Select the set in which the numbers are related in the same way as are the numbers of the following sets: (19, 456, 6) and (16, 320, 5). Operations should be performed on the whole numbers without breaking them into digits.

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Accepted Answer

Step 1: Analyze the given sets:
Set 1: (19, 456, 6)
Set 2: (16, 320, 5)

Step 2: Check the relationship between the numbers in each set.
Try to find a formula involving the first two numbers that results in the third number.

Step 3: For (19, 456, 6):
Check if 456 divided by 19 equals 24 (456 / 19 = 24).
Check if 24 divided by 4 equals 6 (24 / 4 = 6).

Step 4: For (16, 320, 5):
Check if 320 divided by 16 equals 20 (320 / 16 = 20).
Check if 20 divided by 4 equals 5 (20 / 4 = 5).

Step 5: The pattern is:
Third number = (Second number / First number) / 4

Step 6: Check options:
Option 1: (18, 378, 7)
378 / 18 = 21; 21 / 4 = 5.25 ≠ 7

Option 2: (14, 210, 5)
210 / 14 = 15; 15 / 4 = 3.75 ≠ 5

Option 3: (21, 504, 8)
504 / 21 = 24; 24 / 4 = 6 ≠ 8

Option 4: (18, 648, 9)
648 / 18 = 36; 36 / 4 = 9 = third number

Therefore, option 4 follows the same relationship as the given sets.

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