Which of the following is the digit for the sum of all of the distinct prime integers less than 20 ? A. $$4$$ B. $$5$$ C. $$6$$ D. $$7$$ E. $$8$$

Short Answer

Expert verified
The answer is D, which represents \(7\).

Step by step solution

01

Identify Prime Numbers

The prime numbers less than 20 are \(2, 3, 5, 7, 11, 13, 17, 19\).
02

Add Prime Numbers

Add all the identified prime numbers together: \(2+3+5+7+11+13+17+19 = 77\).
03

Compare the Sum

The sum we got is 77, therefore, the digit we are looking for is the second digit of the sum, which is \(7\). Compare the sum with the given options and choose the correct answer which matches the digit.

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