Aptitude - Problems on H.C.F and L.C.M - Discussion
Discussion Forum : Problems on H.C.F and L.C.M - General Questions (Q.No. 5)
5.
The greatest number of four digits which is divisible by 15, 25, 40 and 75 is:
Answer: Option
Explanation:
Greatest number of 4-digits is 9999.
L.C.M. of 15, 25, 40 and 75 is 600.
On dividing 9999 by 600, the remainder is 399.
Required number (9999 - 399) = 9600.
Discussion:
120 comments Page 9 of 12.
Nandha said:
1 decade ago
Why we have to subtract (9999-399)?
Gayathri Ganesan said:
1 decade ago
Magesh, I'm also getting confusion with that type of doing lcm brings 3000. Then how they put 600? Is anyone cleared this doubt?
David said:
1 decade ago
Because greatest no. of four digit is only 9999.
So we divide 9999 by 600. So please use your common sense.
So we divide 9999 by 600. So please use your common sense.
V!cky said:
10 years ago
9800-9000 = 800.
9600-9400 = 200.
800-200 = 600.
Solved further get 399.
9600-9400 = 200.
800-200 = 600.
Solved further get 399.
Prajnya.samantaray said:
10 years ago
Can any one please explain in which case I have to take the L.C.M and where H.C.F? I am really confused.
Amala said:
10 years ago
Any body please tell me how we get 399 remainder?
Gayathri said:
10 years ago
Is anybody got idea about different lcm value by two methods?
Darshan said:
10 years ago
Concept is simple.
The greatest 4 digit no in numbers is 9999.
Then find the LCM of 15, 25, 40, 75 = that is 600.
So if 9999 is divisible by 600 then it is the greatest 4 digit no.
If we divide 9999 by 600 it will leave a remainder 399.
600) 9999 (16
9600
--------
0399 --< this is remainder.
If we subtract it with dividend :: (9999-399) = 9600.
So the 9600 is divisible by 600 without leaving a remainder hence it is divisible by all given nos.
The greatest 4 digit no in numbers is 9999.
Then find the LCM of 15, 25, 40, 75 = that is 600.
So if 9999 is divisible by 600 then it is the greatest 4 digit no.
If we divide 9999 by 600 it will leave a remainder 399.
600) 9999 (16
9600
--------
0399 --< this is remainder.
If we subtract it with dividend :: (9999-399) = 9600.
So the 9600 is divisible by 600 without leaving a remainder hence it is divisible by all given nos.
Kinjal said:
10 years ago
9999 is divided by 600.
Quotient: 16.
Remainder: 399.
Quotient: 16.
Remainder: 399.
Vivek Balodi said:
9 years ago
Why we take LCM of these Numbers ? Why Not HCF? Can Anyone explain ? When we have to take LCM and when HCF?
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