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


Team Careers360 6th Jan, 2024
Answer (1)
Team Careers360 11th Jan, 2024

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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