Ashifur September 9, 2023 - 19:40
Problem: Find the three-digit prime number whoes sum of the digits is 11 and each digit representing prime number . justify your answer.

View all: BANGLADESH DEVELOPMENT BANK LTD (SO) WRITTEN QUESTION (MATH) SOLVE | 2018

Correct Answer: 227 & 353

Explanation:

Since the sum of the 3-digits is 11 and each digit represents a prime number,

so the 3-digits may be 2,2,7 or 3. 3. 5 because 2 + 2 + 7 = 11 and 3 + 3 + 5 = 11

Now using the digit 2. 2. 7 we have the prime number 227. Because other two numbers i,e 722 and 272 are divisible by 2 anti thus are not prime.

Again. using the digit 3, 3, 5 we have the number 353 which is a prime number.

But 533 which is divisible by l3 and thus 533 is not prime and 335 is divisible by 5 and thus 335 is not prime

So. the three-digit prime number whose sum of the digits is 11 and each digit representing a prime number is 227 & 353. (ans)

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