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
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 these.
Answer: Option a
ReplyDeleteExplanation:
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).
∴∴ 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.