Quantitative Aptitude - Ratio and Proportion
Exam Duration: 60 Mins Total Questions : 30
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 : C = 2 : 3 : 4, then \(\frac { A }{ B } :\frac { B }{ C } :\frac { C }{ A } \) is equal to :
- (a)
4 : 9 : 16
- (b)
8 : 9 : 12
- (c)
8 : 9 : 16
- (d)
8 : 9 : 24
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 2A = 3B and 4B = 5C, then A : C is :
- (a)
4 : 3
- (b)
8 : 15
- (c)
15 : 8
- (d)
3 : 4
The ratio of 43.5 : 25 is same as
- (a)
2 : 1
- (b)
4 : 1
- (c)
7 : 5
- (d)
7 : 10
If 0.75 : x : : 5 : 8, then x is equal to :
- (a)
1.12
- (b)
1.20
- (c)
1.25
- (d)
1.30
If x : y = 5 : 2, then (8x + 9y) : (8x + 2y) is :
- (a)
22 : 29
- (b)
26 : 61
- (c)
29 : 22
- (d)
61 : 26
If 15% of x = 20% of y, then x : y is :
- (a)
3 : 4
- (b)
4 : 3
- (c)
17 : 16
- (d)
16 : 17
If x2 + 4y2 = 4xy, then x : y is :
- (a)
2 : 1
- (b)
1 : 2
- (c)
1 : 1
- (d)
1 : 4
If (a + b) : (b + c) : (c + a) = 6 : 7 : 8 and (a + b + c) = 14, then the value of c is :
- (a)
6
- (b)
7
- (c)
8
- (d)
14
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 present salary ?
- (a)
Rs. 17,000
- (b)
Rs. 20,000
- (c)
Rs. 25,500
- (d)
None of these
Rs. 366 are divided amongst A, B and C so that A may get \(\frac { 1 } { 2 }\) as much as B and C together, B may get \(\frac { 2 } { 3 }\) as much as A and C together, then the share of A is :
- (a)
Rs. 122
- (b)
Rs. 129.66
- (c)
Rs. 146.60
- (d)
Rs. 183
A sum of Rs. 1300 is divided amongst P, Q, R and S such that \(\frac { P's\quad share }{ Q's\quad share } =\frac { Q's\quad share }{ R's\quad share } =\frac { R's\quad share }{ S's\quad share } =\frac { 2 }{ 3 } \). Then, P's share is :
- (a)
Rs. 140
- (b)
Rs. 160
- (c)
Rs. 240
- (d)
Rs. 320
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
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
A sum of money is to be distributed among A, B, C, D in the proportion of 5 : 3 : 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
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
The third proportional to 0.36 and 0.48 is :
- (a)
0.64
- (b)
0.1728
- (c)
0.42
- (d)
0.94
The prices of a scooter and a T.V. are in the ration 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. 20,000
- (b)
Rs. 24,000
- (c)
Rs. 28,000
- (d)
Rs. 32,000
An amount of Rs. 735 was divided between A, B and C. I each of them had received Rs. 25 less, their shares would have been in the ratio of 1 : 3 : 2. The mony received by C was :
- (a)
Rs. 195
- (b)
Rs. 200
- (c)
Rs. 225
- (d)
Rs. 245
60 kg of an alloy A is mixed with 100 kg of alloy B. If alloy A has lead and tin in the ratio 3 : 2 and alloy B has tin and copper in the ratio 1 : 4, then the amount of tin in the new alloy is :
- (a)
36 kg
- (b)
44 kg
- (c)
53 kg
- (d)
80 kg
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)
\(18\frac { 1 }{ 2 }\)%
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 years, 10 years
- (b)
45 years, 15 years
- (c)
21 years, 7 years
- (d)
60 years, 20 years
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
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
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
The electricity bill of a certain establishment is partly fixed and partly varies as the number of units electricity consumed. When in a certain month 540 units are consumed, the bill is Rs. 1800. In another month 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
The compounded ratio of (2 : 3), (6, 11) and (11 : 2) is :
- (a)
1 : 2
- (b)
2 : 1
- (c)
11 : 24
- (d)
36 : 121