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:
48 comments Page 3 of 5.
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.
Naina said:
7 years ago
How does p=26 appears? explain me.
Shruti mohite said:
7 years ago
Please explain the method, how p=26 came?
Justin said:
9 years ago
Please explain the value of P.
Pratikshya said:
1 decade ago
I am not able to understand why p is taken as 26? please help me.
Jainendra said:
1 decade ago
Please explain I couldn't understand how he get maximum value.
Anup gupta said:
1 decade ago
Why we consider only minimum ?
Narendra said:
1 decade ago
Explain the reason or any guessing that we can take. If I take here p=9 it also works.
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.
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
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