Word Logic - 2
NOTE - There are more questions based on the passage below. Check all the questions on my profile page.
A linguist wants to make a word out of the following nine letters: A,B,C,D,E,F,G,H,I.
The word must have atleast three letters. Each letter can be used only once.
Following conditions must also be satisfied:
-
If H is selected, atleast 5 others must be selected
-
If G is selected, atmost 3 others must be selected
-
If C or D is selected, G is selected
-
Vowels can not be next to each other
-
Atleast two out of the 3 vowels must be selected
If a word contains all the three vowels, which of the following must be true?
This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try
refreshing the page, (b) enabling javascript if it is disabled on your browser and,
finally, (c)
loading the
non-javascript version of this page
. We're sorry about the hassle.
1 solution
We're told the word contains all three vowels, which makes the final condition redundant.
If the word has three vowels, since vowels cannot be next to each other, there must be at least five letters. That rules out 'G'.
The exclusion of 'G' also forces 'C' and 'D' to be unused, since both only occur in words that also contain 'G'.
That leaves the three consonants 'B', 'F', and 'H' to consider.
There are two possibilities:
a) 'H' is included. The first condition implies that at least 5 other letters must be included, which would include both 'B' and 'F' in addition to the three vowels.
b) 'H' is not included. Since we need to have at least five letters, this would also force 'B' and 'F' to be included.
There are two possibilities (up to ordering): ABEFI and ABEFHI.
Both possibilities include 'B'. One has five letters and the other has six letters, so the second and third answer choices are excluded. One does not include 'H', so the fourth choice is excluded. And neither includes 'G', and thus the fifth choice is excluded. Only the first choice holds true.