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WorksheetsRatio & Proportion - Practice Questions - (50 Ques)
Total questions: 50
Worksheet time: 25mins
Name
Class
Date
1.
A sum of money is to be distributed among A,B,C,D in the proportion of 5:2:4:3. If C gets Rs.1000 more than D, What is B's share?
a)
Rs. 500
b)
Rs. 1500
c)
Rs. 2000
d)
None of these
2.
If 0.75: x :: 5:8, then x is equal to
a)
1.12
b)
1.16
c)
1.2
d)
1.3
3.
If Rs. 782 be divided into three parts, proportional to 1/2:2/3:3/4, then the first part is?
a)
Rs.182
b)
Rs. 190
c)
Rs.196
d)
Rs. 204
4.
The ratio of three numbers is 3: 4: 5 and the sum of their squares is 1250. The sum of the numbers is:
a)
20
b)
40
c)
50
d)
60
5.
The ratio of three numbers is 3: 4: 7 and their product is 18144. The numbers are:
a)
9,2,31
b)
15,20,25
c)
18,24,42
d)
None of theses
6.
The fourth proportional to 5, 8, 15 is:
a)
18
b)
24
c)
19
d)
20
7.
The Prices of a scooter and a T.V are in the ratio 7:5. If the scooter costs Rs. 8000 more than a T.V set, then the price of a T.V set is:
a)
Rs.23000
b)
Rs.28000
c)
Rs.20000
d)
Rs.48000
8.
Zinc and copper and melted together in the ratio 9 : 11. What is the weight of melted mixture, if 28.8 kg of zinc has been consumed in it?
a)
58 kg
b)
60 kg
c)
64 kg
d)
70 kg
9.
A certain amount was divided between A and B in the ratio 4 : 3. If B’s share was Rs. 480, the total amount was:
a)
Rs.1120
b)
Rs.2310
c)
Rs.1920
d)
Rs.3920
10.
A and B together have 1210. If 4/15 of A's amount is equal to 2/5th of B's amount How much amount does B have?
a)
Rs.460
b)
Rs.484
c)
Rs.550
d)
Rs.664
11.
In a ratio, which is equal to 15:17, if the antecedent is 75,then the consequent is
a)
65
b)
85
c)
95
d)
55
12.
The numbers are in the ratio 3:5. If 9 is subtracted from each the new numbers are in the ratio 12:23. The smaller number is
a)
27
b)
33
c)
49
d)
55
13.
A mixture contains sugar solution and colored water in the ratio of 4 : 3. If 10 liters of colored water is added to the mixture, the ratio becomes 4: 5. Find the initial quantity of sugar solution in the given mixture.
a)
10
b)
20
c)
30
d)
40
14.
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
15.
In a bag there are coins of 25p, 10p, and 5p are in the ratio of 1:2:3. If there are Rs 30 in all, How many 5p coins are there?
a)
50
b)
100
c)
150
d)
200
16.
The ratio of the number of boys and girls in a college is 7:8. If the percentage increases in the number of boys and girls be 20% and 10% respectively, what will be the new ratio?
a)
8:9
b)
17:18
c)
21:22
d)
Cannot be determined
17.
If 40% of a number is equal to the two-third of another number, What is the ratio of the first number to the second number?
a)
2:5
b)
3:7
c)
5:3
d)
7:3
18.
The sum of the three number is 98. If the ratio of the first to second is 2:3 and that of the second to the third is 5:8, then the second number is
a)
20
b)
30
c)
48
d)
58
19.
The salaries of A, B, C are in the ratio 2 : 3 : 5. if the increments of 15%, 10% and 20% are allowed respectively in their salaries, then what will be the new ratio of their salaries?
a)
3:3:10
b)
10:11:20
c)
23:33:60
d)
Cannot be determined
20.
The ratio of 35 : 25 is same as :
a)
2:1
b)
4:1
c)
7:5
d)
7:10
21.
If 25% of P = 75% of Q, then P:Q is
a)
1:1
b)
2:3
c)
3:1
d)
None of these
22.
M1,M2,M3 are three different marks obtained by a student in three different subjects. The marks are combined in such a way that (M1+M2) : (M2+M3) : (M3+M1) in the ratio of 6:7:8 and the total marks he scored is 14.Find M3?
a)
7
b)
14
c)
8
d)
6
23.
What is the ratio whose terms differ by 40 and the measure of 2/7, which is?
a)
16:56
b)
14:56
c)
15:56
d)
16:72
24.
If Rs.510 be divided among A,B,C in such a way that A gets 2/3 of what B gets and, B gets 1/ 4 of what C gets, then their shares are respectively
a)
Rs. 120, Rs. 240, Rs. 150
b)
Rs. 150, Rs. 300, Rs. 60
c)
Rs. 60, Rs. 90, Rs. 360
d)
None of these
25.
