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 : : 49 : 65 : : 169 : ?
Option 1: 193
Option 2: 196
Option 3: 198
Option 4: 197
Correct Answer: 197
Solution :
Given:
121 : 145 : : 49 : 65 : : 169 : ?
Determine the square root of the first term and add 1 to the square of the immediate next number of square root of the first term, to get the second term –
Like in, 121 : 145 → 11
2
= 121; (11 + 1)
2
+ 1 = 145
And in, 49 : 65 → 7
2
= 49; (7 + 1)
2
+ 1 = 65
Similarly, follow the same pattern for 169 : ? → 13
2
= 169, (13 + 1)
2
+ 1 = 197
Therefore, 197 is related to 169. Hence, the fourth option is correct.
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