If X + Y = 23 and XY = 126; what is the value of (X)² + (Y)² = ?

This question was previously asked in
CSIR-CLRI JSA 2024 Official Paper-I (Held On: 16 Feb, 2025)
View all CSIR Junior Secretariat Assistant Papers >
  1. 250
  2. 277
  3. 340
  4. 386

Answer (Detailed Solution Below)

Option 2 : 277
Free
CSIR JSA General Awareness Mock Test
8.4 K Users
20 Questions 60 Marks 12 Mins

Detailed Solution

Download Solution PDF

Given:

X + Y = 23

XY = 126

Formula used:

(X + Y)2 = X2 + Y2 + 2XY

Calculation:

232 = X2 + Y2 + 2 × 126

⇒ 529 = X2 + Y2 + 252

⇒ X2 + Y2 = 529 - 252

⇒ X2 + Y2 = 277

∴ The correct answer is option (2).

Latest CSIR Junior Secretariat Assistant Updates

Last updated on Jun 24, 2025

-> The CSIR Junior Secretariat Assistant 2025 has been released for 9 vacancies.

-> Candidates can apply online from 17th June to 7th July 2025.  

-> The CSIR JSA salary ranges from INR 19,900 - INR 63,200 (Indian Institute of Petroleum, Dehradun & Institute of Microbial Technology) and INR 35,600 (Indian Institute of Toxicology Research).

-> The selection of candidates for this post will be based on a Written Exam, followed by a Computer Typing Test.

-> Prepare for the exam with CSIR Junior Secretariat Assistant Previous Year Papers.

More Algebra Questions

Get Free Access Now
Hot Links: teen patti jodi teen patti real teen patti gold apk