Sets, Relations & Functions · NDA previous year questions

2018 29 questions

1. Q782018 · 22 Apr 2018

   What is ${\int }_0^{\sqrt{2}}[x^2]dx$ equal to (where [.] is the greatest integer function)?

   1. A.$\sqrt{2}-1$
   2. B.$1-\sqrt{2}$
   3. C.$2(\sqrt{2}-1)$
   4. D.$\sqrt{3}-1$
   Show answer

   Answer: A

2. Q792018 · 22 Apr 2018

   What is the value of ${\int }_{-\pi /4}^{\pi /4}(\sin x-\tan x)dx$?

   1. A.$-\frac{1}{\sqrt{2}}+\ln \left(\frac{1}{\sqrt{2}}\right)$
   2. B.$\frac{1}{\sqrt{2}}$
   3. C.$0$
   4. D.$\sqrt{2}$
   Show answer

   Answer: C

3. Q802018 · 22 Apr 2018

   If ${\int }_a^b{x}^{3}dx=0$ and ${\int }_a^b{x}^{2}dx=\frac{2}{3}$, then what are the values of a and b respectively?

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

   Answer: A

4. Q812018 · 22 Apr 2018

   What is ${\int }_0^{1}x(1-x{)}^{9}dx$ equal to?

   1. A.1/110
   2. B.1/132
   3. C.1/148
   4. D.1/240
   Show answer

   Answer: A