Directions (1-5): Study the following
table carefully to answer the questions given below it.
Percentage of Marks
Obtained by Various Students in Various Subjects in an Examination
MARKS
|
||||||
Students
|
English
(out of 100)
|
Hindi
(out of 100)
|
Science (out of 150)
|
History
( out of 60)
|
Maths
(out of 150)
|
Geography (out of 40)
|
A
|
68
|
75
|
82
|
60
|
96
|
55
|
B
|
88
|
73
|
85
|
65
|
88
|
65
|
C
|
75
|
56
|
72
|
75
|
75
|
80
|
D
|
70
|
66
|
80
|
80
|
72
|
62
|
E
|
72
|
60
|
68
|
74
|
68
|
75
|
F
|
85
|
70
|
90
|
70
|
74
|
70
|
1. What is the approximate overall percentage obtained by C in the examination?
a) 78 b)75 c)71 d) 69 e)
65
Answer: C
Explanation :
Marks obtained by C in the exam:
English = 100 x $\frac{75}{100}$
= 100
Hindi = 100 x $\frac{56}{100}$
$\frac{56}{100}$ = 56
Science = 150 x $ \frac{72}{100}$
$\frac{72}{100}$ = 108
History = 60 x $\frac{75}{100}$ = 45
History = 60 x $\frac{75}{100}$ = 45
Maths = 150 x $\frac{75}{100}$ = 112.5
Geography = 40 x $\frac{80}{100}$ = 32
Total marks obtained by C in the exam = 75 + 56 + 108 + 45 + 112.5 + 32 =
428.5
Total maximum marks = 100 + 100+150+60+150+40 = 600
∴ Required percentage = $\frac{428.5}{600}$x 100% = 71.4%
2. What is the difference in the marks obtained by B in English and
Maths together and the marks obtained by F in the same subjects?
a) 15 b) 17 c) 15 d) 28 e)
None of these
Answer : c
Explanation :
Marks obtained by B :
English = 100 x $\frac{88}{100}$ = 88
Maths = 150 x $\frac{88}{100}$= 132
Marks obtained by F:
English = 100 x $\frac{85}{100}$ = 85
Maths = 150 x $\frac{74}{100}$ = 111
Total marks of F in English and Maths = 85 + 111 = 196
Required difference = 220 – 196 = 24
3. The marks obtained by E in
Geography are what per cent of the marks obtained by E in Hindi?
a) 50 b) 55 c) 45 d) 60 e)
None of these
Answer : A
Solution: Marks obtained by E:
Goegraphy = 40 x $\frac{75}{100}$ =
30
Hindi = 100 x $\frac{60}{100}$ = 60
Therefore required percentage = $\frac{30}{60}$ x 100 = 50
4. What is the overall percentage of marks obtained by D in History
and Geography together?
a) 73.4% b) 72.8% c) 70.5 % d) 68.8 % e) None of these
Answer :B
Explanation :
Marks obtained by D:
History = 60 x $\frac{8}{100}$= 48 Geography = 40 x $\frac{62}{100}$ = 24.8
Total marks in History and Geography = 48 + 24.8 = 72.8
Total maximum marks of History and Geography = 60 +40 = 100
∴ The overall percentage of marks obtained by D in
History and Geography together is
= $\frac{72.8}{100}$ x 100% = 72.8%
5. What is the average makes obtained by all the students together
in Science?
a) 77.16 b) 120.50 c) 118 d) 121 e)119.25
Answer: E
Explanation :
Maximum marks in science = 150
Average marks percentage of all student= $\frac{(82 + 85 + 72 + 80
+ 68 + 90)}{6}$ = $\frac{477}{6}$
=79.5
Average marks in science
= 150 x $\frac{79.5}{100}$ = 119.25
Directions (1 to 5): Study the table
carefully to answer these questions:
TABLE SHOEING NUMBER (IN LAKHS) OF INSTRUMENTS
MANUFACTURES BY SIX COMPANIES OVER THE YEARS
Company Year
|
A
|
B
|
C
|
D
|
E
|
F
|
2002
|
45
|
35
|
48
|
42
|
50
|
49
|
2003
|
40
|
32
|
52
|
46
|
48
|
45
|
2004
|
48
|
36
|
50
|
43
|
56
|
48
|
2005
|
49
|
37
|
45
|
48
|
52
|
44
|
2006
|
46
|
30
|
55
|
50
|
54
|
50
|
2007
|
52
|
38
|
47
|
40
|
51
|
52
|
(Andhra Bank PO 2009)
1. What is the average number of
instruments manufactured by company C for all the given years?
a) 49,00,000 b) 49,50,000 c) 48,50,000 d)
48,00,000 e) None of these
Answer: B
= $\frac{(48 + 52+ 50+45+55+47) lakhs}{6}$
= $\frac{297}{6}$
= 4950000
2. The number of instruments
manufactured by company E in 2004 is approximately
what percent of the total number of
instruments manufactured by all the
companies together in 2004?
a) 23 b) 25 c) 20 d) 16 e)
18
Answer : C
Explanation :
Number of
instruments manufactured by company E in 2004 = 56 lakhs
Number of instruments manufactured by all the companies in 2004
= (48 + 36 + 50 + 43 + 56 + 48) lakhs
= 281 lakhs
\ Required percentage =$\frac{56}{281}$ x 100% = 19.92 = 20% approximately
3. Total number of instruments
manufactured by company A is approximately
what percent of the total number of
instruments manufactured by company F for all the given years together?
a) 97 b) 92 c) 87 d) 90 e)
None of these
Answer : A
Explanation :
Total number of instruments manufactured by company A for all the
given years together Þ (45 + 40 + 48 + 49
+ 46 + 52) lakhs = 280 lakhs
Total number of instruments manufactured by company F for all the
given years together
Þ (49 + 45 + 48 + 44 + 50 + 52) lakhs = 288 lakhs
Required percentage = $\frac{280}{288}$ x 100%= 97.22% = 97% approximately
4. The number of instruments
manufactured by company B in 2005 is approximately
what percent of the total number of
instruments manufactured by company B in all the years together?
a) 20 b) 16 c) 14 d) 18 e)
22
Answer : D
Explanation :
Number of instruments manufactured by
company B in 2005 = 37 lakhs
Total number of
instruments manufactured by company B over the years
= (35 + 32 + 36 + 37 + 30 + 38) lakhs = 208 lakhs
\ Required
percentage =$ \frac{37}{208}$
x 100% = 17.78% = 18% approximately
5. What is the ratio between the total number of instrument’s manufactured
by all the companies together in 2007 and that in 2006 respectively?
a)56 : 57 b) 57 : 56 c) 29 : 28 d) 28 : 29 e)
None of these
Answer: A
Explanation:
Total number of instruments manufactures by all the companies
together in the Year 2007
Þ (52 + 38 + 47 + 40
+ 51 + 52) lakhs = 280 lakhs
Total number of instruments manufactures by all the companies
together in Year Year 2006
Þ (46 + 30 + 55 + 50 + 54 + 50) lakhs = 285 lakhs
\ Required ratio =
280 : 285 = 56 : 57