0 votes 0 votes The least number of five digits which is exactly divisible by 12,15 and 18 is: a)10080 b)10800 c)18000 d)81000 Quantitative Aptitude quantitative-aptitude general-aptitude + – Devshree Dubey asked Sep 28, 2018 Devshree Dubey 652 views answer comment Share Follow See all 3 Comments See all 3 3 Comments reply Shaik Masthan commented Sep 28, 2018 reply Follow Share if you have options, then check directly which numbers are divisible by LCM(12,15,18) among them choose the lowest number, ( option A is right for this question ) 2 votes 2 votes Devshree Dubey commented Sep 28, 2018 reply Follow Share @Shaik Masthan,Tysm Brother. :). You've given the right clue. 0 votes 0 votes Shaik Masthan commented Sep 29, 2018 reply Follow Share Brother, actually this is not good method, to know the concept ! This is just a method for multiple choice only... 0 votes 0 votes Please log in or register to add a comment.
1 votes 1 votes The LCM of the three numbers is 180. Now, 180 x 50 is 9000, 180 x 60 is 10800. So the number has to lie between 10000 and 10800. Now, 180 x 55 = 9900, 180 x 56 = 10800. So the answer should be 10800 180 x 56 is 10080, not 10800. goxul answered Sep 28, 2018 • edited Sep 28, 2018 by Devshree Dubey goxul comment Share Follow See all 7 Comments See all 7 7 Comments reply Show 4 previous comments Devshree Dubey commented Sep 28, 2018 reply Follow Share @goxul,It sounds cool though the method you shared. You kinda created a range b/w 50 and 60. It's obvious 9000 being nearer and 10800 being the upper limit. How did you deduced 55 and 56 btw? 0 votes 0 votes Devshree Dubey commented Sep 28, 2018 reply Follow Share @goxul,@Shaik Masthan,We now have two methods. Woah good job both of you. :) 0 votes 0 votes goxul commented Sep 28, 2018 reply Follow Share Well, its easy to see that 180*50 is 9000 and 180*5 is 900. So, 180*55 becomes 9900 and since this is the closest to 10000, the next multiple has to be the smallest one which is divisible by all of them. 1 votes 1 votes Please log in or register to add a comment.
0 votes 0 votes try option A and it is the least among all the options and it is exactly divisible by 12,15 and 18 , for your convenience you can try it with GATE VIRTUAL CALCULATOR , and the logic of try it with LCM of 3 will also work , option elimination will be the best approach here STUDYGATE2019 answered Aug 14, 2019 STUDYGATE2019 comment Share Follow See all 0 reply Please log in or register to add a comment.