Binomial Theorem · NDA previous year questions

2009 5 questions

1. Q122009 · 30 Aug 2009

   What is the value of $\frac{({\log }_{27}9)({\log }_{16}64)}{{\log }_4\sqrt{2}}$ ?

   1. A.1
   2. B.2
   3. C.4
   4. D.8
   Show answer

   Answer: C

2. Q1122009 · 30 Aug 2009

   Consider the following statements : 1. The coefficient of the middle term in the expansion of $(1+x{)}^8$ is equal to the middle term of ${\left(x+\frac{1}{x}\right)}^8$. 2. The coefficient of the middle term in the expansion of $(1+x{)}^8$ is less than the coefficient of the fifth term in the expansion of $(1+x{)}^7$. Which of the above statements is/are correct ?

   1. A.1 only
   2. B.2 only
   3. C.Both 1 and 2
   4. D.Neither 1 nor 2
   Show answer

   Answer: A

3. Q192009 · 19 Apr 2009

   What is the term independent of $x$ in the expansion of $(1+x+2x^3){\left(\frac{3x^2}{2}-\frac{1}{3x}\right)}^9$ ?

   1. A.$1/3$
   2. B.$19/54$
   3. C.$1/4$
   4. D.No such term exists in the expansion
   Show answer

   Answer: D