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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


Team Careers360 8th Jan, 2024
Answer (1)
Team Careers360 14th Jan, 2024

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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