जर सात अंकी संख्या 52A6B7C ही 33 ने विभाज्य असेल आणि A, B, C ह्या मूळ संख्या असतील, तर 2A + 3B + C चे कमाल मूल्य काय असेल?

This question was previously asked in
SSC CGL 2022 Tier-I Official Paper (Held On : 12 Dec 2022 Shift 3)
View all SSC CGL Papers >
  1. 32
  2. 23
  3. 27
  4. 34

Answer (Detailed Solution Below)

Option 2 : 23
super-pass-live
Free
SSC CGL Tier 1 2025 Full Test - 01
3.3 Lakh Users
100 Questions 200 Marks 60 Mins

Detailed Solution

Download Solution PDF

दिलेल्याप्रमाणे:

सात अंकी संख्या 52A6B7C ही 33 ने विभाज्य आहे.

वापरलेली संकल्पना:

जर एखाद्या संख्येच्या एकांतरी अंकांच्या बेरजेतील फरक 11 ने विभाज्य असेल, तर ती संख्या पूर्णपणे 11 ने विभाज्य असेल.

जर एखाद्या संख्येच्या अंकांची बेरीज 3 च्या पटीत असेल तर ती संख्या 3 ने पूर्णपणे भाग जाईल.

गणना:

5 + 2 + A + 6 + B + 7 + C = 20 + A + B + C

(A + B + C) चे शक्य असलेले मूल्ये = 1, 4, 7, 10, 13, 16, 19, 22, 25

पुन्हा,

5 + A + B + C - 2 - 6 - 7 = 0 किंवा 11 च्या पटीत 

⇒ 5 + A + B + C - 15 = 0 किंवा 11 च्या पटीत 

वरील शक्य असलेल्या मूल्यांपैकी, (A + B + C) = 10 साठी आपल्याला 0 मिळते.

म्हणून, A + B + C = 10

आता,

जर A = 5, B = 3, C = 2

2A + 3B + C = 10 + 9 + 2

⇒ 21

जर A = 3, B = 5, C = 2

2A + 3B + C = 6 + 15 + 2

⇒ 23

जर A = 3, B = 2, C = 5

2A + 3B + C = 6 + 6 + 2

⇒ 17

जर A = 2, B = 5, C = 3

2A + 3B + C = 4 + 15 + 3

⇒ 22

तर, 2A + 3B + C चे कमाल मूल्य 23 आहे.

∴ आवश्यक उत्तर 23 आहे.

Latest SSC CGL Updates

Last updated on Jul 9, 2025

-> The SSC CGL Notification 2025 for the Combined Graduate Level Examination has been officially released on the SSC's new portal – www.ssc.gov.in.

-> Bihar Police Admit Card 2025 Out at csbc.bihar.gov.in

-> This year, the Staff Selection Commission (SSC) has announced approximately 14,582 vacancies for various Group B and C posts across government departments.

-> The SSC CGL Tier 1 exam is scheduled to take place from 13th to 30th August 2025.

->  Aspirants should visit ssc.gov.in 2025 regularly for updates and ensure timely submission of the CGL exam form.

-> Candidates can refer to the CGL syllabus for a better understanding of the exam structure and pattern.

-> The CGL Eligibility is a bachelor’s degree in any discipline.

-> Candidates selected through the SSC CGL exam will receive an attractive salary. Learn more about the SSC CGL Salary Structure.

-> Attempt SSC CGL Free English Mock Test and SSC CGL Current Affairs Mock Test.

-> The AP DSC Answer Key 2025 has been released on its official website.

-> The UP ECCE Educator 2025 Notification has been released for 8800 Posts.

Get Free Access Now
Hot Links: real cash teen patti teen patti star teen patti comfun card online teen patti 500 bonus