Logarithms & Binary Numbers · NDA previous year questions

2018 5 questions

1. Q1132018 · 9 Sept 2018

   The sum of the binary numbers $(11011{)}_2$, $(10110110{)}_2$ and $(10011x0y{)}_2$ is the binary number $(101101101{)}_2$. What are the values of x and y?

   1. A.$x=1,y=1$
   2. B.$x=1,y=0$
   3. C.$x=0,y=1$
   4. D.$x=0,y=0$
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   Answer: B

2. Q1142018 · 9 Sept 2018

   What is the sum of all three-digit numbers that can be formed using all the digits 3, 4 and 5, when repetition of digits is not allowed ?

   1. A.2664
   2. B.3882
   3. C.4044
   4. D.4444
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   Answer: A

3. Q1132018 · 22 Apr 2018

   The binary number expression of the decimal number 31 is

   1. A.1111
   2. B.10111
   3. C.11011
   4. D.11111
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   Answer: D

4. Q1142018 · 22 Apr 2018

   What is $$\frac{1}{{\log }_{2}N}+\frac{1}{{\log }_{3}N}+\frac{1}{{\log }_{4}N}+\dots +\frac{1}{{\log }_{100}N}$$ equal to $(N\ne 1)$?

   1. A.$\frac{1}{{\log }_{100!}N}$
   2. B.$\frac{1}{{\log }_{99!}N}$
   3. C.$\frac{99}{{\log }_{100!}N}$
   4. D.$\frac{99}{{\log }_{99!}N}$
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   Answer: A

5. Q1152018 · 22 Apr 2018

   What is the greatest integer among the following by which the number $5^5+7^5$ is divisible?

   1. A.6
   2. B.8
   3. C.11
   4. D.12
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   Answer: D