Aptitude - Numbers - Discussion
Discussion Forum : Numbers - General Questions (Q.No. 61)
61.
When a number is divided by 13, the remainder is 11. When the same number is divided by 17, then remainder is 9. What is the number ?
Answer: Option
Explanation:
x = 13p + 11 and x = 17q + 9
13p + 11 = 17q + 9
17q - 13p = 2
| q = |
2 + 13p |
| 17 |
| The least value of p for which q = | 2 + 13p | is a whole number is p = 26 |
| 17 |
x = (13 x 26 + 11)
= (338 + 11)
= 349
Discussion:
47 comments Page 2 of 5.
Ramesh Mariyada said:
9 years ago
Is there any shortcut method to solve this problem?
Justin said:
9 years ago
Please explain the value of P.
Shruti mohite said:
7 years ago
Please explain the method, how p=26 came?
Naina said:
7 years ago
How does p=26 appears? explain me.
Sudhanshu said:
7 years ago
Here, The Least value for p is 9 which will give us q as 7 and the result will be 128.
Jayalakshmi j said:
7 years ago
How come p=26?
Prahlad said:
6 years ago
Can u please solve how P=26
Bindu said:
6 years ago
Check from the options,
A) When 339 is divided by 13 we get the remainder as 1 but are should be 11 so check with the next option.
B) When 349 is divided by 13 we get the remainder as 11 and when it is divided by 17 are is 9, it satisfies both the conditions given in the question hence this is the answer.
A) When 339 is divided by 13 we get the remainder as 1 but are should be 11 so check with the next option.
B) When 349 is divided by 13 we get the remainder as 11 and when it is divided by 17 are is 9, it satisfies both the conditions given in the question hence this is the answer.
PNP BIT said:
6 years ago
We can also find;
X=13p+11.
We can check values frm option and put in x.
i.e 349=13p+11.
338=13p.
Then check divisibility of 13.
If it is divisible by13 then it is the right answer.
Because 11 is the remainder if we subtract from the no. We will get an answer which will be exactly divisible by 13.
X=13p+11.
We can check values frm option and put in x.
i.e 349=13p+11.
338=13p.
Then check divisibility of 13.
If it is divisible by13 then it is the right answer.
Because 11 is the remainder if we subtract from the no. We will get an answer which will be exactly divisible by 13.
MUKESH said:
5 years ago
Why can't we take 128 as answer, as it fulfill all the required conditions. But option is not given.
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