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.
