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Select the option that is related to the third number in the same way as the second number is related to the first number.
28 : 729 :: 32 : ?
961
973
824
738
Let’s break it down:
- The first pair is 28 and 729.
- 28 is 2 × 2 × 7. That might not be useful.
- But look—729 is 9³.
- Wait—729 is 27², too. Hmm.
- 28 and 729 don’t share an obvious squared or cubed pattern.
- Let's think exponents.
- 28 ? 2^2 × 7.
- 729 = 9³ or 27², but 27 is close to 28.
- Maybe it’s about adding 1, then cubing? 28 + 1 = 29³ = 24,389 (Nope.)
- Wait, maybe check 32 in the same way:
- 32 is 25.
- Any option is a perfect square or cube?
- 961 = 31²
- 973? Not a square or cube.
- 824? Not matching pattern.
- 738? No clear power link.
- Go back: 28 and 729—anything?
- 27² = 729, 28-1 = 27.
- Then, 32-1 = 31; 31² = 961!
So the pattern is:
Take the first number, subtract 1, then square it to get the second number.
So for 32: 32-1 = 31, and 31² = 961.
Option 1: 961 is correct.
The other options don’t fit this clear subtract-one-then-square rule.
By: santosh ProfileResourcesReport error
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