SBI PO 2015: Quant Quiz

Directions (1-5): Study the following arrangement carefully and answer the questions given below.
In an exhibition of watches there were three companies HMT, ROMAX and TITAN who introduced their models in the exhibition and it is found at the last of the exhibition that total 300 customers have visited exhibition. 50% customers purchased HMT; 55% customers purchased TITAN; 45% customers purchased ROMAX. 20% of customers who purchased HMT also purchased other two brands. Customers who purchased any of two brands are 95. Customers of only HMT are 20 more than that of only ROMAX. Customers who purchased only HMT and ROMAX are 40.

1. How many of them did not purchase any of the three watches?

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(a) 15
(b) 20
(c) 05
(d) 10
(5) None of these
2. How many of them purchased only one brand of watches?
(a) 175
(b) 160
(c) 165
(d) 170
(5) None of these
3. How many of them purchased at least two brands of watches?
(a) 125
(b) 105
(c) 95
(d) 130
(5) None of these
4. How many of them didn’t purchase only one ROMAX watch?
(a) 160
(b) 105
(c) 260
(d) 265
(5) None of these
5. What is the total number of watches which have been sold?
(a) 450
(b) 445
(c) 455
(d) 305
(5) None of these
Directions (6-10): Study the following information carefully and answer the given questions.
Total 225 people are asked about what type of movies they like. 30 people said they liked only Action movies, 50 said they liked only Fictions and 1/3rd of total number of people liked only Horror movies. People who like Fiction and Horror movies but not Action movies are 1/3rd the number of people who like only Horror. People who like Action and Fiction movies but not Horror movies are 1/4th of the sum of people who like only Action movies and people who like only Fiction movies. Number of people who like Action and Horror movies but not like Fiction moviesare 1/15th of total number of people. Every person like at least one type of movie.
6. How many people like Action movies?
(a) 30
(b) 75
(c) 65
(d) 40
(5) None of these
7. What is the ratio between number of people who like Horror movies and total number of people surveyed?
(a) 5 : 9
(b) 1 : 3
(c) 4 : 9
(d) 2 : 9
(5) None of these
8. What is the difference between number of people who like Fiction movies and number of people like only Fiction movies?
(a) 0
(b) 45
(c) 55
(d) 5
(5) None of these
9. What is the number of people who like all three type of movies?
(a) 70
(b) 25
(c) 15
(d) 20
(5) None of these
10. What is the number of people who like exactly two types of movies?
(a) 60
(b) 70
(c) 155
(d) 75
(5) None of these

Answers:

1. 3
2. 4
3. 1
4. 4
5. 1
Solutions (6-10)
Information given
in the question we assume people like all 3 types movies is x.
30 + 20 + 50 + 15
+ x + 25 + 75 = 225
x + 215 = 225
x = 10


6. 2
7. 1;
Ratio = 125/225 =
5 : 9
8. 3
9. 5; answer-10

10. 1