Question : Directions: Study the given pattern carefully and select the number that can replace the question mark (?) in it.
16 | 27 | 7 |
25 | 8 | 7 |
121 | ? | 12 |
Option 1: 1
Option 2: 16
Option 3: 7
Option 4: 4
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Correct Answer: 1
Solution :
The sum of the square root of the first number and the cube root of the second number is equal to the third number –
Row I:
$\sqrt[2]{16}$ + $\sqrt[3]{27}$ = 4 + 3 = 7
Row II:
$\sqrt[2]{25}$ +$ \sqrt[3]{8}$ = 5 + 2 = 7
Similarly, in
Row III:
$\sqrt[2]{121}$ + $\sqrt[3]{x}$ = 12
⇒ 11 + $\sqrt[3]{x}$ = 12
⇒ $\sqrt[3]{x}$ = 12 – 11
⇒ $x$ = 1
So, the missing number is 1. Hence, the first option is correct.
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