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Quantitative Aptitude Practice Test for SBI PO Prelims

QUANTITATIVE APTITUDE PRACTICE TEST
Directions(1-5): Study the following table carefully and answer the questions given below it.
Per annum income of six men and the percentage break-up their spending pattern

Man
Per Annum Income
(in Lacs)
Percentage break up of spending pattern
Eating out
Shopping
Watching Movies
Health
Savings
Miscel-
laneous
Ravi
2.05
21.8
14.6
20.4
16.4
14.5
12.3
Satish
2.25
20.9
15.7
15.6
11.4
15.3
21.1
Arun
1.95
14.3
16.6
18.5
21.5
16.4
12.7
Vilas
2.00
18.6
14.5
18.7
21.5
16.2
10.5
Arif
1.75
17.8
12.8
19.5
21.0
18.2
10.7
Suresh
1.70
12.0
18.6
10.5
18.2
22.4
18.3

1.What is the total amount of savings of all the men together?
a)Rs.1,98,460
b)Rs.1,42,524
c)Rs.1,89,520
d)Rs.1,56,625
e)None of these

2.Who spends the maximum amount on shopping?
a)Ravi
b)Suresh
c)Satish
d)Arun
e)None of these

3.What is the respective ratio of total amount spent by Ravi on Eating out and Watching Movies together to the total amount spent by Arun on the same?
a)156:211
b)217:253
c)253:217
d)211:156
e)None of these

4.Amount spent by Suresh on health is what percent of the total amount spent by all the men together on Health ? (rounded off to two digits after decimal)
a)16.24%
b)14.60%
c)19.04%
d)12.35%
e)None of these

5.Per annum income of Arif is approximately what percent of the total per annum income of all the men together?
a)10%
b)22%
c)27%
d)19%
e)15%

Directions(6-10): Study the following graph carefully and answer the following questions.
Quantity of Wheat (In Thousand tonnes) Exported By Three Countries over the years



6.What is the percent increase in exports of Company C from 2004 to 2008?
a)50%
b)33.33%
c)150%
d)133.33%
e)None of these

7.Total exports of Company A for all the years are approximately what percent of the total exports of Company B for all the years?
a)75%
b)128%
c)139%
d)68%
e)72%

8.Percent rise in exports from the previous year was the maximum during which year for Company B?
a)2005
b)2004
c)2006
d)2008
e)None of these

9.What are the average exports of Company B for all years? (in thousand tonnes rounded off to two digits after decimal)
a)766.67
b)667.14
c)657.14
d)756.57
e)None of these

10.What is the ratio between total exports of the three companies in 2003 and 2006 respectively? 
a)41:29
b)51:29
c)29:51
d)29:41
e)None of these

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

Solution
1.Savings by:
Ravi = (2.05 × 14.5)/100 = Rs.0.29725 lakh
Satish = (2.25 × 15.3)/100 = Rs.0.34425 lakh
Arun = (1.95 × 16.4)/100 = Rs.0.3198 lakh
Vilas = (2 × 16.2)/100 = Rs.0.324 lakh
Arif = (1.75 × 18.2)/100 = Rs.0.3185 lakh
Suresh = (1.70 × 22.4)/100 = Rs.0.3808 lakh
Total savings
= Rs.(0.29725 + 0.34425 + 0.3198 + 0.324 + 0.3185 + 0.3808) lakh
= Rs.1.9846 lakh
= Rs.1,98,460

2.Amount spent on shopping by:
Satish = Rs. (2.25 × 15.7)/100 lakh = Rs.0.35325 lakh
He spends maximum.

3.Amount spent by Ravi on:
Eating out = (21.8 × 2.05)/100 = Rs.0.4469 lakh
Watching movies = (20.4 × 2.05)/100 = Rs.0.4182 lakh
Total amount = Rs.(0.4469 + 0.4182) lakh = Rs.0.8651 lakh
Amount spent by Arun on:
Eating out = (1.95 × 14.3)/100 = Rs.0.27885 lakh
Watching movies = (18.5 × 1.95)/100 = Rs.0.36075 lakh
Total amount = Rs.(0.27885 + 0.36075) lakh = Rs.0.6396 lakh
Required ratio = 0.8651 : 0.6396 = 211 : 156

4.Amount spent on health by Suresh = Rs. (1.70 × 18.2)/100 lakh = Rs.0.3094 lakh
similarly,
Ravi = Rs.0.3362 lakh
Satish = Rs.0.2565 lakh
Arun = Rs.0.41925 lakh
Vilas = Rs.0.43 lakh
Arif = Rs.0.3675 lakh
Total expenditure on health
= Rs.(0.3094 + 0.3362 + 0.2565 + 0.41925 + 0.43 + 0.3675) lakh
= Rs.2.11885 lakh
Required% = (0.3094/2.11885) × 100 = 14.60%

5.Total annual income
= Rs.(2.05 + 2.25 + 1.95 + 2 + 1.75 + 1.7) lakh = Rs.11.7 lakhs
Required% = (1.75/11.7) × 100 = 15% (approx)

6.Increase in exports of Company C from 2004 to 2008
= (750 - 500) thousand tonnes
= 250 thousand tonnes
%increase = (250/500) × 100 = 50%

7.Total exports of Company A
= (350 + 500 + 400 + 600 + 550 + 400 + 500)
= 3300 thousand tonnes
Total exports of Company B
= (500 + 400 + 600 + 800 + 900 + 700 + 700)
= 4600 thousand tonnes
Required% = (3300/4600) × 100 = 72% (approx)

8.It is obvious from the calculation.

9.Average exports of Company B for all the years = (4600/7) = 657.14 thousand tonnes

10.Total exports of three companies in 2003
= (500 + 400 + 550)
= 1450 thousand tonnes
Total exports of the three companies in 2006
= (550 + 900 + 600)
= 2050 thousand tonnes
Required ratio = 1450 : 2050 = 29 : 41
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