Is the statement given is true or false ?

[(7×11×13) + 13] is a composite number.

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True

False

answer is A.

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Detailed Solution

The given statement is true.
Concept- To solve this question, we need to know what a composite number is.
A composite number is a positive integer that can be formed by multiplying two smaller positive integers, or, equivalently, it is a positive integer that has at least one divisor other than 1 and itself.
Here, we will calculate the number from the expression given in the question statement, and then factorise the number. From the factors, we will identify if the number is a composite number or not as per the definition of composite number mentioned above.
Given expression is

Now,

, i.e.,

.
Since 1014 has a lot of other factors other than 1 and itself, it is a composite number, i.e.,
The expression [(7×11×13) + 13] which is equivalent to 1014 is also a composite number.
Hence, the given statement is true.

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