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 2 of 5.

Sunny wilson said:   1 decade ago
Instead solving the problem use plugin methods to answer quickly.

Sweta said:   1 decade ago
@Sunny wilson, can you please explain the plugin method here ?

Pratikshya said:   1 decade ago
I am not able to understand why p is taken as 26? please help me.

Raihan said:   1 decade ago
Please explain p=26 how?

Arvind said:   1 decade ago
How to get the least value p here?

Aparna said:   1 decade ago
I did not get please explain me anyone.

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.


Post your comments here:

Your comments will be displayed after verification.