Question

Select the option that is related to the third number in the same way as the second number is related to the first number.
13 : 1331 :: 17 : ?

• A. 2642
• B. 1453
• C. 3375
• D. 1829

Hint:

Memorize the cubes of numbers from 1 to 20. Knowing that $1331 = 11^3$ allows you to immediately see the "subtract 2 then cube" relationship.

Answer 1

The Correct Option is C

Step 1: Understanding the Concept:
This is a number analogy based on cubes. Recognizing common squares and cubes is essential for identifying these patterns quickly.

Step 2: Key Formula or Approach:
The pattern is: $\text{Second Number} = (\text{First Number} - 2)^3$.

Step 3: Detailed Explanation:
For the first pair: \[ 13 \rightarrow (13 - 2) = 11 \] \[ 11^3 = 11 \times 11 \times 11 = 1331 \] Applying this to the third number: \[ 17 \rightarrow (17 - 2) = 15 \] \[ 15^3 = 15 \times 15 \times 15 = 3375 \]

Step 4: Final Answer:
The number related to 17 in the same way is 3375.