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 ?
339
349
369
Data inadequate
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.

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.

Shashank said:   1 decade ago
How the value of P becomes 26?

Vrunda said:   10 years ago
How is possible in p=26?

Rajani said:   9 years ago
How we get the value of p=26?

Please explain.

Sonu Shaw said:   9 years ago
How p = 26? Please explain that step.

Ravi said:   9 years ago
How are you taking p as 26? Please explain.

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.


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