Choose the correct alternative from the options given below to replace the…

2013

Choose the correct alternative from the options given below to replace the question mark (?) in the puzzle diagram:

image.png

Answer: C. 25In each tree, the bottom number equals the product of the square roots of the two top numbers (i.e. the geometric-mean rule: bottom = √(top-left) ×…

  1. A.

    60

  2. B.

    50

  3. C.

    25

  4. D.

    35

Attempted by 41 students.

Show answer & explanation

Correct answer: C

In each tree, the bottom number equals the product of the square roots of the two top numbers (i.e. the geometric-mean rule: bottom = √(top-left) × √(top-right)).

Check: √4 × √9 = 2 × 3 = 6, and √9 × √16 = 3 × 4 = 12.

Apply the same rule to the third tree: √16 × √? = 20 → 4 × √? = 20 → √? = 5 → ? = 25.

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