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:
121 comments Page 8 of 13.
Manish said:
1 decade ago
Why we have taken LCM of following numbers when the question is about the greatest number which suggests HCF?
Sagar said:
1 decade ago
How remainder 399 comes, by my calculation remainder must be 133? Please show the remainder calculation.
Siddharth said:
1 decade ago
Hi all,
Another method to answer this question is just break all four (15, 25, 40, 75) in to prime numbers.
15 = 5*3.
25 = 5*5.
40 = 8 (2*2*2) *5.
75 = 5*3*5.
Now here we can see the common divisors are 5, 3 and 8.
So the number which is divisible by 5, 3 and 8 is the right answer which is option C 9600.
Another method to answer this question is just break all four (15, 25, 40, 75) in to prime numbers.
15 = 5*3.
25 = 5*5.
40 = 8 (2*2*2) *5.
75 = 5*3*5.
Now here we can see the common divisors are 5, 3 and 8.
So the number which is divisible by 5, 3 and 8 is the right answer which is option C 9600.
Anil said:
1 decade ago
What if we take 6 digits?
Veeramani said:
1 decade ago
9999 divide 600 which give only remainder for 133 but there they are said 399 how its?
Rohir said:
1 decade ago
How that remainder come 399 please tell me?
Atul said:
1 decade ago
How to devide 9999 by 600? please explain.
Heena said:
1 decade ago
We can also take 9800 as a base then we have to divide 9800 by 600 which gives 200 remainder and we subtract 200 from 9800 will give the answer 9600.
Sanesh said:
1 decade ago
How you get 399?
Shubhangi said:
1 decade ago
Why do we take LCM of the given numbers, but not HCF?
Post your comments here:
Quick links
Quantitative Aptitude
Verbal (English)
Reasoning
Programming
Interview
Placement Papers