# If You Count From 1 To 100 How Many 6's Will You Pass On The Way?

This common question is ambiguous and needs more detail. Variations of the answer with explanations are below.    [Literal Sense]  1 is the answer because the actual number '6' (by itself) only occurs once.    [The Digit 6]  20 is the answer because, the digit 6 appears 20 times in this example:  6, 16, 26, 36, 46, 56, 60, 61, 62, 64, 64, 65, 66, 67, 68, 69, 76, 86, 96    [The Number 6]  9 is the answer.    These would be the numbers in which '6' occurs:  6, 16, 26, 36, 46, 56, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 76, 86, 96    This is because one does not count the digits that represent values other than 6 (i.e. 60, 600, 6000, etc.). So, in this case, those with a strikethrough are uncounted. Simply, 6's are only counted in the ones place value.    [Extreme Sense]  An infinite amount is the answer.  Though it is impossible to count to 100 this way, technically, if counting decimals, the digit 6 can appear an infinite amount of times as a decimal (i.e. Tenths place, hundredths place, etc.)
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6, 16, 26, 36, 46, 56, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 76, 86, 96!
Thats 19
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Oddman commented
Perhaps you didn't notice that 66 counts twice.
There is a pattern for this:

6,16,26,36 and so on

so: 6 is one 16 is 2the others are 26, 36, 46, 56, 66, 76, 86, 96, As you can see it is increasing by 10: So 100 divided by 6 equals 10 which matches the total numbers listed above. However 66 has 2 sixes so add one more 6.

You get 11.

Formula (100/6) + 1.   10    +  1 = 11

* your question was a bit vague but if you don't count repeating numbers like 61 62 63 then this is the answer.
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Kristi P. commented
Woops I put the wrong formula, the formula is: 100/10 + 1.
Okay people, you will pass 20 6's. The equation 100/6 + 1 does not apply here. The variable is in the first digit. For instance 60, 61, 62, etc. The twenty are 6, 16, 26, 36, 46, 56, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 76, 86, 96. Now, you might have noticed that there are only Nineteen numbers displayed, granted, the number 66 has two 6's in it. So the answer is twenty. And this applies, for all the different numbers.. 1, 2, 3, 4, 5, 6, 7, 8, and 9.. =D
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Anonymous commented
You will pass 19 6's not 20 6's
Total Nineteen 6s. Clue: 06,16,26,...96 = Ten 6s
60,61,62,...69 = Ten 6s
In both the series, 66 is repeated. Hence total nineteen 6s.
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You will pass about 17 times.
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19
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60
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12
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20
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19
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You would pass 11 sixes...
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10
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20
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11
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Thirteen 13
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20
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16.
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20
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It is 20
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20
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12
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19 :)
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Only 10
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11
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20
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20
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19
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No you forgot about 60 61 62 63 64 65 66 67 68 69
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20
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Nineteen
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There are 10 6's.
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20
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20
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I make it 11.   ////////6,  16, 26, 36, 46, 56, 66 ,76, 86 and 96
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aileeny commented
I now make it 20? AS above plus 60, 61, 62, 63, 64, 65, 67, 68, and 69 (+ 9)
Anonymous commented
Surley in the above comment there are 10 6s not 11? So 19 overall? Or am I missing something?
Anonymous commented
Just realised that 66 has 2 6s...maybe thats the extra 6 I was missing...sorry
20
6 16 26 36 46 56 60 61 62 63 64 65 66 67 68 69 76 86 96
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You got 6, 16, 26, 36, 46, 56, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 76, 86, and 96 so thats yea 19
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Lol There is 20. 6,16, 26, 36, 46, 56, 60, 61, 62, 63, 64, 65, 66 "which has two 6's in it" 67, 68, 69, 76, 86, 96!!!!!!
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You will pass 6,16,26,36,46,56,60,61,62,63,64,65,66,67,68,69,76,86 and 96. That's 20.
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20 if you count each 6.

6, 16, 26, 36, 46, 56, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 76, 86, 96 = count each 6, which equals 20. (don't forget 66 has 2 six's in it)  =)
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If you read the question it says
How many six's will you pass? = 20
How many numbers with six in it. = 19
How many numbers end in six = 10
How many sixes in numbers ending in six = 11
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If you count from 1 to 100, there will be 20 6's you pass on the way because there are two 6’s in 66.
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20....The question is NOT how many 6s in the units place in the number...the question IS how many 6s....
Write it out...20
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9

Interpreted as follows:

SIX, twenty-SIX, thirty-SIX, forty-SIX, fifty-SIX, sixty-SIX, seventy-SIX, eighty-SIX and ninety-SIX

You do not include the following:

16 = sixteen
60 = sixty
61 = sixty-one
... And so forth
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Http://www.mensa.org/workout2.php

MENSA says it is 20.  I'll trust they are right.
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The problem is in the way the question is formatted.  There is room for interpretation.

One view:  How many sixes?  If you break the question down to its simplest form, it becomes clear.  Write down the following numbers: 6, 16, 26, 36, 46, 56, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 76, 86, 96
How many sixes did you write?  20.

Reformat the question:  How many times will you pass a number with 6 in it if you count from 1 to 100? 19.

Is everyone happy with this answer?

There is no other view or acceptable answer.
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Wouldn't it be 10:
6
16
26
36
46
56
66
76
86
96
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