**Directions (1-5): A six digits number arrangement machine when given an input line of numbers rearranges them following a particular rule in each step. The following is an illustration of input and rearrangement.**

**Input: 785645 574831 931685 314876 613295 416793**

Step I: 774835 585641 914875 331686 616795 413293

Step II: 1609 1226 1789 1017 1411 706

Step III: 3528 3445 3678 3236 3633 625

Step IV: 18 16 24 14 15 13

Step V: 54 48 72 42 60 52

Step VI: @# ## @# ## ## @#

Step VI is the last step of the above input. As per rules followed in the above steps, find out in each of the given questions the appropriate steps for the given input.

**Input: “832719 523847 265793 731546 462753 183452”**

**Q1. Which of the following number is 2nd from the left side in step III?**

(a) 855

(b) 3753

(c) 3565

(d) 3468

(e) None of these

**Q2. What is the sum of the first and the last numbers in step V of the given input?**

(a) 150

(b) 122

(c) 113

(d) 120

(e) None of these

**Q3. What is the sum of the all digits of the number, which is 3rd from the right end in step IV of the given input?**

(a) 17

(b) 8

(c) 6

(d) 9

(e) None of these

**Q4. How many # are there in the final step?**

(a) 5

(b) 6

(c) 2

(d) 8

(e) None of these

**Q5. What is the product of 1st and 4th digit of a number, which is 4th from the left end in step I (digits are taken from the left end)?**

(a) 49

(b) 48

(c) 58

(d) 64

(e) None of these

**Solutions**

**Solutions (1-5):**

**Sol.** Different logic is applied in each step.

**Step I:** middle four digits of first number are interchanged by middle four digits of the second number. Similarly, middle four digits of third number are interchanged by middle four digits of the fourth number. This process continues with fifth and sixth number.

**Step II:** First break the number in two parts: 1st number = first three digits and 2nd number = last three digits of the original number. Then combine both 1st and 2nd number and get the resultant number in step II.

**Step III:** One is subtracted from the digits which are greater than 5 and 2 is added to the digits which are less than or equal to 5.

**Step IV:** sum of the digits is written.

**Step V:** odd numbers are multiplied by 4 whereas even numbers are multiplied by 3

**Step VI:** we write @, If the digit is odd and we write # if the digit is even.

**Input: 832719 523847 265793 731546 462753 183452**

**Step I:** 823849 532717 231543 765796 483453 162752

**Step II:** 1672 1249 774 1561 936 914

**Step III:** 3564 3468 666 3753 855 836

**Step IV:** 18 21 18 18 18 17

**Step V:** 54 84 54 54 54 68

**Step VI:** @# ## @# @# @# ##

**S1. Ans. (d)**

**S2. Ans. (b)**

**S3. Ans. (d)**

**S4. Ans. (d)**

**S5. Ans. (a)**

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