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Sequence

How many 5's ...

Question

How many 5's are there in the following sequence which are immediately followed by 3 but not immediately preceded by 7?
8 9 5 3 2 3 8 5 5 6 8 7 3 3 5 7 7 5 3 6 5 3 3 5 7 3 8

A

One

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B

Two

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C

Three

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D

Four

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Solution

The correct option is A Two
The numbers satisfying the given conditions can be seen as follow :
8 9 5 3 2 3 8 5 5 6 8 7 3 3 5 7 7 5 3 6 5 3 3 5 7 3 8
Clearly, there are two such numbers.

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7

which is not immediately preceded by

5

but is immediately followed by either

2

3

. How many such

7^{'} s

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Q. Count each 7 which is not immediately preceded by 5 but is immediately followed by either 2 or 3.
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