# 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.

### 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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