# Quantitative Aptitude Practice Test for SBI PO Prelims

QUANTITATIVE APTITUDE PRACTICE TEST
Directions(1-5): Each of the questions below consists of a question and three statements denoted I, II and III are given below it. You have to study the the questions and all the three statements and decide whether the question can be answered with any one or two of the statements or all the statements are required to answer the question.

1.By selling an article what is the project percent gained?
#Statements:
I.5% discount is given on list price.
II.If discount is not given, 20% profit gained.
III.The cost price of the article is Rs.5000/-
a)Only I and II
b)Only I and III
c)Only II and III
d)All I, II and III together
e)None of these

2.What is R's share of profit in a joint venture?
#Statements:
II.R joined him after 3 months.
III.P joined after 4 months with a capital of Rs.1,20,000 and got Rs.6,000 as his share of profit.
a)Only I and III are required
b)Only II and III are required
c)All I, II and III together are required
d)Even with all I, II and III the answer cannot be arrived at
e)None of these

3.How much profit did Mahesh earn on the cost price of an article by selling it?
#Statements:
I.He got 15% discount on the marked price at the time of purchase.
II.He sold it for Rs.3060
III.He earned 2% profit on the marked price.
a)Only I and II both together are necessary.
b)Only II and III both together are necessary.
c)Only I or III and II together are necessary.
d)Even I, II and III all together are not sufficient to answer the question.
e)All three I, II and III together are necessary.

4.What is the speed of the train in kmph?
#Statements:
I.The train crosses an 'x' metre long platform in 'n' seconds.
II.Length of the train is 'y' metres.
III.The train crosses a signal pole in 'm' seconds.
a)Any two of the three.
b)Only II and III
c)Only I and III
d)All I, II and III
e)Question cannot be answered even with information in all three statements.

5.How many students passed in first class?
#Statements:
I.85% of the students who appeared in examination have passed either in first class or in second class or in pass class.
II.750 students have passed in second class.
III.Number of students passed in pass class is 28% of those passed in second class.
a)All I, II and III
b)Only I and III
c)Only II and III
d)Question cannot be answered even with information in all three statements.
e)None of these

Directions(6-10): Study the following table carefully and answer the questions given below it.
Number of Teachers in various Universities (Males & Females) and percentage of PhDs among them

 Universities Males Females No. of teachers % of PhDs No. of teachers % of PhDs A 175 32 125 44 B 250 74 105 40 C 180 45 120 55 D 320 65 80 80 E 290 30 100 35

6.What is the average number of female teachers in all the Universities together?
a)100
b)105
c)108
d)106
e)None of these

7.What is the total number of non-PhD male teachers from University A and C together?
a)137
b)208
c)145
d)218
e)None of these

8.What is the respective ratio of the non-PhD male teachers from University D to the non-PhD female teachers from the same University?
a)7:1
b)13:4
c)9:5
d)16:13
e)None of these

9.What is the difference between the number of female PhD teachers from University E and male non-PhD teachers from the same University?
a)165
b)52
c)158
d)75
e)None of these

10.The number of PhD teachers in University B (both males and females) is approximately what percent of the total number of teachers in the University ? (both males and females)
a)54%
b)68%
c)64%
d)52%
e)58%

1.d)
2.d)
3.e)
4.a)
5.d)
6.d)
7.d)
8.a)
9.e)
10.c)

Solution
1.To find percentage profit we need either C.P. and selling price.
Statement III gives the C.P. of the article.
Statement II and I would give S.P. of the article.
Therefore, all I, II and III are required.

2.The question cannot be answered because R's share in investment is not given.

3.Let the marked price be Rs.x
I.Cost price = (1 - 0.15)x = Rs.0.85x
II.S.P. = Rs.3060
III.Profit = 2% of x = 0.02x
Profit earned on the cost price = (0.02x/0.85x) × 100 = 2.35% (approx)
0.02x = 3060 - 0.85x
or, x = 3060/0.87
Actual profit = 0.02x = 0.02 × 3060/0.87 = Rs.70.34

4.From statements I and II,
speed of train = (x+y)/n m/sec [1 kmph = 5/18 m/sec]
From statements II and III,
speed of train = y/m m/sec
From statements III and I,
if the length of train be z metre, then
speed of train = (z+x)/n = z/m
After determining the value of z, speed can be determined.

5.As we don't know the total number of students, the answer can not be determined even with information in all three statements.

6.Average number of female teachers
= (125 + 105 + 120 + 80 + 100)/5 = 106

7.Required number of non-PhD male teachers
= (175 × 68)/100 + (180 × 55)/100
= 119 + 99 = 218

8.Required ratio = (320×35)/100 : (80×20)/100 = 112 : 16 = 7 : 1

9.Required difference = [(290 × 70)/100] - 35 = 168

10.Number of PhD teachers in University B
= (250 × 74)/100 + (105 × 40)/100 = 185 + 42 = 227
Required% = [227/(250+105)] × 100 = 64% (approx) 