1.If a:b=3:7,find the value of (5a+b):(4a+5b)
a)15:44 b)22:35
c)15:49 d)22:47
2.The ratio between two number is 3:5 and their is 40.Find
the larger of two numbers
a)15 b)20 c)25
d)40
3.A bag contains one rupee,50 paise and 25 paise coins in
the ratio 1:2:4.If the
total amount is Rs 75,then find the number of 50 paise coins
in the bag
a)25 b)50 c)75
d)100
4.If (x+4):(3x+15) is the triplicate of 2:3.Find the value
of x
a)1 b)3 c)4
d)none of these
5.If a is 75% of b,b is 150% of c and d is 25% of c,then
find a:d
a)9:1 b)9:2
c)8:3 d)8:1
6.The present ages of two persons are in the ratio
7:8.Twenty years ago the ratio of their ages was 9:11.Find the present age of
the older son
a)64 years b)72
years c)56 years d)40 years
7.Find x:y:z,if 2x+y-5z = 0 and 3x-2y-4z=0
a)1:2:1 b)1:1:1
c)1:1:2 d)2:1:1
8.A certain sum is divided among A,B and C in a manner that
for every rupee that A gets,B gets 75 paise and for every rupee that B gets,C
gets 50 paisee.If B's share in the total sum is Rs 840.Find the share of A
a)Rs 2380 b)Rs 2240 c)Rs 1750 d)Rs 1120
9.Seventy eight is divided into two parts such that five
times the first part and four times the second part are in the ratio 15:14.Find
the first part
a)32 b)36
c)42 d)46
10.A certain amount of money
is divided among A,B and C such that A gets half of what B and C gets
together.B gets one third of what A and C together get.If A got Rs 500 more
than B,then how much money was divided?
a)Rs4500 b)Rs
6000 c)Rs 8000 d)none of these
11.In a school there are 650 students.The ratio of the boys
to that of the girls is 8:5. How many
more girls should join the school so that the ratio becomes 4:3?
a)25 b)50 c)100
d)200
12.A variable x varies directly as the cube of another
variable y.if x=4,y=2,then find y when x
= 32
a)4 b)8 c)16
d)32
13.What should be subracted from both the numbers which are
in the ratio 3:4 so that the ratio becomes 2:3
a)4 b)6 c)10
d)cannot be determined
14.A varies directly as the sum of the quantities B and C.B
in turn varies directly as x and C varies inversely as x.When x=2,A = 6 and
when x=4,A=9.Find the value of A when the value of x=16
a)2 1/2 b)1
c)8 1/2 d)32 1/4
15.The volume of a shere varies directly as the cube of its
radius.If three cubes of radii 3 cm,4 cm
and 5 cm are melted and recast into one sphere,then find the radius of the
sphere
a)5.5 cm b)6
cm c)7 cm d)7.5 cm
Directions for question 16 to 18:These questions are based
on the data given below
There are two colleges in the town-college A and college B.There
are 500 students more in college A than in college B.The ratio of the boys to
that of the girls in college A is 3:2 and that in college B is 4:1.The ratios
of the number of science,humanities and commerce students in college A and
college B are respectively 2:5:3 and 2:3:3.The number of commerce students in
both the colleges is the same.
16.How many students are there in college A?
a)2000
b)2500 c)3000 d)3500
17.How many girls are there in two colleges together?
a)1400
b)1600 c)1700 d)2000
18.How many more/less humanities students are there in
college A than in college B?
a)400 more b)400
less c)500 less d)500 more
19.If (2x+5):(7x-6) is the duplicate ratio of 5:8,then find
the value of x
a)6 b)7 c)10
d)none of these
20.The mean proportional between two numbers is 16 and their
third proportional is 128.Find the smaller of the two numbers
a)8 b)12 c)16
d)32
21.A bag contains 50 p,25 p and 10 p coins in the ratio 5:9:4,amounting
to Rs 206.Find the number of coins of
each type
a)200,360,160
b)160,360,200 c)360,373,123 d)678,234,763
22.what is the ratio whose terms differ by 40 and the
measure of which is 2/7?
a)16:56 b)14:56
c)15:56 d)16:72
23.A sum of Rs 53 is divided among A,B,C in such a way that
A gets Rs 7 more than what B gets and B gets Rs 8 more than what C gets.The
ratio of their shares is
a)16:9:18 b)25:18:10 c)18:25:10 d)15:8:30
24.A certain amount was divided between A and B in the ratio
4:3.If B's share was Rs 4800,the total amount was
a)Rs 11,200 b)Rs 6,400
c)Rs 19,200 d)Rs 39,200
25.If 10% of x = 20% of y,then x:y is equal to
a)1:2 b)2:1
c)5:1 d)10:1
26.x varies inversely as square of y.Given that y=2 for x=1.The
value of x for y=6 will be equal to
a)3 b)9 c)1/3
d)1/9
27.The ratio of incomes of A and B is 5:4 and the ratio of
their expenditures is 3:2.If at the end of the year,each saves Rs 1600,then
income of A is
a)Rs 3400 b)Rs
3600 c)Rs 4000 d)Rs 4400
28.Three containers have their volumes in the ratio
3:4:5.They are full of mixtures of milk and
water.The mixtures contain milk and water in the ratio of (4:1),(3:1) and (5:2)
resp.The contents of all these three containers are poured into a fourth
container.The ratio of milk and water in the fourth container is
a)4:1
b)151:48 c)157:53 d)5:2
29.In a school,10% of the boys are same in number as 1/4rth
of the girls.What is the ratio of
boys to girls in that school?
a)3:2 b)5:2 c)2:1
d)4:3
30.The ratio of number of boys and girls in a school is
3:2.If 20% of the boys and 25% of the
girls are scholarship holders,what percentage of the
students does not get the scholarship?
a)56 b)70 c)78 d)80
31.The sides of a triangle are in the ratio 1/2:1/3:1/4 and
its perimeter is 104 cm.The length of the longest side is
a)52 cm b)48 cm
c)32cm d)26cm
32.which of the following ratios is greatest?
a)7:15 b)15:23
c)17:25 d)21:29
33.In a college the ratio of number of girls to boys is
8:5.If there are 160 girls,the total number of students in the college is
a)100 b)250 c)260
d)416
34.The least whole number which when subracted from both the
terms of the ratio 6:7 gives a ratio less than 16:21 is
a)2 b)3 c)4
d)6
35.The speeds of three cars are in the ratio 5:4:6.The ratio
between the time taken by them to travel the same distance is
a)5:4:6 b)6:4:5
c)10:12:15 d)12:15:10
36.15 litres of mixture contains 20% alcohol and the rest
water.If 3 litres of water be mixed with it,the percentage of alcohol in the
new mixture would be
a)15 b)16 2/3
c)17 d)none of these
37.20 litres of mixture contains milk and water in the ratio
5:3.If 4 litres of this mixture be
replaced by 4 litres of milk,the ratio of milk to water in the new mixture
would be
a)2:1 b)7:3 c)8:3
d)4:3
38.85 kg of a mixture contains milk and water in the ratio
27:7.How much more water is to be added to get a new mixture containing milk
and water in the ratio 3:1?
a)5kg b)6.5kg
c)7.25kg d)8kg
39.The ages of A and B are in the ratio 3:1.Fifteen years hence,the
ratio will be 2:1.Their present ages are
a)30,10 b)45,15
c)21,7 d)60,20
40.The average age of three boys is 25 years and their ages
are in the proportion 3:5:7.The age of the youngest boy is
a)21 b)18 c)15 d)9
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