Home
Class 12
MATHS
Consider N=2520...

Consider `N=2520`

A

Number of even divisors of N is 36

B

Number of odd divisors of N is 11

C

Number of divisors which are multiple of 10 is 18

D

number of divisors which are multiple of 4 but not of 6 is 16

Text Solution

Verified by Experts

The correct Answer is:
A, C
`N=2520=2^(3)xx3^(2)5xx7`
(i) No. if even divisors`=(3)xx(3)xx(2)xx(2)=36`
(ii). No. of odd divisors`=(3)xx(2)xx(2)=12`
(iii). No. of divisors multiple of `10=(3)xx(3)xx(1)xx(2)=18`
(iv). No. of divisors multiple of 4 but not `6=(2)xx(2)xx(2)=8`
Promotional Banner

Topper's Solved these Questions

  • TEST PAPERS

    RESONANCE ENGLISH|Exercise PART : 1MATHEMATICS SEC - 1|1 Videos

  • TEST PAPERS

    RESONANCE ENGLISH|Exercise PART : 1MATHEMATICS|9 Videos

  • TEST PAPER

    RESONANCE ENGLISH|Exercise MATHEMATICS|48 Videos

  • TEST SERIES

    RESONANCE ENGLISH|Exercise MATHEMATICS|132 Videos

Similar Questions

Explore conceptually related problems

Let Y = {n^2: n in N} in N . Consider f : N ->Y as f(n)=n^2 . Show that f is invertible. Find the inverse of f.

Let Y = {n^2: n in N} in N . Consider f : N ->Y as f(n)=n^2 . Show that f is invertible. Find the inverse of f.

Consider f(x) = lim_(x-oo)(x^n-sinx^n)/(x^n+sinx^n) for x>0,x!=1,f(1)=0 then

Give examples of two functions f:" "N->Z" "a n dg:" "Z->Z such that o f is injective but is not injective. (Hint: Consider f(x)" "=" "x" "a n d""""""""g(x)" "=" "|x| )

Consider f : N ->N , g : N ->N and h : N ->R defined as f (x) = 2x , g (y) = 3y + 4 and h (z) = sin z , AA x, y and z in N. Show that ho(gof ) = (hog) of.

Consider f : N ->N , g : N ->N and h : N ->R defined as f (x) = 2x , g (y) = 3y + 4 and h (z) = s in z , AA x, y and z in N. Show that ho(gof ) = (hog) of.

Given examples of two functions f:" "N ->N" "a n d""""""g:" "N->N such that of is onto but f is not onto. (Hint: Consider f(x)" "=" "x+1" "a n d""""""""g(x)" "=" "{x-1 if x>1 1 if x=1}

Consider the number N=2016 .Find the Sum of the even divivisors of the number N.

Consider the statement P(n): n^2 - n + 41 is prime. Them which of the following is true?

Consider the statement : " P(n) : n^(2)-n+41 is prime." Then, which one of the following is true?

RESONANCE ENGLISH-TEST PAPERS-MATHEMATICS
  1. Consider N=2520

    Text Solution

    |

  2. The least positive vlaue of the parameter 'a' for which there exist at...

    Text Solution

    |

  3. The locus of the midpoint of a chord of the circle x^2+y^2=4 which sub...

    Text Solution

    |

  4. If f(x)=x + tan x and f si the inverse of g, then g'(x) equals

    Text Solution

    |

  5. Tangents PA and PB are drawn to parabola y^(2)=4x from any arbitrary p...

    Text Solution

    |

  6. If lim(nrarroo) (n.2^(n))/(n(3x-4)^(n)+n.2^(n+1)+2^(n))=1/2 where "n" ...

    Text Solution

    |

  7. Eccentricity of ellipse 2(x-y+1)^(2)+3(x+y+2)^(2)=5 is

    Text Solution

    |

  8. If (tan^(-1)x)^(3)+(tan^(-1)y)^(3)=1-3tan^(-1)x.tan^(-1)y. Then which ...

    Text Solution

    |

  9. If f:RrarrR is a continuous function satisfying f(0)=1 and f(2x)-f(x)=...

    Text Solution

    |

  10. tan^(-1)(sinx)=sin^(-1)(tanx) holds true for

    Text Solution

    |

  11. The function f(x) = (x^(2) - 1)|x^(2) - 3x + 3|+cos (|x|) is not diffe...

    Text Solution

    |

  12. Consider parabola P(1)-=y=x^(2) and P(2)-=y^(2)=-8x and the line L-=lx...

    Text Solution

    |

  13. If the normals at (x(i),y(i)) i=1,2,3,4 to the rectangular hyperbola x...

    Text Solution

    |

  14. Let f(x) = x^(3) - x^(2) + x + 1 and g(x) = {{:(max f(t)",", 0 le t le...

    Text Solution

    |

  15. The sum of the roots of the equation tan^(-1)(x+3)-tan^(-1)(x-3)="sin"...

    Text Solution

    |

  16. For an ellipse having major and minor axis along x and y axes respecti...

    Text Solution

    |

  17. If f:[0,1]rarrR is defined as f(x)={(x^(3)(1-x)"sin"1/(x^(2)) 0ltxle1)...

    Text Solution

    |

  18. If f(x)=root (3)(8x^(3)+mx^(2))-nx such that lim(xrarroo)f(x)=1 then

    Text Solution

    |

  19. For the curve y=4x^3-2x^5, find all the points at which the tangents p...

    Text Solution

    |

  20. Minimum value of (sin^(-1)x)^(2)+(cos^(-1)x)^(2) is greater than

    Text Solution

    |

  21. If y + b = m(1)(x + a) and y + b = m(2)(x+a) are two tangents to the p...

    Text Solution

    |