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 3 of 5.

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

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

Deep said:   1 decade ago
Please explain the method to find out the least value of p here?

Subhseh said:   2 decades ago
Please explain the method to find out the least value of p here.

Jainendra said:   1 decade ago
Please explain I couldn't understand how he get maximum value.

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

Ramesh Mariyada said:   9 years ago
Is there any shortcut method to solve this problem?

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

Please explain.

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

Nilesh said:   3 years ago
Why p=26 taken? Please explain the answer.
(2)


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