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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


Team Careers360 10th Jan, 2024
Answer (1)
Team Careers360 13th Jan, 2024

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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