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 5 of 5.
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.
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
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.
Narendra said:
1 decade ago
Explain the reason or any guessing that we can take. If I take here p=9 it also works.
Anup gupta said:
1 decade ago
Why we consider only minimum ?
Jainendra said:
1 decade ago
Please explain I couldn't understand how he get maximum value.
Subhseh said:
2 decades ago
Please explain the method to find out the least value of p here.
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