Question : Directions: Study the given pattern carefully and select the number that can replace the question mark (?) in it.
| 125 | 25 | 10 |
| 216 | 49 | 13 |
| 27 | 121 | ? |
Option 1: 16
Option 2: 8
Option 3: 12
Option 4: 14
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Correct Answer: 14
Solution : Add the cube root of the first column with the square root of the second column, to get the missing number in the third column –
In row one –
$\sqrt[3]{125}$ + $\sqrt[2]{25}$ = 5 + 5 = 10
In row two –
$\sqrt[3]{216}$ + $\sqrt[2]{49}$ = 6 + 7 = 13
Similarly, follow the same pattern for row three –
$\sqrt[3]{27}$ + $\sqrt[2]{121}$ = 3 + 11 = 14
Therefore, the required missing number in the matrix is 14. Hence, the fourth option is correct.
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