Aptitude - Numbers - Discussion

Its true that we can get answer by using options. But if the options are not available then we have to use formula. Then we must know how to get least value of P.

Please explain the method to find out the least value of p here?

Please tell how to find the minimum value of p. Is there any alternative method to solve this problem?we cannot predict the value.

x = 13p + 11 and x = 17q + 9.

The general case is,
x = 221a + 128 which give x = 349 for the least value of a = 1.

Let's try to demonstrate that!

Difference d > 0 get p = q + d and q = p - d.

We will replace q (into the second equality of x) to get p as function of d:
13p + 11 = 17(p-d) + 9 => 4p = 17d + 2.

We see now that d is even, so d = 2k and p = q + 2k.

4p = 17 x 2k + 2.

After dividing the above equality by 2 we will remark that k has an odd value so we will replace it by 2a+1.

2p = 17k + 1.

So k = 2a + 1 and p = q + 2(2a+1).

2p = 17(2a+1) + 1 => p = 17a + 9.

Replacing p in x = 13p + 11 will lead to the expected result.

x = 13(17a+9) + 11 => x = 221a + 128.

Instead solving the problem use plugin methods to answer quickly.

@Sunny wilson, can you please explain the plugin method here ?

Please explain the method to find out the least value of p here.

Please explain p=26 how?

How to get the least value p here?

I did not get please explain me anyone.