Identify the odd pair: In each pair A–B, the second number should be the cube of the first number (i.e., B = A^3). Choose the pair that does not follow this rule.

Difficulty: Easy

Correct Answer: 4 - 32

Explanation:


Introduction / Context:
Classification questions test your ability to detect the rule that connects items and then spot the item that breaks that rule. Here, each option is a pair A–B. The intended rule is B = A^3 (the cube of A).


Given Data / Assumptions:

  • We have four pairs: 1–1, 2–8, 3–27, 4–32.
  • Target rule: B must equal A^3.
  • All calculations use exact integer cubes.


Concept / Approach:
The cube operation is defined as A^3 = A * A * A. Verify each pair by computing A^3 and comparing to B.


Step-by-Step Solution:

Check 1–1: 1^3 = 1, so B = 1 matches.Check 2–8: 2^3 = 8, so B = 8 matches.Check 3–27: 3^3 = 27, so B = 27 matches.Check 4–32: 4^3 = 64, but B = 32, which does not match.


Verification / Alternative check:
You can reverse-check by taking the cube root of B. cube_root(32) is not 4 (4^3 = 64). Hence this pair violates the rule.


Why Other Options Are Wrong:

1–1 follows B = A^3 exactly.2–8 follows B = A^3 exactly.3–27 follows B = A^3 exactly.


Common Pitfalls:
Mixing up squares and cubes is common. Another slip is computing 4^3 as 32 (it is 64). Always compute A * A * A carefully to avoid mental-math errors.


Final Answer:
4 - 32 is the odd pair because 32 ≠ 4^3 (which is 64).

More Questions from Classification

Discussion & Comments

No comments yet. Be the first to comment!
Join Discussion