Multiple choice

If Step 3 of the input is “172 96 138 30 82 0 28”, what will be the input?

Directions: In the following illustration, an input is given followed by steps performed on it. Carefully observe the changes and find the pattern and answer the question given regarding the new input.

Input: 2 5 7 6 8 9 1

Step 1: 5 26 50 37 65 82 2
Step 2: 8 23 53 34 68 79 5
Step 3: 18 48 108 70 138 160 12
Step 4: 13 22 58 47 73 78 70
Step 5: 31 70 166 117 211 238 22
Step 6: 100 205 282 327 448 259

Step 6 is the last step and the output.

  1. Input: 9 7 8 4 6 1 3

  2. Input: 9 7 8 4 5 3 1

  3. Input: 9 7 8 4 5 1 3

  4. Input: 9 7 8 5 4 3 1

  5. Input: 9 7 8 5 4 1 3
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A Correct answer
Explanation

This is the correct option as explained: Step 2 will be {(Step 3) ÷ 2} - 1. Hence, take 1st element of Step 3, i.e. 172. Now, element at this position in Step 2 will be {(172) ÷ 2} - 1 = 86 - 1 = 85. Now, take 2nd element of Step 3, i.e. 96. Now, element at this position in Step 2 will be {(96) ÷ 2} - 1 = 48 - 1 = 47. Now, Step 1 = Step 2 - 3, Step 2 + 3 alternately. Hence, 85 becomes 82 and 47 becomes 50 and so on. Finally, the input will be √(Step 1 - 1). Hence, input becomes: Step 3: 172 96 138 30 82 0 28 Step 2: 85 47 68 14 40 -1 13 Step 1: 82 50 65 17 37 2 10 Input: 9 7 8 4 6 1 3

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