In a group of 25, 13 can speak Latin, 15 can speak French,
and 6 don’t speak either. How many of these speak both Latin
and French?
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Answer / jig
(A Venn diagram can easily confirm the answer below.)
6 out of 25 don't speak both Latin and French, so only 19 speak EITHER Latin OR French OR both.
25 - 6 = 19.
Of the 19 who speak either or both languages, 13 speak Latin, so 6 speak French but not Latin.
19 - 13 = 6.
Of the 19 who speak either or both languages, 15 speak French, so 4 speak Latin but not French.
19 - 15 = 4.
So out of the 25, we have:
6 who don't speak both Latin and French
6 who speak French but not Latin
4 who speak Latin but not French
Therefore, those who speak both Latin and French are 25 - 6 - 6 - 4 = 9.
| Is This Answer Correct ? | 52 Yes | 0 No |
Answer / santhosh
there are totaly 25 members , and 6 will not speak either so now 25-6=19 .now only 19 members will speak these two languages .
now 19-13=6 now this 6 members will speak only french.
and 19-15=4 now this 4 members will speak only latin.
hence 6+4=10,is the number who speak only french and latin.
hence 19-10=9 '9' members can speak both .here '9' is the answer.
| Is This Answer Correct ? | 14 Yes | 0 No |
Total is 25 but out of them 6 dont speak either.
So, 25-6=19
Out of 19, 15 knows French so definately, 19-15=4 knows
exactly Latin
Out of 19, 13 knows Latin so definately, 19-13=6 knows
exactly French
Now 6+4=10 knows exactly French or Latin.
So, 19-10=9 knows both Latin and French
Easy :):):):)
| Is This Answer Correct ? | 8 Yes | 0 No |
Answer / g hussain
n(LUF)=U-N(LUF)'
=25-19
n(LUF)=n(L)+n(F)-n(L^F)
19=13+15-n(L^F)
n(L^F)=28-19
n(L^F)=9
| Is This Answer Correct ? | 7 Yes | 0 No |
from formulae n(aUb)=n(a)+n(b)-n(aRUb),so
n(aUb)=25-6=19,n(a)=13,n(b)=15,n(aRUb)=x,so now,19=13+15-x
28-19=9,so answer is 9
| Is This Answer Correct ? | 0 Yes | 0 No |
Answer / shashikant prasad
Total 25
15 speak French
13 speak Latin
So, 15-13=2
2 speak both language
And
25-(15+13+6)=3
So,
2+3=5
Final ans. is
5 speak both language
| Is This Answer Correct ? | 2 Yes | 22 No |
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In a group of 25, 13 can speak Latin, 15 can speak French, and 6 don’t speak either. How many of these speak both Latin and French?
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