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Q.

Tell whether the following statement is true or false:


7×11×13×17+17   is a composite number.


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a

True

b

False 

answer is A.

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Detailed Solution

We need to check whether 7×11×13×17+17   is a composite number or not.
Simplifying,
⇒17 7×11×13+1   ⇒17 1001+1   ⇒17×1002 ⇒17034  
Now, the prime factors of 17034 are
=2×3×17×167  
As, 17034 have more than 2 prime numbers as factor, therefore 7×11×13×17+17   is a composite number.
Given statement is true.
Hence, option 1 is correct.
 
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