11 : 132 :: ? — Choose the pair that follows the same rule relating the first number to the second.

Introduction / Context:
We must infer the mapping from 11 to 132 and select the option that exhibits the same relationship. Look for simple multiplicative patterns like n^2 or n*(n+1).

Given Data / Assumptions:

• 11 → 132.
• 132 / 11 = 12 = (11 + 1), suggesting 11 maps to 11 * 12.
• Therefore the rule appears to be n → n * (n + 1).

Concept / Approach:
Test each option for the same structure n : n*(n+1).

Step-by-Step Solution:
Check (9 : 90): 9*(9+1) = 9*10 = 90 ✓Check (10 : 100): 10*(11) = 110 ≠ 100 ✗Check (15 : 250): 15*(16) = 240 ≠ 250 ✗Check (13 : 169): 13*(14) = 182 ≠ 169; 169 is 13^2 ✗Check (7 : 42): 7*(8) = 56 ≠ 42 ✗

Verification / Alternative check:
Since 11 → 132 fits n*(n+1), any correct option must satisfy the same. Only 9 : 90 works.

Why Other Options Are Wrong:

• 10 : 100 and 13 : 169 follow n^2, not n*(n+1).
• 15 : 250 and 7 : 42 do not match n*(n+1) either.

Common Pitfalls:
Confusing n^2 with n*(n+1). The given mapping (11 → 132) disambiguates the correct rule.

Final Answer:
9 : 90