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This question was in the logical reasoning section of an exam I had recently appeared in. I still have no clue how this is solved.

If 71:64 then 92:?

The given options are-

  1. 25
  2. 32
  3. 35
  4. 42
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  • 4
    $\begingroup$ 7+1+6+4=18 so 9+2+2+5=18 $\endgroup$
    – user9174
    Commented Jul 27, 2017 at 16:57
  • $\begingroup$ Some more confusion, 7,1 do not enclose any area and 6,4 both do,so 42 $\endgroup$
    – user9174
    Commented Jul 27, 2017 at 17:45
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    $\begingroup$ There is insufficient information to solve this. Multiple answers can be justified. $\endgroup$ Commented Jul 27, 2017 at 19:25
  • $\begingroup$ Yeah I agree with @Jeff Zeitlin. There doesnt seem to be much context here. Dont quite understand what the ":" means either. $\endgroup$
    – avenger12
    Commented Jul 27, 2017 at 23:20
  • $\begingroup$ @avenger12 - the normal reading of A:B in problems like this is "A is to B...", and this problem would be read as "71 is to 64 as 92 is to what?". More verbosely, "The relationship between 71 and 64 is like the relationship between 92 and what?". $\endgroup$ Commented Jul 28, 2017 at 11:14

3 Answers 3

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The logic i have found;

all digits are different, since 35 is the only one that satisfies this condition, it is the answer under this logic :)

Since there are not many digits, numbers etc, one may find other type of answers but i believe this is the best answer!

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the logic i have found:

71 (odd,odd) : 64(even,even) ==> 92 (odd,even) : 25 (even, odd) -Opposites-

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Well, the answer could be

32

The logic is -

71:64 both of these numbers are divisible by (and hence instantly reduce to a further non-reducible fractions) 7, when 1 is subtracted from each (so that the new set of numbers become 70:63 or 10:9).

In this case

92:32 exhibits the same property, when 2 is subtracted from both the numbers to arrive at 90:30 or 3:1

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