Direction: Read the following information carefully and answer the questions based on it. An energy Drink Manufacturing company manufactures energy drinks of three flavours: Cola,
Strawberry and Orange. The company surveyed a sample of 3500 people in each of three cities – Delhi, Mumbai and Bangalore. In the survey all participants were asked to select one of the four options – X, Y, Z and A. Out of these four options, one option indicated that the participant did not like any of the three flavours, while each of the remaining three options indicated the one flavour liked by the Participant. No participant liked more than one flavour. The following radar graph shows the number of participants in these areas who indicated the responses X, Y, Z and A.
In all three given areas combined, the number of participants who like Strawberry flavour was at least 1470 more than those who liked orange flavour. In Bangalore, one – fourth of participants did not like any of the three flavours
1) If the number of participants who liked Orange flavour in Mumbai was lower than the number of participants who liked Orange flavour in either of the other two cities, then find which of the following statement(s) is/are definitely true.
I. Number of participants those who liked cola flavour was higher in Delhi than other two cities.
II. Number of participantswhodid not like any of the flavour in Bangalore was higher than the other two cities.
III. Number of participants who liked orange flavour in Bangalore is 25% more than the number of participants who liked Cola in the same city.
IV. Total number of participants who liked Cola should be higher than either those who liked
Orange flavour or Number of participants who did not like any of the flavour.
A. OnlyI, II are True
B. OnlyI, II and III are True
C. OnlyIII and IV are True
D. OnlyI and IV are True
E. None of these
Sol:
According to Question,
If the number of participants who liked Orange
flavour in Mumbai was lower than number of
participants who liked Orange flavour in either of
the other two cities, then we have case 1 and
Case 2
Statement I,
Number of Participants liked Cola flavour in
Delhi = 1225/1400
Number of Participants liked Cola flavour in
Mumbai = 1120/1260
Number of Participants liked Cola Flavour in
Bangalore = 1050/700
So, 1225 > both 1120 and 1050 and also 1400 >
both 1260 and 700.
This statement is definitely true.
Statement II,
Number of Participants those did not like any of
the flavour in Bangalore = 875
Number of Participants those did not like any of
the flavour in Mumbai = 700
Number of Participants those did not like any of
the flavour in Delhi = 350
This statement is definitely true.
Statement III,
Number of Participants those liked Orange
flavour in Bangalore = 875
Number of Participants those liked Cola Flavour
in Bangalore = 700 or 1050
875 < 1050, so this statement is not definitely true.
Statement IV,
Number of participants those like Cola Flavour =
3395 or 3360
Number of participants those like orange flavour
= 1820
Number of participants those like none = 1925
So, 3395 > 1820 and 1925
This statement is definitely true
Statement I, II and IV are definitely true.
2) In Mumbai, if the number of participants who liked cola flavour is higher than the number of participants those who liked strawberry flavour or Orange flavour or those did not like any flavour, then which of the following given statement(s) is/are definitely false.
I. in Bangalore, the number of participants liked strawberry flavour is lesser than number of participants voted for Cola or Orange or none of the flavour.
II. One – fifth of the participants in Mumbai were those who did not like any of the flavour.
III. Number of participants in Delhi wholiked Strawberry flavour is not more than 0.35 times the total number of participants in Delhi.
A. OnlyI and II are False
B. OnlyII and III are False
C. OnlyIII is False
D. OnlyI is False
E. None of these
Sol:
In Mumbai, if the number of participants who
liked cola flavour is higher than the number of
participants who liked strawberry flavour or
Orange flavour or those who did not likeany
flavour, then we have Case 2 and Case 3.
Case 2.
Case 3.
Statement I. Number of participants those who
liked Strawberry flavour in Bangalore = 1050
Number of participants who liked Cola, orange
and none in Bangalore = 700, 875, 875.
This statement is definitely false.
Statement II. Number of participants in Mumbai
those did not like any of the flavour = 420 or 700
So required % = 700/3500 = 20% or 420/700=
12%
This statement is partially false.
Statement III.Number of Participants those liked
strawberry flavour in Delhi = 1225
Required factor = 1225/3500 = 0.35
This statement is definitely true.
3) Out of the three flavours of energy drink, only those flavours which were selected by at least 32% of the participants in at least two of the three given cities were simultaneously selected for production PAN India. Which of the following flavour(s) could have been selected for production PAN India.
A. Only Cola
B. Both Strawberry and Orange
C. Both Cola and Strawberry
D. Both Cola and Orange
E. None of the above given pair
32% of total participants in a city = 32% of 3500
= 1120
In any of the case Orange don’t have number
which is greater or equal 1120
Number of participants who likes Cola flavour in
three cities = 1225, 1120, 1050 or 1400, 1260,
700. (More than 32% in at least two cities)
Number of participants who likesstrawberry
flavour in three cities = 1400, 1260, 700 or 1225,
1120, 1050. (More than 32% in at least two
cities)
Both Cola and Strawberry.
4) A maximum of how many statements are simultaneously true?
I. In Delhi, 1400 participants liked Strawberry flavour.
II. In Mumbai, 1120 participants liked Cola flavour
III. In Delhi, 350 participants liked orange flavour.
IV. In Bangalore, 30% participants like cola flavour.
A.1
B.2
C.3
D.4
E.0
We havechecked all the cases, andfound in
which particular case the maximum number of
statements are true.
Statement I. True according to case 1
Statement II. True according to case 1
Statement III. True according to case 3
Statement IV. True according to case 1
There are a maximum of 3 statements that are
true according to case 1.
