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Mathematical Reasoning Here is the CBSE राजनीतिक विज्ञान Chapter 14 for Class 11 students. Summary and detailed explanation of the lesson, including the definitions of difficult words. All of the exercises and questions and answers from the lesson's back end have been completed. NCERT Solutions for Class 11 राजनीतिक विज्ञान Mathematical Reasoning Chapter 14 NCERT Solutions for Class 11 राजनीतिक विज्ञान Mathematical Reasoning Chapter 14 The following is a summary in Hindi and English for the academic year 2025-26. You can save these solutions to your computer or use the Class 11 राजनीतिक विज्ञान.
The remainder left out when 82n –(62)2n+1 is divided by 9 is
0
2
7
8
B.
2
82n – (62)2n + 1
⇒ (9 – 1)2n – (63 – 1)2n + 1
⇒ (2nC0 92n–2nC1 92n – 1 + ….. + 2nC2n)
– (2n + 1C0 632n + 1–2n + 1C1 632n + ….
–2n +1C2n + 1
Clearly remainder is ‘2’.
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