How many vowels?

Logic Level 1

Can you fill in the blank?

tw e lv e \text{tw}{\color{#D61F06}\text{e}}\text{lv}{\color{#D61F06}\text{e}} th i rt ee n \text{th}{\color{#D61F06}\text{i}}\text{rt}{\color{#D61F06}\text{ee}}\text{n} f ou rt ee n \text{f}{\color{#D61F06}\text{ou}}\text{rt}{\color{#D61F06}\text{ee}}\text{n} f i ft ee n \text{f}{\color{#D61F06}\text{i}}\text{ft}{\color{#D61F06}\text{ee}}\text{n} s i xt ee n \text{s}{\color{#D61F06}\text{i}}\text{xt}{\color{#D61F06}\text{ee}}\text{n}

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9 solutions

Henry U
Oct 25, 2018

If we count the number of vowels in the sentence without the blank, we get 12. However, by filling the blank with twelve , we get two new vowels. If we check the possibilities, we find that fifteen has 3 vowels which combine with the other 12, so there are fifteen vowels in the sentence.

So I cannot count the word "vowel" as a vowel? Why not?

Deborah Krolls - 2 years, 7 months ago

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A vowel is a letter, not a word

Henry U - 2 years, 7 months ago

there are twelve plan vowels in this short sentence. I think you can do like this way only and it is the easiest to find out the right answer

Ugas Ali - 2 years, 7 months ago

Any of the answers would work, because there is nothing in the instructions to suggest you need to make the sentence true when you fill in the blank, just that you need to fill in the blank.

Steve Zagieboylo - 2 years, 7 months ago

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If nothing is said about the truth of a sentence you can assume it is true.

Henry U - 2 years, 7 months ago

Ok thanks I put 12.

oli tesla - 2 years, 7 months ago
Nashita Rahman
Oct 29, 2018

We need to find the total number of vowels in the sentence. The blank should be filled in such a way that the number of vowels is exactly the same as the sentence says.

Now, without counting the blank there are 12 vowels in total. But we can't fill the blank with twelve because that will increase the number of vowels in the sentence to 14.

We see that its only fifteen that perfectly fits the blank without changing the meaning of the sentence.

If I count the word "vowel" as just another vowel it's sixteen. No?

Deborah Krolls - 2 years, 7 months ago

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The word "vowel" itself alone isn't a vowel .. a,e,i,o,u are known as vowels. There are two vowels in the word "vowel". So you can't count the word "vowel" as another vowel. I hope you got it!

Nashita Rahman - 2 years, 7 months ago

Trick question. Nobody mentioned including the missing word. The question should be more specific.

Alan Midwood - 2 years, 7 months ago

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I agree that it's tricky but it's a fun+easy question I suppose.

Nashita Rahman - 2 years, 7 months ago

I feel like an idiot now 0_0

Abdalrhman Salman - 2 years, 7 months ago

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Lol! Be glad that you've learnt something new and fun.

Nashita Rahman - 2 years, 7 months ago

This was fairly simple because you can count 12 vowels in the sentence, if you add twelve it would go to 14. So 15 is they only one that fits perfectly.

Frown4Joey Goddard - 2 years, 7 months ago

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I totally agree.

Nashita Rahman - 2 years, 7 months ago
Ervyn Manuyag
Oct 28, 2018

There are 12 vowels and fifteen and 3 vowels and 12+3=15. It doesn’t work for the rest

The answer may be also 12 because the blank space may be written with numbers not with letters

Rene Valdes Asiain - 2 years, 7 months ago

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That would be a solution if you had filled the blank yourself.

Rudolf Kaibel - 2 years, 7 months ago

No because the answers are written spelled out, good idea though.

Sara Wessland - 2 years, 6 months ago

Everyone seems to be forgetting that the word "vowels" adds to the count, so I say the correct answer is either "sixteen" (12+3+1) or "13".

John Grant - 2 years, 7 months ago

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A vowel is the letter a e i o u. The word vowel isn’t a vowel.

Sara Wessland - 2 years, 6 months ago

The statement contains 12 vowels and if you replace the blank with any of the options, extra vowels are added. To make the statement true, we have to select the option with the number of vowels that will add to 12 to make a number that is equal to the number in the option that you have chosen. Below is an equation that represents the problem. Let x be the number of vowels in the word in the option that you have chosen and let y be the number in the option.

12 + x = y 12 + x = y

We have to find the option that contains the variables that satisfy this equation


Here are the equations with defined variables for all options

  • Option 1: 12 + 2 12 12 + 2 ≠ 12

  • Option 2: 12 + 3 13 12 + 3 ≠ 13

  • Option 3: 12 + 4 14 12 + 4 ≠ 14

  • Option 4: 12 + 3 = 15 12 + 3 = 15

  • Option 5: 12 + 3 16 12 + 3 ≠ 16


Option 4 contains three vowels and if we add 3 to 12 , we get 15 , which is the number in option 4 so therefore, Option 4 is the correct answer.

Abha Vishwakarma
Oct 29, 2018

The number of vowels in the sentence without the word in the blank will be 12. Counting the number of vowels in the option and adding, we get that the blank should be filled with the option 'fifteen' to satisfy the condition of the number of vowels. This problem is really interesting and one of a kind!

Hani Haddad
Oct 28, 2018

We all ready have 12 vowels so we have this equation: (number of vowels of n) + 12 = n , which is verified by fifteen (3+12=15).

J H
Nov 4, 2018

Add 2 + 2 + + 2 + 1 + 1 + 3 = 12 Then: 12 is out. vowels are now 14 13. vowels are now 15 14. vowels are now 16 15. vowels are now 15 15 = 15 Vowels are a e i o u

B D
Oct 31, 2018

There are 12 vowels without the missing word then you have to count the vowels from the missing word.

a) 12 + 2 12 12 + 2 \neq 12

b) 12 + 3 13 12 + 3 \neq 13

c) 12 + 4 14 12 + 4 \neq 14

d) 12 + 3 = 15 \boxed{12 + 3 = 15}

e) 12 + 3 16 12 + 3 \neq 16

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