Binomial Theorem · NDA previous year questions

2023 3 questions

1. Q1152023 · 3 Sept 2023

   In a Binomial distribution B(n, p), n = 6 and 9P(X = 4) = P(X = 2). What is p equal to ?

   1. A.$\frac{1}{4}$
   2. B.$\frac{1}{2}$
   3. C.$\frac{3}{4}$
   4. D.$\frac{4}{5}$
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   Answer: A

2. Q242023 · 16 Apr 2023

   If the sixth term in the binomial expansion of ${\left(x^{-\frac{8}{3}}+x^2{\log }_{10}x\right)}^8$ is 5600, then what is the value of x ?

   1. A.6
   2. B.8
   3. C.9
   4. D.10
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   Answer: D

3. Q252023 · 16 Apr 2023

   How many terms are there in the expansion of $(3x-y{)}^4(x+3y{)}^4$ ?

   1. A.9
   2. B.12
   3. C.15
   4. D.17
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   Answer: A