a survey of 100 students at new england college showed the
following:7 take english,history and language,17 take
english and history,15 take english and language,18 take
history and language,48 take english, 49 take history,38
take language.draw a venn diagram and answer the questions
how many students
a)take history but neither of the other two?
b)take english and history but not language?
c)take none of the three?
d)take exactly two of the three?
e) do not take a language? (explanation also needed pls)
ninety customers of a discount store were asked about their
purchases during the past month.20 said they had purchased
books,45 had purchased film,38 had purchased jewellery,15
had purchased books and films,8 had purchased books and
jewellery,6 had purchased film and jewellery,3 had
purchased all the 3 articles.draw a venn diagram and answer
the questions
how many of these ppl had purchased
a)books or films but not jewellery?
b)books and film but not jewellery?
c)jewellery but not books or films?
d)at least one of the three articles?
e)exactly one of the three articles?
a merchant surveyed 400 ppl.180 learned abt the sale of
radio,190 from TV,190 from newspaper,80 from radio and
TV,90 from radio and newspapers,50 from TV and
newspapers,30 from all the three sources.draw a venn
diagram n explain how many learnt
a) newspapers or radio, but not from both?
b) only from newspapaers?
c) from radio or television but not the newspaper?
d) from radio and television but not the newspaper?
e) from atleast two of the three media?
5
human blood has A antigen,B antigen, both A and B or
neither antigens.rh antigen may or may not be there.blood
iis a +ve if a and rh antigens r there but not b antigen.a
person having a and b antigen has AB -ve blood.having only
rh antigen gives O +ve blood the other blood groups r
defined in the same manner.in a hospital the following
records were noted 25 had A antigen,17 had A and b ,27 had
b ,22 had b and RH,30 had RH,12 had none of the antigens,16
had A and Rh antigens and 15 had all the 3 antigens.how
many patients
a)were surveyed?
b)had exactly 1 antigen?
c) had exactly 2 antigens?
d) had O +ve blood?
e) had AB -ve blood?
f) had A-positive blood?
10
3. A chicken farmer surveyed his flock with the
following results. The farmer
Has:
9 fat red roosters(male), 37 fat chickens 6 thin red
roosters
2 fat red hens , 7 thin brown hens ,5 thin red hens
26 fat roosters (total) ,18 thin brown roosters
Answer the following questions about the flock(HINT: in
your Venn diagram make a circle for fat, for male and for
red). How many chickens are:
a) fat? __________
b) red? ___________
c) male? _________
d) fat, but not male? _________
e) brown, but not fat? ________
e) read and fat? _________
15
A store owner decided to raise the price of a particular
item by exactly 10%. Of the following which is NOT the new
price?
In 1991, was the number of people in City A three times
greater then the number of people in City B?
1) In 1991, there were approximately 1.1 million more people
in City A than in City B.
2) In 1991, the 300,000 Catholics in City A made up 20% of
its population, and the 141,000 Buddhists in City B made up
30% of its population.
a) if statement (1) ALONE is sufficient, but statement (2)
alone is not sufficient to answer the question.
b) if statement (2) ALONE is sufficient, but statement (1)
alone is not sufficient to answer the question.
c) if BOTH statements (1) and (2) TOGETHER are sufficient to
answer the question asked, but NEITHER statement ALONE is
sufficient.
d) if EACH statement ALONE is sufficient to answer the
question asked.
e) if statements (1) and (2) TOGETHER are NOT sufficient to
answer the question asked, and additional data specific to
the problem are needed.
All of the tickets for 2 music concerts, X and Y, were
either purchased or given away, and the ratio of X tickets
to Y was 2 to 1. Of the total number of X tickets and Y
tickets, what percentage was purchased?
1) The total number of X tickets and Y tickets, is 240.
2) Of the X tickets, exactly 60% were purchased, and of the
Y tickets, exactly 80% were purchased.
a) if statement (1) ALONE is sufficient, but statement (2)
alone is not sufficient to answer the question.
b) if statement (2) ALONE is sufficient, but statement (1)
alone is not sufficient to answer the question.
c) if BOTH statements (1) and (2) TOGETHER are sufficient to
answer the question asked, but NEITHER statement ALONE is
sufficient.
d) if EACH statement ALONE is sufficient to answer the
question asked.
e) if statements (1) and (2) TOGETHER are NOT sufficient to
answer the question asked, and additional data specific to
the problem are needed.
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