Select the option in which the numbers share the same relationship as that shared by the given pair of numbers: 4 : 32 and 7 : 98. Operations should be performed on the whole numbers without breaking them into digits.

Question

Accepted Answer

### Given pairs:

* **4 : 32**
* **7 : 98**

Let’s try to determine the pattern:

#### For 4 : 32

Try $4^2 = 16$,
Then $16 	imes 2 = 32$

So:

> $4^2 	imes 2 = 16 	imes 2 = 32$

#### For 7 : 98

Try $7^2 = 49$,
Then $49 	imes 2 = 98$

So:

> $7^2 	imes 2 = 49 	imes 2 = 98$

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###  Identified pattern:

> $x : x^2 	imes 2$

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### Now test the options:

#### 1) **8 : 192**

→ $8^2 = 64$,
→ $64 	imes 2 = 128$

#### 2) **3 : 18**

→ $3^2 = 9$,
→ $9 	imes 2 = 18$

#### 3) **10 : 1000**

→ $10^2 = 100$,
→ $100 	imes 2 = 200$

#### 4) **12 : 144**

→ $12^2 = 144$,
→ $144 	imes 2 = 288$

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###  Correct Answer: **3 : 18**

This option follows the same logic:

> $3^2 	imes 2 = 9 	imes 2 = 18$

Answer

Answer

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