NIMCET 2008 Previous Year Questions (PYQs) – Page 12 of 12
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The function AB'C + A'BC + ABC' + A'B'C + AB'C' is equivalent to
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Solution
By Boolean simplification, the given expression reduces to
A'B + AC + AB'.
The addition of 4 bit, 2’s complement binary numbers 1101 and 0100 results in
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Solution
1101 is a 4-bit 2’s complement number.
Its MSB is 1, so it is negative.
1101 = −3
0100 = +4
Adding:
1101
+0100
=10001
Taking only 4 bits → 0001
The addition of 4 bit, 2’s Given, √(224)ᵣ = (13)ᵣ, the value of radix r iscomplement binary numbers 1101 and 0100 results in
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Solution
(13)ᵣ = r + 3
So,
√(224)ᵣ = r + 3
(224)ᵣ = 2r² + 2r + 4
(r + 3)² = 2r² + 2r + 4
r² + 6r + 9 = 2r² + 2r + 4
r² − 4r − 5 = 0
r = 5 (valid radix)
Let A = 11111010 and B = 00001010 be two 8 bit 2’s complement numbers. Their product in 2’s complement is
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Solution
A = 11111010 → −6
B = 00001010 → +10
Product = −60
+60 in binary = 00111100
2’s complement of 00111100 = 11000100
Identify the logic function performed by the circuit 1
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Solution
The circuit is constructed only using NOR gates.
The given interconnection of NOR gates realizes the Exclusive NOR (XNOR) function.
Choose the most appropriate meaning for the following idiom:
‘To fish in troubled waters’
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Solution
The idiom means taking advantage of a difficult or confused situation for personal gain.
Read the following sentence and choose one underlined word or phrase that would not be appropriate in standard English.
One of "the chair’s legs" was broken and the upholstery "needed" mending.
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Solution
Correct form is “one of the chair legs”, not chair’s legs.
So the incorrect word is chair’s.
Each sentence given in the questions has two blanks, each blank indicating that something has been
omitted. Beneath the sentence are four sets of words. Choose the set of words for each blank that best
fits the meaning of the sentence as whole.
Greek philosophers tried to ______ contemporary notions of change and stability by postulating
the existence of the atom, ____________ particle from which all varieties of matter are formed.
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Solution
Greek philosophers tried to reconcile ideas of change and stability.
The atom was believed to be indivisible.
Each sentence given in the questions has two blanks, each blank indicating that something has been
omitted. Beneath the sentence are four sets of words. Choose the set of words for each blank that best
fits the meaning of the sentence as whole.
The Tata Group will need all its considerable management ______ and ______ to manage tough challenges ahead after taking over Corus Steel.
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Solution
Management knowledge” and manpower together correctly express the resources required to handle challenges.
In each of the following questions, a related pair of words or phrases is followed by four pairs of words
or phrases. Select the pair that best expresses a relationship similar to that expressed in the original
pair.
INFLAMMABLE : IGNITED : : ___________: ____________
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Solution
Inflammable means capable of being ignited.
Similarly, fragile means capable of being shattered.
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