Directions( 1- 5) : Study the following table and answer the questions
Following table shows the population of six cities, percentage of literate population and the ratio of males to females among the literate and illiterate population.
1. What is the population of literate males of City A?
a)3.2 lakh
b)3.6 lakh
c)4.2 lakh
d)4.5 lakh
e)4.8 lakh
2. What is the population of illiterate females of city B?
a)2.4 lakh
b)2.5 lakh
c)2.8 lakh
d)3.2 lakh
e)3.6 lakh
3.What is the total literate population of City C and City D together?
a)15.474 lakh
b)16.248 lakh
c)16.724 lakh
d)17.844 lakh
e)18.6 lakh
4.The literate population of City E is what per cent of the total population of City A ?
a)92%
b)94%
c)96%
d)98%
e)104%
5. The total number of illiterate males in City F is what per cent of its total population?
a)16%
b)20%
c)25%
d)30%
e)36%
6. A square park is surrounded by a 3-metre-wide path. If the area of the path is 192 sq.m then what is the area of the park?
a)144 sq.m
b)169 sq.m
c)196 sq.m
d)225 sq.m
e)256 sq.m
7. Find the cost of painting the walls of a room 8 metres long, 6 metres wide and 5 metres high at Rs 13.5 per square metre.
a)Rs 1720
b)Rs 1780
c)Rs 1840
d)Rs 1890
e)Rs 1920
8.The expense of carpeting a rectangular hall is Rs 10800. Had the length been 5 metres less the expense would have been Rs 9450. What is the length of the room?
a)25 metre
b)30 metres
c)35 metres
d)40 metres
e)45 metres
9.If the length and the breadth of a rectangle increase by 10% and 8% respectively, then by what per cent does the area of the rectangle increase?
a)18%
b)18.2%
c)18.4%
d)18.6%
e)18.8%
10.A cylindrical piece of metal of radius 7 cm and height 12 cm is shaped into a cone of same radius. Then what will be the height of the cone?
a)12 cm
b)24 cm
c)36 cm
d)48 cm
e)18 cm
Answers
1.b
5/8 x 48/100 x 12 = 3.6 lakh
2.c
2/5 x 40/100 x 17.5 = 2.8 lakh
3.a
54/100 x 10.6 + 65/100 x 15 = 15.474 lakh
4.d
(70 x 16.8)/(100 x 12) x 100 = 98%
5.c
5/9 x 45/100 x 100 = 25%
6.b
Let a be the side of the square
(a+6)^2 - a^2 = 192
Solving, we get a = 13
Area = 169 sq.m
7.d
Area of the wall = 2(l +b)h
= 2 x 14 x 5 = 140 sq.m
Cost of painting = 140 x 13.5 = 1890 Rs.
8.d
Let l be the length, b be the breadth and r be the rate
l x b x r = 10800....(1)
(l - 5) x b x r = 9450.....(2)
dividing (1)/(2)
l / (l-5) = 10800/9450
Solving, we get l = 40 metres
9.e
10 + 8 + 80/100 = 18.8%
10.c
Volume of the cylinder = Volume of the cone
22/7 x 7 x 7 x 12 = 1/3 x 22/7 x 7 x 7 x h
Solving, we get h = 36 cm.
a)144 sq.m
b)169 sq.m
c)196 sq.m
d)225 sq.m
e)256 sq.m
7. Find the cost of painting the walls of a room 8 metres long, 6 metres wide and 5 metres high at Rs 13.5 per square metre.
a)Rs 1720
b)Rs 1780
c)Rs 1840
d)Rs 1890
e)Rs 1920
8.The expense of carpeting a rectangular hall is Rs 10800. Had the length been 5 metres less the expense would have been Rs 9450. What is the length of the room?
a)25 metre
b)30 metres
c)35 metres
d)40 metres
e)45 metres
9.If the length and the breadth of a rectangle increase by 10% and 8% respectively, then by what per cent does the area of the rectangle increase?
a)18%
b)18.2%
c)18.4%
d)18.6%
e)18.8%
10.A cylindrical piece of metal of radius 7 cm and height 12 cm is shaped into a cone of same radius. Then what will be the height of the cone?
a)12 cm
b)24 cm
c)36 cm
d)48 cm
e)18 cm
Answers
1.b
5/8 x 48/100 x 12 = 3.6 lakh
2.c
2/5 x 40/100 x 17.5 = 2.8 lakh
3.a
54/100 x 10.6 + 65/100 x 15 = 15.474 lakh
4.d
(70 x 16.8)/(100 x 12) x 100 = 98%
5.c
5/9 x 45/100 x 100 = 25%
6.b
Let a be the side of the square
(a+6)^2 - a^2 = 192
Solving, we get a = 13
Area = 169 sq.m
7.d
Area of the wall = 2(l +b)h
= 2 x 14 x 5 = 140 sq.m
Cost of painting = 140 x 13.5 = 1890 Rs.
8.d
Let l be the length, b be the breadth and r be the rate
l x b x r = 10800....(1)
(l - 5) x b x r = 9450.....(2)
dividing (1)/(2)
l / (l-5) = 10800/9450
Solving, we get l = 40 metres
9.e
10 + 8 + 80/100 = 18.8%
10.c
Volume of the cylinder = Volume of the cone
22/7 x 7 x 7 x 12 = 1/3 x 22/7 x 7 x 7 x h
Solving, we get h = 36 cm.
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