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.
Puja said:
8 years ago
One of the easy ways is check options.
349-11 = 338,
Now,338/13 = 26,
Also,349-9 = 340,
340/17 = 20.
Hence from checking opt. B it is right option.
I hope it is clear to all.
349-11 = 338,
Now,338/13 = 26,
Also,349-9 = 340,
340/17 = 20.
Hence from checking opt. B it is right option.
I hope it is clear to all.
(1)
Raj said:
1 decade ago
Its true that we can get answer by using options. But if the options are not available then we have to use formula. Then we must know how to get least value of P.
Shubham said:
9 years ago
@Ravi.
We have to satisfy the condition so that q should be greater than 1 that is why we take p =2, putting p =2 = 13 * 2 = 26 which is equal to p.
We have to satisfy the condition so that q should be greater than 1 that is why we take p =2, putting p =2 = 13 * 2 = 26 which is equal to p.
Naveenkumar said:
1 decade ago
Here we have to use options 339=13p+11, p is not a whole number, like that we have to use options, at 349=13p+11, p is whole number.
Arun said:
1 decade ago
Please tell how to find the minimum value of p. Is there any alternative method to solve this problem?we cannot predict the value.
Raman said:
1 decade ago
So simple 339/13 remainder is 1
349/13 remainder is 11 & same when we divide by 349/17 remainder is 9
So answer is B
349/13 remainder is 11 & same when we divide by 349/17 remainder is 9
So answer is B
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.
Kanijv said:
1 decade ago
Here p=9 also works but the thing is that there is no option for that only p=26 we have the answer.
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.
Narendra said:
1 decade ago
Explain the reason or any guessing that we can take. If I take here p=9 it also works.
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