## Binomial Theorem Quiz 3

Binomial Theorem is one of the most important chapters of Algebra in the JEE syllabus and other engineering exams. For JEE Mains, it has 4% weightage and for JEE Advanced, it has 2.42% weightage..

Q1.
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Solution
Q2. The coefficient of x28 in the expansion of (1 + x3 − x6)30 is
•  1
•  0
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Solution
Q3.
•  255
•  61
•  127
•  None of these
Solution
Q4.
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Solution
Q5.
•  x
•  (1 + x)1/3
•  (1 - x)1/3
•  (1 - x)-1/3
Solution
Q6.
•  210
•  105
•  70
•  112
Solution
Q7.
•  2n + 1
•  2n
•  n
•  n + 1
Solution
Q8.

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Solution
Q9. If C0,C1,C2, ...,Cn are the binomial coefficients, then 2 X C1 + 23 X C3 + 25 X C5 + ... equals
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Solution
Q9. If the coefficients of three consecutive terms in the expansion of (1 + x)n are in the ratio 1:7:42, then the value of n is
• 60
• 70
• 55
• None of these
Solution

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