Ratio and Proportion
Exam Duration: 45 Mins Total Questions : 30
If A : B = 5 : 7 and B : C = 6 : 11, then A : B : C is :
- (a)
55 : 77 : 66
- (b)
30 : 42 : 77
- (c)
35 : 49 : 42
- (d)
None of these
If A : B = 3 : 4 and B : C = 8: 9, then A : C is :
- (a)
1 : 3
- (b)
3 : 2
- (c)
2 : 3
- (d)
1 : 2
If A : B = \(\frac { 1 }{ 2 } :\frac { 3 }{ 8 } \), B : C = \(\frac { 1 }{ 3 } :\frac { 5 }{ 9 } \) and C : D = \(\frac { 5 }{ 6 } :\frac { 3 }{ 4 } \), then the ratio A : B : C : D is :
- (a)
4 : 6 : 8 : 10
- (b)
6 : 4 : 8 : 10
- (c)
6 : 8 : 9 : 16
- (d)
8 : 6 :10 : 9
If 2A = 3B = 4C, then A : B : C is :
- (a)
2 : 3 : 4
- (b)
4 : 3 : 2
- (c)
6 : 4 : 3
- (d)
20 : 15 : 2
If \(\frac { A }{ 3 } :\frac { B }{ 4 } :\frac {C}{5}\), then A : B : C is :
- (a)
4 : 3 : 5
- (b)
5 : 4 : 3
- (c)
3 : 4 : 5
- (d)
20 : 15 : 2
The ratio of 43.5 : 25 is same as
- (a)
2 : 1
- (b)
4 : 1
- (c)
7 : 5
- (d)
7 : 10
If \(\frac { 1 }{ 5 } :\frac { 1 }{ x } \) = \(\frac { 1 }{ x } :\frac { 1 }{ 1.25 } \), then the value of x is :
- (a)
1.5
- (b)
2
- (c)
2.5
- (d)
3.5
If 0.75 : x : : 5 : 8, then x is equal to :
- (a)
1.12
- (b)
1.20
- (c)
1.25
- (d)
1.30
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
If 76 is divided into four parts proportional to 7, 5, 3, 4, then the smallest part is :
- (a)
12
- (b)
15
- (c)
16
- (d)
19
Two numbers are in the ratio 1 : 2. If 7 added to both, their ratio change to 3 : 5. The greatest number is :
- (a)
26
- (b)
28
- (c)
32
In a bag, there are coins of 25 p, 10 p and 5 p in the ratio of 1 : 2 : 3. If there are Rs. 30 in all, how many 5 p coins are there ?
- (a)
50
- (b)
100
- (c)
150
- (d)
200
The ratio of three numbers is 3 : 4 : 5 and the sum of their squares is 1250. The sum of the numbers is :
- (a)
30
- (b)
50
- (c)
60
- (d)
90
The ratio of three numbers is 3 : 4 : 7 and their product is 18144. The numbers are :
- (a)
9, 12, 21
- (b)
15, 20, 25
- (c)
18, 24, 42
- (d)
None of these
Seats for Mathematics, Physics and Biology in a scholl are in the ratio 5 : 7 : 8. There is a proposal to increade these seats by 40%, 50% and 75% respectively. What will be the ratio of increased seats ?
- (a)
2 : 3 : 4
- (b)
6 : 7 : 8
- (c)
6 : 8 : 9
- (d)
None of these
Ratio of the earnings of A and B is 4 : 7. If th earnings of A increase by 50% and those of B decrease by 25%, the new ratio of their earnings becomes 8 : 7. What are A's earnings ?
- (a)
Rs. 21,000
- (b)
Rs. 26,000
- (c)
Rs. 28,000
- (d)
Data inadequate
In a mixture os 60 litres, the ratio of milk and water is 2 : 1. If this ratio is to be 1 : 2, then the quantity of water to be further added is :
- (a)
20 litres
- (b)
30 liters
- (c)
40 liters
- (d)
60 liters
The fourth proportional to 5, 8, 15 is :
- (a)
18
- (b)
24
- (c)
19
- (d)
20
- (e)
21
The mean proportional between 234 and 104 is :
- (a)
12
- (b)
39
- (c)
54
- (d)
None of these
The third proportional to 0.36 and 0.48 is :
- (a)
0.64
- (b)
0.1728
- (c)
0.42
- (d)
0.94
The third propotional to (x2 - y2) and (x - y) is :
- (a)
(x + y)
- (b)
(x - y)
- (c)
\(\frac { x+y }{ x-y } \)
- (d)
\(\frac { x-y }{ x+y } \)
In a ratio, which is equal to 3 : 4, if the antecedent is 12, then the consequent is :
- (a)
9
- (b)
16
- (c)
20
- (d)
24
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)
\(16\frac { 2 }{ 3 }\)%
- (c)
17%
- (d)
\(18\frac { 1 }{ 2 }\)%
20 litres of a 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
The average age of three boys is 25 years and their ages are in the propotion 3 : 5 : 7. The age of the youngest boy is :
- (a)
21 years
- (b)
18 years
- (c)
15 years
- (d)
9 years
In a college, the ratio of the number of boys to girls 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
The sides of triagle are in the ratio \(\frac { 1 }{ 2 } :\frac { 1 }{ 3 } :\frac { 1 }{ 4 } \) and its perimeter is 104 cm. The length of longest side is :
- (a)
52 cm
- (b)
48 cm
- (c)
32 cm
- (d)
26 cm
In a school, 19% of the boys are same in number as \( \frac { 1 }{ 4 } \)th 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
Zinc and copper are melted together in the ratio 9 : 11. What is the weight of melted mixture, if 28.8 kg of zinc has been condumed in it ?
- (a)
58 kg
- (b)
60 kg
- (c)
64 kg
- (d)
70 kg
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