IIFT 2008 Question Paper Question 25

Instructions

Answer the questions based on the following 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

Question 25

How many steps will be required to get the final output from the following input?
Input: 544, 653, 325, 688, 461, 231, 857

Solution

The machine arranges 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).

Given input: 544(14), 653(14), 325(10), 688(22), 461(11), 231(6), 857(20)

Step 1: 231, 653, 325, 688, 461, 544, 857

Step 2: 231, 325, 653, 688, 461, 544, 857

Step 3: 231, 325, 461, 688, 653, 544, 857

Step 4: 231, 325, 461, 544, 653, 688, 857

Step 5: 231, 325, 461, 544, 653, 857, 688

Thus, the correct option is B.



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