Binomial Theorem · NDA previous year questions

2013 9 questions

1. Q402013 · 11 Aug 2013

   How many terms are there in the expansion of $(1+2x+x^2{)}^{10}$?

   1. A.11
   2. B.20
   3. C.21
   4. D.30
   Show answer

   Answer: C

2. Q1142013 · 11 Aug 2013

   Which one of the following may be the parameter of a binomial distribution?

   1. A.$np=2,npq=4$
   2. B.$n=4,p=\frac{3}{2}$
   3. C.$n=8,p=1$
   4. D.$np=10,npq=8$
   Show answer

   Answer: D

3. Q202013 · 14 Apr 2013

   What is the sum of the coefficients in the expansion of $(1+x{)}^n$ ?

   1. A.$2^n$
   2. B.$2^n-1$
   3. C.$2^{n-1}$
   4. D.$n+1$
   Show answer

   Answer: A

4. Q212013 · 14 Apr 2013

   If $P(77,31)=x$ and $C(77,31)=y$, then which one of the following is correct ?

   1. A.$x=y$
   2. B.$2x=y$
   3. C.$77x=31y$
   4. D.$x>y$
   Show answer

   Answer: D

5. Q792013 · 14 Apr 2013

   What is the differential coefficient of ${\log }_{x}x$ ?

   1. A.0
   2. B.1
   3. C.$\frac{1}{x}$
   4. D.x
   Show answer

   Answer: A

6. Q802013 · 14 Apr 2013

   What is ${\int }_0^2\frac{dx}{x^2+4}$ equal to ?

   1. A.$\frac{\pi }{2}$
   2. B.$\frac{\pi }{4}$
   3. C.$\frac{\pi }{8}$
   4. D.None of the above
   Show answer

   Answer: C

7. Q812013 · 14 Apr 2013

   What is ${\int }_{-a}^a(x^3+\sin x)dx$ equal to ?

   1. A.a
   2. B.$2a$
   3. C.0
   4. D.1
   Show answer

   Answer: C

8. Q822013 · 14 Apr 2013

   What is ${\int }_0^{1}x{e}^{x}dx$ equal to ?

   1. A.1
   2. B.$-1$
   3. C.0
   4. D.e
   Show answer

   Answer: A

9. Q1202013 · 14 Apr 2013

   The binomial distribution has

   1. A.only one parameter
   2. B.two parameters
   3. C.three parameters
   4. D.four parameters
   Show answer

   Answer: B