4
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The following groups of 7 number in each line, are related in each line in a unique way:

1   3   1.5 12.25   1   2   3

1.5 6   2   42.25   1   3   4

3   6   4   61      2   3   4

What are the numbers to replace the "?" in following list?

1   5   2.5 32.25   ?   ?   ?

Hint: An object

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1
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The missing numbers are:

1 2 5

Because:

Lets say numbers are marked in order like:
x y z n a b c
You can find that:
x = a*b/2
y = b*c/2
z = a*c/2

1 5 2.5 32.25 ? ? ?
1 = a*b/2
5 = b*c/2
2.5 = a*c/2
->
2 = a*b
10 = b*c
5 = a*c
->
a = 5/c = 2/b
a*b*c = 5b = 2c
->
10a = 5b = 2c ->
10 * 1 = 5 * 2 = 2 * 5
So missing numbers are:
1 2 5
But I don't know what middle number n should represent.

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  • $\begingroup$ Nice. Pretty sure your n is rot(gur fhz bs k^2, l^2 naq m^2). You could then derive a relationship to your a, b and c as well if it helps to confirm your answer... $\endgroup$ – Stiv Sep 10 at 13:13
  • $\begingroup$ Stiv provided an insight (what is this rot(gur fhz bs k^2, l^2 naq m^2)?:)). $\endgroup$ – Moti Sep 10 at 23:10
  • $\begingroup$ This is the relation of the faces of right angle pyramid $\endgroup$ – Moti Sep 10 at 23:11

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