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. 64 : 81 :: 121 : 144 : 169 : ?

Explanation

64 : 81 :: 121 : 144 : 169 : ? Step-by-Step Analysis 1. 64 and 81 64 = 82 81 = 92 The relationship: The second number (81) is the square of the next integer after the square root of the first number (64). That is, √64 + 1 = 9, and 92 = 81. 2. 121 and 144 121 = 112 144 = 122 The relationship: The second number (144) is the square of the next integer after the square root of the first number (121). That is, √121 + 1 = 12, and 122 = 144. 3. 169 and ? 169 = 132 Following the same pattern, the next integer after the square root of 169 is 14, and 142 = 196. Final Answer The missing number is 196.