Ratio and Proportion - 1
1) The compound
ratio of 4:5, 7:8 and 10:21 is:
a)1:1 b) 4:7 c) 7:4 d) 1:3
2) What is the mean
proportion between 81 and 49
a)63 b)81 c)9 d)16
3) Find the mean
proportion between234 and 104 ?
a)60 b)156 c)81 d)128
4) Find the third
proportion to3&9
a)27 b) 15 c) 12 d)18
5) What is the third proportion to 18 and 12
a)10 b) 11
c)
12 d)8
6) Find the fourth
proportion of 8,12,6
a)15 b) 4 c)
9 d) 7
7) Find the fourth
proportion to3/2, 3/4, 5/6
a) 5/12 b) 12/5 c)
15/11 d) 11/15
8)
What number should be added to each 6,14,18
and 38 , so that the resulting numbers make a proportion?
a)1 b)2 c)3 d)4
9) When x is
subtracted from the numbers 9,15,27 remainders are in continued proportion.
What is x?
a)4 b)5 c)3 d)7
10) The ratio of
third proportional to 12 and 30 and the mean proportional between 9 and 25 is
a)2:1 b)5:1 c)7:15 d)9:14
11) A:B = 5:7, B:C =
7:11, then A:B: C =?
4:5:11 b)3:5:7 c)5:7:11 d)11:7:5
12) If a:b=2:3,
b:c=5:6, then find a:c=
a) 2:5 b)
1:2 c) 5:9 d) 2:3
13) If a : b = 3 : 7,
b : c = 7 : 9, then a : b : c = ?
a) 3 : 5 : 6 b)
3 : 5 : 6 c) 21:49:63 d) None
14) A:B = 3:4, B:C =
5:7, C:D = 8:15 then A:D= ?
a)
3:7 b)2:7 c)5:6 d)3:5
15) A:B=3:4, B:C=2:3
and C:D= 8:5 then A :D ?
a)4:5 b)5:4 c)8:5 d)3:5
16) ½ P = 1/3 Q =1/5 R , then P:Q:R ?
a)2 :3 :5 b)3:2:1
c)5:3:1
d)None
17) If 3A = 7B, the
A:B = ?
a)3:4 b) 4:3 c) 7:3 d) 4:7
18) 2A=3B=5C then A:B:C?
a)15:10:6
b)2:3:5 c)5:3:2 d)3 :4 :6
19) 2/3 A = ¾ B=4/5
C , the A:B:C ?
a)15:16:18 b)18:16:15 c)4:7:8 d)12:9:8
20) If 15% of A is
the same as 25% of B, then A:B is
a)
10:6 b) 2:1
c) 1:2 d)
2:3
21) If a:b =3:2 ,
then the value of (3a+2b) : (2a+3b) is
a)13/12 b)12/13 c)15/11 d)11/15
22) The ratio of 43.5 : 25 is same as
a)4:1 b)2:1 c)1:2 d)None of these
23) If a:b:c = 2:3:4 and 2a- 3b +4c= 33, then the value of
c is
a)6 b)9 c)12 d)14
24) Three numbers are
in the ratio ½:2/3:¾. The difference between the greatest and smallest numbers
is 36. The numbers are
a)72,84,108 b)60,72,96 c)72,84,96 d)72,96,108
25) Three numbers are
in the ratio 3:4:5. The sum of the largest and the smallest equals the sum of
the second and 52.The smallest number is
a)20 b)27 c)39 d)52
26) Five pens and four
pencils cost as much as three pens and seven pencils. The ratio of the cost one
pen to that of one pencil is :
a)2:3 b)3:2 c)5:4 d)4:7
27) Production of
company A is 120% of the production of company B and 80% of the production of
company C . What is the ratio of productions of companies A,B and C?
a)6:5:9 b)6:5:4 c)12:10:15 d)10:12:15
28) Ratio of the
earnings of A and B is 4:7 respectively. If the earnings of A increase by 50%
and the earnings of B decrease by 25%, the new ratio of their earnings becomes
8:7 respectively. What are A’s earnings?
a)26000 b)28000 c)21000 d)Data inadequate
29) The sum of two
numbers is equal to 40 and their difference is 4. The ratio of the numbers is
a)9:7 b)11:9 c)3:5 d)2:7
30) In a carton
containing dozen mirrors is dropped, which of the following cannot be the ratio
of broken mirrors to unbroken mirrors?
a)2:1 b)
3:1 c)
3:2 d)
7:5
31)
In
a class of 60 students, which of the following could not be ratio of the number
of boys and number of girls?
a)7:5 b)11:1 c)5:7 d)8:5
32)
A
12 meter long pole casts 15 meter long shadow. What is the length of the 2nd
pole if its shadow is 25 meter?
a) 20 m b)16m c)24m d)18m
33)
The
marks of Ramya in Arithmetic and Reasoning are in the ratio of 5:3. The total
marks in these two subjects is 144. Find the difference between the marks in
these two subjects?
a)36 b)54 c)42 d)60
34)
The
ratio of incomes of A and B as well as B and C is 3:2. If one third of A’s
income exceeds one fourth of C’s income by Rs 1000.What is B’s income in
Rupees?
a)Rs 3000 b)Rs
2500 c)Rs 3500 d)Rs 4000
35)
The
ratio of the number of boys and girls in the college is 7:13. If the number of
girls in the college is 143 , what is the total number of students in the
college?
a)200 b)205 c)210 d)220
36) In a town the ratio of men and women
is 5 : 3 and if the difference between
men and women population is 1200. The
total population is:
a)Rs.3000 b) Rs.4800c) Rs.4000 d) Rs.2400
37)
Rs.
1050 is divided among P,Q and R. The
share of P is 2/5 of the combined share of Q and R. Thus P gets
:
a) Rs.200
b) Rs.300 c) Rs.320 d) Rs.420
38) A sum of money is to be divided among P, Q and R in
the ratio of 2 : 3 : 5. If the total share of P and R together is Rs1400, what
is the total money?
a)Rs 2000 b)Rs
1800 c)Rs 1600 d)RS 2500
39)
A
sum of money is divided among A,B,C and D in the ratio of 3:4:9:10
respectively. If the share of C is Rs 2580 more than the share of B, then what
is the total amount of money of A and D together?
a) Rs 5676 b)Rs 6192 c)Rs
6708 d)Rs 7224
40)
Rs
73689 are divided between A and B in the ratio 4:7. What is the difference
between thrice the share of A and twice the share of B?
a)Rs 36699 b)Rs 46893 c)Rs 13398 d)None
41) A man’s property is to be distributed among the wife, son and daughter in the ratio 3:4:2 and if the daughter gets Rs.12000, the wife’s share is
a)Rs.18000b) Rs.9000c) Rs.6000 d) Rs.3000
42) A person sold big, medium and small
sized apples for Rs 15, Rs 10 and Rs 5 respectively. The total numbers of
apples sold were in the ratio 3:2:5. Find the average cost of an apple?
a) Rs 5 b)
Rs 7
c)Rs 9 d)Rs 11