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Showing posts with the label December 2013

Probable Numbers in () + () + () = 30


What's the question?

Addition of 3 odd numbers can't be even number. Here you have to do the same bringing 30 in result. So you need to do some trick. There are number of possible answers given to this question. Let's see what most common answers given.

1. Using factorial !

3! + 9 + 15 = 30.

2. Using decimal points.

11.3 + 15.7 + 3 = 30.

3. Changing base of numbers.

Assuming it in base 9 numbers,

9 + 9 + 9 = 30.

If we assume ! is allowed as in (1) which can be represented in other way,

(3x2x1) + 9 + 15 = 30

Now some body other replace that bracket with simple addition within it like,

(5+7) + 11 + 7 = 30

or

(15-13) + 15 + 13 = 30

This has to be valid as well & number of such possible combinations are valid!
 

Using decimal point is another form of this trick!

(11 + 3/10) + (15 + 7/10) + 3 = 30
 

In every above trick it's assumed that addition, multiplication, division, subtraction allowed within the bracket!
 

For the change of base, I think they would have written it in subscript of 30 otherwise infinite number of answers again. Like, if we assume it in base 5 then,

13 + 11 + 1 = 30.
 

I think, only answer with less questions is leaving first space blank & write,

+ 15 + 15 = 30

where first '+' is unary sign used to represent positive number while second one is operator for addition. Again, this comes with assumption that using only 2 numbers allowed as it's specifically not mentioned in question that you have to use all 3 numbers.


Numbers in () + () + () = 30

Probably this is the answer expected otherwise we need to call the creator of this for what he/she is expecting!

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