# Section-1: Numerical Logic Solved QuestionLogical Reasoning Discussion

Common Information

A number arrangement machine, when given a particular input, rearranges it following a particular rule. Illustrations of the input and the steps of arrangement is given below.

Input: 245, 316, 436, 519, 868, 710, 689

Step 1: 710, 316, 436, 519, 868, 245, 689

Step 2: 710, 316, 245, 519, 868, 436, 689

Step 3: 710, 316, 245, 436, 868, 519, 689

Step 4: 710, 316, 245, 436, 519, 868, 689

Step 4 is the last step for the given input

 Q. Common Information Question: 1/3 If the input is given as “655, 436, 764, 799, 977, 572, 333”, which of the following step will be “333, 436, 572, 655, 977, 764, 799”?
 ✔ A. Step Third ✖ B. Step Second ✖ C. Step Fourth ✖ D. None of the above

Solution:
Option(A) is correct

The machine is arranging the numbers in the increasing order of the sum of the digits on the number.

Input: 245 (11), 316 (10), 436 (13), 519 (15), 868 (22), 710 (8), 689 (23).

The number in the bracket indicates the sum of digits of the given number.

Step 1: 710 (8), 316 (10), 436 (13), 519 (15), 868 (22), 245 (11), 689 (23).

$\therefore$ The machine has swapped 710 (8) with 245 (11).

Step 2: 710 (8), 316 (10), 245 (11), 519 (15), 868 (22), 436 (13), 689 (23).

Thus it has swapped 436 (13) with 245 (11).

Step 3: 710 (8), 316 (10), 245 (11), 436 (13), 868 (22), 519 (15), 689 (23).

Thus it has swapped 436 (13) with 519 (15).

Step 4: 710 (8), 316 (10), 245 (11), 436 (13), 519 (15), 868 (22), 689 (23).

Thus it has swapped 519 (15) with 868 (22).

Going by the logic mentioned above,

Input: 655 (16), 436 (13), 764 (17), 799 (25), 977 (23), 572 (14), 333 (9).

Step 1: 333 (9), 436 (13), 764 (17), 799 (25), 977 (23), 572 (14), 655 (16).

Step 2: 333 (9), 436 (13), 572 (14), 799 (25), 977 (23), 764 (17), 655 (16).

Step 3: 333 (9), 436 (13), 572 (14), 655 (16), 977 (23), 764 (17), 799 (25).

This is the required sequence which is achieved in Step 3.

Hence, option A.