### SBI Quant Quiz

Directions (1-5): 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.
1. How many people like Action movies?
(a) 30
(b) 75
(c) 65
(d) 40
(e) None of these

2. 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
(e) None of these

3. 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
(e) None of these

4. What is the number of people who like all three type of movies?
(a) 70
(b) 25
(c) 15
(d) 20
(e) None of these

5. What is the number of people who like exactly two types of movies?
(a) 60
(b) 70
(c) 155
(d) 75
(e) None of these

Directions(6 – 10):The following line graph gives the ratio of the amounts of imports by a company to the amount of exports from that company over the period from 1995 to 2001.

Ratio of Value of Imports to Exports by a Company over the Years.

6. If the imports in 1998 were Rs. 250 crores and the total exports in the years 1998 and 1999 together was Rs. 500 crores, then the imports in 1999 was?
A. Rs. 250 crores
B. Rs. 300 crores
C. Rs. 357 crores
D. Rs. 420 crores
E. None of these

7. The imports were minimum proportionate to the exports of the company in the year ?
A. 1995
B. 1996
C. 1997
D. 2000
E. None of these

8. What was the percentage increase in imports from 1997 to 1998?
A. 72
B. 56
C. 28
E. None of these

9. If the imports of the company in 1996 was Rs. 272 crores, the exports from the company in 1996 was?
A. Rs. 370 crores
B. Rs. 320 crores
C. Rs. 280 crores
D. Rs. 275 crores
E. None of these

10. In how many of the given years were the exports more than the imports?
A. 1
B. 2
C. 3
D. 4
E. None of these

1.b
2.a
3.c
4.e;
5.a
The ratio of imports to exports for the years 1998 and 1999 are 1.25 and 1.40 respectively.
Let the exports in the year 1998 = Rs. x crores.
Then, the exports in the year 1999 = Rs. (500 - x) crores.
1.25 = 250/x è x = 250 /1.25 = 200 ( Using ratio for 1998
Thus, the exports in the year 1999 = Rs. (500 - 200) crores = Rs. 300 crores.
Let the imports in the year 1999 = Rs. y crores.
Then, 1.40 = y / 300 è y = ( 300 * 1.40 ) = 420
Imports in the year 1999 = Rs. 420 crores.

The imports are minimum proportionate to the exports implies that the ratio of the value of imports to exports has the minimum value.
Now, this ratio has a minimum value 0.35 in 1997, i.e., the imports are minimum proportionate to the exports in 1997.