## Binomial Theorem Quiz 5

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. The approximate value of (1.0002)3000 is
•  1.6
•  1.4
•  1.8
•  1.2
Solution
Q2.
•  3
•  4
•  2
•  1
Solution
Q3. The last two digits of the number 3400 are
•  81
•  43
•  29
•  01
Solution
Q4.
•  n(n - 1)
•  n(n + 1)
•  n2
•  (n + 1)2
Solution
Q5. If the coeffiecients of rth, (r + 1)th and (r + 2)th terms in the binomial expansion of (1 + y)m are in AP, then m and r satisfy the equation
•  m2 - m(4r + 1) + 4r2 + 2 = 0
•  m2 - m(4r -1) + 4r2 - 2 = 0
•  m2 - m(4r - 1) + 4r2 + 2 = 0
•  m2 - m(4r + 1) + 4r2 - 2 = 0
Solution
Q6. If |x| < 1, then the coefficient of xn in expansion of (1 + x + x2 + x3 + ...)2 is
•  3n
•  n - 1
•  2n + 2
•  n + 1
Solution
Q7. If (1 + x)-n = a0 + a1x + a2x2 + ... + arxr + ..., then a0 + a1 + a2 + ... + ar is equal to
•
•
•
•  None of these
Solution
Q8.

•  4
•  1 or 2
•  0 or 1
•  3
Solution
Q9. In the expansion of (51/2 + 71/8)1024, the number of integral terms is
•  128
•  129
•  130
•  131
Solution
Q10.
• 148
• 146
• 149
• None of these
Solution

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