Read the following passage and answer the given questions. A word and number sorting machine, when given an input of words and numbers, rearranges them in a particular manner step by step, as indicated below, until all the words and numbers are arranged. Given below is an illustration of this arrangement. Input: 37 50 FGN KZU 74 YNS 51 100 ORS 17 HPBM Step 1: 100 37 50 FGN KZU 74 YNS ORS 17 HPBM 51 Step 2: 74 100 50 FGN KZU YNS ORS 17 HPBM 51 37 Step 3: 50 74 100 FGN KZU YNS ORS HPBM 51 37 17 Step 4: 50 74 100 EFGNM KZU YNS ORS HPBM 51 37 17 Step 5: 50 74 100 EFGNM GHPBML KZU YNS ORS 51 37 17 Step 6: 50 74 100 EFGNM GHPBML JKZUT YNS ORS 51 37 17 Step 7: 50 74 100 EFGNM GHPBML JKZUT NORSR YNS 51 37 17 Step 8: 50 74 100 EFGNM GHPBML JKZUT NORSR XYNSR 51 37 17 And, step 8 is the last step of the above input, as per the rules followed in the steps given above; find out in each of the following questions the appropriate step for the given input. Input: ETU 75 GTQ 14 RTV 22 NTS 32 MTW 67 FSN 19 CER How many elements are there in between 'BCERQ' and 75 in the step 9?

### Concept & Pattern Logic In sequential output tracing, we must first decode the hidden rules applied to numbers and words by analyzing the illustration. **1. Number Logic:** In the first 3 steps, numbers are arranged. The highest even number goes to the extreme left, and the highest odd number goes to the extreme right. **2. Word Logic:** Once numbers are sorted (Step 3), words are arranged alphabetically one by one. During arrangement, each word transforms by adding its first letter's predecessor to the front and its last letter's predecessor to the end (e.g., FGN becomes EFGNM). ### Step-by-Step Solution Let us trace the given input fully based on the decoded logic. **Input:** ETU 75 GTQ 14 RTV 22 NTS 32 MTW 67 FSN 19 CER **Sorting Numbers:** * **Step 1:** 32 ETU GTQ 14 RTV 22 NTS MTW 67 FSN 19 CER 75 * **Step 2:** 22 32 ETU GTQ 14 RTV NTS MTW FSN 19 CER 75 67 * **Step 3:** 14 22 32 ETU GTQ RTV NTS MTW FSN CER 75 67 19 **Sorting Words:** Alphabetical order required: CER, ETU, FSN, GTQ, MTW, NTS, RTV. * **Step 4 (CER $\rightarrow$ BCERQ):** 14 22 32 BCERQ ETU GTQ RTV NTS MTW FSN 75 67 19 * **Step 5 (ETU $\rightarrow$ DETUT):** 14 22 32 BCERQ DETUT GTQ RTV NTS MTW FSN 75 67 19 * **Step 6 (FSN $\rightarrow$ EFSNM):** 14 22 32 BCERQ DETUT EFSNM GTQ RTV NTS MTW 75 67 19 * **Step 7 (GTQ $\rightarrow$ FGTQP):** 14 22 32 BCERQ DETUT EFSNM FGTQP RTV NTS MTW 75 67 19 * **Step 8 (MTW $\rightarrow$ LMTWV):** 14 22 32 BCERQ DETUT EFSNM FGTQP LMTWV RTV NTS 75 67 19 * **Step 9 (NTS $\rightarrow$ MNTSR):** 14 22 32 BCERQ DETUT EFSNM FGTQP LMTWV MNTSR RTV 75 67 19 * **Step 10 (RTV $\rightarrow$ QRTUV):** 14 22 32 BCERQ DETUT EFSNM FGTQP LMTWV MNTSR QRTUV 75 67 19 We look at Step 9: 14 22 32 BCERQ DETUT EFSNM FGTQP LMTWV MNTSR RTV 75 67 19. The elements between 'BCERQ' and '75' are: DETUT, EFSNM, FGTQP, LMTWV, MNTSR, and RTV. Counting them yields exactly 6 elements. ### Exam Strategy & Shortcut Because you generate the full sequence trace once for the entire set of questions, answering this is purely a matter of careful counting on your scratchpad. Always place distinct spaces between terms when writing your trace to avoid miscounting elements. ### Common Pitfall A common pitfall is counting the target elements themselves (BCERQ and 75) as part of the "in between" count. "In between" strictly means exclusive of the boundaries. ### Final Answer Therefore, the correct answer is **6**.