Question

How many even integers greater than two and less than twenty are equal in value to the sum of two prime numbers?

• A. $5$
• B. $7$
• C. $8$
• D. $9$
• E. $10$

Answer 1

Answer: (C)

$8$

Even integers between $2$ and $20$ are $4,6,8,10,12,14,16,18$
$8$ even integers are there.
Sum of two prime numbers will add up to all these even integers, as shown below:
$2+2=4$
$3+3=6$
$5+3=8$
$5+5=10$
$7+5=12$
$7+7=14$
$11+5=16$
$11+7=18$
So, answer is $8$ as given in C.