If the digits of the number which is third from the left in Step I are arranged in ascending order t...........

Logical Reasoning(SBI-PO) Input-Output

Directions: Study the following information carefully and answer the questions given below: When a number arrangement machine is given an input line of numbers, it arranges them following a particular rule. The following is an illustration of input and rearrangement:

Input: 67543 49652 86235 27549 59246 38673

Step I: 42412 36510 48115 14436 45124 24521

Step II: 14422 53160 51184 31644 51442 51422

Step III: 112 150 154 155 133 101

Step IV: 16112 36150 100154 121155 49133 4101

And Step IV is the last step of the above arrangement as the intended arrangement is obtained.

As per the rules followed in the given steps, find out the appropriate steps for the given input:

Input: 45483 45192 35654 79583 43235 55672

If the digits of the number which is third from the left in Step I are arranged in ascending order then which digit is third from the right?

This questions was previously asked in

SBI PO Mains (30 Jan, 2023)

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Explanation:

Correct option 3: 2

Understanding the Number Arrangement Machine

Deducing the Rule for Step I

Let's carefully examine the example input and its corresponding Step I output:

Input Number (d1d2d3d4d5)	Step I Number (s1s2s3s4s5)
67543 (d1=6, d2=7, d3=5, d4=4, d5=3)	42412 (s1=4, s2=2, s3=4, s4=1, s5=2)
49652 (d1=4, d2=9, d3=6, d4=5, d5=2)	36510 (s1=3, s2=6, s3=5, s4=1, s5=0)
86235 (d1=8, d2=6, d3=2, d4=3, d5=5)	48115 (s1=4, s2=8, s3=1, s4=1, s5=5)
27549 (d1=2, d2=7, d3=5, d4=4, d5=9)	14436 (s1=1, s2=4, s3=4, s4=3, s5=6)
59246 (d1=5, d2=9, d3=2, d4=4, d5=6)	45124 (s1=4, s2=5, s3=1, s4=2, s5=4)
38673 (d1=3, d2=8, d3=6, d4=7, d5=3)	24521 (s1=2, s2=4, s3=5, s4=2, s5=1)

Let's look for patterns in how the digits of the input number relate to the digits of the Step I number. We can examine digits based on their position.

Consider the 3rd digit (d3) of the input and the 3rd digit (s3) of the Step I number.
- 67543 > 42412: d3=5, s3=4 (5-1=4)
- 49652 > 36510: d3=6, s3=5 (6-1=5)
- 86235 > 48115: d3=2, s3=1 (2-1=1)
- 27549 > 14436: d3=5, s3=4 (5-1=4)
- 59246 > 45124: d3=2, s3=1 (2-1=1)
- 38673 > 24521: d3=6, s3=5 (6-1=5)

The rule for the 3rd digit of Step I appears to be: s3 = d3 - 1.

Now let's look at the first two digits (d1, d2) of the input and the first two digits (s1, s2) of the Step I number.

67543 > 42412: d1=6, d2=7. 6 * 7 = 42. Concatenating 4 and 2 gives 42. This matches s1s2.
49652 > 36510: d1=4, d2=9. 4 * 9 = 36. Matches s1s2.
86235 > 48115: d1=8, d2=6. 8 * 6 = 48. Matches s1s2.
27549 > 14436: d1=2, d2=7. 2 * 7 = 14. Matches s1s2.
59246 > 45124: d1=5, d2=9. 5 * 9 = 45. Matches s1s2.
38673 > 24521: d1=3, d2=8. 3 * 8 = 24. Matches s1s2.

The rule for the first two digits of Step I appears to be: s1s2 = d1 * d2, where the digits of the product are concatenated. Since all products are two digits in the example, s1 is the tens digit and s2 is the units digit of the product.

Finally, let's look at the last two digits (d4, d5) of the input and the last two digits (s4, s5) of the Step I number.

67543 > 42412: d4=4, d5=3. 4 * 3 = 12. Concatenating 1 and 2 gives 12. This matches s4s5.
49652 > 36510: d4=5, d5=2. 5 * 2 = 10. Matches s4s5.
86235 > 48115: d4=3, d5=5. 3 * 5 = 15. Matches s4s5.
27549 > 14436: d4=4, d5=9. 4 * 9 = 36. Matches s4s5.
59246 > 45124: d4=4, d5=6. 4 * 6 = 24. Matches s4s5.
38673 > 24521: d4=7, d5=3. 7 * 3 = 21. Matches s4s5.

The rule for the last two digits of Step I appears to be: s4s5 = d4 * d5, concatenating the digits of the product. All products are two digits in the example.

Combining these rules, the Step I number (s1s2s3s4s5) for a five-digit input number (d1d2d3d4d5) is formed by concatenating the two digits from the product (d1*d2), the single digit from (d3-1), and the two digits from the product (d4*d5).

Applying the Rule to the New Input

The given input line of numbers is: 45483 45192 35654 79583 43235 55672.

We need to find the Step I numbers for each of these input numbers using the deduced rule.

Input Number	d1*d2	d3-1	d4*d5	Step I Number
45483 (d1=4,d2=5,d3=4,d4=8,d5=3)	4*5=20	4-1=3	8*3=24	20324
45192 (d1=4,d2=5,d3=1,d4=9,d5=2)	4*5=20	1-1=0	9*2=18	20018
35654 (d1=3,d2=5,d3=6,d4=5,d5=4)	3*5=15	6-1=5	5*4=20	15520
79583 (d1=7,d2=9,d3=5,d4=8,d5=3)	7*9=63	5-1=4	8*3=24	63424
43235 (d1=4,d2=3,d3=2,d4=3,d5=5)	4*3=12	2-1=1	3*5=15	12115
55672 (d1=5,d2=5,d3=6,d4=7,d5=2)	5*5=25	6-1=5	7*2=14	25514

The numbers in Step I for the given input are: 20324, 20018, 15520, 63424, 12115, 25514.

Answering the Specific Question

The question asks: "If the digits of the number which is third from the left in Step I are arranged in ascending order then which digit is third from the right?"

Identify the third number from the left in Step I.
The numbers in Step I are: 20324, 20018, 15520, 63424, 12115, 25514.

The third number from the left is 15520.
Extract the digits of this number.
The digits of 15520 are 1, 5, 5, 2, and 0.
Arrange the digits in ascending order.
Arranging the digits {1, 5, 5, 2, 0} in ascending order gives the sequence: 0, 1, 2, 5, 5.
Identify the third digit from the right in the ascending sequence.
Counting from the right of the sequence (0, 1, 2, 5, 5):
- 1st from the right: 5
- 2nd from the right: 5
- 3rd from the right: 2
The third digit from the right is 2.