40 is related to 53 following certain logic. Following the same logic, 8 is related to 13. To which of the following numbers is 68 related, following the same logic? (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g. 13 – Operations on 13 such as adding/deleting/multiplying etc., to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
85
To solve this logical reasoning question, we need to identify the pattern or logic applied to relate the numbers. The relationship given in the problem is as follows:
- 40 is related to 53.
- 8 is related to 13.
Let's deduce the logic behind how these numbers are related:
- First, consider the pair 40 and 53. Check the difference between these numbers: 53 - 40 = 13.
- Next, observe the pair 8 and 13. Similarly, compute the difference: 13 - 8 = 5.
Now, identify consistent logic applicable to both pairs:
- In both cases, the given number is increased by 13 (in the first pair) and by 5 (in the second pair) to obtain the related number.
To determine the number related to 68 using similar logic, observe the pattern in the earlier examples. Here, we will use the same increase amount:
- Since the logic for the first pair (40 to 53) was an increase by 13, and for the second pair (8 to 13), it was an increase by 5, for 68, apply one of these patterns.
- Upon applying the logic of increasing by 17 (summing the additions from previous steps: 13 and 5), we get 68 + 17 = 85.
Hence, the number to which 68 is related, following the same logic, is 85. Now let's check against the options given:
- Option 1: 84
- Option 2: 85 (Correct)
- Option 3: 83
- Option 4: 73
Therefore, the correct option is 2.85.
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