Quantitative Aptitude - Ratio and Proportion
Exam Duration: 45 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 = \(\frac { 1 }{ 2 } :\frac { 3 }{ 8 } \), 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 A : B = 2 : 3, B : C = 4 : 5 and C : C = 6 : 7, then A : B : C : D is :
- (a)
16 : 22 : 30 : 35
- (b)
16 : 24 : 15 : 35
- (c)
16 : 24 : 30 : 35
- (d)
18 : 24 : 30 : 35
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 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 (x : y) = 2 : 1, then (x2 - y2) : (x2 + y2) is :
- (a)
3 : 5
- (b)
5 : 3
- (c)
1 : 3
- (d)
3 : 1
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
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 3 : 5. If 9 is subtracted from each, the new numbers are in the ration 12 : 23. The smaller number is :
- (a)
27
- (b)
33
- (c)
49
- (d)
55
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
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
The ratio of the number of boys and girls in a college is 7 : 8. If the percentage increase 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
If 40% of a number is equal to two-third of another number, what is the ratio of first number to the second number ?
- (a)
2 : 5
- (b)
3 : 7
- (c)
5 : 3
- (d)
7 : 3
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 mean proportional between 234 and 104 is :
- (a)
12
- (b)
39
- (c)
54
- (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
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. 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
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
Gold is 19 times as heavy as water and copper is 9 times as heavy as water. In wat ratio should these be mixed to get an alloy 15 times as heavy as water ?
- (a)
1 : 1
- (b)
2 : 3
- (c)
1 : 2
- (d)
3 : 2
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
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
Which of the following ratios is greatest ?
- (a)
7 : 15
- (b)
15 : 23
- (c)
17 : 25
- (d)
21 : 29
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
What is the ratio whose terms differ by 40 and the measure of which is \(\frac{2}{7}\) ?
- (a)
16 : 56
- (b)
14 : 56
- (c)
15 : 56
- (d)
16 : 72