Home
Class 11
MATHS
Number of divisors of the form 4n+2(nge0...

Number of divisors of the form `4n+2(nge0)` of the integer 240 is

A

4

B

8

C

10

D

3

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PARABOLA, ELLIPSE AND HYPERBOLA

    PATHFINDER|Exercise QUESTION BANK|66 Videos

  • PERMUTATION AND COMBINATIONS

    PATHFINDER|Exercise QUESTION BANK|81 Videos

Similar Questions

Explore conceptually related problems

The total number of divisor of 480 that are of the form 4n+2,ngeq0, is equal to a. 2 b. 3 c. 4 d. none of these

Let A(−4,0) , B(4,0) & C(x,y) be points on the circle x^2 + y^2 = 16 such that the number of points for which the area of the triangle whose vertices are A, B and C is a positive integer, is N then the value of [N/7] is, where [⋅] represents greatest integer function.

The number of divisors of 2^2 cdot 3^3 cdot 5^5 cdot 7^5 of the form 4n + 1, n in N is

Show that every positive even integer is of the form 2q, and that every positive odd integer is of the form 2q + 1, where q is some integer.

Let d(n) denote the number of divisors of n inciuding 1 and iteslf . Then d(225), d(1125) and d(640) are

Let d (n) denote the number of divisors of n including 1 and itself . Then d (225), d(1125) and d (640) are -

Let d(n) denotes the number of divisors of n including 1 and itself. Then d(225), d(1125) and d(640) are

A five digit number divisible by 3 is to be formed using the numerals 0, 1, 2, 3, 4, & 5 without repetition . if the total number of ways in which this can be done is n^3 , then (n!)/144 must be...

Find the number of divisors of the number N=2^3 .3^5 .5^7 .7^9 which are perfect squares.

The number of even divisor of the number N=12600=2^3 3^2 5^2 7 is a. 72 b. 54 c. 18 d. none of these

PATHFINDER-PERMUTATION AND COMBINATION-QUESTION BANK
  1. The total number of five digit numbers of different digits in which th...

    Text Solution

    |

  2. The number of ways in which 7 persons can be seated at a round table i...

    Text Solution

    |

  3. Number of divisors of the form 4n+2(nge0) of the integer 240 is

    Text Solution

    |

  4. Total number of words formed by using 2 vowels and 3 consonants taken ...

    Text Solution

    |

  5. If 5 parallel straight lines are intersected by 4 parallel straight li...

    Text Solution

    |

  6. Everybody in a room shakes hand with everybody else the total number o...

    Text Solution

    |

  7. Given that n is the odd the number of ways in which three numbers in A...

    Text Solution

    |

  8. The total number of numbers that can be formed by using all the digits...

    Text Solution

    |

  9. The number of arrangements two letters of the word BANANA in which two...

    Text Solution

    |

  10. The maximum number of points of intersection of 8 straight lines is

    Text Solution

    |

  11. The letters of the word COCHIN are permuted and all the permutations a...

    Text Solution

    |

  12. Two straight lines intersected at a point O.points A1,A2….An are taken...

    Text Solution

    |

  13. A five digit number divisible by 3 has to formed using the numerals 0,...

    Text Solution

    |

  14. 4 points out of 8 points in a plane are collinear number of different ...

    Text Solution

    |

  15. A rectangle with sides 2m-1 and 2n-1 divided into squares of unit leng...

    Text Solution

    |

  16. If a,b,c in N the number of points having position vector ahati+bhatj+...

    Text Solution

    |

  17. A function is defined as f:{a1,a2,a3,a4,a5,a6}rarr{b1,b2,b3} then numb...

    Text Solution

    |

  18. Let A =(x1,x2,x3,x4,x5,x6}B={y1,y2,y3,y4,y5,y6} then the number of one...

    Text Solution

    |

  19. A function is defined as f:{a1,a2,a3,a4,a5,a6}rarr{b1,b2,b3} then numb...

    Text Solution

    |

  20. A person goes two for an examination in which there are four papers wi...

    Text Solution

    |