Logarithms & Binary Numbers · NDA previous year questions

2016 5 questions

1. Q1192016 · 18 Sept 2016

   If the number 235 in decimal system is converted into binary system, then what is the resulting number ?

   1. A.$(11110011{)}_2$
   2. B.$(11101011{)}_2$
   3. C.$(11110101{)}_2$
   4. D.$(11011011{)}_2$
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   Answer: B

2. Q152016 · 17 Apr 2016

   What is the number of four-digit decimal numbers ($<1$) in which no digit is repeated?

   1. A.3024
   2. B.4536
   3. C.5040
   4. D.None of the above
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   Answer: B

3. Q162016 · 17 Apr 2016

   What is the number of different messages that can be represented by three 0's and two 1's?

   1. A.10
   2. B.9
   3. C.8
   4. D.7
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   Answer: A

4. Q1192016 · 17 Apr 2016

   What is the binary equivalent of the decimal number 0.3125?

   1. A.0.0111
   2. B.0.1010
   3. C.0.0101
   4. D.0.1101
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   Answer: C

5. Q1202016 · 17 Apr 2016

   If ${\log }_a(ab)=x$, then what is ${\log }_b(ab)$ equal to?

   1. A.$\frac{1}{x}$
   2. B.$\frac{x}{x+1}$
   3. C.$\frac{x}{1-x}$
   4. D.$\frac{x}{x-1}$
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   Answer: D