Explanation:

Let’s break it down step by step:

- Look at the pairs: 60, 152; 16114, 18; 1715, 19; ?

- Notice the structure: There are pairs of numbers, then a single number.

- For each pair, if you add the numbers together:

  - 60 + 152 = 212

  - 16114 + 18 = 16132

  - 1715 + 19 = 1734

- But those sums don’t match an obvious sequence. Let’s check if the second number in each pair has a pattern with the first:

- Maybe look at splitting the numbers: Take 60 as 6 0, 152 as 15 2. See if the single number between pairs is derived from the digits.

  - 60 (6+0=6), 152 (1+5+2=8), 16114 (1+6+1+1+4=13), 18 (1+8=9), 1715 (1+7+1+5=14), 19 (1+9=10)

- But there is no clear link there.

- Wait… looking at the numbers: 60, 152, 16114, 18, 1715, 19, ?

- Notice the pattern: After 60 comes 152 (increased); next is 16114, a big jump; then 18; then 1715, jumping; then 19.

- See if it alternates: Big number, then smaller, then big, then small.

- Check the difference between the “big” numbers and their following “small” numbers:

  - 152 – 60   = 92

  - 16114 – 18 = 16096

  - 1715 – 19  = 1696

- Not a clear difference pattern.

- Now, check the sequence of small numbers: 18, 19. So after 19, possibly 20.

- But let’s try to focus on options.

- Your options: 23, 13, 19, 7

- After 19, maybe something next in the sequence, but if you see the “big” numbers before the “small” number, maybe there’s a pattern: 18 to 19 is +1.

- It’s possible the pattern goes like 18, 19, 20—which would be 20, but that’s not an option.

- Now, let’s check another thing. If we look at the numbers as like 15*2 = 30, or other arithmetic, nothing concrete.

- But, considering options, 13, 19, and 23 are all primes. Maybe 7 as well.

- The progression 18 ? 19, so next would be 20 or a similar increase. 23 is the next prime after 19.

Here’s what this really means: While there is no clear mathematical operation, by pattern intuition and possible missing number after 19 in a prime sequence would be 23.

So the correct answer:

Option 1: 23 is correct.

- The pattern is less about clear arithmetic than a progressing sequence using primes after “small” numbers. 23 makes the most sense after 19.

- The other options don’t fit as logically or intuitively after 19.

- 23 is also the next prime after 19, which often is a test pattern.

Hope that helps you see how it was figured out.