Logarithms & Binary Numbers · NDA previous year questions

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2009 9 questions

Q302009 · 30 Aug 2009
If $(10 x 010)_{2} - (11 y 1)_{2} = (10 z 11)_{2}$ , then what are the possible values of the binary digits $x, y, z$ respectively ?
1. A. $0, 0, 1$
2. B. $0, 1, 0$
3. C. $1, 1, 0$
4. D. $0, 0, 0$
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Answer: B
Q362009 · 30 Aug 2009
The number $0 \cdot 0011$ in binary system represents
1. A.rational number $3/8$ in decimal system
2. B.rational number $1/8$ in decimal system
3. C.rational number $3/16$ in decimal system
4. D.rational number $5/16$ in decimal system
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Answer: C
Q72009 · 19 Apr 2009
If $A = {a, b, c}$ and $R = {(a, a), (a, b), (b, c), (b, b), (c, c), (c, a)}$ is a binary relation on $A$ , then which one of the following is correct?
1. A. $R$ is reflexive and symmetric, but not transitive
2. B. $R$ is reflexive and transitive, but not symmetric
3. C. $R$ is reflexive, but neither symmetric nor transitive
4. D. $R$ is reflexive, symmetric and transitive
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Answer: C
Q82009 · 19 Apr 2009
If $lo g_{10} (x + 1) + lo g_{10} 5 = 3$ , then what is the value of $x$ ?
1. A. $199$
2. B. $200$
3. C. $299$
4. D. $300$
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Answer: A
Q92009 · 19 Apr 2009
What is the value of $2 lo g_{8} 2 - \frac{l o g _{3} 9}{3}$ ?
1. A. $0$
2. B. $1$
3. C. $8/3$
4. D. $16/3$
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Answer: A
Q172009 · 19 Apr 2009
What is the decimal equivalent of $(101.101)_{2}$ ?
1. A. $(5.225)_{10}$
2. B. $(5.525)_{10}$
3. C. $(5.625)_{10}$
4. D. $(5.65)_{10}$
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Answer: C
Q412009 · 19 Apr 2009
What is the binary equivalent of decimal number $(0.8125)_{10}$ ?
1. A. $(0.1101)_{2}$
2. B. $(0.1001)_{2}$
3. C. $(0.1111)_{2}$
4. D. $(0.1011)_{2}$
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Answer: A
Q422009 · 19 Apr 2009
1. A.Either $x + y = z$ or $x = y$
2. B.Either $x + y = - z$ or $x = z$
3. C.Either $x + z = y$ or $z = y$
4. D.Either $z + y = x$ or $x = y$
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Answer: B
Q432009 · 19 Apr 2009
1. A. $1$
2. B. $- 1$
3. C. $2$
4. D. $0$
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Answer: A