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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Question : Directions: Select the number pair in which the two numbers are related in the same way as the numbers of the following number pairs. 7 : 50 :: 9 : 82 :: 13 : 170 :: ?
Option 1: 16 : 225
Option 2: 15 : 226
Option 3: 15 : 225
Option 4: 15 : 224
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. 14 : 588
Option 1: 20 : 980
Option 2: 18 : 972
Option 3: 12 : 666
Option 4: 11 : 344
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. 7 : 198
Option 1: 9 : 162
Option 2: 5 : 240
Option 3: 6 : 72
Option 4: 8 : 228
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. 5 : 75
Option 1: 8 : 192
Option 2: 7 : 83
Option 3: 6 : 36
Option 4: 9 : 343
Question : Directions: Select the option that is related to the fifth number in the same way as the second number is related to the first number and the fourth number is related to the third number. 21 : 529 :: 25 : 729 :: 17 : ?
Option 1: 441
Option 2: 289
Option 3: 324
Option 4: 361
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