Binomial Theorem · NDA previous year questions

2019 6 questions

1. Q312019 · 17 Nov 2019

   How many terms are there in the expansion of $(1+2x+x^2{)}^5+(1+4y+4y^2{)}^5$ ?

   1. A.12
   2. B.20
   3. C.21
   4. D.22
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   Answer: C

2. Q322019 · 17 Nov 2019

   If the middle term in the expansion of ${\left(x^2+\frac{1}{x}\right)}^{2n}$ is $184756x^{10}$, then what is the value of $n$?

   1. A.10
   2. B.8
   3. C.5
   4. D.4
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   Answer: A

3. Q332019 · 17 Nov 2019

   If the constant term in the expansion of ${\left(\sqrt{x}-\frac{k}{x^2}\right)}^{10}$ is 405, then what can be the values of $k$?

   1. A.$\pm 2$
   2. B.$\pm 3$
   3. C.$\pm 5$
   4. D.$\pm 9$
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   Answer: B

4. Q342019 · 17 Nov 2019

   If $x^{{\log }_{7}x}>7$ where $x>0$, then which one of the following is correct?

   1. A.$x\in (0,\infty )$
   2. B.$x\in \left(\frac{1}{7},7\right)$
   3. C.$x\in \left(0,\frac{1}{7}\right)\cup (7,\infty )$
   4. D.$x\in \left(\frac{1}{7},\infty \right)$
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   Answer: C

5. Q232019 · 21 Apr 2019

   What is the number of terms in the expansion of $[(2x-3y{)}^2(2x+3y{)}^2{]}^2$?

   1. A.$4$
   2. B.$5$
   3. C.$8$
   4. D.$16$
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   Answer: B

6. Q242019 · 21 Apr 2019

   In the expansion of $(1+ax{)}^n$, the first three terms are respectively 1, $12x$ and $64x^2$. What is n equal to?

   1. A.$6$
   2. B.$9$
   3. C.$10$
   4. D.$12$
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   Answer: B