UPSC Civil Services (Pre) Examination, General Studies (CSAT) Paper-II 2023 Question 16. Detailed Solution (Answer)

 

UPSC Civil Services (Pre) Examination, General Studies (CSAT) Paper-II 2023  Question 16. Detailed Solution (Answer) 

Question 16: 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

UPSC Civil Services (Pre) Examination,

General Studies (CSAT) Paper-II 2023 

Question 16. Detailed Solution (Answer) 

Question 16: 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

Solution: 

To find the greatest value of $(p + q)(r + s)$ where $p, q, r, s$ are distinct single-digit positive numbers (from 1 to 9), we need to maximize both $(p + q)$ and $(r + s)$.

Strategy:

• To maximize the product $(p + q)(r + s)$, we should assign the largest values to $p, q, r,$and $s$
  
• Since $p, q, r,$and $s$must be distinct, we should select the four largest single-digit positive numbers, which are 6, 7, 8, and 9.

Steps:

• Let's assign $p=9,q=8,r=7,s=6$
• Now, calculate the value of $(p + q)(r + s)$:

$$(p+q)(r+s)=(9+8)(7+6)=$$

$$\mathrm{<br>}$$

$$17\times 13=\mathrm{221 }$$

Thus, the greatest value of $(p + q)(r + s)$is 221.

The correct answer is (d) 221.

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Previous Year's SOLVED Question Paper with Detaile Solution (Answer) 

UPSC Civil Services (Pre) Examination,

General Studies (CSAT) Paper-II 2023