QUANTITATIVE APTITUDE PRACTICE TEST
Directions(16): Study the following table carefully and answer these questions.NUMBER OF CANDIDATES APPEARED AND QUALIFIED IN A COMPETITIVE EXAMINATION FROM DIFFERENT STATES OVER THE YEARS
Year>>
Sate↓

1997

1998

1999

2000

2001


App.

Qual.

App.

Qual.

App.

Qual.

App.

Qual.

App.

Qual.


M

5200

720

8500

980

7400

850

6800

775

9500

1125

N

7500

840

9200

1050

8450

920

9200

980

8800

1020

P

6400

780

8800

1020

7800

890

8750

1010

9750

1250

Q

8100

950

9500

1240

8700

980

9700

1200

8950

995

R

7800

870

7600

940

9800

1350

7600

945

7990

885

a)10.87%
b)11.49%
c)12.35%
d)12.54%
e)13.05%
2.The percentage of the total number of qualified candidates to the total number of appeared candidates among all the five states in 1999 is:
a)11.49%
b)11.84%
c)12.21%
d)12.57%
e)12.73%
3.What is the percentage of candidates qualified from State N for all the years together, over the candidates appeared from State N during all the years together?
a)12.36%
b)12.16%
c)11.47%
d)11.15%
e)None of these
4.What is the average of candidates who appeared from State Q during the given years?
a)8700
b)8760
c)8810
d)8920
e)8990
5.In which of the given years the number of candidates appeared from State P has maximum percentage of qualified candidates?
a)1997
b)1998
c)1999
d)2000
e)2001
6.Total number of candidates qualified from all the states together in 1997 is approximately what percentage of the total number of candidates qualified from all the states together in 1998?
a)72%
b)77%
c)80%
d)83%
e)86%
Directions(710): The following table gives the percentage of marks obtained by seven students in six different subjects in an examination. Study the table and answer the questions based on it.The numbers in the brackets give the maximum marks in each subject.
Subjects(max
marks)>>
Student↓

Maths
(150)

Chemistry
(130)

Physics
(120)

Geography
(100)

History
(60)

Computer
Science
(40)

Ayush

90

50

90

60

70

80

Aman

100

80

80

40

80

70

Sajal

90

60

70

70

90

70

Rohit

80

65

80

80

60

60

Muskan

80

65

85

95

50

90

Tanvi

70

75

65

85

40

60

Tarun

65

35

50

77

80

80

a)409
b)419
c)429
d)439
e)449
8.What is the overall percentage of Tarun?
a)52.5%
b)55%
c)60%
d)63%
e)64.5%
9.What are the average marks obtained by all the seven students in Physics? (rounded off to two digits after decimal)
a)77.26
b)89.14
c)91.37
d)96.11
e)103.21
10.The number of students who obtained 60% and above marks in all the subjects is:
a)1
b)2
c)3
d)None
e)Can't be determined
Answer key
2.b)
3.d)
4.e)
5.e)
6.c)
7.e)
8.c)
9.b)
10.b)
Solution
2.Required% = [(850+920+890+980+1350)/(7400+8450+7800+8700+9800)] × 100
= (4990/42150) × 100 = 11.84%
3.Required% = [(840+1050+920+980+1020)/(7500+9200+8450+9200+8800)] × 100
= (4810/43150) × 100 = 11.15%
4.Required avg = (8100+9500+8700+9700+8950)/5 = 44950/5 = 8990
5.The percentage of candidates qualified to candidates appeared from state P during different years are:
For, 1997 = (780/6400) × 100 = 12.19%
For, 1998 = (1020/8800) × 100 = 11.59%
For, 1999 = (890/7800) × 100 = 11.41%
For, 2000 = (1010/8750) × 100 = 11.54%
For, 2001 = (1250/9750) × 100 = 12.82%
So, maximum percentage is for the year 2001.
6.Required% = [(720+840+780+950+870)/(980+1050+1020+1240+940)] × 100
= (4160/5230) × 100 = 80%(approx)
7.Aggregate marks obtained by Sajal
= [(90% of 150) + (60% of 130) + (70% of 120) + (70% of 100) + (90% of 60) + (70% of 40)]
= 135 + 78 + 84 + 70 + 54 + 28 = 449
8.Aggregate marks obtained by Tarun
= [(65% of 150) + (35% of 130) + (50% of 120) + (77% of 100) + (80% of 60) + (80% of 40)]
= 97.5 + 45.5 + 60 + 77 + 48 + 32 = 360
Total maximum marks = (150 + 130 + 120 + 100 + 60 + 40) = 600
Overall percentage of Tarun = (360/600) × 100 = 60% 9.Average marks obtained in Physics by all the seven students = 1/7 [(90% of 120) + (80% of 120) + (70% of 120) + (80% of 120) + (85% of 120) + (65% of 120) + (50% of 120)] = 1/7 (520% of 120) = 624/7 = 89.14 10.From the table it is clear that Sajal and Rohit have 60% or more marks in each of six subjects.
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