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:
47 comments Page 3 of 5.
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.
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.
Ramesh Mariyada said:
9 years ago
Is there any shortcut method to solve this problem?
Justin said:
9 years ago
Please explain the value of P.
Puja said:
8 years ago
One of the easy ways is check options.
349-11 = 338,
Now,338/13 = 26,
Also,349-9 = 340,
340/17 = 20.
Hence from checking opt. B it is right option.
I hope it is clear to all.
349-11 = 338,
Now,338/13 = 26,
Also,349-9 = 340,
340/17 = 20.
Hence from checking opt. B it is right option.
I hope it is clear to all.
(1)
Shruti mohite said:
7 years ago
Please explain the method, how p=26 came?
Naina said:
7 years ago
How does p=26 appears? explain me.
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.
Jayalakshmi j said:
7 years ago
How come p=26?
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