Question : Directions: Select the option that is related to the third term in the same way as the second term is related to the first term and the sixth term is related to the fifth term.
5 : 150 :: 6 : ? :: 8 : 576
Option 1: 252
Option 2: 255
Option 3: 225
Option 4: 222
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Correct Answer: 252
Solution :
Given:
5 : 150 :: 6 : ? :: 8 : 576
Add the square and cube of the first number to get the second number –
Like, 5 : 150→5
3
+ 5
2
= 125 + 25 = 150
And, 8 : 576→8
3
+ 8
2
= 512 + 64 = 576
Similarly, 6 : ?→6
3
+ 6
2
= 216 + 36 = 252
So, 252 is related to 6. Hence, the first option is correct.
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