Binomial Theorem 2 Question 3
3. If the fractional part of the number is , then is equal to
(2019 Main, 9 Jan I)
(a) 14
(b) 6
(c) 4
(d) 8
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Answer:
Correct Answer: 3. (d)
Solution:
- Consider,
[By binomial theorem,
where
(where
Alternate Method
Note that, when 16 is divided by 15 , gives remainder 1 .
(where {} is the fractional part function)