# Q. Let p, q, r and s be natural numbers such that p – 2016 = q + 2017 = r-2018 = s + 2019

which one of the following is the largest natural number?

(a) P

(b) Q

(c) R

(d) S

Correct Answer: (c) R

#### Question from UPSC Prelims 2020 CSAT Paper

**Explanation :**

## p-2016=q+2017=r-2018=s+2019

From the given relations, we have p – q = 4033 and r – q = 4035. This implies that r is greater than p and q.

Also, r – s = 4037, which means that r is greater than s.

Thus, we have established that r is the greatest of all the given natural numbers. Therefore, the correct option is (c) R.