Aptitude - Numbers - Discussion
Discussion Forum : Numbers - General Questions (Q.No. 46)
46.
In dividing a number by 585, a student employed the method of short division. He divided the number successively by 5, 9 and 13 (factors 585) and got the remainders 4, 8, 12 respectively. If he had divided the number by 585, the remainder would have been
Answer: Option
Explanation:
5 | x z = 13 x 1 + 12 = 25
--------------
9 | y - 4 y = 9 x z + 8 = 9 x 25 + 8 = 233
--------------
13| z - 8 x = 5 x y + 4 = 5 x 233 + 4 = 1169
--------------
| 1 -12
585) 1169 (1
585
---
584
---
Therefore, on dividing the number by 585, remainder = 584.
Discussion:
39 comments Page 2 of 4.
Suneetha said:
1 decade ago
@Dharamveer.
Divided the number successively by 5, 9 and 13 (factors 585) and got the remainders 4, 8, 12 respectively.
Dividers are 5, 9, 13.
Remainders are 4, 8, 12.
k = divider-remainder = 5-4 = 9-8 = 13-12 = 1.
Divided the number successively by 5, 9 and 13 (factors 585) and got the remainders 4, 8, 12 respectively.
Dividers are 5, 9, 13.
Remainders are 4, 8, 12.
k = divider-remainder = 5-4 = 9-8 = 13-12 = 1.
Rahul said:
1 decade ago
@Sudhir
The question was to find the remainder when you divide the number by 585 but you used the method to calculate the number [required number =N*lcm(5,8,13)-1 ].
Can you explain what have you done ?
The question was to find the remainder when you divide the number by 585 but you used the method to calculate the number [required number =N*lcm(5,8,13)-1 ].
Can you explain what have you done ?
Anvesh said:
9 years ago
@Manjeet Singh.
It's given that first, he divided by 5.
Means 5q + 4 = d.
Now it's no more d,
He divided q by 9 and so on.
Means 9x + 8 = q.
Now read the question, you will get it.
Thank you.
It's given that first, he divided by 5.
Means 5q + 4 = d.
Now it's no more d,
He divided q by 9 and so on.
Means 9x + 8 = q.
Now read the question, you will get it.
Thank you.
(1)
Siddharth said:
1 decade ago
@Saurabh.
It looked very simple. Thanks for making it look easy but can you explain what is the logic we have to keep in mind behind this.
It looked very simple. Thanks for making it look easy but can you explain what is the logic we have to keep in mind behind this.
Arti said:
1 decade ago
Hi, can any one please explain it I'm not able to understand how's these equation are working. Sorry but Im not able to understand. : (.
(1)
Ragul said:
1 decade ago
Divide 5 you get reminder as 4 and 9 you get 8 and 13 you get 12.
585+584 = 1169/5 = 4.
1+1+6+9 = 17/9 = 8.
Simply you get.
585+584 = 1169/5 = 4.
1+1+6+9 = 17/9 = 8.
Simply you get.
Vijay mittal said:
9 years ago
@Anvesh
How can you suppose like this way?
There is no explanation about d that it is no more and in next term q is used.
How can you suppose like this way?
There is no explanation about d that it is no more and in next term q is used.
Neelu said:
1 decade ago
Thanku arti. For helping to understand this problem in easy way.
(1)
Surya said:
1 decade ago
How can we take the value of the last quotient as 1?
Saurabh said:
1 decade ago
5-4=1
9-8=1
13-12=1
585-?=1
So the number is 584.
9-8=1
13-12=1
585-?=1
So the number is 584.
(5)
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