Three of the following four number-pairs are alike in a certain way and one is different. Select the one that is different.
Answer & explanation
Correct answer: option 2
THE LOGIC;
( \( {(1st number}^{3} \) - \( {(1st number}^{2} \) = 2nd number )
1) 4 : 52,
\( {(4}^{3} \) - \( {(4}^{2} \)
64-16 \(\neq \) 52
2) 5 : 100,
\( {(5}^{3} \) - \( {(5}^{2} \)
125-25 = 100
3) 7 : 294,
\( {(7}^{3} \) - \( {(7}^{2} \)
343-49 = 294
4) 6 : 180,
\( {(6}^{3} \) - \( {(6}^{2} \)
216-36 = 180
Thus, 4 : 52 is the odd one.