Question : Directions: Study the given pattern carefully and select the number that can replace the question mark (?) in it.
121 | 64 | 144 |
27 | ? | 8 |
14 | 12 | 14 |
Option 1: 64
Option 2: 49
Option 3: 56
Option 4: 72
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Correct Answer: 64
Solution : In a column of the given table, add the square root of the first number and the cube root of the second number to obtain the third number.
In the first column→$\sqrt121$ + $\sqrt[3]{27}$ = 11 + 3 = 14
In the third column→$\sqrt144$ + $\sqrt[3]{8}$ = 12 + 2 = 14
Similarly, in the second column→
⇒ $\sqrt64$ + $\sqrt[3]{x}$ = 12
⇒ 8 + $\sqrt[3]{x}$ = 12
⇒ $\sqrt[3]{x}$ = 12 – 8
⇒ $\sqrt[3]{x}$ = 4
⇒ $x$ = 4
3
= 64
So, 64 is the missing number in the given figure. Hence, the first option is correct.
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