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 4 of 5.

Shruti mohite said:   7 years ago
Please explain the method, how p=26 came?

Surya said:   4 years ago
How can we get p value? Please explain.
(1)

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

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

Naina said:   7 years ago
How does p=26 appears? explain me.

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

Suchismita said:   5 years ago
Please explain, how we get p=26?

Anup gupta said:   1 decade ago
Why we consider only minimum ?

Justin said:   9 years ago
Please explain the value of P.

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


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