QUANTITATIVE APTITUDE PRACTICE TEST
Directions(15): The following table gives the sales of batteries manufactured by a company over the years. Study the table and answer the questions given below.Number of different types of batteries sold by a company over the years (numbers in thousands)
BATTERY>>
YEAR↓

4AH

7AH

32AH

35AH

55AH

TOTAL

1992

75

144

114

102

108

543

1993

90

126

102

84

126

528

1994

96

114

75

105

135

525

1995

105

90

150

90

75

510

1996

90

75

135

75

90

465

1997

105

60

165

45

120

495

1998

115

85

160

100

145

605

a)4AH
b)7AH
c)32AH
d)35AH
e)55AH
2.What is the difference in the number of 35AH batteries sold in 1993 and 1997?
a)24000
b)28000
c)35000
d)39000
e)42000
3.The percentage of 4AH batteries sold to the total number of batteries sold was maximum in the year:
a)1994
b)1995
c)1996
d)1997
e)1998
4.In the case of which battery there was a continuous decrease in sales from 1992 to 1997?
a)4AH
b)7AH
c)32AH
d)35AH
e)55AH
5.What was the approximate percentage increase in the sales of 55AH batteries in 1998 compared to that in 1992?
a)28%
b)31%
c)33%
d)34%
e)37%
Directions(610): Study the following piechart and the table and answer the questions.
PROPORTION OF POPULATION OF SEVEN VILLAGES IN 1997
Village

% Population below poverty line

X

38

Y

52

Z

42

R

51

S

49

T

46

V

58

6.Find the population of village S if the population of village X below poverty line in 1997 is 12160.
a)18500
b)20500
c)22000
d)26000
7.The ratio of population of village T below poverty line to that of village Z below poverty line in 1997 is:
a)11:23
b)13:11
c)23:11
d)11:13
8.If the population of village R in 1997 is 32000, then what will be the population of village Y below poverty line in that year?
a)14100
b)15600
c)16500
d)17000
9.If in 1998, the population of villages Y and V increase by 10% each and the percentage of population below poverty line remains unchanged for all the villages, then find the population of village V below poverty line in 1998, given that the population of village Y in 1997 was 30000. a)11250
b)12760
c)13140
d)13780
10.If in 1999, the population of village R increases by 10% while that of village Z reduces by 5% compared to that in 1997 and the percentage of population below poverty line remains unchanged for all the villages, then find the approximate ratio of population of village R below poverty line to the ratio of population of village Z below poverty line for the year 1999.
a)2:1
b)3:2
c)4:3
d)5:4
Answer key
2.d)
3.d)
4.b)
5.d)
6.c)
7.c)
8.b)
9.b)
10.a)
Solution
For, 4AH = 75 + 90 + 96 + 105 + 90 + 105 + 115 = 676
For, 7AH = 144 + 126 + 114 + 90 + 75 + 60 + 85 = 694
For, 32AH = 114 + 102 + 75 + 150 + 135 + 165 + 160 = 901
For, 35AH = 102 + 84 + 105 + 90 + 75 + 45 + 100 = 601
For, 55AH = 108 + 126 + 135 + 75 + 90 + 120 + 145 = 799
clearly, sales are maximum in case of 32AH batteries.
2.Required difference = [(84 ̶ 45) × 1000] = 39000
3.For, 1992 = (75/543) × 100 = 13.81%
For, 1993 = (90/528) × 100 = 17.05%
For, 1994 = (96/525) × 100 = 18.29%
For, 1995 = (105/510) × 100 = 20.59%
For, 1996 = (96/465) × 100 = 19.35%
For, 1997 = (105/495) × 100 = 21.21%
For, 1998 = (115/605) × 100 = 19.01%
4.From the table it is clear that the sales of 7AH batteries have been decreasing continuously from 1992 to 1997.
5.Required % = [(145 ̶ 108) / 108] × 100 = 34.26% ≈ 34%
6.Let the population of village X be x.
Then, 38% of x = 12160
Or, x = (12160 × 100)/38 = 32000
Now, if s be the population of village S,
then 16 : 11 = 32000 : s
Or, s = ( 11 × 32000)/16 = 22000
7.let N be the total population of all the seven villages.
Then, population of village T below poverty line = 46% of (21% of N) and
population of village Z below poverty line = 42% of (11% of N)
so, required ratio = 46% of (21% of N) : 42% of (11% of N)
= (46 × 21) : (42 × 11)
= 23 : 11
8.Population of village R = 32000 (given)
Let the population of village Y be y.
Then, 16 : 15 = 32000 : y
Or, y = (15 × 32000)/16 = 30000
So, population of village Y below poverty line = 52% of 30000 = 15600
9.Population of village Y in 1997 = 30000 (given)
Let the population of village V be v.
Then, 15 : 10 = 30000 : v
Or, v = (10 × 30000)/15 = 20000
Now, population of village V in 1998 = 20000 + (10% of 20000) = 22000
So, population of village V below poverty line in 1998 = 58% of 22000 = 12760
10.Let the total population of all the seven villages in 1997 be N.
Then, population of village R in 1997 = 16% of N = 16N/100 and
Population of village Z in 1997 = 11% of N = 11N/100.
So, population of village R in 1999 = [(16N/100) + {10% of (16N/100)}] = 1760N/10000 And population of village Z in 1999 = [(11N/100) ̶ {5% of (11N/100)}] = 1045N/10000
Now, population of village R below poverty line for 1999 = 51% of (1760N/10000) And
population of village Z below poverty line for 1999 = 42% of (1045N/10000)
So, required ratio = 51% of (1760N/10000) : 42% of (1045N/10000)
≈ 2 : 1
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