## Quant Question Of The Day: 265

## Numbers

**For how many positive integers p, is (30 – p)/(p-10) is a prime number ?**

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**For how many positive integers p, is (30 – p)/(p-10) is a prime number ?**

**(30 – p)/(p-10) = [20 – ( P – 10)]/(p-10) = 20/(p-10) – 1All the factors of 20 can be possible values of (p-10). In other words, the possible values of 20/(p-10) will be the factors of 20.Possible values of 20/(p-10) – 1 will be 0, 1, 3, 4, 9 and 19 out of these there are 2 prime numbers.**

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1 value ( p = 20 )

2 values -11 and 15

2 values; p=11,15