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Quantitative Aptitude Practice Test for SBI PO Prelims

QUANTITATIVE APTITUDE PRACTICE TEST
Directions(1-5): Study the following tables carefully and answer the given questions.
Number of Cars (in thousands) of Different Models and Colours sold in two Metro Cities in a year. 

Model
Metro M
Metro H
Colour Type
Colour Type
Black
Red
Blue
White
Silver
Black
Red
Blue
White
Silver
A
40
25
55
75
15
45
32
40
60
20
B
20
35
60
80
20
30
37
39
81
35
C
35
30
50
90
35
40
42
41
86
37
D
45
40
45
85
40
35
39
37
90
42
E
50
35
35
60
30
50
44
43
77
22
F
55
42
40
75
52
47
34
45
87
17

1.The total number of silver coloured cars sold in Metro H is approximately what percentage to that of Metro M?
a)130%
b)140%
c)90%
d)100%
e)110%

2.What is the difference between the number of blue colour cars model C sold in Metro M and number of red colour cars model F sold in Metro H?
a)8,000
b)10,000
c)12,000
d)15,000
e)None of these

3.In Metro M the number of cars sold was maximum for which of the colour-model combinations?
a)White - C
b)Blue - B
c)Silver - B
d)White - D
e)None of these

4.The total number of blue coloured cars of Model E and D sold in Metro H is exactly equal to the number of White coloured cars of which model in Metro M?
a)B
b)F
c)C
d)A
e)None of these

5.The difference between the White coloured cars sold between the two metros of which of the following models is the minimum?
a)A
b)C
c)D
d)F
e)None of these

Directions(6-10): Study the following table carefully and answer the given questions.
Percent marks obtained by 6 students in different subjects.

Subject>>
Student↓
Physics
Out of 150
Chemistry
Out of 75
Maths
Out of 200
History
Out of 100
Geography
Out of 50
English
Out of 75
A
77
63
89
55
64
72
B
69
72
71
78
69
66
C
82
78
69
65
75
57
D
73
81
76
67
58
63
E
58
69
54
74
66
75
F
66
57
61
62
71
59

6.What is the total marks obtained by B in all subjects?
a)425
b)542
c)469.5
d)468.5
e)None of these

7.What is the average marks obtained by 6 students in Chemistry out of 75 marks?
a)55.5
b)70
c)52.5
d)64.5
e)None of these

8.What is the difference in the total marks obtained by C in Physics and Chemistry and that obtained by E in the same subjects?
a)43
b)38
c)38.75
d)42.75
e)None of these

9.What is the percent marks obtained by A in both Maths and History? (Find up to two decimal places)
a)75%
b)77.67%
c)48%
d)78.88%
e)None of these

10.What is the average marks obtained by 6 students in Geography out of 50 marks? (Find up to two decimal places)
a)33.58
b)31.47
c)38.18
d)36.26
e)None of these

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

Solution
1.No. of silver coloured cars sold in Metro H
= 20 + 35 + 37 + 42 + 22 + 17 = 173
In Metro M = 15 + 20 + 35 + 40 + 30 + 52 = 192
Required% = (173/192) × 100 = 90% (approx)

2.Blue coloured cars model C sold in Metro M = 50,000
Red coloured cars model F sold in Metro H = 34,000
Difference = 50,000 - 34,000 = 16,000

3.90,000 is the largest no. of cars sold in Metro M and it is for white coloured model C

4.Total no. of blue coloured cars of Model E and D sold in Metro H = 43 + 37 = 80
In Metro M, 80 nos. of white coloured Model B was sold.

5.Difference between the white coloured cars sold between the two Metros:
A : 75 - 60 = 15
B : 81 - 80 = 1
C : 90 - 85 = 5
D : 90 - 86 = 4
E : 77 - 60 = 17
F : 87 - 75 = 12
The minimum difference is 1 and it is for Model B.

6.Marks obtained by B in different subjects are:
Physics = (69 × 150)/100 = 103.5
Chemistry = (72 × 75)/100 = 54
Maths = (71 × 200)/100 = 142
History = (78 × 100)/100 = 78
Geography = (69 × 50)/100 = 34.5
English = (66 × 75)/100 = 49.5
Total marks obtained by B in all the subjects = 103.5 + 54 + 142 + 78 + 34.5 + 49.5 = 461.5

7.Total marks obtained by 6 students in Chemistry
= (63 + 72 + 78 + 81 + 69 + 57) × 75/100 = (420 × 75)/100
Therefore, average marks obtained by 6 students in Chemistry out of 75
= (420 × 75)/(6 × 100) = 52.5

8.Total marks obtained in Physics and Chemistry by
C = (82/100 × 150) + (78/100 × 75) = 123 + 58.5 = 181.5
E = (58/100 × 150) + (69/100 × 75) = 87 + 51.75 = 138.75
Required difference = 181.5 - 138.75 = 42.75

9.Total marks obtained by A in Maths and History = (89/100 × 200) + (55/100 × 100) = 233
Total maximum marks in Maths and History = 200 + 100 = 300
Required% = (233/300) × 100 = 77.67%

10.Total marks obtained by 6 students in Geography
= (64 + 69 + 75 + 58 + 66 + 71) × 50/100 = 201.5
Therefore, average marks obtained by 6 students in Geography out of 50 = 201.5/6 = 33.58
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