खालीलपैकी कोणती संख्या \((49^{15} - 1) \)चा भाजक आहे?

This question was previously asked in
SSC CGL 2022 Tier-I Official Paper (Held On : 01 Dec 2022 Shift 1)
View all SSC CGL Papers >
  1. 46
  2. 14
  3. 8
  4. 50

Answer (Detailed Solution Below)

Option 3 : 8
super-subscription-prototype
Free
PYST 1: SSC CGL - English (Held On : 11 April 2022 Shift 1)
3.1 Lakh Users
25 Questions 50 Marks 12 Mins

Detailed Solution

Download Solution PDF

दिलेले आहे:

\((49^{15} - 1) \)

वापरलेली संकल्पना:

जेव्हा n हा सम धन पूर्णांक असतो तेव्हा an​​​​​​ - bn हा (a + b) ने विभाज्य असतो.  

गणना:

\((49^{15} - 1) \)

⇒ \(({(7^2)}^{15} - 1) \)

⇒ \((7^{30} - 1) \)

येथे, 30 ही धन पूर्णांक संख्या आहे.

संकल्पनेनुसार,

\((7^{30} - 1) \) ही (7 + 1) म्हणजेच 8 ने विभाज्य आहे.

∴ 8 हा \((49^{15} - 1) \) चा भाजक आहे.

Latest SSC CGL Updates

Last updated on Jun 10, 2025

-> The SSC CGL Notification 2025 has been released on 9th June 2025 on the official website at ssc.gov.in.

-> The SSC CGL exam registration process is now open and will continue till 4th July 2025, so candidates must fill out the SSC CGL Application Form 2025 before the deadline.

-> 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.

-> Candidates should also use the SSC CGL previous year papers for a good revision. 

Get Free Access Now
Hot Links: teen patti flush teen patti gold online teen patti wink teen patti earning app