Question : Directions: Study the given pattern carefully and select the number that can replace the question mark (?) in it.
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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