SBI PO 2015: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
6.A is twice as fast as B & B is trice as fast as C. The journey covered by C in 42 min. Will be covered by B in ?
(a)14 min
(b)4 min
(c)5 min
(d)8 min
(e)6 min
7.A article passing threw two hands ,is sold at a profit of 38% at the original price .If the 1st dealer makes a profit of 20%, then the profit % made by second?
(a)15
(b)21
(c)20
(d)22
(e)300
8.If a commission 0f 10% is given on MP of book ,the publisher gains 20% if the commission is increase to 15% the gain % is ? 
(a) 40/3
(b) 10
(c) 20
(d) 15
(e) None of these
Directions (Question 9 – 10)In each of the following questions two equations numbered I and II are given. You have to solve both the equations and give answer if
(a) p = q
(b) p > q
(c) p < q
(d) p > = q
(e) p < = q
9.I. 2p2 + 40 = 18p    
II. q2 = 13q – 42


10.I. 4p2= 16
II. q2 – 10q + 25 = 0
Answers:
1.b
2.a
3.c
4.e; 
5.a
6.(a) 
7. (a) Since,A+B+AB/100=38
20+B +20B/100=38
B=15


8.(a) Let  MP=100,dis=10% so, SP=100-10=90
Since profit =20%, so CP=90*100/120=75Rs
Now discount=15%,so SP=100-15=85
Profit=85-75=10
Profit%=10*100/75=40/3%
9.c

10.c




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