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
Correct Answer: 15 : 226
Solution :
Given:
7 : 50 :: 9 : 82 :: 13 : 170 :: ?
Like, 7 : 50→(7)
2
+ 1 = 49 + 1 = 50
9 : 82→(9)
2
+ 1 = 81 + 1 = 82
13 : 170→(13)
2
+ 1 = 169 + 1 = 170
Let's check the options –
First option:
16 : 225; (16)
2
+ 1 = 256 + 1 = 257 ≠ 225
Second option:
15 : 226; (15)
2
+ 1 = 225 + 1 = 226
Third option:
15 : 225; (15)
2
+ 1 = 225 + 1 = 226 ≠ 225
Fourth option:
15 : 224; (15)
2
+ 1 = 225 + 1 = 226 ≠ 224
So, only the second option follows the same pattern as followed by the given pair. Hence, the second option is correct.
