Quantitative Aptitude Practice Test for SBI PO prelims

QUANTITATIVE APTITUDE PRACTICE TEST

Directions(1-5): In the following graph the number of laptops manufactured by six different companies in the years 2010 and 2011 has been given. Read the graph carefully and answer the questions.
Number of laptops (in thousands) manufactured by 6 different companies

1.The respective ratio between the number of laptops manufactured by Lenovo in 2010 and that by Abascus in 2011 is:
a)8:7
b)7:8
c)3:5
d)5:3
e)None of these

2.What is the average number of laptops (in thousands) manufactured by all companies taken together in 2010?
a)22
b)22.5
c)32.5
d)23.5
e)27.5

3.What is the percentage increase in production of laptops by HP in 2011 in comparison to that in 2010?
a)125%
b)100%
c)150%
d)250%
e)None of these

4.The difference between the number of laptops manufactured by Apple, Lenovo and Samsung in 2010 and that by Dell, HP and Abascus in 2011 is:
a)5500
b)4550
c)3550
d)4500
e)5000

5.In 2011, which company manufactured the maximum number of laptops?
a)Abascus
b)Lenovo
c)Dell
d)Samsung
e)HP

Directions(6-10): Study the following table to answer these questions.
Number of Officers in various Departments of an Organisation in different Scales

Deptt.>> Scale ↓	Personnel	Operations	Systems	Accounts	Maintenance	Public Relations
I	225	725	750	300	325	175
II	120	426	576	288	240	150
III	75	250	320	120	85	100
IV	40	126	144	60	30	50
V	25	65	70	35	20	35
VI	4	20	28	15	8	5

6.In Public Relations department the number of employees in Scale II is less than that in Scale I by what percent? (rounded off to two digits after decimal)
a)14.67%
b)16.67%
c)14.29%
d)16.27%
e)None of these

7.Out of the total number of employees in 'Personnel' department, approximately what percent of employees are in Scale II ?
a)30%
b)28%
c)22%
d)20%
e)25%

8.What percentage of Scale IV officers are deployed in 'Operations' department ?
a)26.5%
b)28%
c)28.5%
d)27%
e)None of these

9.What is the ratio between the total number of employees in Scale III and Scale IV respectively? 
a)19:9
b)9:19
c)17:9
d)9:17
e)None of these

10.Total number of employees in Scale VI is what percent of the total number of employees in Scale I ?
a)2.8%
b)2.4%
c)3.6%
d)3.2%
e)None of these

Answer key

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

Solution

1.Required ratio = 40 : 35 = 8 : 7

2.Required average
= (15 + 25 + 30 + 40 + 15 + 10)/6
= 22.5 thousand

3.Required %increase = [(25 - 10)/10] × 100 = 150%

4.Laptops manufactured by Apple, Lenovo and Samsung in 2010
= (15 + 40 + 25) = 80 thousand
Laptops manufactured by Dell, HP and Abascus in 2011
= (15 + 25 + 35) = 75 thousand
Difference = 5000

5.Abascus = 35000

6.Number of employees in public relations department in:
Scale I = 175
Scale II = 150
Difference = (175 - 150) = 25
Required% = (25/175) × 100 = 14.29% (approx)

7.Number of employees in personnel department
= (225 + 120 + 75 + 40 + 25 + 4)
= 489
Number of employees in Scale II = 120
Required% = (120/489) × 100 = 25% (approx)

8.Total number of Scale IV employees
= (40 + 126 + 144 + 60 + 30 + 50)
= 450
Required% = (126/450) × 100 = 28%

9.Number of employees in scale III
= (75 + 250 + 320 + 120 + 85 + 100)
= 950
Number of employees in scale IV
= (40 + 126 + 144 + 60 + 30 + 50)
= 450
Required ratio = 950 : 450 = 19 : 9

10.Total number of employees in scale I
= (225 + 725 + 750 + 300 + 325 + 175)
= 2500
Total number of employees in scale VI
= (4 + 20 + 28 + 15 + 8 + 5)
= 80
percent = 3.2%