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Analogies and Classification · Question 29 of 66

Question 29

MediumOriginal question

Select the pair of numbers that has the same relationship as 5 : 24.

Options for question 29

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. 24=52−124 = 5^2 - 1: square the first number and subtract 1.

  2. 72−1=49−1=487^2 - 1 = 49 - 1 = 48, so 7 : 48 matches.

  3. 6 : 32 is 62−46^2 - 4, 8 : 64 is 828^2 and 9 : 18 is a double.

Worth noting

6 : 32 is the tempting one because it is also 'a square minus something'; the amount subtracted must be exactly 1, as in 25−1=2425 - 1 = 24.

Concept
Number analogy in pair-selection form: square minus one
Typical time
70 s
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