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 6 of 12.
Manish said:
1 decade ago
Why we have taken LCM of following numbers when the question is about the greatest number which suggests HCF?
Shabnam said:
1 decade ago
Where is the come 399? I am totally confuse some one define me.
Satish Kumar said:
1 decade ago
Guys don't worry. You can do this by another method.
From options 9800 is highest number so divide it with given numbers 15, 25, 40, and 75. But 75 is not divisible so forget about 9800.
Now choose the next highest number from given options that is 9600. And it is divisible by all the given numbers. That is the answer.
Don't worry about remaining options because according to the question we need the highest number.
From options 9800 is highest number so divide it with given numbers 15, 25, 40, and 75. But 75 is not divisible so forget about 9800.
Now choose the next highest number from given options that is 9600. And it is divisible by all the given numbers. That is the answer.
Don't worry about remaining options because according to the question we need the highest number.
Konika said:
1 decade ago
How we get greatest number of 4 digit 9999?
Yugam Wadhwa said:
1 decade ago
After finding 600 we have to find the maximum 4 digit multiple of 600, because it will also be divisible by four numbers.
Thus 600 is divided by 9999 and remainder is 399. Remainder is subtracted because if we divide (9999-399=x)x, it will completely divide.
Thus 600 is divided by 9999 and remainder is 399. Remainder is subtracted because if we divide (9999-399=x)x, it will completely divide.
Abdul said:
1 decade ago
How can I divide 9999/600 to get 399? Can you please clearly elaborate it?
Sangeet said:
1 decade ago
Hi, I do not when to use HCF & when to use LCM?
Here it is mentioned the word "GREATEST" but still we find LCM instead of HCF why?
Here it is mentioned the word "GREATEST" but still we find LCM instead of HCF why?
Daisy Chowdhury said:
1 decade ago
I use the same technique and I am agree with the first one. Now I am much confident about with dealing the sum.
Mahesh said:
1 decade ago
25 /__15,25,40'75___
3 /__15,1,40,3____
5 /__5,1,40,1____
1,8,1
If we do LCM by following above procedure we are getting the LCM as.
25*3*5*8 = 3000.
So may I know why we are getting the wrong one?
3 /__15,1,40,3____
5 /__5,1,40,1____
1,8,1
If we do LCM by following above procedure we are getting the LCM as.
25*3*5*8 = 3000.
So may I know why we are getting the wrong one?
Nandha said:
1 decade ago
Why we have to subtract (9999-399)?
Post your comments here:
Quick links
Quantitative Aptitude
Verbal (English)
Reasoning
Programming
Interview
Placement Papers