SATHEE: Quantitative Aptitude Ques 1262

Quantitative Aptitude Ques 1262

Question: The difference between two numbers is 18 and their HCF and LCM are 6 and 168, respectively. What is the sum of squares of the two numbers? [RBI (Assistant) 2015]

Options:

A) 2280

B) 2260

C) 2420

D) 2340

E) 2380

Show Answer

Answer:

Correct Answer: D

Solution:

Let one number be $ x. $ Then, another number is $ x+18. $ Now, product of two numbers $ =HCF\times LCM $

$ \Rightarrow $ $ x\times (x+18)=6\times 168 $

$ \Rightarrow $ $ x^{2}+18x=1008 $

$ \Rightarrow $ $ x^{2}+18x-1008=0 $

$ \Rightarrow $ $ x^{2}-24x+42x-1008=0 $

$ \Rightarrow $ $ x(x-24)+42x(x-24)=0 $

$ \Rightarrow $ $ (x+42)(x-24)=0 $

$ \Rightarrow $ $ x=24, $ $ x\ne -42 $

$ \therefore $ Another number is 42. Required sum of squares $ ={{(24)}^{2}}+{{(42)}^{2}} $ $ =576+1764=2340 $

Quantitative Aptitude Ques 1261

Quantitative Aptitude Ques 1263

Bank Preparation

IBPS Office Assistants

IBPS RRB Officers

Bank Courses

Recorded Course for English

Recorded Course for Reasoning

Recorded Course for Mathematics

NCERT Books

Important Resources

Banking Awareness

Financial Awareness

Forum

BETA

© 2025 Copyright SATHEE

Privacy Policy

Powered by Prutor@IITK

sathee@iitk.ac.in

Media coverage of SATHEE

Play Store

App Store

The Ministry of Education has launched the SATHEE initiative in association with IIT Kanpur to provide free guidance for competitive exams. SATHEE offers a range of resources, including reference video lectures, mock tests, and other resources to support your preparation. Please note that participation in the SATHEE program does not guarantee clearing any exam or admission to any institute.