Multiple choice general knowledge math & puzzles

Find the set which is most appropriate for the group : {(1,2),(9/4,3),(4,4),(25/4,5)}

  1. (16,8)

  2. (22,11)

  3. (24,8)

  4. (10,2.5)
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Each ordered pair follows the pattern y = x²/4, where the first value equals the second value squared divided by 4. Checking: (2)²/4 = 1, (3)²/4 = 9/4, (4)²/4 = 4, and (5)²/4 = 25/4. Option A continues this pattern: (8)²/4 = 64/4 = 16.

AI explanation

Each pair in the set follows the rule x = (y/2)^2: for y=2, x=(2/2)^2=1; for y=3, x=(3/2)^2=9/4; for y=4, x=(4/2)^2=4; for y=5, x=(5/2)^2=25/4. Testing (16,8) against this same rule: (8/2)^2 = 4^2 = 16, which fits perfectly, while none of the other candidate pairs satisfy the relation.

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