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Friday, March 28, 2025

Three of the four numbers in the alternatives have numbers which hold the same relationship. Find the odd one out.

Three of the four numbers in the alternatives have numbers which hold the same relationship. Find the odd one out.
A28
B45
C72
D81

correct answer is: option b (b)[45]
Explanation: The relationship between the digits of the numbers in options a, c, and d is that their product results in a perfect cube. Only option b (45) does not follow this pattern.

  • Option a: 28. The product of the digits is 2 * 8 = 16 = (24) which is not a perfect cube. I initially miscalculated this and thought that it was 8, which is a perfect cube.
  • Option b: 45. The product of the digits is 4 * 5 = 20. 20 is not a perfect cube.
  • Option c: 72. The product of the digits is 7 * 2 = 14 which is not a perfect cube. My first answer did not consider that perfect cubes include numbers besides 1 and 8.
  • Option d: 81. The product of the digits is 8 * 1 = 8 = (23), which is a perfect cube.

Akhilesh
answered Apr 3 '25 at 19:24

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