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Aptitude Doubt
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The least number of five digits which is exactly divisible by 12,15 and 18 is:
a)10080 b)10800 c)18000 d)81000
numericalability
generalaptitude
asked
Sep 28, 2018
in
Numerical Ability
by
Devshree Dubey
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points)

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+2
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 )
0
@Shaik Masthan,Tysm Brother. :). You've given the right clue.
0
Brother, actually this is not good method, to know the concept !
This is just a method for multiple choice only...
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+1
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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.
answered
Sep 28, 2018
by
goxul
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edited
Sep 28, 2018
by
Devshree Dubey
comment
0
@goxul,Brother the answer is option a) actually. :)
0
@goxul,Brother don't take me in wrong way but I'll suggest you to please follow the method suggested by Shaik Masthan brother. Okay. Hope it helps. :)
0
Oh lol, I made a typo.
180 x 56 is 10080, my bad.
0
No issues. You've corrected. That's wat matters. :)
0
@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
@goxul,@Shaik Masthan,We now have two methods. Woah good job both of you. :)
+1
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.
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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
answered
Aug 14, 2019
by
STUDYGATE2019
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