If p, q, r and s are distinct single digit positive numbers, then what is the greatest value #shorts

Smruti Sir solves a deceptively simple yet highly rewarding Number Theory question from UPSC CSAT 2023 — if p, q, r and s are distinct single digit positive numbers, what is the greatest value of (p+q)(r+s)? This is one of those easy marks questions that every UPSC aspirant must get right but many lose due to lack of a clear maximization strategy. The trick lies in understanding how to split the largest available digits to maximize the product of two sums — a clean insight that takes seconds once you know it. Watch Smruti Sir explain the approach clearly and never miss easy marks in UPSC Paper 2 again with Strive Edge IAS Academy!

Question:
If p, q, r and s are distinct single digit positive numbers, then what is the greatest value of (p + q)(r + s)?
(a) 230
(b) 225
(c) 224
(d) 221

Keywords:
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