The ages of A and B are in the ratio of 3 : 1. Fifteen years hence, the ratio will be 2 : 1.
Their present ages are :
a)
30 years, 10 years
b)
45 years, 15 years
c)
21 years, 7 years
d)
21 years, 17 years
26.
If a carton containing a 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
27.
A sum of Rs. 1300 is divided amongst P, Q, R and S such that P/Q = Q/R = R/S = 2/3, Then P's share is:
a)
Rs.140
b)
Rs.160
c)
Rs.240
d)
Rs.320
28.
What least number must be subtracted from each of the numbers 14, 17, 34 and 42 so that the remainders may be proportional?
a)
3
b)
1
c)
2
d)
7
29.
Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers
a)
2:5
b)
3:5
c)
4:5
d)
6:7
30.
What least number must be subtracted from each of the numbers 14,17,34,42 so that the remainders may be proportional
a)
0
b)
1
c)
2
d)
7
31.
The compounded ratio of (4:5),(11:16),(15:4)
a)
33:16
b)
16:33
c)
3:16
d)
None of these
32.
The lease whole number which when subtracted 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
33.
The ratio of the 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 the income of A is :
a)
Rs.3400
b)
Rs.3600
c)
Rs.4000
d)
Rs.4400
34.
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
35.
What number must be added to two numbers which are in the ration 6:7 so that the ratio becomes 8:9 and sum of the resulting numbers is 289.
a)
34
b)
17
c)
51
d)
Cannot be determined
36.
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
37.
In a class of 70 students, the ratio of boys and girls is 4:3.Among the girls the ratio of the number of rich and poor is 1:4.If the ratio of the number of rich and poor students is 8:27,find the ratio of the number of rich and poor boys in the class
a)
1:3
b)
1:4
c)
1:2
d)
2:3
38.
20 liters of a mixture contains milk and water in the ratio 5 : 3. If 4 liters of this mixture be replaced by 4 liters 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
39.
The electricity bill of a certain establishment is partly fixed and partly varies as the number of units of electricity consumed. When in a certain month 540 units are consumed, the bill is Rs. 1800. In another months 620 units are consumed and the bill is Rs. 2040. In yet another month 500 units are consumed. The bill for that month would be:
a)
Rs.1560
b)
Rs.1680
c)
Rs.1840
d)
Rs.1950
40.
Salaries of Ravi and Sumit are in the ratio 2 : 3. If the salary of each is increased by Rs. 4000, the new ratio becomes 40 : 57. What is Sumit's salary?
a)
Rs.17000
b)
Rs.20000
c)
Rs.34000
d)
Rs.38000
41.
Rs.432 is divided amongst three workers A,B and C such that 8 times A's share is equal to 12 times B's share which is equal to 6 times C's share. How much did A get?
a)
Rs.192
b)
Rs.133
c)
Rs.144
d)
Rs.128
42.
The ratio of the 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
43.
The marks scored by a student in three subjects are in the ratio of 4 : 5 : 6. If the candidate scored an overall aggregate of 60% of the sum of the maximum marks and the maximum marks in all three subjects is the same, in how many subjects did he score more than 60%?
a)
1
b)
2
c)
3
d)
None of these
44.
The ratio of boys to girls in a class is 5 : 3. The class has 16 more boys than girls. How many girls are there in the class?
a)
16
b)
6
c)
24
d)
22
45.
Two numbers are in the ratio 5:6.If 22 is added to the first number and 22 is subtracted from the second number then the ratio of the two numbers becomes 6:5.Find the sum of the two numbers.
a)
248
b)
242
c)
346
d)
343
46.
The least whole number which when subtracted from both the terms of the ratio 6:7 gives a ratio less then 16:21 is
a)
2
b)
3
c)
4
d)
6
47.
A hare and a jackal are running a race. Three leaps of the hare are equal to four leaps of the jackal. For every six leaps of the hare, the jackal takes 5 leaps. Find the ratio of their speeds.
a)
64:25
b)
8:5
c)
5:8
d)
25:64
48.
The ratio of two numbers is 5:6.If a number is added to both the numbers the ratio becomes 7:8.If the larger number exceeds the smaller number by 10,find the number added.
a)
10
b)
20
c)
30
d)
Can't be determined
49.
The sides of the triangle are in the ratio 1/2: 1/3: 1/4 and its perimeter is 104cm. The length of the longest side is
a)
52cm
b)
48cm
c)
32cm
d)
26cm
50.
The ratio of the incomes of A and B is 5:4 and the ratio of the expenditure is 3:2. If at end of the year, Each saves Rs 1600, then the income of A is
a)
Rs.3400
b)
Rs.3600
c)
Rs.4000
d)
Rs.4400
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