Sets, Relations & Functions · NDA previous year questions

2025 27 questions

1. Q992025 · 13 Apr 2025

   Consider the following for the two (02) items that follow: Let $f(x)=[x^2]$ where [.] is the greatest integer function. What ${\int }_{\sqrt{2}}^{\sqrt{3}}f(x)dx$ equal to?

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

   Answer: B

2. Q1002025 · 13 Apr 2025

   Consider the following for the two (02) items that follow: Let $f(x)=[x^2]$ where [.] is the greatest integer function. ${\int }_{\sqrt{2}}^{2}f(x)dx$ is equal to ?

   1. A.$6-\sqrt{3}-2\sqrt{2}$
   2. B.$6-\sqrt{3}-\sqrt{2}$
   3. C.$6-\sqrt{3}+2\sqrt{2}$
   4. D.$6+\sqrt{3}-2\sqrt{2}$
   Show answer

   Answer: A