors :

    Text Solution

    |

  3. A two digit number is such that it is the product of the two distinct ...

    Text Solution

    |

  4. The value of the expression 7777 + 7777 xx 7777 xx (5 div 77) xx (1...

    Text Solution

    |

  5. The sum and difference of a number with it sreciprocal are 113/56 and ...

    Text Solution

    |

  6. If 4 is added to the numerator of fraction, it becomes 1/3 and if 3 is...

    Text Solution

    |

  7. In an opera house, there are 7777 chairs to be placed, but the organis...

    Text Solution

    |

  8. If p^r . P^(-1) . P^s = (sqrt(p^3))^(2) and p^(3//2).p^r = p^s.p^(-1//...

    Text Solution

    |

  9. If 5^(-k) = 1/t, then the value of 5^(3k) is equal to :

    Text Solution

    |

  10. 5^(x-1) + 5^x + 5^(x+1) = 775 then the value of x for every positive i...

    Text Solution

    |

  11. If a, b are two perfect square digits and ab is a two digit perfect sq...

    Text Solution

    |

  12. The greatest possible number which can always divide the sum of the cu...

    Text Solution

    |

  13. The least possible divisor of 25930800 by which we divide this number,...

    Text Solution

    |

  14. Arun and Prabhat have some books with them. Once Prabhat said to Arun ...

    Text Solution

    |

  15. The number of co-primers of 200 lying between 1 to 100 is :

    Text Solution

    |

  16. A soda water bottle is exactly filled with coke weighs 1600 gm but whe...

    Text Solution

    |

  17. If ab, cd, ba and dc are two digit numbers then the maximum value of (...

    Text Solution

    |

  18. In how many ways 12600 can be expressed as a product of two factors wh...

    Text Solution

    |

  19. The solution set of the expression 1/((1 + p)^n) = 1 is :

    Text Solution

    |

  20. The number of zeros at the end of (2^123-2^122-2^121)xx(3^234-3^233-3^...

    Text Solution

    |