Sets, Relations & Functions · NDA previous year questions

2013 31 questions

1. Q92013 · 14 Apr 2013

   If $A=\{x,y\}$, $B=\{2,3\}$, $C=\{3,4\}$, then what is the number of elements in $A\times (B\cup C)$ ?

   1. A.2
   2. B.4
   3. C.6
   4. D.8
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   Answer: C

2. Q102013 · 14 Apr 2013

   What is the value of ${\log }_y{x}^5{\log }_x{y}^2{\log }_z{z}^3$ ?

   1. A.10
   2. B.20
   3. C.30
   4. D.60
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   Answer: C

3. Q112013 · 14 Apr 2013

   If A is a relation on a set R, then which one of the following is correct ?

   1. A.$R\subseteq A$
   2. B.$A\subseteq R$
   3. C.$A\subseteq (R\times R)$
   4. D.$R\subseteq (A\times A)$
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   Answer: C

4. Q122013 · 14 Apr 2013

   Let N be the set of natural numbers and $f:N\to N$ be a function given by $f(x)=x+1$ for $x\in N$. Which one of the following is correct ?

   1. A.f is one-one and onto
   2. B.f is one-one but not onto
   3. C.f is only onto
   4. D.f is neither one-one nor onto
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   Answer: B

5. Q742013 · 14 Apr 2013

   What is the range of the function $f(x)=\frac{|x|}{x},x\ne 0$ ?

   1. A.Set of all real numbers
   2. B.Set of all integers
   3. C.$\{-1,1\}$
   4. D.$\{-1,0,1\}$
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   Answer: C

6. Q752013 · 14 Apr 2013

   If $y=x^x$, what is $\frac{dy}{dx}$ at $x=1$ equal to ?

   1. A.0
   2. B.1
   3. C.$-1$
   4. D.2
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   Answer: B