Quantitative Aptitude - Ratio and Proportion
Exam Duration: 60 Mins Total Questions : 30
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 2A = 3B and 4B = 5C, then A : C is :
- (a)
4 : 3
- (b)
8 : 15
- (c)
15 : 8
- (d)
3 : 4
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
If 15% of x = 20% of y, then x : y is :
- (a)
3 : 4
- (b)
4 : 3
- (c)
17 : 16
- (d)
16 : 17
If (4x2 - 3y2) : (2x2 + 5y2) = 12 : 19, then (x : y) is :
- (a)
2 : 3
- (b)
1 : 2
- (c)
3 : 2
- (d)
2 : 1
If 5x2 - 13xy + 6y2 = 0, then x : y is :
- (a)
(2 : 1) only
- (b)
(3 : 5) only
- (c)
(5 : 3) or (1 : 2)
- (d)
(3 : 5) or (2 : 1)
If \(\frac { x }{ 5 } =\frac { y }{ 8 } \), then (x + 5) : (y + 8) is equal to :
- (a)
3 : 5
- (b)
13 : 8
- (c)
8 : 5
- (d)
5 : 8
If \(\frac { a }{ 3 } =\frac { b }{ 4 } =\frac { c }{ 7 } \), then is equal to :
- (a)
7
- (b)
2
- (c)
\(\frac { 1 }{ 2 } \)
- (d)
\(\frac { 1 }{ 7 } \)
If Rs. 782 be divided into three parts, proporitional to \(\frac { 1 }{ 2 } :\frac { 2 }{ 3 } :\frac { 3 }{ 4 } \), then the first part is :
- (a)
Rs. 182
- (b)
Rs. 190
- (c)
Rs. 196
- (d)
Rs. 204
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
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
A and B together have Rs. 1210. If \(\frac { 4 }{ 15 }\) of A's amount is equal to \(\frac { 2 }{ 5 }\) of B's amount, how much amount does B have ?
- (a)
Rs. 460
- (b)
Rs. 484
- (c)
Rs. 550
- (d)
Rs. 664
Two whole numbers whose sum is 72 cannot be in the ratio :
- (a)
5 : 7
- (b)
3 : 5
- (c)
3 : 4
- (d)
4 : 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
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
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
An amount of Rs. 2430 is divided among A, B and C such that if their shares be reduced by Rs. 5, Rs. 10 and Rs. 15 respectively, the remainders shall be in the ratio of 3 : 4 : 5. Then, B's share was :
- (a)
Rs. 605
- (b)
Rs. 790
- (c)
Rs. 800
- (d)
Rs. 810
The ratio between two numbers is 3 : 4 and their L.C.M. is 180. The first number is :
- (a)
60
- (b)
45
- (c)
20
- (d)
15
An alloy is to contain copper and zinc in the ratio 9 : 4. The zinc required to be melted with 24 kg of copper is :
- (a)
\(10\frac { 2 }{ 3 }\) kg
- (b)
\(10\frac { 1 }{ 3 }\) kg
- (c)
\(9\frac { 2 }{ 3 }\) kg
- (d)
9 kg
85 kg of mixture contains milk and water in the ratio 27 : 7. How much more water is to be added to get a new mixture containing mild and wate in the 3 : 1 ?
- (a)
5 kg
- (b)
6.5 kg
- (c)
7.25 kg
- (d)
8 kg
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 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
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) respectively. The contains 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
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 ratio fo incomes of A and B is 5 : 4 and the ratio of their expeditures 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
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
The least 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
Which of the following ratios is greatest ?
- (a)
7 : 15
- (b)
15 : 23
- (c)
17 : 25
- (d)
21 : 29