# Aptitude [ST Microelectronics Placement]: Sample Questions 38 - 40 of 40

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## Question 38

Aptitude
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### Write in Short

Next number in the series 1,1/2,1/4,1/8, ?

### Explanation

• Here, the series is in geometric progression.
• The first term is 1 and ratio of two terms is r = 1/2
• Like, first term, a = 1
• Second term, ar-1 = =
• Third term, ar-2 = =
• Fourth term, ar-3 = =
• So, next number in the series, fifth term, ar-4 = =

## Question 39

Aptitude

### Write in Short

What will be the transfer function of poles and zeros given in graph. From the Figure We Can Notice There Are Two Zeros (Marked By) and Two Poles (Marked by X)

### Explanation

Here, zeros of the system are at 0 and 2 on X axis

And poles of the system are at 3 and 4 on the X axis

Transfer function of the system is given by,

G (s) = (s - z1) (s - z2) … (s - zn) / (s - p1) (s - p2) … (s - p3)

So, for given system, transfer function will be,

## Question 40

Aptitude
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### Write in Short

In 6 seconds a light flashes once. In one hour how many times it will flash?

### Explanation

1 hour = 60 minutes

1 minute = 60 seconds

So 1 hour = 60 60 = 3600 seconds

Here, in every 6 seconds 1 time light flashes

Then in 3600 seconds light flashes (?) times

=

= 600 times

Considering first and last seconds, 600 + 1 = 601 total flashes

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