Quantitative Aptitude - Ratio and Proportion
Exam Duration: 45 Mins Total Questions : 30
If A : B = 8 : 15, B : C = 5 : 8 and C : D = 4 : 5, then A : D is equal to :
- (a)
2 : 7
- (b)
4 : 15
- (c)
8 : 15
- (d)
15 : 4
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 \(\frac { A }{ 3 } :\frac { B }{ 4 } :\frac {C}{5}\), then A : B : C is :
- (a)
4 : 3 : 5
- (b)
5 : 4 : 3
- (c)
3 : 4 : 5
- (d)
20 : 15 : 2
If (x : y) = 2 : 1, then (x2 - y2) : (x2 + y2) is :
- (a)
3 : 5
- (b)
5 : 3
- (c)
1 : 3
- (d)
3 : 1
If (4x2 - 3y2) : (2x2 + 5y2) = 12 : 19, then (x : y) is :
- (a)
2 : 3
- (b)
1 : 2
- (c)
3 : 2
- (d)
2 : 1
If x2 + 4y2 = 4xy, then x : y is :
- (a)
2 : 1
- (b)
1 : 2
- (c)
1 : 1
- (d)
1 : 4
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
A fraction which bears the same ratio to \(\frac { 1 } {27 }\) that \(\frac { 3 } { 11 }\) does to \(\frac { 5 } { 9 }\), is equal to :
- (a)
\(\frac { 1 } {55 }\)
- (b)
\(\frac { 1 } {11 }\)
- (c)
\(\frac { 3 } { 11 }\)
- (d)
55
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
Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is :
- (a)
2 : 5
- (b)
3 : 5
- (c)
4 : 5
- (d)
6 : 7
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
What lease number must be subtracted from each of the number 14, 17, 34 and 42 so that the remainders may be proportional ?
- (a)
0
- (b)
1
- (c)
2
- (d)
7
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
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
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
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
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 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
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 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 compounded ratio of (2 : 3), (6, 11) and (11 : 2) is :
- (a)
1 : 2
- (b)
2 : 1
- (c)
11 : 24
- (d)
36 : 121
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
A and B are two alloys of gold and copper prepared by mixing metals in the ratio 7 : 2 and 7 : 11 respectively. If equal quantities of the alloys are melted to form a third alloy C, the ratio of gold and copper in C will be :
- (a)
5 : 7
- (b)
5 : 9
- (c)
7 : 5
- (d)
9 :5
A certain amount was divided betwen A and B in the ratio 4 : 3. If B's share was Rs. 4800, the total amount was :
- (a)
Rs. 11,200
- (b)
Rs. 6400
- (c)
Rs. 19,200
- (d)
Rs. 39,200