Home
Class 12
MATHS
The number of divisors of 3630, which ha...

The number of divisors of 3630, which have a remainder of 1 when divided by 4, is

A

12

B

6

C

4

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
b
Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS & COMBINATIONS

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (OBJECTIVE) LEVEL II|23 Videos

  • PERMUTATIONS & COMBINATIONS

    FIITJEE|Exercise COMPREHENSIONS|9 Videos

  • PERMUTATIONS & COMBINATIONS

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (SUBJECTIVE) LEVEL -II|15 Videos

  • PARABOLA

    FIITJEE|Exercise NUMERICAL BASED|5 Videos

  • PROBABILITY

    FIITJEE|Exercise Exercise 7|2 Videos

Similar Questions

Explore conceptually related problems

The number of divisors of 3630, which have a remainder of 1when divided by 4, is

A number when divided by a divisor leaves a remainder of 5and when divided divisor leaves a remainder of 45. Find the divisor

The least number which when divided by 35 leaves a remainder 25, when divided by 45 leaves the remainder 35 and when divided by 55 leaves 45 is

A number when divided by a divisor leaves a remainder of 27. Twice the number divided by the same divisor leaves a remainder of 3. Find the divisor?

A number when divided by 10 leaves a remiander 9, when divided by 9 leaves a remainder 8, when divided by 8 leaves a remainder 7 ............ When divided by 2 leaves a remainder 1. Determine the number.

A number when divided by 49 leaves 32 as remainder. This number when divided by 7 will have the remainder as

FIITJEE-PERMUTATIONS & COMBINATIONS-ASSIGNMENT PROBLEMS (OBJECTIVE) LEVEL I
  1. 4 points out of 8 points in a plane are collinear. Number of different...

    Text Solution

    |

  2. Find the three-digit odd numbers that can be formed by using the digit...

    Text Solution

    |

  3. The number of divisors of 3630, which have a remainder of 1 when divid...

    Text Solution

    |

  4. The number of ways in which 15 boys and 2 girls can sit in a row such ...

    Text Solution

    |

  5. The number of rational numbers p/q, where p, q in [1,2,3, 4,5, 6} is

    Text Solution

    |

  6. Let S={1,2,3,....., 100}. The number of non-empty subsets A of S such ...

    Text Solution

    |

  7. On a railway there are 20 stations. The number of different tickets re...

    Text Solution

    |

  8. .^(n)C(r)+2.^(n)C(r-1)+.^(n)C(r-2)=

    Text Solution

    |

  9. How many different nine digit numbers can be formed from the numebr 22...

    Text Solution

    |

  10. A seven-digit number without repetition and divisible by 9 is to be...

    Text Solution

    |

  11. The number of ordered pairs (m,n)(m,n epsilon {1,2,……..20}) such that ...

    Text Solution

    |

  12. The number of arrangements of the letters of the word BANANA in whi...

    Text Solution

    |

  13. The number of positive integral solutions of the equation x(1)x(2)x(3)...

    Text Solution

    |

  14. The number of permutations of the letters a,b,c,d,e,f,g such that neit...

    Text Solution

    |

  15. The number of non-negative integral solutions of x1+x2+x3+4x4=20 is

    Text Solution

    |

  16. The number of ordered triplets, positive integers which are solutions ...

    Text Solution

    |

  17. The number of numbers less than 1000 than can be formed out of the dig...

    Text Solution

    |

  18. The number of ways in which a committee of 3 women and 4 men be chosen...

    Text Solution

    |

  19. The sum of digits in the units place of all numbers formed with the...

    Text Solution

    |

  20. Two numbers are chosen from 1,3,5,7,…147, 149 and 151 multiplied toget...

    Text Solution

    |