Cracking the Code: Find the Next Number in This Series

What is the next number in the following series: 1, 5, 4, 16, 14, 42, ...?

• A. 39
• B. 18
• C. 41
• D. 9

Answer: (A)

To understand why the correct answer is 39, it's important to analyze the series. The numbers alternate between two patterns: one sequence appears to be increasing while the other decreases. In the series provided—1, 5, 4, 16, 14, 42—the first sequence consists of the numbers at the odd positions (1, 4, 14), while the second sequence comprises the numbers at the even positions (5, 16, 42). Looking at the odd-positioned numbers: - The first number is 1. - The second odd-positioned number is 4, which follows a pattern of multiplying the previous odd-positioned number by 4 (1 x 4 = 4). - The third odd-positioned number is 14, calculated by adding 10 to the second odd-positioned number (4 + 10 = 14). In maintaining this pattern, the next odd-positioned number should continue the growth seen from 14. Following the pattern where each new odd-positioned number adds an incrementally higher number, we transition from adding 4 (from 1 to 4) and from 4 to 14, with an increasing increment of 10. Thus

Have you ever tried to crack a numerical series puzzle? It’s a great way to sharpen your problem-solving skills—especially if you’re prepping for the Criteria Cognitive Aptitude Test (CCAT). So, how do you tackle a series like this one: 1, 5, 4, 16, 14, 42, ...? Let’s break it down.

First thing's first, identifying what’s going on with the numbers is key. The series orders itself in a very specific way, and recognizing the pattern is half the game! Can you see it yet? There are two separate sequences hidden in plain sight. The odd-positioned numbers (1, 4, 14) follow one pattern while the even-positioned numbers (5, 16, 42) stick to another. This kind of numerical play is common in cognitive assessments—you’ll want to get comfortable with it.

Now, let's look closely at our odd-positioned numbers. The first number is 1. Then, we jump to 4, which, you’ll notice, is 1 multiplied by 4. Pretty nifty, right? From there, we hit 14, which is 4 plus 10. If you follow this growth carefully, you’ll start to see the beauty in the structure of these numbers. The odd-position sequence increases by multiplying and then adding: 4 (1 x 4 = 4), followed by adding 10 to get to 14.

So where do we go from here? The pattern suggests the next odd-positioned number will, logically, add a larger increment. We increased from adding 4 to adding 10; what could be next? Possibly, we add 25 this time, which brings us to 39 (14 + 25 = 39). This means the next number in the sequence is, indeed, 39. Got it?

Now, how does this knowledge help you as you prepare for the CCAT? Understanding how to dissect and analyze these series is crucial. Practice makes perfect, and the more you train your brain to recognize patterns, the better you will perform.

Additionally, while it might seem daunting at first, remember that there are heaps of resources available—workbooks, online quizzes, and study groups—to support you on your CCAT journey. Consider mixing in different exercises that challenge both your analytical and verbal reasoning, as both types of questions will appear on the test.

In conclusion, don’t shy away from challenges like numerical series. Instead, embrace them! With the right tools, a bit of practice, and a dash of patience, you’ll find yourself confidently answering such questions in no time. And who knows? You might even impress a few friends along the way with your newfound skills!