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UPSC Prelims

Mathematics

Theme:

Number System / संख्या पद्धति

Q9 2020, Number System

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?

माना कि p, q, r और s इस प्रकार की प्राकृतिक संख्याएँ हैं कि p - 2016 = q + 2017 = r - 2018 = s + 2019 है। निम्न में से कौन-सी सबसे बड़ी प्राकृतिक संख्या है?

Explanation Please wait..

• Here we do not need absolute values of p,q,r,s but an approximate idea to get the answer.

• So, p – 2016 = q + 2017

or p = q + 2017 + 2016 (it means p > q)

• q + 2017 = r – 2018

or r = q + 2017 + 2018 (it means r > q)

• r – 2018 = s + 2019

or r = s + 2019 + 2018 (it means r > s)

• p – 2016 = r – 2018

or r = p – 2016 + 2018 = p + 2 (it means r > p)

We already know that r > q, s

Hence, r is the largest number.

व्याख्या Please wait..

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