Explain with answer
If there are 3 alphabets in English alphabetical series between alphabets written against numbers 10 and 22. Then how many alphabets in English alphabetical series are there between alphabets written against numbers 18 and 22?
A. More than three
A survey was conducted in a community of 350 people regarding three games - Chess ,Carrom and Chinese Checkers. The Following information is obtained in the survey.
(i) Thrice the no. of people who play all the three games is equal to the no. of people who Chinese Checkers .
(ii) The no. of people who play Chinese Checkers and Carrom is equal to the no. of people who play Chess only
(iii) In every three people who play Chess and Chinese Checkers only, there are five people who play none of the three games.
(iv) In every seven people who play Chinese Checkers, four people play Carrom also.
(v) For every four people who play exactly two games,there is one person who plays Carrom and Chinese Checkers only and two persons who play none of the three games
1. How many people play exactly two games?
2. How many people play Chess but not Carrom?
3. How many people do not play Chinese Checkers?
4.How many people play Chess or Carrom
Statements:a. Some boys are scholars b. Some teachers are boys c. All scholars are observes Conclusions:1. Some scholars are boys 2. Some scholars are not boys 3. Some observers are boys 4. Some teachers are scholars Answer:A. 1, and 3 follow B. 1, 3, and 4 follow C. Either 1 or 2 and 3 follow D. None of the above
Logic behind the answer:
(i) At any given time only 2 statements can be used to make a conclusion(Otherwise there will be fallacy of 4 or more terms). So let us take the first two statements.
a. Some boys are scholars b. Some teachers are boys
For this case no conclusion exists as both the statements are 'particular'.
(ii) Let us take statements a and c:
a. Some boys are scholars c. All scholars are observes
Since these statements do not create any fallacy, a conclusion is posible. The conclusion is 'Some observers are boys'.
(iii) Let us take statements b and c:
b. Some teachers are boys c. All scholars are observes
These statements create fallacy of 4 terms, so no conclusion is possible.
So all the above analysis: Our only conclusion is that Some observers are boys. (Given 3rd conclusion)
But on closer analysis of the given 1st conclusion we can see that it is but same as the 1st statement. Since 1st statement is taken to be true, 1st conclusion is also true.
So final list of possible conclusions: 1st and 3rd conclusions