You are given and a tolerance Find a number such that whenever
A)0.04
B)0.0025
C)0.03
D)0.01

Question

You are given  and a tolerance  Find a number  such that  whenever  
A)0.04 
B)0.0025 
C)0.03 
D)0.01

Quizplus · Accepted Answer

The given numbers have a common prefix, 11eaa3e5_560f_ddb, except for the last 4 digits of each number. The first number, 3f1d39a2a8d8, has a tolerance of ±9776d4020f49, which means the number can be as small as 3f1c629ea898 or as large as 3f1eae5cb2b8. To find a number such that the next two numbers are within the tolerance range, we want to maximize the last 4 digits while ensuring that the number is within the tolerance range.

The last 4 digits of the first number are a8d8, and the last 4 digits of the second number are 9776d4020f49 - 3f1d39a2a8d8 = 63a9ac1e7b1. Therefore, we want to add as much as possible to a8d8, but ensure that the result is less than or equal to 63a9ac1e7b1, and also greater than or equal to 352af1162d9e (the last 4 digits of the third number).

The largest number we can add to a8d8 while staying within the tolerance range is 63a9ac1e7b1 - a8d8 = 63807f9593. Adding this to a8d8 gives us 3f1d9d799d6d, which is within the tolerance range and ensures that the next two numbers are also within the tolerance range.

To check, the last 4 digits of the fourth number (using the given pattern) should be 79d3, and the last 4 digits of the fifth number should be 4f4d. Plugging in 3f1d9d799d6d for the third number, we get:

Fourth number: 11eaa3e5_5610_04c9_9f8f_f3cab18779d3_TB5971_11
Fifth number: 11eaa3e5_5610_04ca_9f8f_57fd2a694f4d_TB5971_11

Thus, the best choice is B) 0.0025.

You Are Given and a Tolerance Find a Number