0 votes 0 votes The number of positive number which divides either 2700 or 9000 are _________? i am getting 20 Gate Fever asked Dec 25, 2018 Gate Fever 1.0k views answer comment Share Follow See all 13 Comments See all 13 13 Comments reply kumar.dilip commented Dec 25, 2018 reply Follow Share 72 ??? 0 votes 0 votes Shubhgupta commented Dec 25, 2018 i reshown by Shubhgupta Dec 26, 2018 reply Follow Share i am getting 57. whats the answer given. 0 votes 0 votes Soumya29 commented Dec 25, 2018 reply Follow Share I am getting 30 :P 0 votes 0 votes kman30 commented Dec 25, 2018 reply Follow Share Done by mutual inclusion exclusion principle : number dividing X==> n(x) n(2700 or 9000)=n(2700)+n(9000)-n(2700 and 9000) n(2700)=(3*3*3) X (2*2) x (5*5) factors of 2700 =4*3*3 =36 9000 = (3*3)x(2*2*2)x(5*5*5) factors of 9000= 3*4*4=48 Now we find numbers which divide both 2700 and 9000 which is the product of common factors which are (3*3)x(2*2)x(5*5) so total factors= 3*3*3=27 so total answer=36+48-27 =57 1 votes 1 votes Soumya29 commented Dec 25, 2018 reply Follow Share If it's either 2700 or 9000 (but not both) $\rightarrow 36+48- (2*27)=30$ If it's 2700 or 9000 or both $\rightarrow 36+48- 27=57$ 1 votes 1 votes kumar.dilip commented Dec 25, 2018 reply Follow Share I did mistake in calculation. 0 votes 0 votes Gate Fever commented Dec 26, 2018 reply Follow Share yes , answer is 57 only; okay ! i got it; my mistake was while finding numbers which divide both 2700 & 9000 , i was finding LCM; okay so the common factors are to be calculated!! 0 votes 0 votes Shubhgupta commented Dec 26, 2018 reply Follow Share @Gate Fever, but according to wording "either or" correct answer will be 30 as @Soumya29 did. 0 votes 0 votes Lakshman Bhaiya commented Dec 26, 2018 reply Follow Share @Soumya29 If it's either $2700$ $(or)$ $9000$ (but not both)$ →36+48−$(2∗27) $=30??$ How did you subtract $2\times27?$ 0 votes 0 votes Gate Fever commented Dec 26, 2018 reply Follow Share IN english language where A OR B MEANS EITHER A OR B BUT NOT BOTH BUT IN COMPUTER SCIENCE A OR B MEANS EITHER A OR B THAT IS if one of the two or both of them are true,then statement is true; although am not also sure; moreover solution is of madeeasy , we cant rely on that too blindly. lets see what others say!! till then wait and consider 57 as correct answer!! 0 votes 0 votes Gate Fever commented Dec 26, 2018 reply Follow Share @Lakshman Patel RJIT it is symmetric diiff formula $n(A\Delta B)=n(A)+n(B)-2n(A\cap B)$ 0 votes 0 votes Soumya29 commented Dec 26, 2018 reply Follow Share @Lakshman Patel RJIT, Draw the Venn diagram you will get it :) @Shubhgupta @Gate Fever I am also confused in this "either or" thing. @Mk Utkarsh please check this once. 0 votes 0 votes Lakshman Bhaiya commented Dec 26, 2018 reply Follow Share Case $(1):$Either $A$ $(or)$ $B$ but not both Case $(2):$Either $A$ $(or)$ $B$ $(or)$ both $(OR)$ 0 votes 0 votes Please log in or register to add a comment.