Home
Class 14
MATHS
Let x be the least number divisible by 1...

Let x be the least number divisible by 16, 24, 30, 36 and 45, and x is also a perfect square. What is the remainder when x is divided by 123?

A

103

B

33

C

100

D

40

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • INSTALLMENT

    GAGAN PRATAP |Exercise MULTIPLE CHOICE QUESTIONS|29 Videos
  • MIXTURE

    GAGAN PRATAP |Exercise Questions|54 Videos

Similar Questions

Explore conceptually related problems

What is the least number divisible by 16, 20 and 24?

Find the remainder when x^(45), is divided by x^(2)-1

What is the least number which is exactly divisible by 8, 9, 12, 15 and 18 and is also a perfect square?

The remainder when x^(45) is divided by x^(2) -1 is

If a number is divided by 30 then it leaves 17 as a remainder. What will be the remainder when the same number is divided by 10?

What is the sum of digits of the least number which when divided by 21, 28, 30 and 35 leaves the same remainder 10 in each case but is divisible by 17?

When a polynomial f(x) is divisible by x-3 and x+6, the respective remainders are 7 and 22. What is the remainder when f(x) is divided by (x-3)(x+6) ?

Let x be the least number which when divided by 10, 12, 14 and 16 leaves the remainders 2, 4, 6 and 8, respectively, but x is divisible by 17. Whenx is divided by 52, the quotient is:

GAGAN PRATAP -LCM (LEAST COMMON MULTIPLE)-Multiple Choice Questions
  1. The least number which is exactly divisible by 5, 6, 8, 10 and 12 is :...

    Text Solution

    |

  2. Find the least perfect square number which is completely divisible by ...

    Text Solution

    |

  3. Let x be the least number divisible by 16, 24, 30, 36 and 45, and x is...

    Text Solution

    |

  4. The greatest number of 5 digits that is exactly divisible by each of 8...

    Text Solution

    |

  5. The least number of 5-digits which exactly divided by 52, 56, 78 and 9...

    Text Solution

    |

  6. The number between 22000 and 23000that is divisible by each of 12,18,2...

    Text Solution

    |

  7. Find the sum of ten's and hundred's place digit of smallest number whi...

    Text Solution

    |

  8. The greatest number of six digits which gives remainder 10 when divide...

    Text Solution

    |

  9. The least number of 5-digits which is divisible by 45, 60, 75 and 120 ...

    Text Solution

    |

  10. Let, x be the smallest number, which when added to 2000 makes the resu...

    Text Solution

    |

  11. If a positive integer .n. is divisible by 3, 5, and 7, then what is th...

    Text Solution

    |

  12. Let x be the least numbers, which when divided by 5, 6, 7 and 8 lea...

    Text Solution

    |

  13. Find the least number which when divided by 12, 18, 24 and 30 leaves 4...

    Text Solution

    |

  14. What is the sum of digit of the least number which when divided by 12,...

    Text Solution

    |

  15. Let x be the least number divisible by 13, such that when x is divide...

    Text Solution

    |

  16. Let x be the least 4-digit number which when divided by 2,3,4,5,6 and ...

    Text Solution

    |

  17. What is the sum of the smallest number of digits, which divides by 15,...

    Text Solution

    |

  18. When 12,16,18,20 and 25 divide the least number x, the remainder in ea...

    Text Solution

    |

  19. Let x be the least number which when divided by 15,18,20 and 27, the r...

    Text Solution

    |

  20. M is the largest 4 digit number which when divided by 4, 5, 6 and ...

    Text Solution

    |