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Q.

Which of the following is an open statement?


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a

A trapezoid is four-sided polygon

b

Albany is a city in New York State

c

It was blue with white stripes

d

5(20)+3=113   

answer is C.

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Detailed Solution

The fact that a trapezoid is a four-sided polygon is shown in option (1). Let the shape of the trapezoid be
seoIts four edges are easily visible. So the above statement is always exact for any trapezoid. Therefore, it is not an open statement that a trapezoid is a four-sided polygon.
The fact that Albany is a city in the state of New York is now selectable (2). Because it is a fact, it is also always true. Therefore, saying that Albany is a city in the state of New York is also not true.
Option (3) says it was blue with white stripes. This statement is open and subject to individual interpretation. Consequently, it may be true for some and false for others. So this is an open statement.
In option (4), we have 5(20)+3=113  . But the value is 5(20)+3=100+3=103  , which is always false. Hence, it cannot be an open statement.
Hence, the correct option is 3.
 
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Which of the following is an open statement?