Home
Class 12
MATHS
If n=2^(100)3^(2) and {d(1),d(2),…d(k)} ...

If `n=2^(100)3^(2)` and `{d_(1),d_(2),…d_(k)}` is the set of all divisors of n, then `sum_(j=1)^(k)(1)/(d_(j))` equals

A

2

B

N

C

`2N`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS AND COMBINATIONS

    MCGROW HILL PUBLICATION|Exercise EXERCISE (LEVEL 2) Numerical Answer Type Questions |23 Videos
  • PERMUTATIONS AND COMBINATIONS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. AIEEE/JEE Main Papers |58 Videos
  • PERMUTATIONS AND COMBINATIONS

    MCGROW HILL PUBLICATION|Exercise EXERCISE (LEVEL 1) Single Correct Answer Type Questions |62 Videos
  • PARABOLA

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTRE ENTRANCE EXAMINATION PAPERS|9 Videos
  • PROBABILITY

    MCGROW HILL PUBLICATION|Exercise Previous Years B-Architecture Entrance Examination Papers|21 Videos

Similar Questions

Explore conceptually related problems

N=2^(n-1)(2^(n)-1) and (2^(n)-1) is a prime number.d_(1)

lim_(nrarroo) 1/n sum_(j=0)^n((2j-1)+8n)/((2j-1)+4n)

sum_(i=1)^(oo)sum_(j=1)^(oo)sum_(k=1)^(oo)(1)/(2^(i+j+k)) is equal to

The value of sum_(i=1)^(n) sum_(j=1)^(i) sum_(k=1)^(j) 1 is

If D=diag(d_1,d_2,d_3,…,d_n)" where "d ne 0" for all " I = 1,2,…,n," then " D^(-1) is equal to

S=sum_(i=1)^(n)sum_(j=1)^(i)sum_(k=1)^(j)1