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.
121 : 145 :: 169 : 197 :: 256 : ?
Option 1: 325
Option 2: 280
Option 3: 290
Option 4: 288
Correct Answer: 290
Solution :
Given:
121 : 145 :: 169 : 197 :: 256 : ?
Add 1 to the square root of the first number. Then find the square and add 1 to get the second number.
121 : 145→√121 = 11; (11 + 1)
2
+ 1 = (12)
2
+ 1 = 144 + 1 = 145
169 : 197→√169 = 13; (13 + 1)
2
+ 1 = (14)
2
+ 1 = 196 + 1 = 197
Similarly, 256 : ?→√256 = 16; (16 + 1)
2
+ 1 = (17)
2
+ 1 = 289 + 1 = 290
So, 290 is related to 256. Hence, the third option is correct.
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