1 questions with worked solutions.
Q1. A number arrangement machine is given an input line of numbers and arranges them following a particular rule. The following is an illustration of an input and its rearrangement. Input: 65, 18, 41, 53, 72, 34, 89, 26 Step 1: 195, 36, 123, 159, 144, 68, 52, 267 Step 2: 159, 159, 36, 303, 76, 335, 215 Step 3: 45, 45, 18, 0, 42, 45, 10 Step 4: 22.5, 22.5, 9, 0, 21, 22.5, 5 Step 4 is the last step of the above arrangement as the intended arrangement is obtained. As per the rules followed in the given steps, find the appropriate steps for the input: 25, 22, 93, 56, 17, 74, 39. What is the product of the numbers that are third from the right end and third from the left end in the final step of the given arrangement?
- 189
- 72
- 13.5
- 180
Answer: 13.5
The machine follows a repeated transformation pattern across the steps, eventually producing the final arrangement. In the final step for the given input, the 3rd from the left and 3rd from the right values are 9 and 1.5 respectively, and their product is 13.5.