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Q:

1.Oxygen is a gas

2.This cylinder contains gas

Conclusion: This cylinder contains Oxygen

The conclusion drawn is

A) True	B) Probably true
C) False	D) Irrelavent

Answer & Explanation Answer: A) True

Explanation:

It is true

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Filed Under: Verification of Truth of the statement

Q:

The average of 11 numbers is 10.9. If the average of the first six numbers is 10.5 and that of the last six numbers is 11.4, then the middle number is :

A) 10.5	B) 11.5
C) 12.5	D) 13.5

Answer & Explanation Answer: B) 11.5

Explanation:

Middle numbers = [(10.5 x 6 + 11.4 x 6) - 10.9 x 11] = (131.4 - 119-9) = 11.5.

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Q:

Give the truth table for a Half Adder. Give a gate level Implementation of the same.

Answer

TRUTH TABLE FOR HALF ADDER

A B SUM CARRY

0 0 0 0

0 1 1 0

1 0 1 0

1 1 0 1

INPLEMENTATION:

For SUM, The two inputs A and B are given to XOR gate.

For Carry, The two inputs A and B are given to AND gate.

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Subject: Hardware

Q:

The average age of the boys in a class is 16 years and that of the girls is 15 years. The average age for the whole class is :

A) 15	B) 20
C) 21	D) data inadequate

Answer & Explanation Answer: D) data inadequate

Explanation:

Clearly, to find the average, we ought to know the number of boys, girls or students in the class, neither of which has been given.

So, the data provided is inadequate.

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Q:

The average of the two-digit numbers, which remain the same when the dibits inter-change their positions, is :

A) 53	B) 54
C) 55	D) 56

Answer & Explanation Answer: C) 55

Explanation:

Average = (11 + 22 + 33 + 44 + 55 + 66 + 77 + 88 + 99) / 9

=( (11 + 99) + (22 + 88) + (33 + 77) + (44 + 66) + 55) / 9

= (4 * 110 + 55)/9 = 495 / 9 = 55.

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Q:

16 children are to be divided into two groups A and B of 10 and 6 children. The average percent marks obtained by the children of group A is 75 and the average percent marks of all the 16 children is 76. What is the average percent marks of children of group B ?

A) 233/3	B) 243/4
C) 254/5	D) 345/7

Answer & Explanation Answer: A) 233/3

Explanation:

Required average = [(76 * 16) - (75 * 10)] / 6 = (1216 - 750)/6 = 466/3 = 233 /3.

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Q:

10 years ago, the average age of a family of 4 members was 24 years. Two children having been born (with age diference of 2 years), the present average age of the family is the same. The present age of the youngest child is :

A) 1	B) 2
C) 3	D) 4

Answer & Explanation Answer: C) 3

Explanation:

Total age of 4 members, 10 years ago = (24 x 4) years = 96 years.

Total age of 4 members now = [96 + (10 x 4)] years = 136 years.

Total age of 6 members now = (24 x 6) years = 144 years.

Sum of the ages of 2 children = (144 - 136) years = 8 years.

Let the age of the younger child be x years.

Then, age of the elder child = (x+2) years.

So, x+(x+2) =8 <=> x=3

Age of younger child = 3 years.

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Q:

Suppose you have a computional circuit between two registers driven by a clock. What will you do if the delay of the combinational circuit is greater than your clock signal?

Answer

Use the concept of register-retiming.

divide the totla combinatorial delay in two segments such that individually the delay is less the clock period.

this can be done by inserting a flip-flop in the combinational path.

e.g.,

clock period --- 5 ns

total cominational delay ---- 7

then divide the 7ns path in two path of 4 or 3 (best resutls are obtained if delays are same for both path i.e 3.5ns) by inserting a flip-flop in between.

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Subject: Hardware

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