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.
Related Questions
Question : Directions: Study the given pattern carefully and select the number that can replace the question mark (?) in it.
| 125 | 25 | 10 |
| 216 | 49 | 13 |
| 27 | 121 | ? |
Option 1: 16
Option 2: 8
Option 3: 12
Option 4: 14
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
Question : Directions: Study the given pattern carefully and select the number that can replace the question mark (?) in it.
| 14 | 23 | 97 |
| 22 | 41 | 167 |
| 31 | 24 | ? |
Option 1: 144
Option 2: 110
Option 3: 134
Option 4: 122
Question : Directions: Study the given pattern carefully and select the number that can replace the question mark (?) in it.
| 7 | 14 | 144 |
| 11 | 16 | 234 |
| 12 | ? | 266 |
Option 1: 17
Option 2: 18
Option 3: 19
Option 4: 20
Question : Directions: Study the given pattern carefully and select the number that can replace the question mark (?) in it.
| 9 | 4 | ? |
| 5 | 8 | 5 |
| 28 | 24 | 42 |
Option 1: 14
Option 2: 15
Option 3: 12
Option 4: 16
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