Question : Directions: Select the number pair in which the two numbers are related in the same way as the two numbers of the following number pair. 16 : 224
Option 1: 20 : 400
Option 2: 22 : 440
Option 3: 25 : 650
Option 4: 17 : 289
Correct Answer: 22 : 440
Solution : Given: 16 : 224
Like, ((16 – 1) 2 – 1) = ((15) 2 – 1) = 225 – 1 = 224
Let's check the options – First option: 20 : 400; ((20 – 1) 2 – 1) = ((19) 2 – 1) = 361 – 1 = 360 ≠ 400 Second option: 22 : 440; ((22 – 1) 2 – 1) = ((21) 2 – 1) = 441 – 1 = 440 Third option: 25 : 650; ((25 – 1) 2 – 1) = ((24) 2 – 1) = 576 – 1 = 575 ≠ 650 Fourth option: 17 : 289; ((17 – 1) 2 – 1) = ((16) 2 – 1) = 256 – 1 = 255 ≠ 289
So, only the second option follows the same pattern as followed by the given pair. Hence, the second option is correct.
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