Question : Let $a b, a \neq b$, is a 2-digit prime number such that ba is also a prime number. The sum of all such numbers is:
Option 1: 407
Option 2: 418
Option 3: 396
Option 4: 374
Correct Answer: 418
Solution :
Given,
ab is a 2-digit prime number
a ≠ b
The list of such prime numbers is 13, 31, 17, 71, 37, 73, 79, 97.
The Sum of these numbers = 13 + 31 + 17 + 71 + 37 + 73 + 79 + 97
= 418
Hence, the correct answer is 418.
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